← #30570931
Subgroups — #30570931
Order 15616.
1598 conjugacy classes of subgroups.
The subgroup lattice has 942 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21460309 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #21459629 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21458785 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21458769 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21458754 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21458752 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21458662 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21458658 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #21458623 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #21458554 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #21457113 | C2 | 1 | 2 | yes | maximal |
| 12 | #21457091 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #21457055 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #21457035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #21456113 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #21456041 | C2 | 1 | 2 | yes | maximal |
| 17 | #21455949 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #21454924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C61×#3117 | C2 | 1 | 1 | yes | maximal, characteristic |
| 20 | #16840515 | — | 2 | 2 | no | — |
| 21 | Q8×Dic122 | — | 2 | 1 | no | — |
| 22 | Q8×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 23 | Q8×Dic122 | C22 | 1 | 2 | yes | — |
| 24 | #16840491 | — | 2 | 1 | no | — |
| 25 | #16840491 | C22 | 1 | 2 | yes | — |
| 26 | #16840490 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16840489 | C22 | 1 | 2 | yes | — |
| 28 | #16840488 | — | 2 | 2 | no | — |
| 29 | #16840488 | C22 | 1 | 2 | yes | — |
| 30 | #16840488 | C22 | 1 | 2 | yes | — |
| 31 | #16840482 | — | 2 | 1 | no | — |
| 32 | #16840482 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16840481 | C22 | 1 | 2 | yes | — |
| 34 | #16840469 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16840452 | — | 2 | 1 | no | — |
| 36 | #16840393 | — | 2 | 1 | no | — |
| 37 | #16840393 | — | 2 | 1 | no | — |
| 38 | #16840393 | C22 | 1 | 2 | yes | — |
| 39 | #16840390 | — | 2 | 1 | no | — |
| 40 | #16840379 | C22 | 1 | 2 | yes | — |
| 41 | #16840374 | — | 2 | 1 | no | — |
| 42 | #16840372 | C22 | 1 | 2 | yes | — |
| 43 | #16840369 | — | 2 | 2 | no | — |
| 44 | #16840319 | — | 2 | 2 | no | — |
| 45 | #16840319 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16840319 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16840319 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16840240 | C22 | 1 | 2 | yes | — |
| 49 | #16840172 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16840172 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16840171 | C22 | 1 | 2 | yes | — |
| 52 | #16840170 | C22 | 1 | 2 | yes | — |
| 53 | #16840169 | C22 | 1 | 2 | yes | — |
| 54 | #16840163 | C22 | 1 | 2 | yes | — |
| 55 | #16840159 | C22 | 1 | 2 | yes | — |
| 56 | #16840131 | C22 | 1 | 2 | yes | — |
| 57 | #16840129 | C22 | 1 | 2 | yes | — |
| 58 | #16840121 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16840121 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16840120 | C22 | 1 | 2 | yes | — |
| 61 | #16840115 | C22 | 1 | 2 | yes | — |
| 62 | #16840111 | C22 | 1 | 2 | yes | — |
| 63 | #16840104 | C22 | 1 | 2 | yes | — |
| 64 | #16840104 | C22 | 1 | 2 | yes | — |
| 65 | #16840100 | C22 | 1 | 2 | yes | — |
| 66 | #16840092 | C22 | 1 | 2 | yes | — |
| 67 | #16840083 | C22 | 1 | 2 | yes | — |
| 68 | #16840072 | C22 | 1 | 2 | yes | — |
| 69 | #16840071 | C22 | 1 | 2 | yes | — |
| 70 | #16840071 | C22 | 1 | 2 | yes | — |
| 71 | #16840069 | C22 | 1 | 2 | yes | — |
| 72 | #16840068 | C22 | 1 | 2 | yes | — |
| 73 | #16840067 | C22 | 1 | 2 | yes | — |
| 74 | #16840062 | C22 | 1 | 2 | yes | — |
| 75 | #16840060 | C22 | 1 | 2 | yes | — |
| 76 | #16840058 | C22 | 1 | 2 | yes | — |
| 77 | #16840056 | C22 | 1 | 2 | yes | — |
| 78 | #16840055 | C22 | 1 | 2 | yes | — |
| 79 | #16840050 | C22 | 1 | 2 | yes | — |
| 80 | #16840048 | C22 | 1 | 2 | yes | — |
| 81 | #16840047 | C22 | 1 | 2 | yes | — |
| 82 | #16840046 | C22 | 1 | 2 | yes | — |
| 83 | #16840045 | C22 | 1 | 2 | yes | — |
| 84 | #16840045 | C22 | 1 | 2 | yes | — |
| 85 | #16839982 | C22 | 1 | 2 | yes | — |
| 86 | #16839982 | C22 | 1 | 2 | yes | — |
| 87 | #16839972 | C22 | 1 | 2 | yes | — |
| 88 | #16839970 | C22 | 1 | 2 | yes | — |
| 89 | #16839970 | C22 | 1 | 2 | yes | — |
| 90 | #16839918 | C22 | 1 | 2 | yes | — |
| 91 | #16839891 | C22 | 1 | 2 | yes | — |
| 92 | #16839891 | C22 | 1 | 2 | yes | — |
| 93 | #16839890 | C22 | 1 | 2 | yes | — |
| 94 | #16839890 | C22 | 1 | 2 | yes | — |
| 95 | #16839869 | C22 | 1 | 2 | yes | — |
| 96 | #16839867 | C22 | 1 | 2 | yes | — |
| 97 | #16839867 | C22 | 1 | 2 | yes | — |
| 98 | #16839866 | C22 | 1 | 2 | yes | — |
| 99 | #16839866 | C22 | 1 | 2 | yes | — |
| 100 | #16839863 | C22 | 1 | 2 | yes | — |
| 101 | Q16×Dic61 | C22 | 1 | 2 | yes | — |
| 102 | #16839854 | C22 | 1 | 2 | yes | — |
| 103 | #16839854 | C22 | 1 | 2 | yes | — |
| 104 | SD16×Dic61 | C22 | 1 | 2 | yes | — |
| 105 | #16839820 | C22 | 1 | 2 | yes | — |
| 106 | #16839820 | C22 | 1 | 2 | yes | — |
| 107 | #16839819 | C22 | 1 | 1 | yes | characteristic |
| 108 | C61×#529 | C22 | 1 | 1 | yes | characteristic |
| 109 | C2×C4×Q8×C61 | C22 | 1 | 1 | yes | characteristic |
| 110 | C61×#484 | C22 | 1 | 1 | yes | characteristic |
| 111 | C61×#481 | C22 | 1 | 1 | yes | characteristic |
| 112 | C61×#479 | C22 | 1 | 2 | yes | — |
| 113 | C61×#464 | C22 | 1 | 2 | yes | — |
| 114 | C61×#451 | C22 | 1 | 1 | yes | characteristic |
| 115 | C61×#448 | C22 | 1 | 1 | yes | characteristic |
| 116 | C61×#441 | C22 | 1 | 2 | yes | — |
| 117 | C61×#440 | C22 | 1 | 2 | yes | — |
| 118 | C61×#432 | C22 | 1 | 1 | yes | characteristic |
| 119 | C2×#11758202 | C23 | 1 | 2 | yes | — |
| 120 | C2×#11758202 | C23 | 1 | 2 | yes | — |
| 121 | #14519777 | — | 2 | 2 | no | — |
| 122 | #14519777 | — | 2 | 1 | no | — |
| 123 | #14519777 | — | 2 | 2 | no | — |
| 124 | #14519777 | D4 | 1 | 1 | yes | characteristic |
| 125 | #14519777 | D4 | 1 | 1 | yes | characteristic |
| 126 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 127 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 128 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 129 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 130 | #14519776 | — | 2 | 2 | no | — |
| 131 | #14519776 | — | 2 | 2 | no | — |
| 132 | #14519776 | — | 2 | 2 | no | — |
| 133 | #14519776 | — | 2 | 2 | no | — |
| 134 | #14519776 | — | 2 | 2 | no | — |
| 135 | #14519776 | — | 2 | 2 | no | — |
| 136 | #14519776 | — | 2 | 2 | no | — |
| 137 | #14519776 | C23 | 1 | 2 | yes | — |
| 138 | #14519776 | C23 | 1 | 2 | yes | — |
| 139 | #14519776 | C23 | 1 | 2 | yes | — |
| 140 | #14519775 | C23 | 1 | 2 | yes | — |
| 141 | #14519770 | — | 2 | 2 | no | — |
| 142 | #14519770 | — | 2 | 2 | no | — |
| 143 | #14519770 | — | 2 | 2 | no | — |
| 144 | #14519770 | — | 2 | 2 | no | — |
| 145 | #14519770 | — | 2 | 2 | no | — |
| 146 | #14519770 | — | 2 | 2 | no | — |
| 147 | #14519769 | — | 2 | 1 | no | — |
| 148 | #14519769 | — | 2 | 1 | no | — |
| 149 | #14519769 | — | 2 | 2 | no | — |
| 150 | #14519769 | — | 2 | 2 | no | — |
| 151 | #14519769 | D4 | 1 | 2 | yes | — |
| 152 | #14519769 | C23 | 1 | 2 | yes | — |
| 153 | #14519768 | — | 2 | 2 | no | — |
| 154 | #14519768 | — | 2 | 2 | no | — |
| 155 | #14519768 | — | 2 | 2 | no | — |
| 156 | #14519768 | — | 2 | 2 | no | — |
| 157 | #14519768 | — | 2 | 2 | no | — |
| 158 | #14519768 | — | 2 | 2 | no | — |
| 159 | #14519768 | C23 | 1 | 2 | yes | — |
| 160 | #14519768 | C23 | 1 | 2 | yes | — |
| 161 | #14519768 | C23 | 1 | 2 | yes | — |
| 162 | #14519767 | — | 2 | 2 | no | — |
| 163 | #14519767 | — | 2 | 2 | no | — |
| 164 | #14519767 | — | 2 | 2 | no | — |
| 165 | #14519767 | — | 2 | 2 | no | — |
| 166 | #14519764 | — | 2 | 2 | no | — |
| 167 | #14519764 | C23 | 1 | 2 | yes | — |
| 168 | #14519758 | — | 2 | 2 | no | — |
| 169 | #14519756 | — | 2 | 1 | no | — |
| 170 | #14519756 | — | 2 | 1 | no | — |
| 171 | #14519756 | — | 2 | 1 | no | — |
| 172 | #14519756 | — | 2 | 1 | no | — |
| 173 | #14519756 | — | 2 | 1 | no | — |
| 174 | #14519756 | — | 2 | 2 | no | — |
| 175 | #14519756 | — | 2 | 2 | no | — |
| 176 | #14519756 | D4 | 1 | 1 | yes | characteristic |
| 177 | #14519756 | D4 | 1 | 1 | yes | characteristic |
| 178 | #14519756 | D4 | 1 | 2 | yes | — |
| 179 | #14519756 | C23 | 1 | 2 | yes | — |
| 180 | #14519754 | — | 2 | 2 | no | — |
| 181 | #14519754 | — | 2 | 2 | no | — |
| 182 | #14519754 | — | 2 | 2 | no | — |
| 183 | Q8×Dic61 | — | 2 | 2 | no | — |
| 184 | Q8×Dic61 | — | 2 | 2 | no | — |
| 185 | Q8×Dic61 | C23 | 1 | 2 | yes | — |
| 186 | Q8×Dic61 | C23 | 1 | 2 | yes | — |
| 187 | Q8×Dic61 | C23 | 1 | 2 | yes | — |
| 188 | Q8×Dic61 | C23 | 1 | 2 | yes | — |
| 189 | Q8×Dic61 | C23 | 1 | 2 | yes | — |
| 190 | C4×Dic122 | — | 2 | 1 | no | — |
| 191 | C4×Dic122 | — | 2 | 1 | no | — |
| 192 | C4×Dic122 | — | 2 | 2 | no | — |
| 193 | C4×Dic122 | — | 2 | 1 | no | — |
| 194 | C4×Dic122 | — | 2 | 1 | no | — |
| 195 | C4×Dic122 | — | 2 | 1 | no | — |
| 196 | C4×Dic122 | — | 2 | 2 | no | — |
| 197 | C4×Dic122 | — | 2 | 2 | no | — |
| 198 | C4×Dic122 | — | 2 | 2 | no | — |
| 199 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 200 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 201 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 202 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 203 | #14519742 | — | 2 | 2 | no | — |
| 204 | #14519742 | C23 | 1 | 2 | yes | — |
| 205 | #14519742 | C23 | 1 | 2 | yes | — |
| 206 | D4×Dic61 | C23 | 1 | 2 | yes | — |
| 207 | #14519736 | — | 2 | 1 | no | — |
| 208 | #14519736 | — | 2 | 2 | no | — |
| 209 | #14519736 | — | 2 | 2 | no | — |
| 210 | #14519736 | — | 2 | 1 | no | — |
| 211 | #14519736 | C23 | 1 | 2 | yes | — |
| 212 | #14519736 | C23 | 1 | 2 | yes | — |
| 213 | #14519733 | — | 2 | 2 | no | — |
| 214 | C2×C4⋊Dic61 | — | 2 | 1 | no | — |
| 215 | #14519711 | C23 | 1 | 2 | yes | — |
| 216 | #14519711 | C23 | 1 | 2 | yes | — |
| 217 | #14519710 | C23 | 1 | 2 | yes | — |
| 218 | #14519710 | C23 | 1 | 2 | yes | — |
| 219 | #14519709 | C23 | 1 | 2 | yes | — |
| 220 | #14519709 | C23 | 1 | 2 | yes | — |
| 221 | #14519708 | C23 | 1 | 2 | yes | — |
| 222 | #14519708 | C23 | 1 | 2 | yes | — |
| 223 | #14519708 | C23 | 1 | 2 | yes | — |
| 224 | #14519708 | C23 | 1 | 2 | yes | — |
| 225 | C4⋊#92418 | C23 | 1 | 2 | yes | — |
| 226 | #14519706 | C23 | 1 | 2 | yes | — |
| 227 | #14519706 | C23 | 1 | 2 | yes | — |
| 228 | #14519706 | C23 | 1 | 2 | yes | — |
| 229 | #14519706 | C23 | 1 | 2 | yes | — |
| 230 | #14519702 | C23 | 1 | 2 | yes | — |
| 231 | #14519702 | C23 | 1 | 2 | yes | — |
| 232 | #14519702 | C23 | 1 | 2 | yes | — |
| 233 | #14519702 | C23 | 1 | 2 | yes | — |
| 234 | #14519701 | C23 | 1 | 2 | yes | — |
| 235 | #14519701 | C23 | 1 | 2 | yes | — |
| 236 | #14519701 | C23 | 1 | 2 | yes | — |
| 237 | #14519701 | C23 | 1 | 2 | yes | — |
| 238 | #14519700 | C23 | 1 | 2 | yes | — |
| 239 | #14519700 | C23 | 1 | 2 | yes | — |
| 240 | #14519698 | C23 | 1 | 2 | yes | — |
| 241 | #14519698 | C23 | 1 | 2 | yes | — |
| 242 | C22⋊#92418 | C23 | 1 | 2 | yes | — |
| 243 | #14519688 | C23 | 1 | 1 | yes | characteristic |
| 244 | #14519688 | C23 | 1 | 1 | yes | characteristic |
| 245 | #14519687 | C23 | 1 | 2 | yes | — |
| 246 | #14519687 | C23 | 1 | 2 | yes | — |
| 247 | C8×Dic61 | C23 | 1 | 2 | yes | — |
| 248 | C8×Dic61 | C23 | 1 | 2 | yes | — |
| 249 | C22×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 250 | C2×Q16×C61 | C23 | 1 | 2 | yes | — |
| 251 | C2×SD16×C61 | C23 | 1 | 2 | yes | — |
| 252 | #126×C61 | — | 2 | 1 | no | — |
| 253 | #125×C61 | C23 | 1 | 1 | yes | characteristic |
| 254 | #124×C61 | C23 | 1 | 1 | yes | characteristic |
| 255 | #123×C61 | — | 2 | 1 | no | — |
| 256 | C22⋊Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 257 | #121×C61 | C23 | 1 | 1 | yes | characteristic |
| 258 | C4×Q8×C61 | — | 2 | 1 | no | — |
| 259 | C4×Q8×C61 | — | 2 | 1 | no | — |
| 260 | C4×Q8×C61 | C23 | 1 | 2 | yes | — |
| 261 | C4×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 262 | C4×Q8×C61 | C23 | 1 | 2 | yes | — |
| 263 | C4×D4×C61 | — | 2 | 1 | no | — |
| 264 | C4×D4×C61 | C23 | 1 | 1 | yes | characteristic |
| 265 | #117×C61 | — | 2 | 1 | no | — |
| 266 | C2×C4⋊C4×C61 | — | 2 | 1 | no | — |
| 267 | C2×C4⋊C4×C61 | C23 | 1 | 1 | yes | characteristic |
| 268 | C2×C42×C61 | — | 2 | 1 | no | — |
| 269 | C2×C42×C61 | C23 | 1 | 1 | yes | characteristic |
| 270 | #107×C61 | C23 | 1 | 2 | yes | — |
| 271 | #106×C61 | C23 | 1 | 2 | yes | — |
| 272 | C4⋊C8×C61 | C23 | 1 | 2 | yes | — |
| 273 | #103×C61 | C23 | 1 | 2 | yes | — |
| 274 | #103×C61 | C23 | 1 | 2 | yes | — |
| 275 | #103×C61 | C23 | 1 | 2 | yes | — |
| 276 | #102×C61 | C23 | 1 | 2 | yes | — |
| 277 | C22⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 278 | C22⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 279 | #97×C61 | C23 | 1 | 2 | yes | — |
| 280 | C2×Q8×C61 | — | 2 | 4 | no | — |
| 281 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 282 | C2×Q8×C61 | C24 | 1 | 1 | yes | characteristic |
| 283 | C2×Q8×C61 | C24 | 1 | 2 | yes | — |
| 284 | C2×D4×C61 | — | 2 | 1 | no | — |
| 285 | C2×D4×C61 | C24 | 1 | 1 | yes | characteristic |
| 286 | C22×C4×C61 | — | 2 | 1 | no | — |
| 287 | C22×C4×C61 | — | 2 | 1 | no | — |
| 288 | C22×C4×C61 | — | 2 | 1 | no | — |
| 289 | C22×C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 290 | C22×C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 292 | C22×Dic61 | — | 2 | 2 | no | — |
| 293 | C2×Dic122 | — | 2 | 1 | no | — |
| 294 | C2×Dic122 | — | 2 | 1 | no | — |
| 295 | C2×Dic122 | — | 2 | 1 | no | — |
| 296 | C2×Dic122 | — | 2 | 2 | no | — |
| 297 | C2×Dic122 | — | 2 | 2 | no | — |
| 298 | C2×Dic122 | — | 2 | 2 | no | — |
| 299 | C2×Dic122 | C2×D4 | 1 | 2 | yes | — |
| 300 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C2×Dic122 | C24 | 1 | 2 | yes | — |
| 303 | Q16×C61 | — | 2 | 4 | no | — |
| 304 | SD16×C61 | — | 2 | 4 | no | — |
| 305 | C2×C8×C61 | C24 | 1 | 2 | yes | — |
| 306 | C2×C8×C61 | C24 | 1 | 2 | yes | — |
| 307 | C4⋊C4×C61 | — | 2 | 2 | no | — |
| 308 | C4⋊C4×C61 | — | 2 | 2 | no | — |
| 309 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 310 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 311 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 312 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 313 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 314 | C4⋊C4×C61 | C24 | 1 | 2 | yes | — |
| 315 | C4⋊C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 316 | C4⋊C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 317 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 318 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 319 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 320 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 321 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 322 | C42×C61 | — | 2 | 2 | no | — |
| 323 | C42×C61 | — | 2 | 2 | no | — |
| 324 | C42×C61 | — | 2 | 1 | no | — |
| 325 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 327 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 328 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 329 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 330 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 331 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 332 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 333 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 334 | C22⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 335 | C22⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 336 | #11758202 | — | 2 | 4 | no | — |
| 337 | #11758202 | — | 2 | 4 | no | — |
| 338 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 339 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 340 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 341 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 342 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 343 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 344 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 345 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 346 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 347 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 348 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 349 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 350 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 351 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 352 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C4⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 354 | C4⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 355 | C4⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 356 | C4⋊Dic61 | C24 | 1 | 2 | yes | — |
| 357 | C4⋊Dic61 | C24 | 1 | 2 | yes | — |
| 358 | C4⋊Dic61 | C24 | 1 | 2 | yes | — |
| 359 | #11758196 | — | 2 | 2 | no | — |
| 360 | #11758196 | — | 2 | 2 | no | — |
| 361 | #11758196 | — | 2 | 2 | no | — |
| 362 | #11758196 | — | 2 | 2 | no | — |
| 363 | #11758196 | — | 2 | 2 | no | — |
| 364 | #11758196 | — | 2 | 2 | no | — |
| 365 | #11758196 | — | 2 | 2 | no | — |
| 366 | #11758196 | — | 2 | 2 | no | — |
| 367 | #11758196 | — | 2 | 2 | no | — |
| 368 | #11758196 | — | 2 | 2 | no | — |
| 369 | #11758196 | — | 2 | 2 | no | — |
| 370 | #11758196 | — | 2 | 2 | no | — |
| 371 | #11758196 | — | 2 | 2 | no | — |
| 372 | #11758196 | — | 2 | 2 | no | — |
| 373 | #11758196 | C2×D4 | 1 | 2 | yes | — |
| 374 | #11758196 | C2×D4 | 1 | 2 | yes | — |
| 375 | #11758196 | C2×D4 | 1 | 2 | yes | — |
| 376 | #11758196 | C2×D4 | 1 | 2 | yes | — |
| 377 | C4×Dic61 | — | 2 | 2 | no | — |
| 378 | C4×Dic61 | — | 2 | 2 | no | — |
| 379 | C4×Dic61 | — | 2 | 2 | no | — |
| 380 | C4×Dic61 | — | 2 | 2 | no | — |
| 381 | C4×Dic61 | — | 2 | 2 | no | — |
| 382 | C4×Dic61 | — | 2 | 2 | no | — |
| 383 | C4×Dic61 | — | 2 | 2 | no | — |
| 384 | C4×Dic61 | — | 2 | 2 | no | — |
| 385 | C4×Dic61 | — | 2 | 2 | no | — |
| 386 | C4×Dic61 | C24 | 1 | 2 | yes | — |
| 387 | C4×Dic61 | C24 | 1 | 2 | yes | — |
| 388 | C2×#92418 | C24 | 1 | 2 | yes | — |
| 389 | C2×#92418 | C24 | 1 | 2 | yes | — |
| 390 | C23×C61 | — | 2 | 1 | no | — |
| 391 | C23×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 392 | Q8×C61 | — | 2 | 4 | no | — |
| 393 | Q8×C61 | — | 2 | 2 | no | — |
| 394 | Q8×C61 | — | 2 | 2 | no | — |
| 395 | Q8×C61 | 2−1+4 | 1 | 4 | yes | — |
| 396 | D4×C61 | — | 2 | 2 | no | — |
| 397 | D4×C61 | — | 8 | 1 | no | — |
| 398 | C2×C4×C61 | — | 2 | 4 | no | — |
| 399 | C2×C4×C61 | — | 2 | 2 | no | — |
| 400 | C2×C4×C61 | — | 2 | 2 | no | — |
| 401 | C2×C4×C61 | — | 2 | 1 | no | — |
| 402 | C2×C4×C61 | — | 2 | 1 | no | — |
| 403 | C2×C4×C61 | — | 2 | 1 | no | — |
| 404 | C2×C4×C61 | — | 2 | 2 | no | — |
| 405 | C2×C4×C61 | — | 4 | 1 | no | — |
| 406 | C2×C4×C61 | — | 4 | 1 | no | — |
| 407 | C2×C4×C61 | — | 4 | 2 | no | — |
| 408 | C2×C4×C61 | — | 8 | 1 | no | — |
| 409 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 412 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 413 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 414 | C2×C4×C61 | C25 | 1 | 1 | yes | characteristic |
| 415 | C2×Dic61 | — | 2 | 2 | no | — |
| 416 | C2×Dic61 | — | 2 | 2 | no | — |
| 417 | C2×Dic61 | — | 2 | 2 | no | — |
| 418 | C2×Dic61 | — | 2 | 2 | no | — |
| 419 | C2×Dic61 | — | 8 | 2 | no | — |
| 420 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 421 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 422 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 423 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 424 | Dic122 | — | 2 | 2 | no | — |
| 425 | Dic122 | — | 2 | 2 | no | — |
| 426 | Dic122 | — | 4 | 1 | no | — |
| 427 | Dic122 | — | 4 | 1 | no | — |
| 428 | Dic122 | — | 4 | 2 | no | — |
| 429 | Dic122 | — | 4 | 2 | no | — |
| 430 | Dic122 | — | 8 | 2 | no | — |
| 431 | Dic122 | — | 8 | 2 | no | — |
| 432 | Dic122 | — | 8 | 2 | no | — |
| 433 | Dic122 | — | 8 | 1 | no | — |
| 434 | Dic122 | — | 8 | 1 | no | — |
| 435 | C8×C61 | — | 2 | 2 | no | — |
| 436 | C8×C61 | — | 2 | 2 | no | — |
| 437 | #92418 | — | 2 | 2 | no | — |
| 438 | #92418 | — | 2 | 2 | no | — |
| 439 | #61875 | — | 61 | 1 | no | maximal, Sylow |
| 440 | C22×C61 | — | 2 | 1 | no | — |
| 441 | C22×C61 | — | 2 | 1 | no | — |
| 442 | C22×C61 | — | 2 | 1 | no | — |
| 443 | C22×C61 | — | 4 | 1 | no | — |
| 444 | C22×C61 | — | 4 | 1 | no | — |
| 445 | C22×C61 | — | 4 | 1 | no | — |
| 446 | C22×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 447 | C4×C61 | — | 2 | 1 | no | — |
| 448 | C4×C61 | — | 2 | 1 | no | — |
| 449 | C4×C61 | — | 2 | 1 | no | — |
| 450 | C4×C61 | — | 2 | 1 | no | — |
| 451 | C4×C61 | — | 2 | 4 | no | — |
| 452 | C4×C61 | — | 2 | 1 | no | — |
| 453 | C4×C61 | — | 4 | 2 | no | — |
| 454 | C4×C61 | — | 4 | 1 | no | — |
| 455 | C4×C61 | — | 4 | 1 | no | — |
| 456 | C4×C61 | — | 4 | 1 | no | — |
| 457 | C4×C61 | C2×2−1+4 | 1 | 2 | yes | — |
| 458 | Dic61 | — | 2 | 2 | no | — |
| 459 | Dic61 | — | 2 | 2 | no | — |
| 460 | Dic61 | — | 2 | 2 | no | — |
| 461 | Dic61 | — | 2 | 2 | no | — |
| 462 | Dic61 | — | 4 | 2 | no | — |
| 463 | Dic61 | — | 4 | 2 | no | — |
| 464 | Dic61 | — | 4 | 2 | no | — |
| 465 | Dic61 | — | 4 | 2 | no | — |
| 466 | #3555 | — | 61 | 1 | no | — |
| 467 | #3502 | — | 61 | 1 | no | — |
| 468 | #3390 | — | 61 | 2 | no | — |
| 469 | #3388 | — | 61 | 2 | no | — |
| 470 | #3387 | — | 61 | 2 | no | — |
| 471 | #3387 | — | 61 | 2 | no | — |
| 472 | #3377 | — | 61 | 2 | no | — |
| 473 | #3377 | — | 61 | 2 | no | — |
| 474 | #3374 | — | 61 | 2 | no | — |
| 475 | #3369 | — | 61 | 2 | no | — |
| 476 | #3244 | — | 61 | 2 | no | — |
| 477 | #3242 | — | 61 | 2 | no | — |
| 478 | #3240 | — | 61 | 1 | no | — |
| 479 | #3237 | — | 61 | 1 | no | — |
| 480 | #3127 | — | 61 | 2 | no | — |
| 481 | #3121 | — | 61 | 2 | no | — |
| 482 | #3117 | D61 | 1 | 1 | yes | characteristic |
| 483 | #3113 | — | 61 | 1 | no | — |
| 484 | #2987 | — | 61 | 1 | no | — |
| 485 | C2×C61 | — | 4 | 1 | no | — |
| 486 | C2×C61 | — | 8 | 1 | no | — |
| 487 | C2×C61 | #3486 | 1 | 1 | yes | characteristic |
| 488 | C2×C61 | #3586 | 1 | 1 | yes | characteristic |
| 489 | C2×C61 | #3586 | 1 | 1 | yes | characteristic |
| 490 | #563 | — | 122 | 2 | no | — |
| 491 | Q82 | — | 61 | 2 | no | — |
| 492 | Q82 | — | 61 | 1 | no | — |
| 493 | Q82 | — | 122 | 1 | no | — |
| 494 | #557 | — | 61 | 2 | no | — |
| 495 | #557 | — | 61 | 2 | no | — |
| 496 | #557 | — | 61 | 2 | no | — |
| 497 | #557 | — | 61 | 2 | no | — |
| 498 | #557 | — | 61 | 1 | no | — |
| 499 | #557 | — | 122 | 2 | no | — |
| 500 | #557 | — | 122 | 1 | no | — |
| 501 | #556 | — | 61 | 2 | no | — |
| 502 | #556 | — | 61 | 1 | no | — |
| 503 | #556 | — | 122 | 1 | no | — |
| 504 | #554 | — | 61 | 1 | no | — |
| 505 | #552 | — | 122 | 1 | no | — |
| 506 | #544 | — | 61 | 2 | no | — |
| 507 | #544 | — | 122 | 1 | no | — |
| 508 | #544 | — | 122 | 1 | no | — |
| 509 | #544 | — | 122 | 1 | no | — |
| 510 | #542 | — | 61 | 2 | no | — |
| 511 | #541 | — | 61 | 2 | no | — |
| 512 | #541 | — | 122 | 1 | no | — |
| 513 | #541 | — | 122 | 2 | no | — |
| 514 | #533 | — | 61 | 1 | no | — |
| 515 | #533 | — | 61 | 1 | no | — |
| 516 | #533 | — | 61 | 1 | no | — |
| 517 | #533 | — | 122 | 2 | no | — |
| 518 | #529 | C2×D61 | 1 | 1 | yes | characteristic |
| 519 | #519 | — | 61 | 2 | no | — |
| 520 | C2×C4×Q8 | C2×D61 | 1 | 1 | yes | characteristic |
| 521 | #501 | — | 61 | 1 | no | — |
| 522 | #501 | — | 61 | 1 | no | — |
| 523 | #501 | — | 61 | 2 | no | — |
| 524 | #501 | — | 61 | 2 | no | — |
| 525 | #501 | — | 61 | 2 | no | — |
| 526 | #499 | — | 61 | 2 | no | — |
| 527 | #498 | — | 61 | 2 | no | — |
| 528 | #491 | — | 61 | 2 | no | — |
| 529 | #491 | — | 61 | 2 | no | — |
| 530 | #489 | — | 61 | 1 | no | — |
| 531 | #489 | — | 61 | 1 | no | — |
| 532 | #489 | — | 61 | 2 | no | — |
| 533 | #488 | — | 61 | 2 | no | — |
| 534 | #487 | — | 61 | 2 | no | — |
| 535 | #485 | — | 61 | 2 | no | — |
| 536 | #485 | — | 61 | 2 | no | — |
| 537 | #485 | — | 61 | 2 | no | — |
| 538 | #484 | C2×D61 | 1 | 1 | yes | characteristic |
| 539 | #483 | — | 61 | 2 | no | — |
| 540 | #482 | — | 61 | 2 | no | — |
| 541 | #481 | C2×D61 | 1 | 1 | yes | characteristic |
| 542 | #479 | — | 61 | 2 | no | — |
| 543 | #479 | — | 61 | 2 | no | — |
| 544 | #479 | — | 61 | 2 | no | — |
| 545 | #479 | — | 61 | 2 | no | — |
| 546 | #479 | — | 61 | 2 | no | — |
| 547 | #479 | — | 61 | 2 | no | — |
| 548 | #479 | C2×D61 | 1 | 2 | yes | — |
| 549 | #478 | — | 61 | 2 | no | — |
| 550 | #478 | — | 61 | 2 | no | — |
| 551 | #477 | — | 61 | 2 | no | — |
| 552 | #477 | — | 61 | 2 | no | — |
| 553 | #477 | — | 61 | 2 | no | — |
| 554 | #476 | — | 61 | 2 | no | — |
| 555 | #475 | — | 61 | 2 | no | — |
| 556 | #475 | — | 61 | 2 | no | — |
| 557 | #475 | — | 61 | 2 | no | — |
| 558 | #475 | — | 61 | 2 | no | — |
| 559 | #475 | — | 61 | 2 | no | — |
| 560 | #464 | — | 61 | 2 | no | — |
| 561 | #464 | — | 61 | 2 | no | — |
| 562 | #464 | C2×D61 | 1 | 2 | yes | — |
| 563 | #462 | — | 61 | 2 | no | — |
| 564 | #462 | — | 61 | 2 | no | — |
| 565 | #462 | — | 61 | 2 | no | — |
| 566 | #451 | — | 61 | 2 | no | — |
| 567 | #451 | C2×D61 | 1 | 1 | yes | characteristic |
| 568 | #448 | C2×D61 | 1 | 1 | yes | characteristic |
| 569 | #446 | — | 61 | 2 | no | — |
| 570 | #446 | — | 61 | 2 | no | — |
| 571 | #446 | — | 61 | 2 | no | — |
| 572 | #446 | — | 61 | 2 | no | — |
| 573 | #441 | — | 61 | 2 | no | — |
| 574 | #441 | — | 61 | 2 | no | — |
| 575 | #441 | — | 61 | 2 | no | — |
| 576 | #441 | — | 61 | 2 | no | — |
| 577 | #441 | — | 61 | 2 | no | — |
| 578 | #441 | C2×D61 | 1 | 2 | yes | — |
| 579 | #440 | — | 61 | 2 | no | — |
| 580 | #440 | C2×D61 | 1 | 2 | yes | — |
| 581 | C4×Q16 | — | 61 | 2 | no | — |
| 582 | C4×Q16 | — | 61 | 2 | no | — |
| 583 | C4×Q16 | — | 61 | 2 | no | — |
| 584 | C4×SD16 | — | 61 | 2 | no | — |
| 585 | #433 | — | 61 | 2 | no | — |
| 586 | #433 | — | 61 | 2 | no | — |
| 587 | #432 | — | 61 | 1 | no | — |
| 588 | #432 | C2×D61 | 1 | 1 | yes | characteristic |
| 589 | C61 | #61875 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 590 | C22×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 591 | C2×Q16 | — | 61 | 2 | no | — |
| 592 | C2×Q16 | — | 61 | 2 | no | — |
| 593 | C2×Q16 | C22×D61 | 1 | 2 | yes | — |
| 594 | C2×SD16 | C22×D61 | 1 | 2 | yes | — |
| 595 | C4⋊Q8 | — | 61 | 2 | no | — |
| 596 | C4⋊Q8 | — | 61 | 2 | no | — |
| 597 | C4⋊Q8 | — | 61 | 2 | no | — |
| 598 | C4⋊Q8 | — | 61 | 2 | no | — |
| 599 | C4⋊Q8 | — | 61 | 1 | no | — |
| 600 | C4⋊Q8 | — | 61 | 1 | no | — |
| 601 | C4⋊Q8 | — | 61 | 1 | no | — |
| 602 | C4⋊Q8 | — | 61 | 1 | no | — |
| 603 | C4⋊Q8 | — | 61 | 1 | no | — |
| 604 | C4⋊Q8 | — | 61 | 1 | no | — |
| 605 | C4⋊Q8 | — | 122 | 2 | no | — |
| 606 | C4⋊Q8 | — | 122 | 1 | no | — |
| 607 | C4⋊Q8 | — | 122 | 2 | no | — |
| 608 | C4⋊Q8 | — | 122 | 2 | no | — |
| 609 | C4⋊Q8 | — | 122 | 2 | no | — |
| 610 | C4⋊Q8 | — | 122 | 2 | no | — |
| 611 | C4⋊Q8 | — | 122 | 2 | no | — |
| 612 | C4⋊Q8 | — | 122 | 2 | no | — |
| 613 | C4⋊Q8 | — | 122 | 2 | no | — |
| 614 | C4⋊Q8 | — | 122 | 2 | no | — |
| 615 | #126 | — | 2 | 1 | no | — |
| 616 | #126 | — | 122 | 2 | no | — |
| 617 | #126 | — | 122 | 2 | no | — |
| 618 | #126 | — | 122 | 2 | no | — |
| 619 | #126 | — | 122 | 2 | no | — |
| 620 | #126 | — | 122 | 2 | no | — |
| 621 | #126 | — | 122 | 2 | no | — |
| 622 | #125 | — | 61 | 2 | no | — |
| 623 | #125 | — | 61 | 2 | no | — |
| 624 | #125 | — | 61 | 2 | no | — |
| 625 | #125 | — | 61 | 2 | no | — |
| 626 | #125 | — | 61 | 2 | no | — |
| 627 | #125 | — | 122 | 2 | no | — |
| 628 | #125 | — | 122 | 2 | no | — |
| 629 | #125 | — | 122 | 1 | no | — |
| 630 | #125 | — | 122 | 2 | no | — |
| 631 | #125 | — | 122 | 2 | no | — |
| 632 | #125 | — | 122 | 2 | no | — |
| 633 | #125 | — | 122 | 2 | no | — |
| 634 | #125 | — | 122 | 2 | no | — |
| 635 | #125 | — | 122 | 2 | no | — |
| 636 | #125 | — | 122 | 2 | no | — |
| 637 | #125 | — | 122 | 2 | no | — |
| 638 | #125 | — | 122 | 2 | no | — |
| 639 | #125 | — | 122 | 2 | no | — |
| 640 | #125 | — | 122 | 1 | no | — |
| 641 | #125 | C22×D61 | 1 | 1 | yes | characteristic |
| 642 | #124 | — | 61 | 2 | no | — |
| 643 | #124 | — | 122 | 2 | no | — |
| 644 | #124 | C22×D61 | 1 | 1 | yes | characteristic |
| 645 | #123 | — | 2 | 1 | no | — |
| 646 | #123 | — | 122 | 2 | no | — |
| 647 | C22⋊Q8 | — | 61 | 2 | no | — |
| 648 | C22⋊Q8 | — | 61 | 1 | no | — |
| 649 | C22⋊Q8 | — | 61 | 1 | no | — |
| 650 | C22⋊Q8 | — | 61 | 2 | no | — |
| 651 | C22⋊Q8 | — | 122 | 2 | no | — |
| 652 | C22⋊Q8 | — | 122 | 2 | no | — |
| 653 | C22⋊Q8 | — | 122 | 2 | no | — |
| 654 | C22⋊Q8 | — | 122 | 2 | no | — |
| 655 | C22⋊Q8 | — | 122 | 2 | no | — |
| 656 | C22⋊Q8 | — | 122 | 1 | no | — |
| 657 | C22⋊Q8 | — | 122 | 1 | no | — |
| 658 | C22⋊Q8 | — | 122 | 1 | no | — |
| 659 | C22⋊Q8 | — | 122 | 1 | no | — |
| 660 | C22⋊Q8 | — | 122 | 1 | no | — |
| 661 | C22⋊Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 662 | #121 | C22×D61 | 1 | 1 | yes | characteristic |
| 663 | C4×Q8 | — | 2 | 1 | no | — |
| 664 | C4×Q8 | — | 2 | 1 | no | — |
| 665 | C4×Q8 | — | 61 | 1 | no | — |
| 666 | C4×Q8 | — | 61 | 2 | no | — |
| 667 | C4×Q8 | — | 61 | 1 | no | — |
| 668 | C4×Q8 | — | 61 | 2 | no | — |
| 669 | C4×Q8 | — | 61 | 2 | no | — |
| 670 | C4×Q8 | — | 61 | 2 | no | — |
| 671 | C4×Q8 | — | 61 | 2 | no | — |
| 672 | C4×Q8 | — | 61 | 2 | no | — |
| 673 | C4×Q8 | — | 61 | 2 | no | — |
| 674 | C4×Q8 | — | 61 | 2 | no | — |
| 675 | C4×Q8 | — | 61 | 2 | no | — |
| 676 | C4×Q8 | — | 122 | 2 | no | — |
| 677 | C4×Q8 | — | 122 | 2 | no | — |
| 678 | C4×Q8 | — | 122 | 2 | no | — |
| 679 | C4×Q8 | — | 122 | 2 | no | — |
| 680 | C4×Q8 | — | 122 | 1 | no | — |
| 681 | C4×Q8 | — | 122 | 1 | no | — |
| 682 | C4×Q8 | — | 122 | 2 | no | — |
| 683 | C4×Q8 | — | 122 | 2 | no | — |
| 684 | C4×Q8 | — | 122 | 2 | no | — |
| 685 | C4×Q8 | — | 122 | 1 | no | — |
| 686 | C4×Q8 | — | 122 | 1 | no | — |
| 687 | C4×Q8 | — | 122 | 1 | no | — |
| 688 | C4×Q8 | C22×D61 | 1 | 2 | yes | — |
| 689 | C4×Q8 | C22×D61 | 1 | 2 | yes | — |
| 690 | C4×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 691 | C4×D4 | — | 2 | 1 | no | — |
| 692 | C4×D4 | — | 61 | 2 | no | — |
| 693 | C4×D4 | C22×D61 | 1 | 1 | yes | characteristic |
| 694 | #117 | — | 2 | 1 | no | — |
| 695 | #117 | — | 61 | 2 | no | — |
| 696 | #117 | — | 61 | 2 | no | — |
| 697 | #117 | — | 122 | 2 | no | — |
| 698 | #117 | — | 122 | 2 | no | — |
| 699 | #117 | — | 122 | 2 | no | — |
| 700 | #117 | — | 122 | 1 | no | — |
| 701 | #117 | — | 122 | 1 | no | — |
| 702 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 703 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 704 | C2×C4⋊C4 | C22×D61 | 1 | 1 | yes | characteristic |
| 705 | C2×C42 | — | 2 | 1 | no | — |
| 706 | C2×C42 | C22×D61 | 1 | 1 | yes | characteristic |
| 707 | #107 | — | 61 | 2 | no | — |
| 708 | #107 | — | 61 | 2 | no | — |
| 709 | #107 | — | 61 | 2 | no | — |
| 710 | #107 | — | 61 | 2 | no | — |
| 711 | #107 | C22×D61 | 1 | 2 | yes | — |
| 712 | #106 | — | 61 | 2 | no | — |
| 713 | #106 | — | 61 | 2 | no | — |
| 714 | #106 | — | 61 | 2 | no | — |
| 715 | #106 | — | 61 | 2 | no | — |
| 716 | #106 | — | 61 | 2 | no | — |
| 717 | #106 | — | 61 | 2 | no | — |
| 718 | #106 | C22×D61 | 1 | 2 | yes | — |
| 719 | C4⋊C8 | — | 61 | 2 | no | — |
| 720 | C4⋊C8 | — | 61 | 2 | no | — |
| 721 | C4⋊C8 | — | 61 | 2 | no | — |
| 722 | C4⋊C8 | — | 61 | 2 | no | — |
| 723 | C4⋊C8 | — | 61 | 2 | no | — |
| 724 | C4⋊C8 | C22×D61 | 1 | 2 | yes | — |
| 725 | #103 | — | 61 | 2 | no | — |
| 726 | #103 | — | 61 | 2 | no | — |
| 727 | #103 | — | 61 | 2 | no | — |
| 728 | #103 | — | 61 | 2 | no | — |
| 729 | #103 | — | 61 | 2 | no | — |
| 730 | #103 | — | 61 | 2 | no | — |
| 731 | #103 | — | 61 | 2 | no | — |
| 732 | #103 | — | 61 | 2 | no | — |
| 733 | #103 | — | 61 | 2 | no | — |
| 734 | #103 | — | 61 | 2 | no | — |
| 735 | #103 | C22×D61 | 1 | 2 | yes | — |
| 736 | #103 | C22×D61 | 1 | 2 | yes | — |
| 737 | #103 | C22×D61 | 1 | 2 | yes | — |
| 738 | #102 | — | 61 | 2 | no | — |
| 739 | #102 | — | 61 | 2 | no | — |
| 740 | #102 | C22×D61 | 1 | 2 | yes | — |
| 741 | C22⋊C8 | — | 61 | 2 | no | — |
| 742 | C22⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 743 | C22⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 744 | #97 | — | 61 | 2 | no | — |
| 745 | #97 | — | 61 | 2 | no | — |
| 746 | #97 | — | 61 | 1 | no | — |
| 747 | #97 | — | 61 | 1 | no | — |
| 748 | #97 | C22×D61 | 1 | 2 | yes | — |
| 749 | C4×C8 | — | 61 | 2 | no | — |
| 750 | C4×C8 | — | 61 | 2 | no | — |
| 751 | C2×Q8 | — | 2 | 4 | no | — |
| 752 | C2×Q8 | — | 2 | 1 | no | — |
| 753 | C2×Q8 | — | 61 | 1 | no | — |
| 754 | C2×Q8 | — | 61 | 1 | no | — |
| 755 | C2×Q8 | — | 61 | 2 | no | — |
| 756 | C2×Q8 | — | 61 | 2 | no | — |
| 757 | C2×Q8 | — | 122 | 2 | no | — |
| 758 | C2×Q8 | — | 122 | 2 | no | — |
| 759 | C2×Q8 | — | 122 | 2 | no | — |
| 760 | C2×Q8 | — | 122 | 1 | no | — |
| 761 | C2×Q8 | — | 122 | 1 | no | — |
| 762 | C2×Q8 | — | 122 | 1 | no | — |
| 763 | C2×Q8 | C23×D61 | 1 | 1 | yes | characteristic |
| 764 | C2×Q8 | C23×D61 | 1 | 2 | yes | — |
| 765 | C2×D4 | — | 2 | 1 | no | — |
| 766 | C2×D4 | C23×D61 | 1 | 1 | yes | characteristic |
| 767 | C22×C4 | — | 2 | 1 | no | — |
| 768 | C22×C4 | — | 2 | 1 | no | — |
| 769 | C22×C4 | — | 2 | 1 | no | — |
| 770 | C22×C4 | — | 122 | 2 | no | — |
| 771 | C22×C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 772 | C22×C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 773 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 774 | Q16 | — | 2 | 4 | no | — |
| 775 | Q16 | — | 122 | 4 | no | — |
| 776 | Q16 | — | 122 | 4 | no | — |
| 777 | SD16 | — | 2 | 4 | no | — |
| 778 | C2×C8 | — | 61 | 2 | no | — |
| 779 | C2×C8 | — | 61 | 2 | no | — |
| 780 | C2×C8 | C23×D61 | 1 | 2 | yes | — |
| 781 | C2×C8 | C23×D61 | 1 | 2 | yes | — |
| 782 | C4⋊C4 | — | 2 | 2 | no | — |
| 783 | C4⋊C4 | — | 2 | 2 | no | — |
| 784 | C4⋊C4 | — | 2 | 1 | no | — |
| 785 | C4⋊C4 | — | 2 | 1 | no | — |
| 786 | C4⋊C4 | — | 2 | 1 | no | — |
| 787 | C4⋊C4 | — | 2 | 1 | no | — |
| 788 | C4⋊C4 | — | 2 | 1 | no | — |
| 789 | C4⋊C4 | — | 61 | 1 | no | — |
| 790 | C4⋊C4 | — | 61 | 2 | no | — |
| 791 | C4⋊C4 | — | 61 | 2 | no | — |
| 792 | C4⋊C4 | — | 61 | 2 | no | — |
| 793 | C4⋊C4 | — | 61 | 2 | no | — |
| 794 | C4⋊C4 | — | 61 | 2 | no | — |
| 795 | C4⋊C4 | — | 61 | 2 | no | — |
| 796 | C4⋊C4 | — | 61 | 1 | no | — |
| 797 | C4⋊C4 | — | 61 | 2 | no | — |
| 798 | C4⋊C4 | — | 61 | 2 | no | — |
| 799 | C4⋊C4 | — | 61 | 2 | no | — |
| 800 | C4⋊C4 | — | 61 | 2 | no | — |
| 801 | C4⋊C4 | — | 122 | 2 | no | — |
| 802 | C4⋊C4 | — | 122 | 2 | no | — |
| 803 | C4⋊C4 | — | 122 | 2 | no | — |
| 804 | C4⋊C4 | — | 122 | 2 | no | — |
| 805 | C4⋊C4 | — | 122 | 2 | no | — |
| 806 | C4⋊C4 | — | 122 | 2 | no | — |
| 807 | C4⋊C4 | — | 122 | 2 | no | — |
| 808 | C4⋊C4 | — | 122 | 2 | no | — |
| 809 | C4⋊C4 | — | 122 | 2 | no | — |
| 810 | C4⋊C4 | — | 122 | 2 | no | — |
| 811 | C4⋊C4 | — | 122 | 2 | no | — |
| 812 | C4⋊C4 | — | 122 | 2 | no | — |
| 813 | C4⋊C4 | — | 122 | 2 | no | — |
| 814 | C4⋊C4 | — | 122 | 2 | no | — |
| 815 | C4⋊C4 | — | 122 | 2 | no | — |
| 816 | C4⋊C4 | — | 122 | 2 | no | — |
| 817 | C4⋊C4 | — | 122 | 2 | no | — |
| 818 | C4⋊C4 | — | 122 | 2 | no | — |
| 819 | C4⋊C4 | — | 122 | 1 | no | — |
| 820 | C4⋊C4 | — | 122 | 2 | no | — |
| 821 | C4⋊C4 | — | 122 | 2 | no | — |
| 822 | C4⋊C4 | — | 122 | 2 | no | — |
| 823 | C4⋊C4 | — | 122 | 2 | no | — |
| 824 | C4⋊C4 | — | 122 | 1 | no | — |
| 825 | C4⋊C4 | — | 122 | 1 | no | — |
| 826 | C4⋊C4 | — | 122 | 1 | no | — |
| 827 | C4⋊C4 | — | 122 | 1 | no | — |
| 828 | C4⋊C4 | C23×D61 | 1 | 2 | yes | — |
| 829 | C4⋊C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 830 | C4⋊C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 831 | C22⋊C4 | — | 2 | 1 | no | — |
| 832 | C22⋊C4 | — | 2 | 1 | no | — |
| 833 | C22⋊C4 | — | 2 | 1 | no | — |
| 834 | C22⋊C4 | — | 2 | 1 | no | — |
| 835 | C22⋊C4 | — | 2 | 1 | no | — |
| 836 | C22⋊C4 | — | 61 | 2 | no | — |
| 837 | C22⋊C4 | — | 61 | 2 | no | — |
| 838 | C22⋊C4 | — | 122 | 2 | no | — |
| 839 | C22⋊C4 | — | 122 | 2 | no | — |
| 840 | C22⋊C4 | — | 122 | 2 | no | — |
| 841 | C22⋊C4 | — | 122 | 2 | no | — |
| 842 | C22⋊C4 | — | 122 | 2 | no | — |
| 843 | C42 | — | 2 | 2 | no | — |
| 844 | C42 | — | 2 | 2 | no | — |
| 845 | C42 | — | 2 | 1 | no | — |
| 846 | C42 | — | 61 | 2 | no | — |
| 847 | C42 | — | 61 | 2 | no | — |
| 848 | C42 | — | 122 | 2 | no | — |
| 849 | C42 | — | 122 | 2 | no | — |
| 850 | C42 | — | 122 | 2 | no | — |
| 851 | C42 | — | 122 | 2 | no | — |
| 852 | C42 | — | 122 | 2 | no | — |
| 853 | C42 | — | 122 | 2 | no | — |
| 854 | C42 | — | 122 | 2 | no | — |
| 855 | C42 | — | 122 | 2 | no | — |
| 856 | C42 | — | 122 | 2 | no | — |
| 857 | C42 | D4×D61 | 1 | 1 | yes | characteristic |
| 858 | C42 | D4×D61 | 1 | 1 | yes | characteristic |
| 859 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 860 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 861 | C23 | — | 2 | 1 | no | — |
| 862 | C23 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 863 | Q8 | — | 2 | 4 | no | — |
| 864 | Q8 | — | 2 | 2 | no | — |
| 865 | Q8 | — | 2 | 2 | no | — |
| 866 | Q8 | — | 122 | 2 | no | — |
| 867 | Q8 | — | 122 | 2 | no | — |
| 868 | Q8 | — | 488 | 1 | no | — |
| 869 | Q8 | — | 488 | 1 | no | — |
| 870 | Q8 | — | 488 | 2 | no | — |
| 871 | Q8 | — | 488 | 2 | no | — |
| 872 | Q8 | — | 488 | 2 | no | — |
| 873 | Q8 | — | 244 | 2 | no | — |
| 874 | Q8 | — | 244 | 1 | no | — |
| 875 | Q8 | — | 244 | 1 | no | — |
| 876 | Q8 | — | 244 | 2 | no | — |
| 877 | Q8 | #14519824 | 1 | 4 | yes | — |
| 878 | D4 | — | 2 | 2 | no | — |
| 879 | D4 | — | 8 | 1 | no | — |
| 880 | C2×C4 | — | 2 | 4 | no | — |
| 881 | C2×C4 | — | 2 | 2 | no | — |
| 882 | C2×C4 | — | 2 | 2 | no | — |
| 883 | C2×C4 | — | 2 | 2 | no | — |
| 884 | C2×C4 | — | 2 | 1 | no | — |
| 885 | C2×C4 | — | 2 | 1 | no | — |
| 886 | C2×C4 | — | 2 | 1 | no | — |
| 887 | C2×C4 | — | 4 | 1 | no | — |
| 888 | C2×C4 | — | 4 | 1 | no | — |
| 889 | C2×C4 | — | 4 | 2 | no | — |
| 890 | C2×C4 | — | 8 | 1 | no | — |
| 891 | C2×C4 | — | 61 | 2 | no | — |
| 892 | C2×C4 | — | 61 | 2 | no | — |
| 893 | C2×C4 | — | 61 | 2 | no | — |
| 894 | C2×C4 | — | 61 | 2 | no | — |
| 895 | C2×C4 | — | 122 | 2 | no | — |
| 896 | C2×C4 | — | 122 | 2 | no | — |
| 897 | C2×C4 | — | 122 | 2 | no | — |
| 898 | C2×C4 | — | 122 | 2 | no | — |
| 899 | C2×C4 | — | 488 | 2 | no | — |
| 900 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 901 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 902 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 903 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 904 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 905 | C2×C4 | C24×D61 | 1 | 1 | yes | characteristic |
| 906 | C8 | — | 2 | 2 | no | — |
| 907 | C8 | — | 2 | 2 | no | — |
| 908 | C8 | — | 122 | 2 | no | — |
| 909 | C8 | — | 122 | 2 | no | — |
| 910 | C22 | — | 2 | 1 | no | — |
| 911 | C22 | — | 2 | 1 | no | — |
| 912 | C22 | — | 2 | 1 | no | — |
| 913 | C22 | — | 4 | 1 | no | — |
| 914 | C22 | — | 4 | 1 | no | — |
| 915 | C22 | — | 4 | 1 | no | — |
| 916 | C22 | C22×D4×D61 | 1 | 1 | yes | characteristic |
| 917 | C4 | — | 2 | 4 | no | — |
| 918 | C4 | — | 2 | 1 | no | — |
| 919 | C4 | — | 2 | 1 | no | — |
| 920 | C4 | — | 2 | 1 | no | — |
| 921 | C4 | — | 2 | 1 | no | — |
| 922 | C4 | — | 2 | 1 | no | — |
| 923 | C4 | — | 4 | 1 | no | — |
| 924 | C4 | — | 4 | 1 | no | — |
| 925 | C4 | — | 4 | 1 | no | — |
| 926 | C4 | — | 4 | 2 | no | — |
| 927 | C4 | — | 122 | 2 | no | — |
| 928 | C4 | — | 122 | 2 | no | — |
| 929 | C4 | — | 122 | 2 | no | — |
| 930 | C4 | — | 122 | 2 | no | — |
| 931 | C4 | — | 244 | 2 | no | — |
| 932 | C4 | — | 244 | 2 | no | — |
| 933 | C4 | — | 244 | 2 | no | — |
| 934 | C4 | — | 244 | 2 | no | — |
| 935 | C4 | C2×#14519824 | 1 | 2 | yes | — |
| 936 | C2 | — | 4 | 1 | no | — |
| 937 | C2 | — | 8 | 1 | no | — |
| 938 | C2 | #21459466 | 1 | 1 | yes | characteristic |
| 939 | C2 | #21460602 | 1 | 1 | yes | characteristic |
| 940 | C2 | #21460603 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta