← #12979957
Subgroups — #12979957
Order 1280.
1682 conjugacy classes of subgroups.
The subgroup lattice has 1042 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10618486 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10617776 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×#3082 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10615204 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10614280 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #10612958 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10612955 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10612953 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10612953 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10612836 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10612833 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10612738 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #10612737 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #10610976 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #10610937 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #10610929 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | #10610901 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | #10610832 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #10610807 | C2 | 1 | 1 | yes | maximal, characteristic |
| 20 | #10610680 | C2 | 1 | 1 | yes | maximal, characteristic |
| 21 | #10610679 | C2 | 1 | 1 | yes | maximal, characteristic |
| 22 | #10610510 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | C2×#65079 | C2 | 1 | 1 | yes | maximal, characteristic |
| 24 | C5×#544 | C22 | 1 | 1 | yes | characteristic |
| 25 | C5×#519 | C22 | 1 | 1 | yes | characteristic |
| 26 | #66146 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#689 | C22 | 1 | 1 | yes | characteristic |
| 29 | #66056 | — | 2 | 1 | no | — |
| 30 | #66056 | C22 | 1 | 2 | yes | — |
| 31 | #66055 | — | 2 | 1 | no | — |
| 32 | #66055 | C22 | 1 | 2 | yes | — |
| 33 | #66019 | — | 2 | 1 | no | — |
| 34 | #66019 | — | 2 | 1 | no | — |
| 35 | #66019 | C22 | 1 | 2 | yes | — |
| 36 | #66019 | C22 | 1 | 2 | yes | — |
| 37 | #65957 | — | 2 | 2 | no | — |
| 38 | #65956 | — | 2 | 2 | no | — |
| 39 | #65904 | — | 2 | 1 | no | — |
| 40 | #65904 | C22 | 1 | 2 | yes | — |
| 41 | #65903 | — | 2 | 1 | no | — |
| 42 | #65903 | — | 2 | 1 | no | — |
| 43 | #65903 | C22 | 1 | 2 | yes | — |
| 44 | #65903 | C22 | 1 | 2 | yes | — |
| 45 | Q8×Dic10 | — | 2 | 1 | no | — |
| 46 | Q8×Dic10 | C22 | 1 | 2 | yes | — |
| 47 | #65853 | — | 2 | 2 | no | — |
| 48 | #65853 | C22 | 1 | 1 | yes | characteristic |
| 49 | #65853 | C22 | 1 | 1 | yes | characteristic |
| 50 | #65851 | — | 2 | 2 | no | — |
| 51 | #65851 | C22 | 1 | 1 | yes | characteristic |
| 52 | #65851 | C22 | 1 | 1 | yes | characteristic |
| 53 | #65851 | C22 | 1 | 1 | yes | characteristic |
| 54 | #65850 | C22 | 1 | 1 | yes | characteristic |
| 55 | #65850 | C22 | 1 | 1 | yes | characteristic |
| 56 | #65834 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#4033 | C22 | 1 | 1 | yes | characteristic |
| 58 | C5×#479 | C22 | 1 | 2 | yes | — |
| 59 | C5×#479 | C22 | 1 | 2 | yes | — |
| 60 | C5×#477 | C22 | 1 | 2 | yes | — |
| 61 | C5×#475 | C22 | 1 | 2 | yes | — |
| 62 | C5×#428 | C22 | 1 | 1 | yes | characteristic |
| 63 | C5×#427 | C22 | 1 | 1 | yes | characteristic |
| 64 | C5×#424 | C22 | 1 | 1 | yes | characteristic |
| 65 | C5×#419 | C22 | 1 | 1 | yes | characteristic |
| 66 | C2×C5×#103 | C22 | 1 | 1 | yes | characteristic |
| 67 | #65514 | C22 | 1 | 1 | yes | characteristic |
| 68 | #65411 | C22 | 1 | 1 | yes | characteristic |
| 69 | #65410 | C22 | 1 | 1 | yes | characteristic |
| 70 | #65409 | C22 | 1 | 1 | yes | characteristic |
| 71 | #65407 | C22 | 1 | 1 | yes | characteristic |
| 72 | #65395 | C22 | 1 | 1 | yes | characteristic |
| 73 | C2×#3948 | C22 | 1 | 1 | yes | characteristic |
| 74 | #65391 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 76 | #65369 | C22 | 1 | 2 | yes | — |
| 77 | #65367 | C22 | 1 | 2 | yes | — |
| 78 | #65354 | C22 | 1 | 2 | yes | — |
| 79 | #65353 | C22 | 1 | 2 | yes | — |
| 80 | #65319 | C22 | 1 | 2 | yes | — |
| 81 | #65319 | C22 | 1 | 2 | yes | — |
| 82 | C4×#689 | C22 | 1 | 2 | yes | — |
| 83 | C4×#689 | C22 | 1 | 2 | yes | — |
| 84 | #65293 | C22 | 1 | 1 | yes | characteristic |
| 85 | #65287 | C22 | 1 | 1 | yes | characteristic |
| 86 | #65287 | C22 | 1 | 1 | yes | characteristic |
| 87 | #65286 | C22 | 1 | 1 | yes | characteristic |
| 88 | #65284 | C22 | 1 | 1 | yes | characteristic |
| 89 | #65253 | C22 | 1 | 1 | yes | characteristic |
| 90 | C2×#3939 | C22 | 1 | 1 | yes | characteristic |
| 91 | #65167 | C22 | 1 | 1 | yes | characteristic |
| 92 | #65167 | C22 | 1 | 1 | yes | characteristic |
| 93 | #65166 | C22 | 1 | 2 | yes | — |
| 94 | #65166 | C22 | 1 | 2 | yes | — |
| 95 | #65165 | C22 | 1 | 2 | yes | — |
| 96 | #65164 | C22 | 1 | 2 | yes | — |
| 97 | #65164 | C22 | 1 | 2 | yes | — |
| 98 | #65163 | C22 | 1 | 1 | yes | characteristic |
| 99 | #65163 | C22 | 1 | 2 | yes | — |
| 100 | #65163 | C22 | 1 | 1 | yes | characteristic |
| 101 | #65147 | C22 | 1 | 1 | yes | characteristic |
| 102 | #65147 | C22 | 1 | 2 | yes | — |
| 103 | #65147 | C22 | 1 | 1 | yes | characteristic |
| 104 | #65146 | C22 | 1 | 2 | yes | — |
| 105 | #65146 | C22 | 1 | 2 | yes | — |
| 106 | #65145 | C22 | 1 | 2 | yes | — |
| 107 | #65144 | C22 | 1 | 1 | yes | characteristic |
| 108 | #65144 | C22 | 1 | 1 | yes | characteristic |
| 109 | #65143 | C22 | 1 | 2 | yes | — |
| 110 | #65143 | C22 | 1 | 2 | yes | — |
| 111 | #65140 | C22 | 1 | 2 | yes | — |
| 112 | #65139 | C22 | 1 | 2 | yes | — |
| 113 | #65119 | C22 | 1 | 2 | yes | — |
| 114 | #65119 | C22 | 1 | 2 | yes | — |
| 115 | #65118 | C22 | 1 | 2 | yes | — |
| 116 | #65118 | C22 | 1 | 2 | yes | — |
| 117 | #65117 | C22 | 1 | 2 | yes | — |
| 118 | #65117 | C22 | 1 | 2 | yes | — |
| 119 | #65088 | C22 | 1 | 2 | yes | — |
| 120 | #65088 | C22 | 1 | 2 | yes | — |
| 121 | #65085 | C22 | 1 | 2 | yes | — |
| 122 | #65085 | C22 | 1 | 2 | yes | — |
| 123 | #65083 | C22 | 1 | 2 | yes | — |
| 124 | #65083 | C22 | 1 | 2 | yes | — |
| 125 | #65080 | C22 | 1 | 2 | yes | — |
| 126 | #65080 | C22 | 1 | 2 | yes | — |
| 127 | #65079 | C22 | 1 | 2 | yes | — |
| 128 | #65079 | C22 | 1 | 2 | yes | — |
| 129 | #65079 | C22 | 1 | 2 | yes | — |
| 130 | #65079 | C22 | 1 | 2 | yes | — |
| 131 | #65079 | C22 | 1 | 2 | yes | — |
| 132 | #65079 | C22 | 1 | 2 | yes | — |
| 133 | #65078 | C22 | 1 | 2 | yes | — |
| 134 | #65078 | C22 | 1 | 2 | yes | — |
| 135 | #61372 | — | 5 | 1 | no | maximal, Sylow |
| 136 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 139 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 140 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 141 | C5×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 142 | C5×#125 | — | 2 | 1 | no | — |
| 143 | C5×#125 | C23 | 1 | 2 | yes | — |
| 144 | C5×C22⋊Q8 | — | 2 | 2 | no | — |
| 145 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 146 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 147 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 148 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 149 | C5×#117 | — | 2 | 2 | no | — |
| 150 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 151 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 152 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 154 | Q8×Dic5 | — | 2 | 2 | no | — |
| 155 | Q8×Dic5 | — | 2 | 1 | no | — |
| 156 | Q8×Dic5 | — | 2 | 1 | no | — |
| 157 | Q8×Dic5 | — | 2 | 1 | no | — |
| 158 | Q8×Dic5 | — | 2 | 1 | no | — |
| 159 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 160 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 161 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 162 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 163 | #4090 | — | 2 | 2 | no | — |
| 164 | #4090 | — | 2 | 2 | no | — |
| 165 | #4090 | — | 2 | 2 | no | — |
| 166 | C2×#689 | Q8 | 1 | 8 | yes | complemented |
| 167 | C2×#689 | C23 | 1 | 2 | yes | — |
| 168 | C2×#689 | C23 | 1 | 2 | yes | — |
| 169 | #4072 | — | 2 | 2 | no | — |
| 170 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 171 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 172 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 174 | C2×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 175 | #4070 | — | 2 | 2 | no | — |
| 176 | C2×#683 | — | 2 | 1 | no | — |
| 177 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 178 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 179 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 180 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 181 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 182 | #4036 | — | 2 | 1 | no | — |
| 183 | #4036 | — | 2 | 1 | no | — |
| 184 | #4036 | — | 2 | 2 | no | — |
| 185 | #4036 | — | 2 | 2 | no | — |
| 186 | #4036 | — | 2 | 2 | no | — |
| 187 | #4036 | — | 2 | 2 | no | — |
| 188 | #4036 | D4 | 1 | 1 | yes | characteristic |
| 189 | #4036 | D4 | 1 | 1 | yes | characteristic |
| 190 | #4036 | C23 | 1 | 1 | yes | characteristic |
| 191 | #4036 | C23 | 1 | 2 | yes | — |
| 192 | #4036 | C23 | 1 | 1 | yes | characteristic |
| 193 | #4036 | C23 | 1 | 1 | yes | characteristic |
| 194 | #4036 | C23 | 1 | 1 | yes | characteristic |
| 195 | #4036 | C23 | 1 | 2 | yes | — |
| 196 | #4035 | — | 2 | 2 | no | — |
| 197 | #4035 | — | 2 | 2 | no | — |
| 198 | #4035 | — | 2 | 2 | no | — |
| 199 | #4035 | — | 2 | 2 | no | — |
| 200 | #4035 | — | 2 | 2 | no | — |
| 201 | #4035 | — | 2 | 2 | no | — |
| 202 | #4034 | — | 2 | 2 | no | — |
| 203 | #4034 | — | 2 | 2 | no | — |
| 204 | #4034 | — | 2 | 2 | no | — |
| 205 | #4034 | — | 2 | 2 | no | — |
| 206 | #4034 | — | 2 | 1 | no | — |
| 207 | #4034 | — | 2 | 1 | no | — |
| 208 | #4034 | — | 2 | 2 | no | — |
| 209 | #4034 | — | 2 | 2 | no | — |
| 210 | #4034 | — | 2 | 2 | no | — |
| 211 | #4034 | D4 | 1 | 1 | yes | characteristic |
| 212 | #4034 | D4 | 1 | 1 | yes | characteristic |
| 213 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 214 | #4034 | C23 | 1 | 2 | yes | — |
| 215 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 216 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 217 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 218 | #4034 | C23 | 1 | 2 | yes | — |
| 219 | #4033 | — | 2 | 2 | no | — |
| 220 | #4033 | — | 2 | 1 | no | — |
| 221 | #4033 | — | 2 | 1 | no | — |
| 222 | #4033 | — | 2 | 2 | no | — |
| 223 | #4033 | — | 2 | 2 | no | — |
| 224 | #4033 | — | 2 | 1 | no | — |
| 225 | #4033 | — | 2 | 1 | no | — |
| 226 | #4033 | C23 | 1 | 2 | yes | — |
| 227 | #4033 | C23 | 1 | 2 | yes | — |
| 228 | #4033 | C23 | 1 | 2 | yes | — |
| 229 | #4033 | C23 | 1 | 2 | yes | — |
| 230 | #4024 | — | 2 | 1 | no | — |
| 231 | #4024 | — | 2 | 1 | no | — |
| 232 | #4024 | — | 2 | 1 | no | — |
| 233 | #4024 | — | 2 | 1 | no | — |
| 234 | #4024 | — | 2 | 2 | no | — |
| 235 | #4024 | — | 2 | 2 | no | — |
| 236 | #4024 | D4 | 1 | 2 | yes | — |
| 237 | #4024 | D4 | 1 | 2 | yes | — |
| 238 | #4023 | — | 2 | 2 | no | — |
| 239 | #4023 | — | 2 | 2 | no | — |
| 240 | #4016 | — | 2 | 1 | no | — |
| 241 | #4016 | — | 2 | 2 | no | — |
| 242 | #4016 | — | 2 | 2 | no | — |
| 243 | #4016 | C23 | 1 | 2 | yes | — |
| 244 | #4015 | — | 2 | 2 | no | — |
| 245 | #4015 | — | 2 | 2 | no | — |
| 246 | #4015 | — | 2 | 1 | no | — |
| 247 | #4015 | C23 | 1 | 2 | yes | — |
| 248 | C4×Dic10 | — | 2 | 2 | no | — |
| 249 | C4×Dic10 | — | 2 | 1 | no | — |
| 250 | C4×Dic10 | — | 2 | 1 | no | — |
| 251 | C4×Dic10 | — | 2 | 2 | no | — |
| 252 | C4×Dic10 | — | 2 | 2 | no | — |
| 253 | C4×Dic10 | — | 2 | 2 | no | — |
| 254 | C4×Dic10 | — | 2 | 1 | no | — |
| 255 | C4×Dic10 | — | 2 | 1 | no | — |
| 256 | C4×Dic10 | — | 2 | 1 | no | — |
| 257 | C4×Dic10 | — | 2 | 1 | no | — |
| 258 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 259 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 260 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 261 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 262 | C5×#107 | C23 | 1 | 1 | yes | characteristic |
| 263 | C5×#107 | C23 | 1 | 1 | yes | characteristic |
| 264 | C5×#107 | C23 | 1 | 2 | yes | — |
| 265 | C5×#106 | C23 | 1 | 1 | yes | characteristic |
| 266 | C5×#106 | C23 | 1 | 1 | yes | characteristic |
| 267 | C5×#106 | C23 | 1 | 2 | yes | — |
| 268 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 269 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 270 | C5×#103 | C23 | 1 | 2 | yes | — |
| 271 | C5×#103 | C23 | 1 | 2 | yes | — |
| 272 | C5×#103 | C23 | 1 | 2 | yes | — |
| 273 | C5×#103 | C23 | 1 | 2 | yes | — |
| 274 | #3967 | C23 | 1 | 2 | yes | — |
| 275 | #3967 | C23 | 1 | 2 | yes | — |
| 276 | #3950 | C23 | 1 | 1 | yes | characteristic |
| 277 | #3950 | C23 | 1 | 2 | yes | — |
| 278 | #3950 | C23 | 1 | 1 | yes | characteristic |
| 279 | #3949 | C23 | 1 | 1 | yes | characteristic |
| 280 | #3949 | C23 | 1 | 2 | yes | — |
| 281 | #3949 | C23 | 1 | 1 | yes | characteristic |
| 282 | #3948 | C23 | 1 | 2 | yes | — |
| 283 | #3948 | C23 | 1 | 2 | yes | — |
| 284 | #3948 | C23 | 1 | 2 | yes | — |
| 285 | #3948 | C23 | 1 | 2 | yes | — |
| 286 | #3947 | C23 | 1 | 2 | yes | — |
| 287 | #3946 | C23 | 1 | 2 | yes | — |
| 288 | #3946 | C23 | 1 | 2 | yes | — |
| 289 | #3946 | C23 | 1 | 2 | yes | — |
| 290 | #3946 | C23 | 1 | 2 | yes | — |
| 291 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 292 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 293 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 294 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 295 | C8×Dic5 | C23 | 1 | 2 | yes | — |
| 296 | #3942 | C23 | 1 | 2 | yes | — |
| 297 | #3942 | C23 | 1 | 2 | yes | — |
| 298 | #3940 | C23 | 1 | 2 | yes | — |
| 299 | #3940 | C23 | 1 | 1 | yes | characteristic |
| 300 | #3940 | C23 | 1 | 1 | yes | characteristic |
| 301 | #3940 | C23 | 1 | 1 | yes | characteristic |
| 302 | #3940 | C23 | 1 | 1 | yes | characteristic |
| 303 | #3940 | C23 | 1 | 2 | yes | — |
| 304 | #3939 | C23 | 1 | 2 | yes | — |
| 305 | #3939 | C23 | 1 | 1 | yes | characteristic |
| 306 | #3939 | C23 | 1 | 1 | yes | characteristic |
| 307 | #3939 | C23 | 1 | 1 | yes | characteristic |
| 308 | #3939 | C23 | 1 | 1 | yes | characteristic |
| 309 | #3939 | C23 | 1 | 2 | yes | — |
| 310 | #3939 | C23 | 1 | 2 | yes | — |
| 311 | #3939 | C23 | 1 | 2 | yes | — |
| 312 | #3935 | C23 | 1 | 2 | yes | — |
| 313 | C4×#168 | C23 | 1 | 2 | yes | — |
| 314 | #3502 | — | 5 | 1 | no | — |
| 315 | #3502 | — | 5 | 1 | no | — |
| 316 | #3390 | — | 5 | 2 | no | — |
| 317 | #3390 | — | 5 | 2 | no | — |
| 318 | #3387 | — | 5 | 2 | no | — |
| 319 | #3387 | — | 5 | 2 | no | — |
| 320 | #3383 | — | 5 | 2 | no | — |
| 321 | #3383 | — | 5 | 2 | no | — |
| 322 | #3383 | — | 5 | 2 | no | — |
| 323 | Q8×Q16 | — | 5 | 2 | no | — |
| 324 | #3164 | — | 5 | 1 | no | — |
| 325 | #3164 | — | 5 | 1 | no | — |
| 326 | #3160 | — | 5 | 1 | no | — |
| 327 | #3082 | — | 5 | 1 | no | — |
| 328 | #3082 | — | 5 | 1 | no | — |
| 329 | #3082 | — | 5 | 1 | no | — |
| 330 | #3082 | D5 | 1 | 1 | yes | characteristic |
| 331 | #3078 | — | 5 | 1 | no | — |
| 332 | #3078 | — | 5 | 1 | no | — |
| 333 | #2960 | — | 5 | 1 | no | — |
| 334 | #2950 | — | 5 | 1 | no | — |
| 335 | #2950 | — | 5 | 1 | no | — |
| 336 | C2×C4×Q16 | — | 5 | 1 | no | — |
| 337 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 338 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 339 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 340 | C2×C5×Q8 | C2×Q8 | 1 | 4 | yes | — |
| 341 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 342 | C22×C4×C5 | — | 2 | 1 | no | — |
| 343 | C22×C4×C5 | — | 2 | 1 | no | — |
| 344 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 345 | C22×Dic5 | — | 2 | 1 | no | — |
| 346 | C22×Dic5 | — | 2 | 1 | no | — |
| 347 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×Dic10 | — | 2 | 1 | no | — |
| 350 | C2×Dic10 | — | 2 | 2 | no | — |
| 351 | C2×Dic10 | — | 2 | 1 | no | — |
| 352 | C2×Dic10 | — | 2 | 1 | no | — |
| 353 | C2×Dic10 | — | 2 | 2 | no | — |
| 354 | C2×Dic10 | — | 2 | 1 | no | — |
| 355 | C2×Dic10 | — | 2 | 2 | no | — |
| 356 | C2×Dic10 | — | 2 | 1 | no | — |
| 357 | C2×Dic10 | — | 2 | 2 | no | — |
| 358 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 359 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 360 | C2×Dic10 | C2×Q8 | 1 | 4 | yes | — |
| 361 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 362 | C5×M16 | — | 2 | 2 | no | — |
| 363 | C2×C5×C8 | — | 2 | 2 | no | — |
| 364 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 365 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 366 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 367 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 368 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 369 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 370 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 371 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 372 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 373 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 374 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 375 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 376 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 377 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 378 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 379 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 380 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 381 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 382 | C5×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 383 | C42×C5 | — | 2 | 2 | no | — |
| 384 | C42×C5 | — | 2 | 2 | no | — |
| 385 | C42×C5 | — | 2 | 1 | no | — |
| 386 | C42×C5 | — | 2 | 1 | no | — |
| 387 | C42×C5 | C24 | 1 | 2 | yes | — |
| 388 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 389 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 390 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 391 | #689 | C2×Q8 | 1 | 8 | yes | — |
| 392 | #689 | C2×Q8 | 1 | 8 | yes | — |
| 393 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 394 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 395 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 396 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 397 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 398 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 399 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 400 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 401 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 402 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 403 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 404 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 405 | C4⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 406 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 407 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 408 | C4⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 409 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 410 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 411 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 412 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 413 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 414 | #683 | — | 2 | 2 | no | — |
| 415 | #683 | — | 2 | 2 | no | — |
| 416 | #683 | — | 2 | 2 | no | — |
| 417 | #683 | — | 2 | 2 | no | — |
| 418 | #683 | — | 2 | 1 | no | — |
| 419 | #683 | — | 2 | 1 | no | — |
| 420 | #683 | — | 2 | 1 | no | — |
| 421 | #683 | — | 2 | 2 | no | — |
| 422 | #683 | — | 2 | 2 | no | — |
| 423 | #683 | — | 2 | 1 | no | — |
| 424 | #683 | — | 2 | 2 | no | — |
| 425 | #683 | — | 2 | 2 | no | — |
| 426 | #683 | — | 2 | 1 | no | — |
| 427 | #683 | — | 2 | 1 | no | — |
| 428 | #683 | — | 2 | 1 | no | — |
| 429 | #683 | — | 2 | 1 | no | — |
| 430 | #683 | — | 2 | 2 | no | — |
| 431 | #683 | — | 2 | 2 | no | — |
| 432 | #683 | — | 2 | 2 | no | — |
| 433 | #683 | — | 2 | 2 | no | — |
| 434 | #683 | C2×D4 | 1 | 2 | yes | — |
| 435 | #683 | C2×D4 | 1 | 2 | yes | — |
| 436 | #683 | C2×D4 | 1 | 2 | yes | — |
| 437 | #683 | C2×D4 | 1 | 2 | yes | — |
| 438 | C4×Dic5 | — | 2 | 1 | no | — |
| 439 | C4×Dic5 | — | 2 | 1 | no | — |
| 440 | C4×Dic5 | — | 2 | 2 | no | — |
| 441 | C4×Dic5 | — | 2 | 2 | no | — |
| 442 | C4×Dic5 | — | 2 | 2 | no | — |
| 443 | C4×Dic5 | — | 2 | 2 | no | — |
| 444 | C4×Dic5 | — | 2 | 2 | no | — |
| 445 | C4×Dic5 | — | 2 | 2 | no | — |
| 446 | C4×Dic5 | — | 2 | 2 | no | — |
| 447 | C4×Dic5 | — | 2 | 2 | no | — |
| 448 | C4×Dic5 | — | 2 | 2 | no | — |
| 449 | C4×Dic5 | — | 2 | 2 | no | — |
| 450 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 451 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 452 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 453 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 454 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 455 | #681 | — | 2 | 2 | no | — |
| 456 | C2×#168 | C2×Q8 | 1 | 4 | yes | — |
| 457 | C2×#168 | C24 | 1 | 2 | yes | — |
| 458 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 459 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 460 | C22×Q16 | — | 5 | 1 | no | — |
| 461 | Q82 | — | 5 | 2 | no | — |
| 462 | Q82 | — | 5 | 2 | no | — |
| 463 | Q82 | — | 10 | 1 | no | — |
| 464 | Q82 | — | 10 | 1 | no | — |
| 465 | #557 | — | 5 | 2 | no | — |
| 466 | #557 | — | 5 | 2 | no | — |
| 467 | #557 | — | 5 | 2 | no | — |
| 468 | #557 | — | 5 | 2 | no | — |
| 469 | #557 | — | 5 | 2 | no | — |
| 470 | #557 | — | 5 | 2 | no | — |
| 471 | #557 | — | 10 | 1 | no | — |
| 472 | #557 | — | 10 | 1 | no | — |
| 473 | #557 | — | 10 | 1 | no | — |
| 474 | #557 | — | 10 | 1 | no | — |
| 475 | #557 | — | 10 | 1 | no | — |
| 476 | #557 | — | 10 | 1 | no | — |
| 477 | #544 | — | 5 | 1 | no | — |
| 478 | #544 | — | 5 | 1 | no | — |
| 479 | #544 | — | 5 | 1 | no | — |
| 480 | #544 | — | 10 | 2 | no | — |
| 481 | #544 | — | 10 | 2 | no | — |
| 482 | #544 | C2×D5 | 1 | 1 | yes | characteristic |
| 483 | #533 | — | 5 | 1 | no | — |
| 484 | #533 | — | 5 | 1 | no | — |
| 485 | #533 | — | 5 | 1 | no | — |
| 486 | #533 | — | 10 | 2 | no | — |
| 487 | #533 | — | 10 | 2 | no | — |
| 488 | #519 | — | 5 | 1 | no | — |
| 489 | #519 | — | 5 | 1 | no | — |
| 490 | #519 | — | 5 | 1 | no | — |
| 491 | #519 | C2×D5 | 1 | 1 | yes | characteristic |
| 492 | C2×C4×Q8 | — | 5 | 1 | no | — |
| 493 | C2×C4×Q8 | — | 5 | 1 | no | — |
| 494 | #501 | — | 5 | 2 | no | — |
| 495 | #501 | — | 5 | 2 | no | — |
| 496 | #501 | — | 5 | 2 | no | — |
| 497 | #501 | — | 5 | 2 | no | — |
| 498 | #500 | — | 5 | 2 | no | — |
| 499 | #500 | — | 5 | 1 | no | — |
| 500 | #500 | — | 5 | 2 | no | — |
| 501 | #500 | — | 5 | 1 | no | — |
| 502 | #499 | — | 5 | 2 | no | — |
| 503 | #499 | — | 5 | 1 | no | — |
| 504 | #499 | — | 5 | 1 | no | — |
| 505 | #499 | — | 5 | 1 | no | — |
| 506 | #499 | — | 5 | 1 | no | — |
| 507 | #499 | — | 5 | 2 | no | — |
| 508 | #498 | — | 5 | 1 | no | — |
| 509 | #498 | — | 5 | 1 | no | — |
| 510 | #479 | — | 5 | 2 | no | — |
| 511 | #479 | — | 5 | 2 | no | — |
| 512 | #479 | — | 5 | 2 | no | — |
| 513 | #479 | — | 5 | 2 | no | — |
| 514 | #479 | — | 5 | 2 | no | — |
| 515 | #479 | — | 5 | 2 | no | — |
| 516 | #479 | — | 5 | 2 | no | — |
| 517 | #479 | — | 5 | 2 | no | — |
| 518 | #479 | — | 5 | 2 | no | — |
| 519 | #479 | — | 5 | 2 | no | — |
| 520 | #479 | C2×D5 | 1 | 2 | yes | — |
| 521 | #479 | C2×D5 | 1 | 2 | yes | — |
| 522 | #477 | — | 5 | 2 | no | — |
| 523 | #477 | — | 5 | 2 | no | — |
| 524 | #477 | — | 5 | 2 | no | — |
| 525 | #477 | — | 5 | 2 | no | — |
| 526 | #477 | — | 5 | 2 | no | — |
| 527 | #477 | C2×D5 | 1 | 2 | yes | — |
| 528 | #475 | — | 5 | 2 | no | — |
| 529 | #475 | — | 5 | 2 | no | — |
| 530 | #475 | — | 5 | 2 | no | — |
| 531 | #475 | — | 5 | 2 | no | — |
| 532 | #475 | — | 5 | 2 | no | — |
| 533 | #475 | C2×D5 | 1 | 2 | yes | — |
| 534 | #446 | — | 5 | 2 | no | — |
| 535 | #446 | — | 5 | 2 | no | — |
| 536 | C8×Q8 | — | 5 | 2 | no | — |
| 537 | C8×Q8 | — | 5 | 2 | no | — |
| 538 | #441 | — | 5 | 2 | no | — |
| 539 | #441 | — | 5 | 2 | no | — |
| 540 | #441 | — | 5 | 2 | no | — |
| 541 | #441 | — | 5 | 2 | no | — |
| 542 | C4×Q16 | — | 5 | 2 | no | — |
| 543 | C4×Q16 | — | 5 | 2 | no | — |
| 544 | C4×Q16 | — | 5 | 2 | no | — |
| 545 | C4×Q16 | — | 5 | 2 | no | — |
| 546 | C4×Q16 | — | 5 | 2 | no | — |
| 547 | C4×Q16 | — | 5 | 2 | no | — |
| 548 | C4×Q16 | — | 5 | 2 | no | — |
| 549 | C4×Q16 | — | 5 | 2 | no | — |
| 550 | #428 | — | 5 | 1 | no | — |
| 551 | #428 | — | 5 | 1 | no | — |
| 552 | #428 | — | 5 | 1 | no | — |
| 553 | #428 | C2×D5 | 1 | 1 | yes | characteristic |
| 554 | #427 | — | 5 | 1 | no | — |
| 555 | #427 | — | 5 | 1 | no | — |
| 556 | #427 | — | 5 | 1 | no | — |
| 557 | #427 | C2×D5 | 1 | 1 | yes | characteristic |
| 558 | C2×#107 | — | 5 | 1 | no | — |
| 559 | #424 | — | 5 | 1 | no | — |
| 560 | #424 | C2×D5 | 1 | 1 | yes | characteristic |
| 561 | #423 | — | 5 | 1 | no | — |
| 562 | #419 | — | 5 | 1 | no | — |
| 563 | #419 | — | 5 | 1 | no | — |
| 564 | #419 | — | 5 | 1 | no | — |
| 565 | #419 | C2×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×#103 | — | 5 | 1 | no | — |
| 567 | C2×#103 | C2×D5 | 1 | 1 | yes | characteristic |
| 568 | #405 | — | 5 | 1 | no | — |
| 569 | #405 | — | 5 | 1 | no | — |
| 570 | C2×C4×C8 | — | 5 | 1 | no | — |
| 571 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 572 | C5×Q8 | — | 2 | 4 | no | — |
| 573 | C5×Q8 | — | 2 | 2 | no | — |
| 574 | C5×Q8 | — | 8 | 2 | no | — |
| 575 | C5×Q8 | C22×Q8 | 1 | 4 | yes | — |
| 576 | C2×C4×C5 | — | 2 | 4 | no | — |
| 577 | C2×C4×C5 | — | 2 | 2 | no | — |
| 578 | C2×C4×C5 | — | 2 | 1 | no | — |
| 579 | C2×C4×C5 | — | 2 | 1 | no | — |
| 580 | C2×C4×C5 | — | 2 | 2 | no | — |
| 581 | C2×C4×C5 | — | 2 | 1 | no | — |
| 582 | C2×C4×C5 | — | 2 | 1 | no | — |
| 583 | C2×C4×C5 | — | 8 | 1 | no | — |
| 584 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 585 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 586 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 587 | C2×C4×C5 | C22×Q8 | 1 | 2 | yes | — |
| 588 | C2×C4×C5 | 2−1+4 | 1 | 2 | yes | — |
| 589 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 590 | C2×Dic5 | — | 2 | 4 | no | — |
| 591 | C2×Dic5 | — | 2 | 2 | no | — |
| 592 | C2×Dic5 | — | 2 | 2 | no | — |
| 593 | C2×Dic5 | — | 2 | 1 | no | — |
| 594 | C2×Dic5 | — | 2 | 1 | no | — |
| 595 | C2×Dic5 | — | 2 | 1 | no | — |
| 596 | C2×Dic5 | — | 2 | 1 | no | — |
| 597 | C2×Dic5 | — | 2 | 2 | no | — |
| 598 | C2×Dic5 | — | 4 | 1 | no | — |
| 599 | C2×Dic5 | — | 8 | 1 | no | — |
| 600 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 601 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 602 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 603 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 604 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 605 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 606 | Dic10 | — | 2 | 4 | no | — |
| 607 | Dic10 | — | 2 | 2 | no | — |
| 608 | Dic10 | — | 2 | 4 | no | — |
| 609 | Dic10 | — | 4 | 2 | no | — |
| 610 | Dic10 | — | 4 | 2 | no | — |
| 611 | Dic10 | — | 4 | 2 | no | — |
| 612 | Dic10 | — | 8 | 2 | no | — |
| 613 | Dic10 | — | 8 | 2 | no | — |
| 614 | Dic10 | — | 8 | 1 | no | — |
| 615 | Dic10 | — | 8 | 1 | no | — |
| 616 | Dic10 | — | 8 | 2 | no | — |
| 617 | Dic10 | C22×Q8 | 1 | 4 | yes | — |
| 618 | C5×C8 | — | 2 | 1 | no | — |
| 619 | C5×C8 | — | 2 | 1 | no | — |
| 620 | C5×C8 | — | 2 | 2 | no | — |
| 621 | #168 | — | 2 | 2 | no | — |
| 622 | #168 | C22×Q8 | 1 | 2 | yes | — |
| 623 | #168 | C22×Q8 | 1 | 2 | yes | — |
| 624 | C22×Q8 | — | 5 | 1 | no | — |
| 625 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 626 | C2×Q16 | — | 5 | 8 | no | — |
| 627 | C2×Q16 | — | 5 | 2 | no | — |
| 628 | C2×Q16 | — | 5 | 2 | no | — |
| 629 | C2×M16 | — | 5 | 1 | no | — |
| 630 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 631 | C22×C8 | — | 5 | 1 | no | — |
| 632 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 633 | C4⋊Q8 | — | 2 | 1 | no | — |
| 634 | C4⋊Q8 | — | 5 | 1 | no | — |
| 635 | C4⋊Q8 | — | 5 | 1 | no | — |
| 636 | C4⋊Q8 | — | 5 | 1 | no | — |
| 637 | C4⋊Q8 | — | 5 | 1 | no | — |
| 638 | C4⋊Q8 | — | 5 | 1 | no | — |
| 639 | C4⋊Q8 | — | 5 | 1 | no | — |
| 640 | C4⋊Q8 | — | 5 | 2 | no | — |
| 641 | C4⋊Q8 | — | 5 | 2 | no | — |
| 642 | C4⋊Q8 | — | 5 | 2 | no | — |
| 643 | C4⋊Q8 | — | 10 | 1 | no | — |
| 644 | C4⋊Q8 | — | 10 | 2 | no | — |
| 645 | C4⋊Q8 | — | 10 | 2 | no | — |
| 646 | C4⋊Q8 | — | 10 | 2 | no | — |
| 647 | C4⋊Q8 | — | 10 | 1 | no | — |
| 648 | C4⋊Q8 | — | 10 | 2 | no | — |
| 649 | C4⋊Q8 | — | 10 | 2 | no | — |
| 650 | C4⋊Q8 | — | 10 | 2 | no | — |
| 651 | C4⋊Q8 | — | 10 | 2 | no | — |
| 652 | C4⋊Q8 | — | 10 | 2 | no | — |
| 653 | C4⋊Q8 | — | 10 | 2 | no | — |
| 654 | C4⋊Q8 | — | 10 | 2 | no | — |
| 655 | C4⋊Q8 | — | 10 | 2 | no | — |
| 656 | C4⋊Q8 | — | 10 | 2 | no | — |
| 657 | C4⋊Q8 | — | 10 | 1 | no | — |
| 658 | C4⋊Q8 | C22×D5 | 1 | 2 | yes | — |
| 659 | #125 | — | 2 | 1 | no | — |
| 660 | #125 | — | 5 | 1 | no | — |
| 661 | #125 | — | 5 | 1 | no | — |
| 662 | #125 | — | 5 | 1 | no | — |
| 663 | #125 | — | 5 | 1 | no | — |
| 664 | #125 | — | 5 | 1 | no | — |
| 665 | #125 | — | 5 | 1 | no | — |
| 666 | #125 | — | 5 | 2 | no | — |
| 667 | #125 | — | 5 | 2 | no | — |
| 668 | #125 | — | 5 | 2 | no | — |
| 669 | #125 | — | 10 | 1 | no | — |
| 670 | #125 | — | 10 | 2 | no | — |
| 671 | #125 | — | 10 | 2 | no | — |
| 672 | #125 | — | 10 | 2 | no | — |
| 673 | #125 | — | 10 | 2 | no | — |
| 674 | #125 | — | 10 | 2 | no | — |
| 675 | #125 | — | 10 | 2 | no | — |
| 676 | #125 | — | 10 | 1 | no | — |
| 677 | #125 | — | 10 | 2 | no | — |
| 678 | #125 | — | 10 | 2 | no | — |
| 679 | #125 | — | 10 | 2 | no | — |
| 680 | #125 | — | 10 | 2 | no | — |
| 681 | #125 | — | 10 | 2 | no | — |
| 682 | #125 | — | 10 | 2 | no | — |
| 683 | #125 | — | 10 | 1 | no | — |
| 684 | #125 | C22×D5 | 1 | 2 | yes | — |
| 685 | C22⋊Q8 | — | 2 | 2 | no | — |
| 686 | C22⋊Q8 | — | 5 | 2 | no | — |
| 687 | C22⋊Q8 | — | 5 | 2 | no | — |
| 688 | C22⋊Q8 | — | 10 | 2 | no | — |
| 689 | C22⋊Q8 | — | 10 | 1 | no | — |
| 690 | C22⋊Q8 | — | 10 | 1 | no | — |
| 691 | C22⋊Q8 | — | 10 | 1 | no | — |
| 692 | C22⋊Q8 | — | 10 | 1 | no | — |
| 693 | C22⋊Q8 | — | 10 | 2 | no | — |
| 694 | C22⋊Q8 | — | 10 | 2 | no | — |
| 695 | C4×Q8 | — | 2 | 1 | no | — |
| 696 | C4×Q8 | — | 2 | 1 | no | — |
| 697 | C4×Q8 | — | 5 | 2 | no | — |
| 698 | C4×Q8 | — | 5 | 2 | no | — |
| 699 | C4×Q8 | — | 5 | 2 | no | — |
| 700 | C4×Q8 | — | 5 | 2 | no | — |
| 701 | C4×Q8 | — | 5 | 2 | no | — |
| 702 | C4×Q8 | — | 5 | 2 | no | — |
| 703 | C4×Q8 | — | 5 | 2 | no | — |
| 704 | C4×Q8 | — | 5 | 2 | no | — |
| 705 | C4×Q8 | — | 5 | 2 | no | — |
| 706 | C4×Q8 | — | 5 | 2 | no | — |
| 707 | C4×Q8 | — | 5 | 2 | no | — |
| 708 | C4×Q8 | — | 5 | 2 | no | — |
| 709 | C4×Q8 | — | 10 | 1 | no | — |
| 710 | C4×Q8 | — | 10 | 1 | no | — |
| 711 | C4×Q8 | — | 10 | 1 | no | — |
| 712 | C4×Q8 | — | 10 | 1 | no | — |
| 713 | C4×Q8 | — | 10 | 1 | no | — |
| 714 | C4×Q8 | — | 10 | 1 | no | — |
| 715 | C4×Q8 | — | 10 | 2 | no | — |
| 716 | C4×Q8 | — | 10 | 2 | no | — |
| 717 | C4×Q8 | — | 10 | 2 | no | — |
| 718 | C4×Q8 | — | 10 | 2 | no | — |
| 719 | C4×Q8 | — | 10 | 1 | no | — |
| 720 | C4×Q8 | — | 10 | 1 | no | — |
| 721 | C4×Q8 | — | 10 | 1 | no | — |
| 722 | C4×Q8 | — | 10 | 1 | no | — |
| 723 | C4×Q8 | — | 10 | 2 | no | — |
| 724 | C4×Q8 | — | 10 | 2 | no | — |
| 725 | C4×Q8 | — | 10 | 2 | no | — |
| 726 | C4×Q8 | — | 10 | 1 | no | — |
| 727 | C4×Q8 | — | 10 | 1 | no | — |
| 728 | C4×Q8 | — | 10 | 2 | no | — |
| 729 | C4×Q8 | — | 10 | 1 | no | — |
| 730 | C4×Q8 | — | 10 | 1 | no | — |
| 731 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 732 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 733 | #117 | — | 2 | 2 | no | — |
| 734 | #117 | — | 5 | 1 | no | — |
| 735 | #117 | — | 5 | 1 | no | — |
| 736 | #117 | — | 5 | 1 | no | — |
| 737 | #117 | — | 10 | 2 | no | — |
| 738 | #117 | — | 10 | 2 | no | — |
| 739 | #117 | — | 10 | 2 | no | — |
| 740 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 741 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 742 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 743 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 744 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 745 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 746 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 747 | C2×C42 | — | 5 | 1 | no | — |
| 748 | C2×C42 | — | 10 | 1 | no | — |
| 749 | C2×C42 | — | 10 | 1 | no | — |
| 750 | #107 | — | 5 | 1 | no | — |
| 751 | #107 | — | 5 | 1 | no | — |
| 752 | #107 | — | 5 | 2 | no | — |
| 753 | #107 | — | 5 | 2 | no | — |
| 754 | #107 | — | 5 | 2 | no | — |
| 755 | #107 | — | 5 | 1 | no | — |
| 756 | #107 | — | 5 | 1 | no | — |
| 757 | #107 | — | 5 | 1 | no | — |
| 758 | #107 | — | 5 | 1 | no | — |
| 759 | #107 | — | 5 | 2 | no | — |
| 760 | #107 | — | 5 | 2 | no | — |
| 761 | #107 | C22×D5 | 1 | 1 | yes | characteristic |
| 762 | #107 | C22×D5 | 1 | 1 | yes | characteristic |
| 763 | #107 | C22×D5 | 1 | 2 | yes | — |
| 764 | #106 | — | 5 | 1 | no | — |
| 765 | #106 | — | 5 | 1 | no | — |
| 766 | #106 | — | 5 | 2 | no | — |
| 767 | #106 | — | 5 | 1 | no | — |
| 768 | #106 | — | 5 | 1 | no | — |
| 769 | #106 | — | 5 | 1 | no | — |
| 770 | #106 | — | 5 | 1 | no | — |
| 771 | #106 | — | 5 | 2 | no | — |
| 772 | #106 | — | 5 | 2 | no | — |
| 773 | #106 | C22×D5 | 1 | 1 | yes | characteristic |
| 774 | #106 | C22×D5 | 1 | 1 | yes | characteristic |
| 775 | #106 | C22×D5 | 1 | 2 | yes | — |
| 776 | C4⋊C8 | — | 5 | 2 | no | — |
| 777 | C4⋊C8 | — | 5 | 2 | no | — |
| 778 | C4⋊C8 | — | 5 | 2 | no | — |
| 779 | C4⋊C8 | — | 5 | 2 | no | — |
| 780 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 781 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 782 | #103 | — | 5 | 2 | no | — |
| 783 | #103 | — | 5 | 2 | no | — |
| 784 | #103 | — | 5 | 2 | no | — |
| 785 | #103 | — | 5 | 2 | no | — |
| 786 | #103 | — | 5 | 2 | no | — |
| 787 | #103 | — | 5 | 2 | no | — |
| 788 | #103 | — | 5 | 2 | no | — |
| 789 | #103 | — | 5 | 2 | no | — |
| 790 | #103 | C22×D5 | 1 | 2 | yes | — |
| 791 | #103 | C22×D5 | 1 | 2 | yes | — |
| 792 | #103 | C22×D5 | 1 | 2 | yes | — |
| 793 | #103 | C22×D5 | 1 | 2 | yes | — |
| 794 | #97 | — | 5 | 2 | no | — |
| 795 | #97 | — | 5 | 2 | no | — |
| 796 | C4×C8 | — | 5 | 1 | no | — |
| 797 | C4×C8 | — | 5 | 1 | no | — |
| 798 | C4×C8 | — | 5 | 1 | no | — |
| 799 | C4×C8 | — | 5 | 1 | no | — |
| 800 | C4×C8 | — | 5 | 2 | no | — |
| 801 | C4×C8 | — | 5 | 2 | no | — |
| 802 | C22×C5 | — | 2 | 1 | no | — |
| 803 | C22×C5 | — | 2 | 1 | no | — |
| 804 | C22×C5 | D4×Q8 | 1 | 2 | yes | — |
| 805 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 806 | C4×C5 | — | 2 | 2 | no | — |
| 807 | C4×C5 | — | 2 | 4 | no | — |
| 808 | C4×C5 | — | 2 | 2 | no | — |
| 809 | C4×C5 | — | 4 | 1 | no | — |
| 810 | C4×C5 | — | 4 | 2 | no | — |
| 811 | C4×C5 | — | 4 | 1 | no | — |
| 812 | C4×C5 | — | 4 | 1 | no | — |
| 813 | C4×C5 | — | 4 | 1 | no | — |
| 814 | C4×C5 | D4×Q8 | 1 | 2 | yes | — |
| 815 | C4×C5 | C23×Q8 | 1 | 1 | yes | characteristic |
| 816 | C4×C5 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 817 | Dic5 | — | 2 | 1 | no | — |
| 818 | Dic5 | — | 2 | 2 | no | — |
| 819 | Dic5 | — | 2 | 1 | no | — |
| 820 | Dic5 | — | 2 | 4 | no | — |
| 821 | Dic5 | — | 2 | 2 | no | — |
| 822 | Dic5 | — | 2 | 1 | no | — |
| 823 | Dic5 | — | 4 | 1 | no | — |
| 824 | Dic5 | — | 4 | 1 | no | — |
| 825 | Dic5 | — | 4 | 2 | no | — |
| 826 | Dic5 | — | 4 | 1 | no | — |
| 827 | Dic5 | — | 4 | 1 | no | — |
| 828 | Dic5 | #578 | 1 | 2 | yes | — |
| 829 | C2×Q8 | — | 2 | 1 | no | — |
| 830 | C2×Q8 | — | 2 | 2 | no | — |
| 831 | C2×Q8 | — | 2 | 2 | no | — |
| 832 | C2×Q8 | — | 5 | 2 | no | — |
| 833 | C2×Q8 | — | 5 | 2 | no | — |
| 834 | C2×Q8 | — | 5 | 4 | no | — |
| 835 | C2×Q8 | — | 5 | 2 | no | — |
| 836 | C2×Q8 | — | 10 | 1 | no | — |
| 837 | C2×Q8 | — | 10 | 1 | no | — |
| 838 | C2×Q8 | — | 10 | 1 | no | — |
| 839 | C2×Q8 | — | 10 | 2 | no | — |
| 840 | C2×Q8 | — | 10 | 1 | no | — |
| 841 | C2×Q8 | — | 10 | 2 | no | — |
| 842 | C2×Q8 | — | 10 | 1 | no | — |
| 843 | C2×Q8 | — | 10 | 2 | no | — |
| 844 | C2×Q8 | — | 10 | 2 | no | — |
| 845 | C2×Q8 | Q8×D5 | 1 | 4 | yes | — |
| 846 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 847 | C22×C4 | — | 2 | 1 | no | — |
| 848 | C22×C4 | — | 2 | 1 | no | — |
| 849 | C22×C4 | — | 5 | 1 | no | — |
| 850 | C22×C4 | — | 5 | 1 | no | — |
| 851 | C22×C4 | — | 10 | 1 | no | — |
| 852 | C22×C4 | — | 10 | 1 | no | — |
| 853 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 854 | Q16 | — | 5 | 8 | no | — |
| 855 | Q16 | — | 5 | 8 | no | — |
| 856 | M16 | — | 2 | 2 | no | — |
| 857 | M16 | — | 10 | 2 | no | — |
| 858 | C2×C8 | — | 2 | 2 | no | — |
| 859 | C2×C8 | — | 5 | 4 | no | — |
| 860 | C2×C8 | — | 5 | 1 | no | — |
| 861 | C2×C8 | — | 5 | 1 | no | — |
| 862 | C2×C8 | — | 5 | 2 | no | — |
| 863 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 864 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 865 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 866 | C4⋊C4 | — | 2 | 1 | no | — |
| 867 | C4⋊C4 | — | 2 | 2 | no | — |
| 868 | C4⋊C4 | — | 2 | 2 | no | — |
| 869 | C4⋊C4 | — | 2 | 2 | no | — |
| 870 | C4⋊C4 | — | 2 | 2 | no | — |
| 871 | C4⋊C4 | — | 2 | 2 | no | — |
| 872 | C4⋊C4 | — | 5 | 1 | no | — |
| 873 | C4⋊C4 | — | 5 | 1 | no | — |
| 874 | C4⋊C4 | — | 5 | 2 | no | — |
| 875 | C4⋊C4 | — | 5 | 2 | no | — |
| 876 | C4⋊C4 | — | 5 | 2 | no | — |
| 877 | C4⋊C4 | — | 5 | 2 | no | — |
| 878 | C4⋊C4 | — | 5 | 2 | no | — |
| 879 | C4⋊C4 | — | 5 | 2 | no | — |
| 880 | C4⋊C4 | — | 5 | 1 | no | — |
| 881 | C4⋊C4 | — | 5 | 1 | no | — |
| 882 | C4⋊C4 | — | 5 | 2 | no | — |
| 883 | C4⋊C4 | — | 5 | 1 | no | — |
| 884 | C4⋊C4 | — | 5 | 1 | no | — |
| 885 | C4⋊C4 | — | 10 | 2 | no | — |
| 886 | C4⋊C4 | — | 10 | 2 | no | — |
| 887 | C4⋊C4 | — | 10 | 2 | no | — |
| 888 | C4⋊C4 | — | 10 | 2 | no | — |
| 889 | C4⋊C4 | — | 10 | 2 | no | — |
| 890 | C4⋊C4 | — | 10 | 2 | no | — |
| 891 | C4⋊C4 | — | 10 | 2 | no | — |
| 892 | C4⋊C4 | — | 10 | 2 | no | — |
| 893 | C4⋊C4 | — | 10 | 1 | no | — |
| 894 | C4⋊C4 | — | 10 | 1 | no | — |
| 895 | C4⋊C4 | — | 10 | 1 | no | — |
| 896 | C4⋊C4 | — | 10 | 1 | no | — |
| 897 | C4⋊C4 | — | 10 | 1 | no | — |
| 898 | C4⋊C4 | — | 10 | 1 | no | — |
| 899 | C4⋊C4 | — | 10 | 2 | no | — |
| 900 | C4⋊C4 | — | 10 | 2 | no | — |
| 901 | C4⋊C4 | — | 10 | 1 | no | — |
| 902 | C4⋊C4 | — | 10 | 1 | no | — |
| 903 | C4⋊C4 | — | 10 | 2 | no | — |
| 904 | C4⋊C4 | — | 10 | 1 | no | — |
| 905 | C4⋊C4 | — | 10 | 2 | no | — |
| 906 | C4⋊C4 | — | 10 | 1 | no | — |
| 907 | C4⋊C4 | — | 10 | 1 | no | — |
| 908 | C4⋊C4 | — | 10 | 1 | no | — |
| 909 | C4⋊C4 | — | 10 | 2 | no | — |
| 910 | C4⋊C4 | — | 10 | 2 | no | — |
| 911 | C4⋊C4 | — | 10 | 1 | no | — |
| 912 | C4⋊C4 | — | 10 | 2 | no | — |
| 913 | C4⋊C4 | — | 10 | 2 | no | — |
| 914 | C4⋊C4 | — | 10 | 2 | no | — |
| 915 | C4⋊C4 | — | 10 | 2 | no | — |
| 916 | C4⋊C4 | — | 10 | 2 | no | — |
| 917 | C4⋊C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 918 | C4⋊C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 919 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 920 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 921 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 922 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 923 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 924 | C22⋊C4 | — | 2 | 1 | no | — |
| 925 | C22⋊C4 | — | 2 | 1 | no | — |
| 926 | C22⋊C4 | — | 5 | 2 | no | — |
| 927 | C22⋊C4 | — | 10 | 1 | no | — |
| 928 | C22⋊C4 | — | 10 | 1 | no | — |
| 929 | C22⋊C4 | D4×D5 | 1 | 2 | yes | — |
| 930 | C42 | — | 2 | 2 | no | — |
| 931 | C42 | — | 2 | 2 | no | — |
| 932 | C42 | — | 2 | 1 | no | — |
| 933 | C42 | — | 2 | 1 | no | — |
| 934 | C42 | — | 5 | 1 | no | — |
| 935 | C42 | — | 5 | 1 | no | — |
| 936 | C42 | — | 5 | 1 | no | — |
| 937 | C42 | — | 5 | 1 | no | — |
| 938 | C42 | — | 5 | 2 | no | — |
| 939 | C42 | — | 10 | 2 | no | — |
| 940 | C42 | — | 10 | 2 | no | — |
| 941 | C42 | — | 10 | 2 | no | — |
| 942 | C42 | — | 10 | 2 | no | — |
| 943 | C42 | — | 10 | 2 | no | — |
| 944 | C42 | — | 10 | 2 | no | — |
| 945 | C42 | — | 10 | 2 | no | — |
| 946 | C42 | — | 10 | 2 | no | — |
| 947 | C42 | — | 10 | 1 | no | — |
| 948 | C42 | — | 10 | 1 | no | — |
| 949 | C42 | — | 10 | 2 | no | — |
| 950 | C42 | — | 10 | 2 | no | — |
| 951 | C42 | C23×D5 | 1 | 2 | yes | — |
| 952 | C2×C5 | — | 2 | 2 | no | — |
| 953 | C2×C5 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 954 | C2×C5 | C2×#578 | 1 | 1 | yes | characteristic |
| 955 | C2×C5 | #3584 | 1 | 1 | yes | characteristic |
| 956 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 957 | Q8 | — | 2 | 4 | no | — |
| 958 | Q8 | — | 2 | 2 | no | — |
| 959 | Q8 | — | 5 | 4 | no | — |
| 960 | Q8 | — | 8 | 2 | no | — |
| 961 | Q8 | — | 10 | 4 | no | — |
| 962 | Q8 | — | 10 | 4 | no | — |
| 963 | Q8 | — | 10 | 2 | no | — |
| 964 | Q8 | — | 20 | 2 | no | — |
| 965 | Q8 | — | 20 | 2 | no | — |
| 966 | Q8 | — | 20 | 2 | no | — |
| 967 | Q8 | — | 40 | 2 | no | — |
| 968 | Q8 | — | 40 | 2 | no | — |
| 969 | Q8 | — | 40 | 1 | no | — |
| 970 | Q8 | — | 40 | 1 | no | — |
| 971 | Q8 | — | 40 | 2 | no | — |
| 972 | Q8 | C2×Q8×D5 | 1 | 4 | yes | — |
| 973 | C2×C4 | — | 2 | 4 | no | — |
| 974 | C2×C4 | — | 2 | 2 | no | — |
| 975 | C2×C4 | — | 2 | 1 | no | — |
| 976 | C2×C4 | — | 2 | 1 | no | — |
| 977 | C2×C4 | — | 2 | 1 | no | — |
| 978 | C2×C4 | — | 2 | 1 | no | — |
| 979 | C2×C4 | — | 2 | 2 | no | — |
| 980 | C2×C4 | — | 5 | 1 | no | — |
| 981 | C2×C4 | — | 5 | 1 | no | — |
| 982 | C2×C4 | — | 5 | 1 | no | — |
| 983 | C2×C4 | — | 5 | 1 | no | — |
| 984 | C2×C4 | — | 5 | 2 | no | — |
| 985 | C2×C4 | — | 5 | 2 | no | — |
| 986 | C2×C4 | — | 8 | 1 | no | — |
| 987 | C2×C4 | — | 10 | 2 | no | — |
| 988 | C2×C4 | — | 10 | 4 | no | — |
| 989 | C2×C4 | — | 10 | 2 | no | — |
| 990 | C2×C4 | — | 10 | 1 | no | — |
| 991 | C2×C4 | — | 10 | 1 | no | — |
| 992 | C2×C4 | — | 10 | 1 | no | — |
| 993 | C2×C4 | — | 10 | 1 | no | — |
| 994 | C2×C4 | — | 10 | 2 | no | — |
| 995 | C2×C4 | — | 20 | 1 | no | — |
| 996 | C2×C4 | — | 40 | 1 | no | — |
| 997 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 998 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 999 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 1000 | C2×C4 | C2×Q8×D5 | 1 | 2 | yes | — |
| 1001 | C2×C4 | #4150 | 1 | 2 | yes | — |
| 1002 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 1003 | C8 | — | 2 | 1 | no | — |
| 1004 | C8 | — | 2 | 1 | no | — |
| 1005 | C8 | — | 2 | 2 | no | — |
| 1006 | C8 | — | 5 | 2 | no | — |
| 1007 | C8 | — | 5 | 2 | no | — |
| 1008 | C8 | — | 10 | 2 | no | — |
| 1009 | C5 | #61372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1010 | C22 | — | 2 | 1 | no | — |
| 1011 | C22 | — | 2 | 1 | no | — |
| 1012 | C22 | #65966 | 1 | 2 | yes | — |
| 1013 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 1014 | C4 | — | 2 | 4 | no | — |
| 1015 | C4 | — | 2 | 2 | no | — |
| 1016 | C4 | — | 2 | 2 | no | — |
| 1017 | C4 | — | 4 | 2 | no | — |
| 1018 | C4 | — | 4 | 1 | no | — |
| 1019 | C4 | — | 4 | 1 | no | — |
| 1020 | C4 | — | 4 | 1 | no | — |
| 1021 | C4 | — | 4 | 1 | no | — |
| 1022 | C4 | — | 5 | 2 | no | — |
| 1023 | C4 | — | 10 | 4 | no | — |
| 1024 | C4 | — | 10 | 1 | no | — |
| 1025 | C4 | — | 10 | 1 | no | — |
| 1026 | C4 | — | 10 | 2 | no | — |
| 1027 | C4 | — | 10 | 1 | no | — |
| 1028 | C4 | — | 10 | 2 | no | — |
| 1029 | C4 | — | 20 | 2 | no | — |
| 1030 | C4 | — | 20 | 1 | no | — |
| 1031 | C4 | — | 20 | 1 | no | — |
| 1032 | C4 | — | 20 | 1 | no | — |
| 1033 | C4 | — | 20 | 1 | no | — |
| 1034 | C4 | #65966 | 1 | 2 | yes | — |
| 1035 | C4 | C22×Q8×D5 | 1 | 1 | yes | characteristic |
| 1036 | C4 | C2×#4150 | 1 | 1 | yes | characteristic |
| 1037 | C2 | — | 2 | 2 | no | — |
| 1038 | C2 | C2×#65966 | 1 | 1 | yes | characteristic |
| 1039 | C2 | #10619107 | 1 | 1 | yes | characteristic |
| 1040 | C2 | D5×#578 | 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