now , some preferred embodiments of the present invention will be described detailedly below : ______________________________________embodiment 1______________________________________ f = 1 . 0 ˜ 1 . 589r . sub . 1 = 5 . 2540 d . sub . 1 = 0 . 0815 n . sub . 1 = 1 . 72342 ν . sub . 1 = 38 . 0r . sub . 2 = 1 . 1981 d . sub . 2 = 0 . 3014r . sub . 3 = - 64 . 0574 d . sub . 3 = 0 . 1935 n . sub . 2 = 1 . 80518 ν . sub . 2 = 25 . 4r . sub . 4 = - 1 . 7706 d . sub . 4 = 0 . 0611 n . sub . 3 = 1 . 51118 ν . sub . 3 = 51 . 0r . sub . 5 = 2 . 1700 d . sub . 5 = 1 . 2580 ˜ 0 . 2649r . sub . 6 = 4 . 3124 d . sub . 6 = 0 . 0815 n . sub . 4 = 1 . 72 ν . sub . 4 = 42 . 1r . sub . 7 = 1 . 2007 d . sub . 7 = 0 . 4016 n . sub . 5 = 1 . 6485 ν . sub . 5 = 45 . 8r . sub . 8 = - 1 . 4631 d . sub . 8 = 0 . 0766r . sub . 9 = 1 . 1928 d . sub . 9 = 0 . 0652 n . sub . 6 = 1 . 72342 ν . sub . 6 = 38 . 0r . sub . 10 = 0 . 6313 d . sub . 10 = 0 . 0288 ˜ 0 . 0912r . sub . 11 = 0 . 6403 d . sub . 11 = 0 . 0978 n . sub . 7 = 1 . 804 ν . sub . 7 = 46 . 6r . sub . 12 = 3 . 7617 d . sub . 12 = 0 . 0570r . sub . 13 = 0 . 8881 d . sub . 13 = 0 . 0468 n . sub . 8 = 1 . 744 ν . sub . 8 = 44 . 7r . sub . 14 = 0 . 5475 d . sub . 14 = 0 . 4244 n . sub . 9 = 1 . 67003 ν . sub . 9 = 47 . 3r . sub . 15 = 0 . 8106 d . sub . 15 = 0 . 0815r . sub . 16 = 3 . 7634 d . sub . 16 = 0 . 0615 n . sub . 10 = 1 . 78472 ν . sub . 10 = 25 . 7r . sub . 17 = 0 . 8420 d . sub . 17 = 0 . 0619r . sub . 18 = 3 . 9741 d . sub . 18 = 0 . 0823 n . sub . 11 = 1 . 58921 ν . sub . 11 = 41 . 1r . sub . 19 = 1 . 5948 f . sub . 1 = - 1 . 7813 - f . sub . 2 = 11 . 8158 f . sub . 3 = 1 . 3883______________________________________ ______________________________________embodiment 2______________________________________ f = 1 . 0 ˜ 1 . 587r . sub . 1 = 5 . 6713 d . sub . 1 = 0 . 0814 n . sub . 1 = 1 . 72 υ . sub . 1 = 42 . 1r . sub . 2 = 1 . 1523 d . sub . 2 = 0 . 3255r . sub . 3 = - 24 . 6163 d . sub . 3 = 0 . 1546 n . sub . 2 = 1 . 80518 ν . sub . 2 = 25 . 4r . sub . 4 = - 2 . 0972 d &# 39 ;. sub . 3 = 0 . 0081r &# 39 ;. sub . 4 = - 2 . 2618 d . sub . 4 = 0 . 0610 n . sub . 3 = 1 . 50137 ν . sub . 3 = 56 . 4r . sub . 5 = 2 . 7085 d . sub . 5 = 1 . 3174 ˜ 0 . 3328r . sub . 6 = 3 . 2343 d . sub . 6 = 0 . 0814 n . sub . 4 = 1 . 72 ν . sub . 4 = 42 . 1r . sub . 7 = 0 . 7385 d . sub . 7 = 0 . 3836 n . sub . 5 = 1 . 6485 ν . sub . 5 = 45 . 8r . sub . 8 = - 1 . 4136 d . sub . 8 = 0 . 0765r . sub . 9 = 1 . 3889 d . sub . 9 = 0 . 0651 n . sub . 6 = 1 . 72342 ν . sub . 6 = 38 . 0r . sub . 10 = 0 . 6610 d . sub . 10 = 0 . 0237 ˜ 0 . 0786r . sub . 11 = 0 . 6548 d . sub . 11 = 0 . 1111 n . sub . 7 = 1 . 804 ν . sub . 7 = 46 . 6r . sub . 12 = 7 . 0504 d . sub . 12 = 0 . 0598r . sub . 13 = - 0 . 9411 d . sub . 13 = 0 . 0468 n . sub . 8 = 1 . 744 ν . sub . 8 = 44 . 7r . sub . 14 = 0 . 8609 d . sub . 14 = 0 . 3999 n . sub . 9 = 1 . 66998 ν . sub . 9 = 39 . 3r . sub . 15 = - 0 . 9236 d . sub . 15 = 0 . 0500r . sub . 16 = 6 . 3609 d . sub . 16 = 0 . 0614 n . sub . 10 = 1 . 78472 ν . sub . 10 = 25 . 7r . sub . 17 = 0 . 8373 d . sub . 17 = 0 . 0618r . sub . 18 = - 48 . 3564 d . sub . 18 = 0 . 0822 n . sub . 11 = 1 . 58913 ν . sub . 11 = 61 . 1r . sub . 19 = - 1 . 0554 f . sub . 1 = - 1 . 7791 f . sub . 2 = 11 . 8013 f . sub . 3 = 1 . 3873______________________________________ ______________________________________embodiment 3______________________________________ f = 1 . 0 ˜ 1 . 458r . sub . 1 = 2 . 4225 d . sub . 1 = 0 . 0816 n . sub . 1 = 1 . 713 ν . sub . 1 = 53 . 9r . sub . 2 = 1 . 1551 d . sub . 2 = 0 . 4082r . sub . 3 = - 33 . 2515 d . sub . 3 = 0 . 2041 n . sub . 2 = 1 . 80518 ν . sub . 2 = 25 . 4r . sub . 4 = - 2 . 6202 d . sub . 4 = 0 . 0612 n . sub . 3 = 1 . 50137 ν . sub . 3 = 56 . 4r . sub . 5 = 1 . 4239 d . sub . 5 = 1 . 1889 ˜ 0 . 4151r . sub . 6 = 2 . 6396 d . sub . 6 = 0 . 4412 n . sub . 4 = 1 . 68893 ν . sub . 4 = 31 . 1r . sub . 7 = 0 . 9257 d . sub . 7 = 0 . 3633 n . sub . 5 = 1 . 6516 ν . sub . 5 = 58 . 7r . sub . 8 = - 1 . 8282 d . sub . 8 = 0 . 0041r . sub . 9 = 1 . 4003 d . sub . 9 = 0 . 0657 n . sub . 6 = 1 . 72342 ν . sub . 6 = 38 . 0r . sub . 10 = 0 . 6641 d . sub . 10 = 0 . 0378 ˜ 0 . 0901r . sub . 11 = 0 . 6873 d . sub . 11 = 0 . 1102 n . sub . 7 = 1 . 7859 ν . sub . 7 = 44 . 1r . sub . 12 = 6 . 3436 d . sub . 12 = 0 . 1224r . sub . 13 = - 0 . 8140 d . sub . 13 = 0 . 0506 n . sub . 8 = 1 . 72 ν . sub . 8 = 43 . 7r . sub . 14 = 0 . 7542 d . sub . 14 = 0 . 2600 n . sub . 9 = 1 . 66998 ν . sub . 9 = 39 . 3r . sub . 15 = - 0 . 8544 d . sub . 15 = 0 . 0531r . sub . 16 = 2 . 1073 d . sub . 16 = 0 . 0612 n . sub . 10 = 1 . 78472 ν . sub . 10 = 25 . 7r . sub . 17 = 0 . 8296 d . sub . 17 = 0 . 0694r . sub . 18 = - 6 . 8119 d . sub . 18 = 0 . 0816 n . sub . 11 = 1 . 58913 ν . sub . 11 = 61 . 1r . sub . 19 = 1 . 0722 f . sub . 1 = - 1 . 6220 f . sub . 2 = 13 . 3478 f . sub . 3 = 1 . 3030______________________________________ ______________________________________embodiment 4______________________________________ f = 1 . 0 ˜ 1 . 456r . sub . 1 = 2 . 7119 d . sub . 1 = 0 . 0817 n . sub . 1 = 1 . 713 ν . sub . 1 = 53 . 9r . sub . 2 = 1 . 2463 d . sub . 2 = 0 . 3876r . sub . 3 = - 37 . 0068 d . sub . 3 = 0 . 2185 n . sub . 2 = 1 . 80518 ν . sub . 2 = 25 . 4r . sub . 4 = - 2 . 6686 d . sub . 4 = 0 . 0613 n . sub . 3 = 1 . 50137 ν . sub . 3 = 56 . 4r . sub . 5 = 1 . 3744 d . sub . 5 = 1 . 1828 ˜ 0 . 4084r . sub . 6 = 3 . 0705 d . sub . 6 = 0 . 4624 n . sub . 4 = 1 . 68893 ν . sub . 4 = 31 . 1r . sub . 7 = 0 . 9025 d . sub . 7 = 0 . 3640 n . sub . 5 = 1 . 6516 ν . sub . 5 = 58 . 7r . sub . 8 = - 1 . 6293 d . sub . 8 = 0 . 0041r . sub . 9 = 1 . 3059 d . sub . 9 = 0 . 0874 n . sub . 6 = 1 . 72342 ν . sub . 6 = 38 . 0r . sub . 10 = 0 . 6312 d . sub . 10 = 0 . 322 ˜ 0 . 0846r . sub . 11 = 0 . 6471 d . sub . 11 = 0 . 1144 n . sub . 7 = 1 . 7859 ν . sub . 7 = 44 . 1r . sub . 12 = 3 . 6198 d . sub . 12 = 0 . 0609r . sub . 13 = - 1 . 0349 d . sub . 13 = 0 . 0408 n . sub . 8 = 1 . 697 ν . sub . 8 = 48 . 5r . sub . 14 = 1 . 8342 d . sub . 14 = 0 . 2749 n . sub . 9 = 1 . 64769 ν . sub . 9 = 33 . 8r . sub . 15 = - 1 . 2644 d . sub . 15 = 0 . 1156r . sub . 16 = 4 . 3007 d . sub . 16 = 0 . 0613 n . sub . 10 = 1 . 78472 ν . sub . 10 = 25 . 7r . sub . 17 = 0 . 9236 d . sub . 17 = 0 . 0613r . sub . 18 = - 10 . 0803 d . sub . 18 = 0 . 1021 n . sub . 11 = 1 . 618 ν . sub . 11 = 63 . 38r . sub . 19 = - 0 . 8906 f . sub . 1 = - 1 . 6232 f . sub . 2 = 13 . 3582 f . sub . 3 = 1 . 3062______________________________________ wherein the reference symbols r 1 through r 19 represent radii of curvature on the surfaces of the respective lens elements , the reference symbols d 1 through d 18 designate thicknesses of the respective lens elements and airspaces therebetween , the reference symbols n 1 through n 11 denote refractive indices of the respective lens elements , the reference symbols ν 1 through ν 11 represent abbe &# 39 ; s numbers of the respective lens elements , the reference symbols f 1 through f 3 designate focal lengths of the first , second and third lens groups respectively and the reference symbol f denotes focal length of the lens system as a whole which is expressed taking the focal length at the wide position as 1 . of the embodiments described above , embodiment 1 is a lens system which has the composition shown in fig1 and comprises a first lens group consisting of a negative meniscus lens element and a cemented lens component , the aberration characteristics of said lens system being illustrated in fig5 ( in case of f = 1 . 6 ), fig6 ( in case of f = 1 . 3 ) and fig7 ( in case of f = 1 ). the embodiment 2 has the composition shown in fig2 and comprises a first lens group consisting of a negative meniscus lens element and a positive and negative lens element which are separated , radii of curvature on the object side surface of said negative element being represented by r &# 39 ; 4 and the airspace between the separated lens elements is designated by d &# 39 ; 3 in the embodiment . the aberration characteristics of the embodiment 2 are illustrated in fig8 ( f = 1 . 6 ), fig9 ( f = 1 . 3 ) and fig1 ( f = 1 ). further , the embodiments 3 and 4 have the compositions shown in fig . 3 and fig4 respectively and commonly comprise a first lens group in which the image side lens component is a cemented doublet . the aberration characteristics of these embodiments are illustrated in fig1 through fig1 ( f = 1 . 6 , f = 1 . 3 and f = 1 . 0 ) and fig1 through fig1 ( f = 1 . 6 , f = 1 . 3 and f = 1 . 0 ) respectively . as is understood from the foregoing descriptions and embodiments illustrated above , the present invention provides a very compact wide - angle zoom lens system wherein aberrations are favorably corrected in spite of a wide field angle of 84 ° at its wide position , and the embodiments 1 and 2 are epoch - making compact wide - angle zoom lens systems which are usable with filters having a small diameter about 55 mm .