← #72323172
Subgroups — #72323172
Order 4096.
2312 conjugacy classes of subgroups.
The subgroup lattice has 904 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72323170 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72323168 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72323167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72323155 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72321739 | — | 2 | 1 | no | — |
| 6 | #72321735 | — | 2 | 2 | no | — |
| 7 | #72320337 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72320319 | C4 | 1 | 1 | yes | characteristic |
| 9 | #72320313 | — | 2 | 1 | no | — |
| 10 | #72320305 | C4 | 1 | 1 | yes | characteristic |
| 11 | #72320299 | — | 2 | 1 | no | — |
| 12 | #72320271 | — | 2 | 2 | no | — |
| 13 | #72320271 | C4 | 1 | 2 | yes | — |
| 14 | #72320266 | — | 2 | 1 | no | — |
| 15 | #72320266 | C4 | 1 | 4 | yes | — |
| 16 | C2×#72224654 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | C2×#151086 | — | 2 | 2 | no | — |
| 18 | C2×#151086 | C22 | 1 | 2 | yes | — |
| 19 | C2×#94509 | C22 | 1 | 2 | yes | complemented |
| 20 | #72234379 | — | 2 | 1 | no | — |
| 21 | #72231933 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #72231932 | C22 | 1 | 2 | yes | complemented |
| 23 | #72231931 | — | 2 | 1 | no | — |
| 24 | #72231929 | — | 2 | 1 | no | — |
| 25 | #72231925 | — | 2 | 2 | no | — |
| 26 | #72231924 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#93877 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #72231854 | C22 | 1 | 1 | yes | characteristic |
| 29 | #72225405 | C22 | 1 | 4 | yes | complemented |
| 30 | #72225310 | — | 2 | 1 | no | — |
| 31 | #72225310 | C22 | 1 | 4 | yes | — |
| 32 | #72225212 | C22 | 1 | 2 | yes | complemented |
| 33 | #72224654 | C22 | 1 | 4 | yes | complemented |
| 34 | #72224654 | C22 | 1 | 4 | yes | complemented |
| 35 | #72224654 | C22 | 1 | 8 | yes | complemented |
| 36 | #7625194 | C8 | 1 | 1 | yes | characteristic |
| 37 | #7622627 | — | 2 | 1 | no | — |
| 38 | #7622587 | — | 4 | 1 | no | — |
| 39 | #512775 | — | 2 | 2 | no | — |
| 40 | #512775 | C8 | 1 | 2 | yes | — |
| 41 | #512774 | — | 2 | 1 | no | — |
| 42 | #512774 | C8 | 1 | 4 | yes | — |
| 43 | #512773 | — | 2 | 1 | no | — |
| 44 | #512773 | C2×C4 | 1 | 4 | yes | — |
| 45 | C2×#13656 | — | 2 | 2 | no | — |
| 46 | C2×#13656 | C2×C4 | 1 | 2 | yes | — |
| 47 | #512721 | C8 | 1 | 1 | yes | characteristic |
| 48 | #512695 | — | 2 | 1 | no | — |
| 49 | #512545 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | #512545 | D4 | 1 | 1 | yes | characteristic |
| 51 | #483513 | — | 2 | 2 | no | — |
| 52 | #483513 | — | 2 | 4 | no | — |
| 53 | #483512 | — | 4 | 1 | no | — |
| 54 | #483512 | — | 4 | 2 | no | — |
| 55 | #483511 | — | 4 | 2 | no | — |
| 56 | #483511 | — | 4 | 1 | no | — |
| 57 | C2×#12047 | — | 2 | 2 | no | — |
| 58 | C2×#12047 | — | 2 | 4 | no | — |
| 59 | #483377 | — | 4 | 1 | no | — |
| 60 | #483342 | — | 2 | 1 | no | — |
| 61 | #481070 | — | 4 | 1 | no | — |
| 62 | #479899 | D4 | 1 | 1 | yes | characteristic |
| 63 | #153583 | — | 2 | 4 | no | — |
| 64 | #153582 | — | 2 | 4 | no | — |
| 65 | #153570 | — | 2 | 2 | no | — |
| 66 | #153430 | — | 2 | 2 | no | — |
| 67 | C2×#7511 | — | 2 | 2 | no | — |
| 68 | #151086 | — | 2 | 4 | no | — |
| 69 | #151086 | — | 2 | 4 | no | — |
| 70 | #151086 | — | 2 | 4 | no | — |
| 71 | #151086 | — | 2 | 4 | no | — |
| 72 | #151086 | — | 2 | 2 | no | — |
| 73 | #151086 | — | 2 | 4 | no | — |
| 74 | #151086 | — | 2 | 2 | no | — |
| 75 | #151086 | C2×C4 | 1 | 4 | yes | — |
| 76 | #151086 | C2×C4 | 1 | 8 | yes | — |
| 77 | #151086 | C23 | 1 | 4 | yes | — |
| 78 | #151040 | — | 2 | 1 | no | — |
| 79 | #151040 | C2×C4 | 1 | 4 | yes | — |
| 80 | C2×#7464 | — | 2 | 2 | no | — |
| 81 | C2×#7464 | C2×C4 | 1 | 2 | yes | — |
| 82 | #150069 | — | 2 | 2 | no | — |
| 83 | #150069 | — | 2 | 4 | no | — |
| 84 | C2×#7388 | — | 2 | 4 | no | — |
| 85 | C2×#7388 | — | 2 | 2 | no | — |
| 86 | #149496 | C2×C4 | 1 | 2 | yes | — |
| 87 | #149496 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #149496 | D4 | 1 | 2 | yes | — |
| 89 | #149496 | D4 | 1 | 1 | yes | characteristic |
| 90 | #149495 | D4 | 1 | 1 | yes | characteristic |
| 91 | #149495 | C23 | 1 | 2 | yes | — |
| 92 | C2×#7330 | D4 | 1 | 2 | yes | — |
| 93 | C2×#7330 | C23 | 1 | 1 | yes | characteristic |
| 94 | #122923 | — | 4 | 2 | no | — |
| 95 | #122922 | — | 2 | 2 | no | — |
| 96 | #122921 | — | 2 | 2 | no | — |
| 97 | #122920 | — | 4 | 1 | no | — |
| 98 | #122919 | — | 2 | 1 | no | — |
| 99 | C2×#7099 | — | 2 | 1 | no | — |
| 100 | #94509 | — | 2 | 2 | no | — |
| 101 | #94509 | C23 | 1 | 4 | yes | — |
| 102 | #94506 | — | 2 | 4 | no | — |
| 103 | #93877 | — | 2 | 2 | no | — |
| 104 | #93877 | — | 2 | 1 | no | — |
| 105 | #93877 | — | 2 | 1 | no | — |
| 106 | #93877 | — | 2 | 2 | no | — |
| 107 | #93877 | C23 | 1 | 1 | yes | characteristic |
| 108 | #93877 | C23 | 1 | 2 | yes | — |
| 109 | #93877 | C23 | 1 | 1 | yes | characteristic |
| 110 | #62635 | — | 2 | 1 | no | — |
| 111 | #62624 | — | 8 | 1 | no | — |
| 112 | #60183 | — | 4 | 1 | no | — |
| 113 | #33984 | — | 2 | 2 | no | — |
| 114 | #33983 | — | 2 | 4 | no | — |
| 115 | #33982 | — | 2 | 2 | no | — |
| 116 | #33981 | — | 2 | 1 | no | — |
| 117 | #33981 | C2×C8 | 1 | 4 | yes | — |
| 118 | C2×#2262 | — | 2 | 2 | no | — |
| 119 | C2×#2262 | C2×C8 | 1 | 2 | yes | — |
| 120 | C2×#2258 | — | 2 | 1 | no | — |
| 121 | C2×#2258 | C2×C8 | 1 | 1 | yes | characteristic |
| 122 | C2×#2258 | M16 | 1 | 1 | yes | characteristic |
| 123 | #33503 | — | 8 | 1 | no | — |
| 124 | #33465 | — | 2 | 2 | no | — |
| 125 | #33465 | — | 2 | 4 | no | — |
| 126 | #33464 | — | 4 | 1 | no | — |
| 127 | #33464 | — | 4 | 2 | no | — |
| 128 | #33463 | — | 4 | 1 | no | — |
| 129 | #33463 | — | 4 | 2 | no | — |
| 130 | C2×#2178 | — | 2 | 4 | no | — |
| 131 | C2×#2178 | — | 2 | 2 | no | — |
| 132 | #33443 | — | 4 | 2 | no | — |
| 133 | #33443 | — | 4 | 4 | no | — |
| 134 | #33442 | — | 8 | 2 | no | — |
| 135 | #33442 | — | 8 | 1 | no | — |
| 136 | #33441 | — | 8 | 2 | no | — |
| 137 | #33441 | — | 8 | 1 | no | — |
| 138 | C2×#2170 | — | 4 | 2 | no | — |
| 139 | C2×#2170 | — | 4 | 4 | no | — |
| 140 | #33414 | — | 2 | 1 | no | — |
| 141 | #33401 | — | 4 | 1 | no | — |
| 142 | #33385 | — | 4 | 1 | no | — |
| 143 | #33340 | — | 8 | 1 | no | — |
| 144 | C4×#504 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | C4×#504 | SD16 | 1 | 1 | yes | characteristic |
| 146 | C8×#131 | D8 | 1 | 1 | yes | characteristic |
| 147 | C2×M128 | — | 2 | 4 | no | — |
| 148 | #13656 | — | 2 | 4 | no | — |
| 149 | #13656 | — | 2 | 4 | no | — |
| 150 | #13656 | — | 2 | 2 | no | — |
| 151 | #13656 | — | 2 | 4 | no | — |
| 152 | #13656 | — | 2 | 2 | no | — |
| 153 | #13656 | C2×C8 | 1 | 4 | yes | — |
| 154 | #13656 | C22×C4 | 1 | 4 | yes | — |
| 155 | #13655 | — | 2 | 4 | no | — |
| 156 | #13655 | — | 2 | 4 | no | — |
| 157 | #13655 | C2×C8 | 1 | 8 | yes | — |
| 158 | #13636 | — | 2 | 1 | no | — |
| 159 | #13636 | C2×C8 | 1 | 4 | yes | — |
| 160 | C2×#1425 | — | 2 | 2 | no | — |
| 161 | C2×#1425 | C2×C8 | 1 | 2 | yes | — |
| 162 | #13620 | — | 2 | 2 | no | — |
| 163 | #13620 | — | 2 | 4 | no | — |
| 164 | C2×#1417 | — | 2 | 4 | no | — |
| 165 | C2×#1417 | — | 2 | 2 | no | — |
| 166 | #13549 | — | 2 | 1 | no | — |
| 167 | #13549 | — | 2 | 2 | no | — |
| 168 | #13549 | C2×C8 | 1 | 2 | yes | — |
| 169 | #13549 | C2×C8 | 1 | 1 | yes | characteristic |
| 170 | #13549 | M16 | 1 | 2 | yes | — |
| 171 | #13549 | M16 | 1 | 1 | yes | characteristic |
| 172 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 173 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 174 | C4×M64 | C22×C4 | 1 | 2 | yes | — |
| 175 | C4×M64 | C2×D4 | 1 | 2 | yes | — |
| 176 | C2×#1397 | C22⋊C4 | 1 | 2 | yes | — |
| 177 | C2×#1397 | C22⋊C4 | 1 | 2 | yes | — |
| 178 | C2×#1397 | C22×C4 | 1 | 1 | yes | characteristic |
| 179 | C2×#1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | #12047 | — | 2 | 8 | no | — |
| 181 | #12047 | — | 2 | 4 | no | — |
| 182 | #12047 | — | 2 | 4 | no | — |
| 183 | #12047 | — | 4 | 2 | no | — |
| 184 | #12047 | — | 4 | 4 | no | — |
| 185 | #12047 | — | 4 | 2 | no | — |
| 186 | #12047 | — | 4 | 4 | no | — |
| 187 | #12046 | — | 4 | 4 | no | — |
| 188 | #12046 | — | 4 | 4 | no | — |
| 189 | #12046 | — | 4 | 4 | no | — |
| 190 | #12017 | — | 8 | 2 | no | — |
| 191 | #12015 | — | 8 | 1 | no | — |
| 192 | #12013 | — | 4 | 2 | no | — |
| 193 | #12012 | — | 4 | 1 | no | — |
| 194 | #12011 | — | 4 | 1 | no | — |
| 195 | #12011 | — | 4 | 2 | no | — |
| 196 | C2×#1373 | — | 2 | 2 | no | — |
| 197 | C2×#1373 | — | 2 | 4 | no | — |
| 198 | #11996 | — | 4 | 2 | no | — |
| 199 | C2×#1367 | — | 4 | 1 | no | — |
| 200 | #11602 | — | 4 | 2 | no | — |
| 201 | #11602 | — | 4 | 4 | no | — |
| 202 | C2×#1335 | — | 4 | 2 | no | — |
| 203 | C2×#1335 | — | 4 | 4 | no | — |
| 204 | #11399 | C22⋊C4 | 1 | 2 | yes | — |
| 205 | #11399 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 206 | #11399 | SD16 | 1 | 2 | yes | — |
| 207 | #11399 | SD16 | 1 | 1 | yes | characteristic |
| 208 | C8×M32 | D8 | 1 | 1 | yes | characteristic |
| 209 | C8×M32 | D8 | 1 | 2 | yes | — |
| 210 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×#1311 | C2×D4 | 1 | 2 | yes | — |
| 212 | #7544 | — | 2 | 8 | no | — |
| 213 | #7513 | — | 2 | 8 | no | — |
| 214 | #7511 | — | 2 | 4 | no | — |
| 215 | #7511 | — | 2 | 4 | no | — |
| 216 | #7464 | — | 2 | 4 | no | — |
| 217 | #7464 | — | 2 | 2 | no | — |
| 218 | #7464 | C22×C4 | 1 | 4 | yes | — |
| 219 | #7388 | — | 2 | 4 | no | — |
| 220 | #7388 | — | 2 | 8 | no | — |
| 221 | #7388 | — | 2 | 4 | no | — |
| 222 | #7330 | C22⋊C4 | 1 | 2 | yes | — |
| 223 | #7330 | C22⋊C4 | 1 | 2 | yes | — |
| 224 | #7330 | C22⋊C4 | 1 | 2 | yes | — |
| 225 | #7330 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | #7330 | C22×C4 | 1 | 2 | yes | — |
| 227 | #7330 | C2×D4 | 1 | 2 | yes | — |
| 228 | #7330 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | #7330 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | #7330 | C2×D4 | 1 | 2 | yes | — |
| 231 | #7330 | C24 | 1 | 1 | yes | characteristic |
| 232 | #7099 | — | 2 | 2 | no | — |
| 233 | #7099 | — | 2 | 1 | no | — |
| 234 | #7099 | — | 2 | 1 | no | — |
| 235 | #7099 | — | 4 | 1 | no | — |
| 236 | #7099 | — | 4 | 1 | no | — |
| 237 | #7099 | — | 4 | 2 | no | — |
| 238 | #7099 | — | 4 | 2 | no | — |
| 239 | #3584 | — | 4 | 1 | no | — |
| 240 | #3573 | — | 8 | 1 | no | — |
| 241 | #3417 | — | 2 | 4 | no | — |
| 242 | #3416 | — | 4 | 4 | no | — |
| 243 | #3415 | — | 2 | 4 | no | — |
| 244 | #3414 | — | 4 | 2 | no | — |
| 245 | #3414 | — | 4 | 1 | no | — |
| 246 | C2×#508 | — | 2 | 4 | no | — |
| 247 | C2×#508 | — | 2 | 2 | no | — |
| 248 | #3407 | — | 8 | 4 | no | — |
| 249 | #3407 | — | 8 | 2 | no | — |
| 250 | #3407 | — | 8 | 1 | no | — |
| 251 | #3407 | — | 16 | 4 | no | — |
| 252 | C2×#504 | — | 2 | 1 | no | — |
| 253 | C2×#504 | — | 8 | 4 | no | — |
| 254 | C2×#504 | — | 8 | 2 | no | — |
| 255 | C2×#504 | — | 16 | 4 | no | — |
| 256 | C2×#504 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 257 | C2×#504 | #104 | 1 | 1 | yes | characteristic |
| 258 | C8×#41 | — | 2 | 1 | no | — |
| 259 | #2957 | — | 4 | 2 | no | — |
| 260 | #2957 | — | 4 | 4 | no | — |
| 261 | #2956 | — | 8 | 2 | no | — |
| 262 | #2956 | — | 8 | 1 | no | — |
| 263 | #2955 | — | 8 | 2 | no | — |
| 264 | #2955 | — | 8 | 1 | no | — |
| 265 | C2×#443 | — | 4 | 4 | no | — |
| 266 | C2×#443 | — | 4 | 2 | no | — |
| 267 | #2916 | — | 4 | 1 | no | — |
| 268 | #2901 | — | 8 | 1 | no | — |
| 269 | C4×#131 | #102 | 1 | 1 | yes | characteristic |
| 270 | #2264 | — | 2 | 4 | no | — |
| 271 | #2264 | — | 2 | 8 | no | — |
| 272 | #2263 | — | 2 | 4 | no | — |
| 273 | #2263 | — | 2 | 8 | no | — |
| 274 | #2262 | — | 2 | 4 | no | — |
| 275 | #2262 | — | 2 | 4 | no | — |
| 276 | #2262 | — | 2 | 4 | no | — |
| 277 | #2262 | — | 2 | 2 | no | — |
| 278 | #2262 | — | 2 | 2 | no | — |
| 279 | #2262 | M32 | 1 | 4 | yes | complemented |
| 280 | #2262 | C22×C8 | 1 | 4 | yes | — |
| 281 | C2×Q64 | — | 2 | 2 | no | — |
| 282 | C2×Q64 | M32 | 1 | 2 | yes | complemented |
| 283 | C2×SD64 | — | 2 | 4 | no | — |
| 284 | C2×SD64 | — | 2 | 2 | no | — |
| 285 | C2×D32 | — | 2 | 2 | no | — |
| 286 | C2×D32 | M32 | 1 | 2 | yes | complemented |
| 287 | #2258 | — | 2 | 2 | no | — |
| 288 | #2258 | — | 2 | 2 | no | — |
| 289 | #2258 | — | 4 | 2 | no | — |
| 290 | #2258 | — | 4 | 4 | no | — |
| 291 | C2×M64 | — | 2 | 2 | no | — |
| 292 | C2×M64 | — | 2 | 1 | no | — |
| 293 | C2×M64 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 294 | C2×M64 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 295 | C2×M64 | C22×C8 | 1 | 2 | yes | — |
| 296 | C2×M64 | C2×M16 | 1 | 2 | yes | — |
| 297 | C22×C32 | — | 2 | 1 | no | — |
| 298 | C22×C32 | — | 2 | 2 | no | — |
| 299 | C22×C32 | C22⋊C8 | 1 | 2 | yes | — |
| 300 | C22×C32 | C22⋊C8 | 1 | 2 | yes | — |
| 301 | C22×C32 | C22×C8 | 1 | 1 | yes | characteristic |
| 302 | C22×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 303 | #2183 | — | 16 | 1 | no | — |
| 304 | #2179 | — | 4 | 4 | no | — |
| 305 | #2179 | — | 4 | 4 | no | — |
| 306 | #2179 | — | 4 | 4 | no | — |
| 307 | #2178 | — | 2 | 4 | no | — |
| 308 | #2178 | — | 2 | 4 | no | — |
| 309 | #2178 | — | 2 | 8 | no | — |
| 310 | #2178 | — | 4 | 4 | no | — |
| 311 | #2178 | — | 4 | 2 | no | — |
| 312 | #2178 | — | 4 | 4 | no | — |
| 313 | #2178 | — | 4 | 2 | no | — |
| 314 | #2171 | — | 8 | 4 | no | — |
| 315 | #2171 | — | 8 | 4 | no | — |
| 316 | #2171 | — | 8 | 4 | no | — |
| 317 | #2170 | — | 4 | 4 | no | — |
| 318 | #2170 | — | 4 | 8 | no | — |
| 319 | #2170 | — | 4 | 4 | no | — |
| 320 | #2170 | — | 8 | 2 | no | — |
| 321 | #2170 | — | 8 | 4 | no | — |
| 322 | #2170 | — | 8 | 2 | no | — |
| 323 | #2170 | — | 8 | 4 | no | — |
| 324 | #2169 | — | 16 | 1 | no | — |
| 325 | #2168 | — | 16 | 2 | no | — |
| 326 | #2163 | — | 8 | 2 | no | — |
| 327 | #2162 | — | 8 | 1 | no | — |
| 328 | #2161 | — | 4 | 1 | no | — |
| 329 | #2161 | — | 4 | 2 | no | — |
| 330 | C2×#368 | — | 2 | 4 | no | — |
| 331 | C2×#368 | — | 2 | 2 | no | — |
| 332 | #2153 | — | 8 | 2 | no | — |
| 333 | #2153 | — | 8 | 1 | no | — |
| 334 | C2×#364 | — | 4 | 2 | no | — |
| 335 | C2×#364 | — | 4 | 4 | no | — |
| 336 | #2150 | — | 8 | 2 | no | — |
| 337 | C2×C4⋊C16 | — | 8 | 1 | no | — |
| 338 | #2143 | — | 4 | 2 | no | — |
| 339 | #2143 | — | 4 | 4 | no | — |
| 340 | C2×#359 | — | 4 | 2 | no | — |
| 341 | C2×#359 | — | 4 | 4 | no | — |
| 342 | #2117 | — | 8 | 4 | no | — |
| 343 | #2117 | — | 8 | 2 | no | — |
| 344 | C2×#350 | — | 8 | 4 | no | — |
| 345 | C2×#350 | — | 8 | 2 | no | — |
| 346 | #2108 | — | 2 | 2 | no | — |
| 347 | #2108 | — | 2 | 1 | no | — |
| 348 | #2108 | C22⋊C8 | 1 | 2 | yes | — |
| 349 | #2108 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 350 | #2108 | #104 | 1 | 1 | yes | characteristic |
| 351 | #2108 | #104 | 1 | 2 | yes | — |
| 352 | C4×M32 | #102 | 1 | 1 | yes | characteristic |
| 353 | C4×M32 | #102 | 1 | 2 | yes | — |
| 354 | C4×M32 | #102 | 1 | 1 | yes | characteristic |
| 355 | C4×M32 | #102 | 1 | 2 | yes | — |
| 356 | C2×C4×C16 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 357 | C2×C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 359 | C2×C4×C16 | C2×SD16 | 1 | 2 | yes | — |
| 360 | #1450 | #102 | 1 | 2 | yes | — |
| 361 | #1450 | #102 | 1 | 1 | yes | characteristic |
| 362 | C8×M16 | — | 2 | 1 | no | — |
| 363 | C8×M16 | — | 2 | 2 | no | — |
| 364 | C2×C82 | C2×D8 | 1 | 1 | yes | characteristic |
| 365 | C2×C82 | C2×D8 | 1 | 2 | yes | — |
| 366 | M128 | — | 2 | 8 | no | — |
| 367 | M128 | — | 4 | 4 | no | — |
| 368 | C2×C64 | — | 4 | 4 | no | — |
| 369 | #1425 | — | 2 | 2 | no | — |
| 370 | #1425 | — | 2 | 4 | no | — |
| 371 | #1425 | C22×C8 | 1 | 4 | yes | — |
| 372 | #1417 | — | 2 | 4 | no | — |
| 373 | #1417 | — | 2 | 4 | no | — |
| 374 | #1417 | — | 2 | 8 | no | — |
| 375 | #1397 | — | 2 | 1 | no | — |
| 376 | #1397 | — | 2 | 2 | no | — |
| 377 | #1397 | C22⋊C8 | 1 | 2 | yes | — |
| 378 | #1397 | C22⋊C8 | 1 | 2 | yes | — |
| 379 | #1397 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 380 | #1397 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 381 | #1397 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 382 | #1397 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 383 | #1397 | C22×C8 | 1 | 1 | yes | characteristic |
| 384 | #1397 | C2×M16 | 1 | 1 | yes | characteristic |
| 385 | #1397 | C23×C4 | 1 | 1 | yes | characteristic |
| 386 | #1397 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C4×C32 | — | 2 | 2 | no | — |
| 388 | C4×C32 | — | 2 | 1 | no | — |
| 389 | C4×C32 | C22⋊C8 | 1 | 2 | yes | — |
| 390 | C4×C32 | C22×C8 | 1 | 2 | yes | — |
| 391 | C4×C32 | C2×M16 | 1 | 2 | yes | — |
| 392 | #1373 | — | 2 | 4 | no | — |
| 393 | #1373 | — | 4 | 2 | no | — |
| 394 | #1373 | — | 4 | 4 | no | — |
| 395 | #1370 | — | 8 | 1 | no | — |
| 396 | #1370 | — | 8 | 2 | no | — |
| 397 | #1367 | — | 4 | 2 | no | — |
| 398 | #1367 | — | 4 | 1 | no | — |
| 399 | #1367 | — | 4 | 1 | no | — |
| 400 | #1367 | — | 8 | 1 | no | — |
| 401 | #1367 | — | 8 | 2 | no | — |
| 402 | #1335 | — | 4 | 4 | no | — |
| 403 | #1335 | — | 4 | 4 | no | — |
| 404 | #1335 | — | 4 | 8 | no | — |
| 405 | #1311 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 406 | #1311 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 407 | #1311 | C2×D8 | 1 | 1 | yes | characteristic |
| 408 | #1311 | C2×D8 | 1 | 2 | yes | — |
| 409 | #1311 | C2×SD16 | 1 | 1 | yes | characteristic |
| 410 | #1311 | C2×SD16 | 1 | 2 | yes | — |
| 411 | #1311 | C22×D4 | 1 | 1 | yes | characteristic |
| 412 | C8×C16 | #102 | 1 | 2 | yes | — |
| 413 | C8×C16 | #102 | 1 | 2 | yes | — |
| 414 | C8×C16 | #102 | 1 | 2 | yes | — |
| 415 | #585 | — | 8 | 1 | no | — |
| 416 | #578 | — | 4 | 4 | no | — |
| 417 | #577 | — | 8 | 4 | no | — |
| 418 | #576 | — | 4 | 4 | no | — |
| 419 | #575 | — | 8 | 2 | no | — |
| 420 | #575 | — | 8 | 1 | no | — |
| 421 | C2×#135 | — | 4 | 4 | no | — |
| 422 | C2×#135 | — | 4 | 2 | no | — |
| 423 | #568 | — | 8 | 1 | no | — |
| 424 | #568 | — | 8 | 4 | no | — |
| 425 | #568 | — | 8 | 2 | no | — |
| 426 | #568 | — | 16 | 4 | no | — |
| 427 | C2×#131 | — | 8 | 4 | no | — |
| 428 | C2×#131 | — | 8 | 2 | no | — |
| 429 | C2×#131 | — | 16 | 4 | no | — |
| 430 | C2×#131 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 431 | C2×#131 | #361 | 1 | 1 | yes | characteristic |
| 432 | C4×#41 | #360 | 1 | 1 | yes | characteristic |
| 433 | #510 | — | 4 | 4 | no | — |
| 434 | #510 | — | 4 | 8 | no | — |
| 435 | #509 | — | 4 | 4 | no | — |
| 436 | #509 | — | 4 | 8 | no | — |
| 437 | #508 | — | 2 | 8 | no | — |
| 438 | #508 | — | 2 | 4 | no | — |
| 439 | #508 | — | 2 | 4 | no | — |
| 440 | #508 | — | 4 | 4 | no | — |
| 441 | #508 | — | 4 | 2 | no | — |
| 442 | #508 | — | 4 | 4 | no | — |
| 443 | #508 | — | 4 | 2 | no | — |
| 444 | C2×Q32 | — | 2 | 4 | no | — |
| 445 | C2×Q32 | — | 2 | 2 | no | — |
| 446 | C2×SD32 | — | 4 | 4 | no | — |
| 447 | C2×SD32 | — | 4 | 2 | no | — |
| 448 | C2×D16 | — | 2 | 4 | no | — |
| 449 | C2×D16 | — | 2 | 2 | no | — |
| 450 | #504 | — | 2 | 2 | no | — |
| 451 | #504 | — | 2 | 2 | no | — |
| 452 | #504 | — | 4 | 2 | no | — |
| 453 | #504 | — | 4 | 4 | no | — |
| 454 | #504 | — | 8 | 4 | no | — |
| 455 | #504 | — | 8 | 8 | no | — |
| 456 | #504 | — | 8 | 4 | no | — |
| 457 | #504 | — | 16 | 2 | no | — |
| 458 | #504 | — | 16 | 4 | no | — |
| 459 | #504 | — | 16 | 2 | no | — |
| 460 | #504 | — | 16 | 4 | no | — |
| 461 | #504 | — | 16 | 4 | no | — |
| 462 | #504 | — | 16 | 8 | no | — |
| 463 | #504 | — | 16 | 4 | no | — |
| 464 | C2×M32 | — | 2 | 2 | no | — |
| 465 | C2×M32 | — | 2 | 1 | no | — |
| 466 | C2×M32 | — | 8 | 4 | no | — |
| 467 | C2×M32 | — | 8 | 2 | no | — |
| 468 | C2×M32 | — | 16 | 2 | no | — |
| 469 | C2×M32 | — | 16 | 4 | no | — |
| 470 | C2×M32 | — | 16 | 4 | no | — |
| 471 | C2×M32 | — | 16 | 8 | no | — |
| 472 | C2×M32 | — | 16 | 2 | no | — |
| 473 | C2×M32 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 474 | C2×M32 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 475 | C2×M32 | D4⋊C8 | 1 | 2 | yes | — |
| 476 | C2×M32 | D4⋊C8 | 1 | 2 | yes | — |
| 477 | C22×C16 | — | 2 | 2 | no | — |
| 478 | C22×C16 | — | 2 | 1 | no | — |
| 479 | C22×C16 | — | 16 | 2 | no | — |
| 480 | C22×C16 | — | 16 | 4 | no | — |
| 481 | C22×C16 | — | 16 | 1 | no | — |
| 482 | C22×C16 | C2×C22⋊C8 | 1 | 2 | yes | — |
| 483 | C22×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 484 | C22×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 485 | C22×C16 | C2×#104 | 1 | 2 | yes | — |
| 486 | C8×Q8 | — | 4 | 1 | no | — |
| 487 | #444 | — | 8 | 4 | no | — |
| 488 | #444 | — | 8 | 4 | no | — |
| 489 | #444 | — | 8 | 4 | no | — |
| 490 | #443 | — | 4 | 4 | no | — |
| 491 | #443 | — | 4 | 4 | no | — |
| 492 | #443 | — | 4 | 8 | no | — |
| 493 | #443 | — | 8 | 4 | no | — |
| 494 | #443 | — | 8 | 2 | no | — |
| 495 | #443 | — | 8 | 4 | no | — |
| 496 | #443 | — | 8 | 2 | no | — |
| 497 | C8×D4 | — | 4 | 2 | no | — |
| 498 | C8×D4 | — | 4 | 1 | no | — |
| 499 | #431 | — | 2 | 2 | no | — |
| 500 | #431 | — | 2 | 1 | no | — |
| 501 | #430 | — | 8 | 2 | no | — |
| 502 | #430 | — | 8 | 1 | no | — |
| 503 | C2×#108 | — | 4 | 4 | no | — |
| 504 | C2×#108 | — | 4 | 2 | no | — |
| 505 | #421 | — | 8 | 4 | no | — |
| 506 | #421 | — | 8 | 2 | no | — |
| 507 | C2×#104 | — | 8 | 4 | no | — |
| 508 | C2×#104 | — | 8 | 2 | no | — |
| 509 | #405 | D4⋊C8 | 1 | 2 | yes | — |
| 510 | #405 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 511 | #405 | #361 | 1 | 2 | yes | — |
| 512 | #405 | #361 | 1 | 1 | yes | characteristic |
| 513 | C4×M16 | #360 | 1 | 2 | yes | — |
| 514 | C4×M16 | #360 | 1 | 1 | yes | characteristic |
| 515 | C2×C4×C8 | — | 2 | 1 | no | — |
| 516 | C2×C4×C8 | — | 2 | 2 | no | — |
| 517 | C2×C4×C8 | C2×#102 | 1 | 2 | yes | — |
| 518 | C2×C4×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 519 | Q64 | — | 2 | 4 | no | — |
| 520 | Q64 | — | 2 | 2 | no | — |
| 521 | Q64 | C2×M32 | 1 | 4 | yes | — |
| 522 | SD64 | — | 2 | 8 | no | — |
| 523 | SD64 | — | 2 | 4 | no | — |
| 524 | SD64 | — | 2 | 4 | no | — |
| 525 | D32 | — | 2 | 4 | no | — |
| 526 | D32 | — | 2 | 2 | no | — |
| 527 | D32 | C2×M32 | 1 | 4 | yes | — |
| 528 | M64 | — | 2 | 2 | no | — |
| 529 | M64 | — | 2 | 2 | no | — |
| 530 | M64 | — | 2 | 4 | no | — |
| 531 | M64 | — | 4 | 2 | no | — |
| 532 | M64 | — | 4 | 4 | no | — |
| 533 | M64 | — | 4 | 2 | no | — |
| 534 | C2×C32 | — | 2 | 4 | no | — |
| 535 | C2×C32 | — | 2 | 2 | no | — |
| 536 | C2×C32 | — | 2 | 1 | no | — |
| 537 | C2×C32 | — | 2 | 1 | no | — |
| 538 | C2×C32 | — | 2 | 2 | no | — |
| 539 | C2×C32 | — | 2 | 2 | no | — |
| 540 | C2×C32 | — | 2 | 2 | no | — |
| 541 | C2×C32 | — | 4 | 2 | no | — |
| 542 | C2×C32 | — | 4 | 4 | no | — |
| 543 | C2×C32 | C2×C22⋊C8 | 1 | 2 | yes | — |
| 544 | C2×C32 | C2×C22⋊C8 | 1 | 2 | yes | — |
| 545 | C2×C32 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 546 | C2×C32 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 547 | C2×C32 | C2×M32 | 1 | 2 | yes | — |
| 548 | C2×C32 | C2×M32 | 1 | 2 | yes | — |
| 549 | C2×C32 | C23×C8 | 1 | 1 | yes | characteristic |
| 550 | C2×C32 | C22×M16 | 1 | 1 | yes | characteristic |
| 551 | #368 | — | 2 | 4 | no | — |
| 552 | #368 | — | 4 | 4 | no | — |
| 553 | #368 | — | 4 | 2 | no | — |
| 554 | #364 | — | 4 | 4 | no | — |
| 555 | #364 | — | 8 | 4 | no | — |
| 556 | #364 | — | 8 | 2 | no | — |
| 557 | C4⋊C16 | — | 8 | 2 | no | — |
| 558 | C4⋊C16 | — | 8 | 1 | no | — |
| 559 | C4⋊C16 | — | 8 | 1 | no | — |
| 560 | C4⋊C16 | — | 16 | 1 | no | — |
| 561 | C4⋊C16 | — | 16 | 2 | no | — |
| 562 | #359 | — | 4 | 4 | no | — |
| 563 | #359 | — | 4 | 4 | no | — |
| 564 | #359 | — | 4 | 8 | no | — |
| 565 | #350 | — | 8 | 4 | no | — |
| 566 | #350 | — | 8 | 8 | no | — |
| 567 | #350 | — | 8 | 4 | no | — |
| 568 | C22⋊C16 | — | 16 | 1 | no | — |
| 569 | C22⋊C16 | — | 16 | 2 | no | — |
| 570 | #346 | — | 2 | 2 | no | — |
| 571 | #346 | — | 2 | 1 | no | — |
| 572 | #346 | — | 16 | 2 | no | — |
| 573 | #346 | D4⋊C8 | 1 | 2 | yes | — |
| 574 | #346 | D4⋊C8 | 1 | 2 | yes | — |
| 575 | #346 | D4⋊C8 | 1 | 2 | yes | — |
| 576 | C4×C16 | — | 2 | 2 | no | — |
| 577 | C4×C16 | — | 2 | 1 | no | — |
| 578 | C4×C16 | — | 16 | 1 | no | — |
| 579 | C4×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 580 | C4×C16 | C2×C22⋊C8 | 1 | 2 | yes | — |
| 581 | C4×C16 | C2×#102 | 1 | 2 | yes | — |
| 582 | C4×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 583 | C4×C16 | C2×#102 | 1 | 2 | yes | — |
| 584 | C4×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 585 | C4×C16 | C2×#104 | 1 | 2 | yes | — |
| 586 | C4×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 587 | C4×C16 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 588 | C4×C16 | C22×SD16 | 1 | 1 | yes | characteristic |
| 589 | #322 | — | 2 | 2 | no | — |
| 590 | #322 | — | 2 | 1 | no | — |
| 591 | C82 | — | 2 | 1 | no | — |
| 592 | C82 | — | 2 | 2 | no | — |
| 593 | C82 | C2×#102 | 1 | 1 | yes | characteristic |
| 594 | C82 | C2×#102 | 1 | 2 | yes | — |
| 595 | C82 | C22×D8 | 1 | 1 | yes | characteristic |
| 596 | C64 | — | 4 | 8 | no | — |
| 597 | 2−1+4 | — | 8 | 4 | no | — |
| 598 | 2−1+4 | — | 16 | 1 | no | — |
| 599 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 600 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 601 | H(5,𝔽2) | — | 16 | 1 | no | — |
| 602 | C2×#41 | — | 8 | 4 | no | — |
| 603 | C2×#41 | — | 8 | 2 | no | — |
| 604 | C2×#41 | — | 16 | 4 | no | — |
| 605 | C2×#41 | #1333 | 1 | 1 | yes | characteristic |
| 606 | #137 | — | 8 | 4 | no | — |
| 607 | #137 | — | 8 | 8 | no | — |
| 608 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 609 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 610 | #135 | — | 4 | 8 | no | — |
| 611 | #135 | — | 4 | 4 | no | — |
| 612 | #135 | — | 4 | 4 | no | — |
| 613 | #135 | — | 8 | 4 | no | — |
| 614 | #135 | — | 8 | 4 | no | — |
| 615 | #135 | — | 8 | 2 | no | — |
| 616 | #135 | — | 8 | 2 | no | — |
| 617 | C2×Q16 | — | 4 | 4 | no | — |
| 618 | C2×Q16 | — | 4 | 2 | no | — |
| 619 | C2×SD16 | — | 8 | 4 | no | — |
| 620 | C2×SD16 | — | 8 | 2 | no | — |
| 621 | C2×D8 | — | 4 | 4 | no | — |
| 622 | C2×D8 | — | 4 | 2 | no | — |
| 623 | #131 | — | 2 | 4 | no | — |
| 624 | #131 | — | 2 | 2 | no | — |
| 625 | #131 | — | 2 | 2 | no | — |
| 626 | #131 | — | 8 | 4 | no | — |
| 627 | #131 | — | 8 | 8 | no | — |
| 628 | #131 | — | 8 | 4 | no | — |
| 629 | #131 | — | 16 | 2 | no | — |
| 630 | #131 | — | 16 | 4 | no | — |
| 631 | #131 | — | 16 | 2 | no | — |
| 632 | #131 | — | 16 | 4 | no | — |
| 633 | #131 | — | 16 | 8 | no | — |
| 634 | #131 | — | 16 | 4 | no | — |
| 635 | #131 | — | 16 | 4 | no | — |
| 636 | C2×M16 | — | 8 | 4 | no | — |
| 637 | C2×M16 | — | 8 | 2 | no | — |
| 638 | C2×M16 | — | 16 | 2 | no | — |
| 639 | C2×M16 | — | 16 | 4 | no | — |
| 640 | C2×M16 | — | 16 | 8 | no | — |
| 641 | C2×M16 | — | 16 | 4 | no | — |
| 642 | C2×M16 | #1333 | 1 | 2 | yes | — |
| 643 | C2×M16 | #1333 | 1 | 2 | yes | — |
| 644 | C2×M16 | #1333 | 1 | 1 | yes | characteristic |
| 645 | C2×M16 | #1333 | 1 | 1 | yes | characteristic |
| 646 | C22×C8 | — | 4 | 1 | no | — |
| 647 | C22×C8 | — | 4 | 2 | no | — |
| 648 | C22×C8 | — | 16 | 2 | no | — |
| 649 | C22×C8 | — | 16 | 4 | no | — |
| 650 | C22×C8 | C2×D4⋊C8 | 1 | 2 | yes | — |
| 651 | C22×C8 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 652 | C22×C8 | C2×#361 | 1 | 2 | yes | — |
| 653 | C22×C8 | C2×#361 | 1 | 1 | yes | characteristic |
| 654 | C4×Q8 | — | 2 | 1 | no | — |
| 655 | C4×D4 | — | 2 | 2 | no | — |
| 656 | C4×D4 | — | 2 | 1 | no | — |
| 657 | #117 | #1333 | 1 | 2 | yes | — |
| 658 | #117 | #1333 | 1 | 1 | yes | characteristic |
| 659 | C2×C42 | C2×#360 | 1 | 2 | yes | — |
| 660 | C2×C42 | C2×#360 | 1 | 1 | yes | characteristic |
| 661 | Q32 | — | 2 | 4 | no | — |
| 662 | Q32 | — | 4 | 4 | no | — |
| 663 | Q32 | — | 4 | 2 | no | — |
| 664 | SD32 | — | 4 | 8 | no | — |
| 665 | SD32 | — | 4 | 4 | no | — |
| 666 | SD32 | — | 4 | 4 | no | — |
| 667 | D16 | — | 2 | 4 | no | — |
| 668 | D16 | — | 4 | 4 | no | — |
| 669 | D16 | — | 4 | 2 | no | — |
| 670 | M32 | — | 2 | 2 | no | — |
| 671 | M32 | — | 2 | 2 | no | — |
| 672 | M32 | — | 2 | 4 | no | — |
| 673 | M32 | — | 4 | 2 | no | — |
| 674 | M32 | — | 4 | 2 | no | — |
| 675 | M32 | — | 4 | 4 | no | — |
| 676 | M32 | — | 8 | 4 | no | — |
| 677 | M32 | — | 16 | 4 | no | — |
| 678 | M32 | — | 16 | 4 | no | — |
| 679 | M32 | — | 16 | 8 | no | — |
| 680 | M32 | — | 16 | 2 | no | — |
| 681 | M32 | — | 16 | 4 | no | — |
| 682 | M32 | — | 64 | 2 | no | — |
| 683 | C2×C16 | — | 2 | 2 | no | — |
| 684 | C2×C16 | — | 2 | 2 | no | — |
| 685 | C2×C16 | — | 2 | 2 | no | — |
| 686 | C2×C16 | — | 2 | 1 | no | — |
| 687 | C2×C16 | — | 2 | 2 | no | — |
| 688 | C2×C16 | — | 2 | 1 | no | — |
| 689 | C2×C16 | — | 4 | 2 | no | — |
| 690 | C2×C16 | — | 4 | 2 | no | — |
| 691 | C2×C16 | — | 4 | 4 | no | — |
| 692 | C2×C16 | — | 16 | 4 | no | — |
| 693 | C2×C16 | — | 16 | 4 | no | — |
| 694 | C2×C16 | — | 16 | 8 | no | — |
| 695 | C2×C16 | — | 16 | 2 | no | — |
| 696 | C2×C16 | — | 16 | 4 | no | — |
| 697 | C2×C16 | — | 16 | 1 | no | — |
| 698 | C2×C16 | — | 16 | 1 | no | — |
| 699 | C2×C16 | — | 16 | 2 | no | — |
| 700 | C2×C16 | — | 64 | 1 | no | — |
| 701 | C2×C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 702 | C2×C16 | C2×D4⋊C8 | 1 | 2 | yes | — |
| 703 | C2×C16 | C2×D4⋊C8 | 1 | 2 | yes | — |
| 704 | C2×C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 705 | C2×C16 | #2112 | 1 | 2 | yes | — |
| 706 | C2×C16 | #2117 | 1 | 2 | yes | — |
| 707 | C2×C16 | C22×C22⋊C8 | 1 | 1 | yes | characteristic |
| 708 | C2×C16 | C22×#104 | 1 | 1 | yes | characteristic |
| 709 | #108 | — | 4 | 4 | no | — |
| 710 | #108 | — | 8 | 4 | no | — |
| 711 | #108 | — | 8 | 2 | no | — |
| 712 | C4⋊C8 | — | 4 | 2 | no | — |
| 713 | C4⋊C8 | — | 4 | 1 | no | — |
| 714 | #104 | — | 8 | 8 | no | — |
| 715 | #104 | — | 8 | 4 | no | — |
| 716 | #104 | — | 8 | 4 | no | — |
| 717 | C22⋊C8 | — | 4 | 1 | no | — |
| 718 | C22⋊C8 | — | 4 | 2 | no | — |
| 719 | #97 | #1333 | 1 | 2 | yes | — |
| 720 | #97 | #1333 | 1 | 2 | yes | — |
| 721 | #97 | #1333 | 1 | 2 | yes | — |
| 722 | C4×C8 | — | 2 | 1 | no | — |
| 723 | C4×C8 | — | 2 | 1 | no | — |
| 724 | C4×C8 | — | 2 | 2 | no | — |
| 725 | C4×C8 | — | 4 | 1 | no | — |
| 726 | C4×C8 | — | 4 | 2 | no | — |
| 727 | C4×C8 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 728 | C4×C8 | C2×D4⋊C8 | 1 | 2 | yes | — |
| 729 | C4×C8 | C2×#360 | 1 | 2 | yes | — |
| 730 | C4×C8 | C2×#360 | 1 | 1 | yes | characteristic |
| 731 | C4×C8 | C2×#361 | 1 | 2 | yes | — |
| 732 | C4×C8 | C2×#361 | 1 | 1 | yes | characteristic |
| 733 | C4×C8 | C22×#102 | 1 | 1 | yes | characteristic |
| 734 | C32 | — | 2 | 2 | no | — |
| 735 | C32 | — | 2 | 2 | no | — |
| 736 | C32 | — | 2 | 2 | no | — |
| 737 | C32 | — | 2 | 1 | no | — |
| 738 | C32 | — | 2 | 1 | no | — |
| 739 | C32 | — | 2 | 2 | no | — |
| 740 | C32 | — | 4 | 2 | no | — |
| 741 | C32 | #2112 | 1 | 1 | yes | characteristic |
| 742 | C32 | #2112 | 1 | 1 | yes | characteristic |
| 743 | C32 | C22×M32 | 1 | 2 | yes | — |
| 744 | #41 | — | 2 | 2 | no | — |
| 745 | #41 | — | 2 | 2 | no | — |
| 746 | #41 | — | 8 | 8 | no | — |
| 747 | #41 | — | 8 | 4 | no | — |
| 748 | #41 | — | 8 | 4 | no | — |
| 749 | #41 | — | 16 | 4 | no | — |
| 750 | #41 | — | 16 | 8 | no | — |
| 751 | #41 | — | 16 | 4 | no | — |
| 752 | #41 | — | 16 | 4 | no | — |
| 753 | #41 | — | 16 | 4 | no | — |
| 754 | #41 | — | 16 | 2 | no | — |
| 755 | #41 | — | 16 | 2 | no | — |
| 756 | C2×Q8 | — | 8 | 4 | no | — |
| 757 | C2×Q8 | — | 8 | 2 | no | — |
| 758 | C2×Q8 | — | 16 | 4 | no | — |
| 759 | C2×Q8 | #7389 | 1 | 1 | yes | characteristic |
| 760 | C2×D4 | — | 8 | 4 | no | — |
| 761 | C2×D4 | — | 8 | 2 | no | — |
| 762 | C2×D4 | — | 16 | 8 | no | — |
| 763 | C2×D4 | — | 16 | 4 | no | — |
| 764 | C2×D4 | — | 16 | 4 | no | — |
| 765 | C2×D4 | — | 16 | 2 | no | — |
| 766 | C2×D4 | #7389 | 1 | 2 | yes | — |
| 767 | C2×D4 | #7389 | 1 | 1 | yes | characteristic |
| 768 | C22×C4 | — | 2 | 2 | no | — |
| 769 | C22×C4 | — | 2 | 1 | no | — |
| 770 | C22×C4 | — | 16 | 4 | no | — |
| 771 | C22×C4 | — | 16 | 2 | no | — |
| 772 | C22×C4 | C2×#1333 | 1 | 2 | yes | — |
| 773 | C22×C4 | C2×#1333 | 1 | 1 | yes | characteristic |
| 774 | Q16 | — | 4 | 4 | no | — |
| 775 | Q16 | — | 8 | 4 | no | — |
| 776 | Q16 | — | 8 | 2 | no | — |
| 777 | SD16 | — | 8 | 8 | no | — |
| 778 | SD16 | — | 8 | 4 | no | — |
| 779 | SD16 | — | 8 | 4 | no | — |
| 780 | D8 | — | 4 | 4 | no | — |
| 781 | D8 | — | 8 | 4 | no | — |
| 782 | D8 | — | 8 | 2 | no | — |
| 783 | M16 | — | 2 | 2 | no | — |
| 784 | M16 | — | 2 | 4 | no | — |
| 785 | M16 | — | 2 | 4 | no | — |
| 786 | M16 | — | 8 | 4 | no | — |
| 787 | M16 | — | 16 | 4 | no | — |
| 788 | M16 | — | 16 | 4 | no | — |
| 789 | M16 | — | 16 | 4 | no | — |
| 790 | M16 | — | 16 | 2 | no | — |
| 791 | M16 | — | 16 | 8 | no | — |
| 792 | M16 | #7390 | 1 | 4 | yes | — |
| 793 | C2×C8 | — | 2 | 2 | no | — |
| 794 | C2×C8 | — | 2 | 2 | no | — |
| 795 | C2×C8 | — | 2 | 2 | no | — |
| 796 | C2×C8 | — | 2 | 4 | no | — |
| 797 | C2×C8 | — | 4 | 1 | no | — |
| 798 | C2×C8 | — | 4 | 1 | no | — |
| 799 | C2×C8 | — | 4 | 2 | no | — |
| 800 | C2×C8 | — | 16 | 4 | no | — |
| 801 | C2×C8 | — | 16 | 4 | no | — |
| 802 | C2×C8 | — | 16 | 1 | no | — |
| 803 | C2×C8 | — | 16 | 2 | no | — |
| 804 | C2×C8 | — | 16 | 4 | no | — |
| 805 | C2×C8 | — | 16 | 2 | no | — |
| 806 | C2×C8 | — | 16 | 8 | no | — |
| 807 | C2×C8 | #11583 | 1 | 2 | yes | — |
| 808 | C2×C8 | C2×#1333 | 1 | 2 | yes | — |
| 809 | C2×C8 | C2×#1333 | 1 | 1 | yes | characteristic |
| 810 | C2×C8 | C2×#1333 | 1 | 2 | yes | — |
| 811 | C2×C8 | C2×#1333 | 1 | 1 | yes | characteristic |
| 812 | C2×C8 | #11604 | 1 | 2 | yes | — |
| 813 | C2×C8 | C22×D4⋊C8 | 1 | 1 | yes | characteristic |
| 814 | C2×C8 | C22×#361 | 1 | 1 | yes | characteristic |
| 815 | C4⋊C4 | — | 2 | 2 | no | — |
| 816 | C4⋊C4 | — | 2 | 1 | no | — |
| 817 | C22⋊C4 | — | 2 | 2 | no | — |
| 818 | C22⋊C4 | — | 2 | 1 | no | — |
| 819 | C42 | — | 2 | 2 | no | — |
| 820 | C42 | — | 2 | 1 | no | — |
| 821 | C42 | C2×#1333 | 1 | 2 | yes | — |
| 822 | C42 | C2×#1333 | 1 | 1 | yes | characteristic |
| 823 | C42 | C22×#360 | 1 | 1 | yes | characteristic |
| 824 | C16 | — | 2 | 2 | no | — |
| 825 | C16 | — | 2 | 1 | no | — |
| 826 | C16 | — | 2 | 1 | no | — |
| 827 | C16 | — | 2 | 2 | no | — |
| 828 | C16 | — | 4 | 1 | no | — |
| 829 | C16 | — | 4 | 1 | no | — |
| 830 | C16 | — | 4 | 2 | no | — |
| 831 | C16 | — | 16 | 4 | no | — |
| 832 | C16 | — | 32 | 1 | no | — |
| 833 | C16 | — | 32 | 2 | no | — |
| 834 | C16 | — | 32 | 1 | no | — |
| 835 | C16 | #11583 | 1 | 2 | yes | — |
| 836 | C16 | C2×#2112 | 1 | 1 | yes | characteristic |
| 837 | C16 | C2×#2117 | 1 | 1 | yes | characteristic |
| 838 | C23 | — | 16 | 4 | no | — |
| 839 | C23 | — | 16 | 2 | no | — |
| 840 | C23 | C2×#7389 | 1 | 2 | yes | — |
| 841 | C23 | C2×#7389 | 1 | 1 | yes | characteristic |
| 842 | Q8 | — | 2 | 2 | no | — |
| 843 | Q8 | — | 8 | 4 | no | — |
| 844 | Q8 | — | 16 | 4 | no | — |
| 845 | Q8 | — | 16 | 2 | no | — |
| 846 | D4 | — | 2 | 4 | no | — |
| 847 | D4 | — | 2 | 2 | no | — |
| 848 | D4 | — | 8 | 4 | no | — |
| 849 | D4 | — | 16 | 4 | no | — |
| 850 | D4 | — | 16 | 8 | no | — |
| 851 | D4 | — | 16 | 4 | no | — |
| 852 | D4 | — | 16 | 4 | no | — |
| 853 | D4 | — | 16 | 2 | no | — |
| 854 | C2×C4 | — | 2 | 2 | no | — |
| 855 | C2×C4 | — | 2 | 2 | no | — |
| 856 | C2×C4 | — | 2 | 1 | no | — |
| 857 | C2×C4 | — | 2 | 2 | no | — |
| 858 | C2×C4 | — | 2 | 1 | no | — |
| 859 | C2×C4 | — | 8 | 1 | no | — |
| 860 | C2×C4 | — | 8 | 2 | no | — |
| 861 | C2×C4 | — | 16 | 8 | no | — |
| 862 | C2×C4 | — | 16 | 4 | no | — |
| 863 | C2×C4 | — | 16 | 2 | no | — |
| 864 | C2×C4 | — | 16 | 4 | no | — |
| 865 | C2×C4 | — | 16 | 4 | no | — |
| 866 | C2×C4 | #122474 | 1 | 2 | yes | — |
| 867 | C2×C4 | C2×#7389 | 1 | 2 | yes | — |
| 868 | C2×C4 | C2×#7389 | 1 | 1 | yes | characteristic |
| 869 | C2×C4 | C2×#7390 | 1 | 2 | yes | — |
| 870 | C2×C4 | C22×#1333 | 1 | 1 | yes | characteristic |
| 871 | C8 | — | 2 | 2 | no | — |
| 872 | C8 | — | 2 | 1 | no | — |
| 873 | C8 | — | 2 | 1 | no | — |
| 874 | C8 | — | 8 | 1 | no | — |
| 875 | C8 | — | 8 | 1 | no | — |
| 876 | C8 | — | 8 | 2 | no | — |
| 877 | C8 | — | 16 | 4 | no | — |
| 878 | C8 | #122474 | 1 | 2 | yes | — |
| 879 | C8 | C2×#7390 | 1 | 4 | yes | — |
| 880 | C8 | C2×#11583 | 1 | 1 | yes | characteristic |
| 881 | C8 | C2×#11604 | 1 | 1 | yes | characteristic |
| 882 | C22 | — | 2 | 2 | no | — |
| 883 | C22 | — | 4 | 1 | no | — |
| 884 | C22 | — | 4 | 2 | no | — |
| 885 | C22 | — | 16 | 4 | no | — |
| 886 | C22 | — | 64 | 2 | no | — |
| 887 | C22 | — | 64 | 4 | no | — |
| 888 | C22 | C22×#7389 | 1 | 1 | yes | characteristic |
| 889 | C22 | #72286339 | 1 | 2 | yes | — |
| 890 | C4 | — | 2 | 2 | no | — |
| 891 | C4 | — | 4 | 1 | no | — |
| 892 | C4 | — | 4 | 1 | no | — |
| 893 | C4 | — | 4 | 2 | no | — |
| 894 | C4 | — | 16 | 4 | no | — |
| 895 | C4 | C22×#7390 | 1 | 1 | yes | characteristic |
| 896 | C4 | #72286339 | 1 | 2 | yes | — |
| 897 | C4 | C2×#122474 | 1 | 1 | yes | characteristic |
| 898 | C2 | — | 2 | 1 | no | — |
| 899 | C2 | — | 2 | 2 | no | — |
| 900 | C2 | — | 4 | 2 | no | — |
| 901 | C2 | — | 32 | 4 | no | — |
| 902 | C2 | C2×#72286339 | 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