Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
4871 conjugacy classes of subgroups.
The subgroup lattice has 1038 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10580912 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #41×M32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6344400 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #481430 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #481415 | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #481386 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #481379 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #481347 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | C2×#11680 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #62800 | — | 2 | 1 | no | — |
| 11 | #62527 | — | 2 | 3 | no | — |
| 12 | #62525 | — | 2 | 1 | no | — |
| 13 | #62474 | C4 | 1 | 3 | yes | — |
| 14 | #62472 | C4 | 1 | 1 | yes | characteristic |
| 15 | #62417 | C4 | 1 | 3 | yes | — |
| 16 | #62415 | C4 | 1 | 1 | yes | characteristic |
| 17 | #62363 | — | 2 | 1 | no | — |
| 18 | #62363 | C4 | 1 | 2 | yes | — |
| 19 | #62251 | — | 2 | 3 | no | — |
| 20 | #62251 | C4 | 1 | 6 | yes | — |
| 21 | #61436 | — | 2 | 1 | no | — |
| 22 | #61436 | C22 | 1 | 2 | yes | — |
| 23 | #61431 | — | 2 | 3 | no | — |
| 24 | #61431 | C22 | 1 | 6 | yes | — |
| 25 | #60946 | — | 2 | 3 | no | — |
| 26 | #60673 | C22 | 1 | 3 | yes | — |
| 27 | C2×#3169 | C22 | 1 | 3 | yes | — |
| 28 | C2×C8×#41 | C22 | 1 | 1 | yes | characteristic |
| 29 | #60099 | — | 2 | 1 | no | — |
| 30 | #33485 | C22 | 1 | 2 | yes | complemented |
| 31 | #33484 | C22 | 1 | 6 | yes | complemented |
| 32 | #33479 | — | 2 | 3 | no | — |
| 33 | C16×#41 | — | 2 | 1 | no | — |
| 34 | Q8×M32 | — | 2 | 1 | no | — |
| 35 | D4×M32 | — | 2 | 3 | no | — |
| 36 | #33418 | C22 | 1 | 3 | yes | complemented |
| 37 | C2×C4×M32 | C22 | 1 | 3 | yes | complemented |
| 38 | #17826 | — | 2 | 3 | no | — |
| 39 | #17826 | — | 2 | 1 | no | — |
| 40 | #17826 | C22 | 1 | 6 | yes | complemented |
| 41 | #17826 | C22 | 1 | 2 | yes | complemented |
| 42 | #17813 | — | 2 | 3 | no | — |
| 43 | C2×#1566 | C22 | 1 | 3 | yes | complemented |
| 44 | C2×#1566 | C22 | 1 | 3 | yes | complemented |
| 45 | #11681 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #11681 | C22 | 1 | 3 | yes | complemented |
| 47 | #11680 | C22 | 1 | 3 | yes | complemented |
| 48 | #11680 | C22 | 1 | 6 | yes | complemented |
| 49 | #11680 | C22 | 1 | 12 | yes | complemented |
| 50 | #11680 | C22 | 1 | 3 | yes | complemented |
| 51 | #11677 | C22 | 1 | 12 | yes | complemented |
| 52 | #11666 | C22 | 1 | 12 | yes | complemented |
| 53 | #11663 | C22 | 1 | 12 | yes | complemented |
| 54 | #11654 | C22 | 1 | 12 | yes | complemented |
| 55 | #11651 | C22 | 1 | 12 | yes | complemented |
| 56 | #11598 | C22 | 1 | 12 | yes | complemented |
| 57 | C2×#1333 | C22 | 1 | 12 | yes | complemented |
| 58 | C2×#568 | — | 4 | 1 | no | — |
| 59 | #3522 | — | 2 | 2 | no | — |
| 60 | #3519 | — | 2 | 6 | no | — |
| 61 | #3517 | — | 4 | 1 | no | — |
| 62 | #3514 | — | 4 | 3 | no | — |
| 63 | #3511 | — | 2 | 3 | no | — |
| 64 | #3508 | — | 2 | 3 | no | — |
| 65 | #3503 | — | 2 | 1 | no | — |
| 66 | #3498 | — | 2 | 1 | no | — |
| 67 | #3494 | — | 4 | 3 | no | — |
| 68 | #3488 | — | 4 | 1 | no | — |
| 69 | #3483 | — | 2 | 2 | no | — |
| 70 | #3481 | — | 2 | 6 | no | — |
| 71 | #3480 | — | 4 | 1 | no | — |
| 72 | D4×#41 | — | 4 | 3 | no | — |
| 73 | #3460 | — | 4 | 3 | no | — |
| 74 | #3444 | — | 2 | 3 | no | — |
| 75 | C2×#532 | — | 2 | 3 | no | — |
| 76 | C4×H(5,𝔽2) | — | 4 | 1 | no | — |
| 77 | C2×C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 78 | C22×M32 | — | 2 | 3 | no | — |
| 79 | #3396 | — | 2 | 3 | no | — |
| 80 | #3396 | C2×C4 | 1 | 6 | yes | — |
| 81 | #3391 | — | 2 | 1 | no | — |
| 82 | #3391 | C2×C4 | 1 | 2 | yes | — |
| 83 | Q8×Q16 | — | 2 | 1 | no | — |
| 84 | Q8×Q16 | C2×C4 | 1 | 2 | yes | — |
| 85 | #3380 | — | 2 | 3 | no | — |
| 86 | #3380 | C2×C4 | 1 | 6 | yes | — |
| 87 | #3362 | — | 2 | 2 | no | — |
| 88 | #3362 | — | 2 | 2 | no | — |
| 89 | #3361 | — | 2 | 6 | no | — |
| 90 | #3361 | — | 2 | 6 | no | — |
| 91 | #3341 | — | 2 | 3 | no | — |
| 92 | #3341 | C2×C4 | 1 | 6 | yes | — |
| 93 | #3339 | — | 2 | 6 | no | — |
| 94 | #3339 | C2×C4 | 1 | 12 | yes | — |
| 95 | #3338 | — | 2 | 3 | no | — |
| 96 | #3338 | C2×C4 | 1 | 6 | yes | — |
| 97 | #3305 | — | 2 | 6 | no | — |
| 98 | #3305 | — | 2 | 6 | no | — |
| 99 | #3297 | — | 2 | 12 | no | — |
| 100 | #3297 | — | 2 | 12 | no | — |
| 101 | #3295 | — | 2 | 6 | no | — |
| 102 | #3295 | — | 2 | 6 | no | — |
| 103 | #3287 | — | 2 | 3 | no | — |
| 104 | #3287 | C2×C4 | 1 | 6 | yes | — |
| 105 | #3280 | — | 2 | 6 | no | — |
| 106 | #3280 | C2×C4 | 1 | 12 | yes | — |
| 107 | D4×D8 | — | 2 | 3 | no | — |
| 108 | D4×D8 | C2×C4 | 1 | 6 | yes | — |
| 109 | #3247 | — | 2 | 6 | no | — |
| 110 | #3247 | — | 2 | 6 | no | — |
| 111 | #3230 | — | 2 | 3 | no | — |
| 112 | #3228 | — | 2 | 6 | no | — |
| 113 | #3227 | — | 2 | 3 | no | — |
| 114 | #3208 | — | 2 | 3 | no | — |
| 115 | #3207 | — | 2 | 6 | no | — |
| 116 | #3205 | — | 2 | 3 | no | — |
| 117 | #3188 | — | 2 | 12 | no | — |
| 118 | #3170 | C2×C4 | 1 | 3 | yes | — |
| 119 | #3170 | C23 | 1 | 1 | yes | characteristic |
| 120 | #3169 | — | 2 | 3 | no | — |
| 121 | #3169 | — | 2 | 3 | no | — |
| 122 | #3169 | — | 2 | 3 | no | — |
| 123 | #3169 | — | 2 | 3 | no | — |
| 124 | #3169 | C2×C4 | 1 | 3 | yes | — |
| 125 | #3169 | C2×C4 | 1 | 6 | yes | — |
| 126 | #3169 | C2×C4 | 1 | 6 | yes | — |
| 127 | #3169 | C23 | 1 | 3 | yes | — |
| 128 | #3169 | C23 | 1 | 6 | yes | — |
| 129 | #3168 | — | 2 | 3 | no | — |
| 130 | #3168 | — | 2 | 3 | no | — |
| 131 | #3168 | C2×C4 | 1 | 6 | yes | — |
| 132 | #3168 | C23 | 1 | 6 | yes | — |
| 133 | #3167 | — | 2 | 3 | no | — |
| 134 | #3167 | — | 2 | 3 | no | — |
| 135 | #3160 | C2×C4 | 1 | 3 | yes | — |
| 136 | C2×#500 | C2×C4 | 1 | 3 | yes | — |
| 137 | #3147 | C2×C4 | 1 | 3 | yes | — |
| 138 | C2×#493 | C2×C4 | 1 | 3 | yes | — |
| 139 | #3131 | — | 2 | 3 | no | — |
| 140 | C2×#486 | — | 2 | 3 | no | — |
| 141 | #3106 | — | 2 | 6 | no | — |
| 142 | #3106 | — | 2 | 6 | no | — |
| 143 | #3105 | — | 2 | 12 | no | — |
| 144 | #3050 | — | 2 | 3 | no | — |
| 145 | #3050 | C2×C4 | 1 | 6 | yes | — |
| 146 | C2×#466 | — | 2 | 3 | no | — |
| 147 | C2×#466 | C2×C4 | 1 | 6 | yes | — |
| 148 | C8×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 149 | C8×#41 | C2×C4 | 1 | 3 | yes | — |
| 150 | C8×#41 | D4 | 1 | 1 | yes | characteristic |
| 151 | C8×#41 | D4 | 1 | 3 | yes | — |
| 152 | C8×#41 | D4 | 1 | 3 | yes | — |
| 153 | C8×#41 | D4 | 1 | 1 | yes | characteristic |
| 154 | C8×#41 | C23 | 1 | 3 | yes | — |
| 155 | C8×#41 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×C8×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 157 | C2×C8×Q8 | D4 | 1 | 1 | yes | characteristic |
| 158 | C4×#135 | — | 2 | 3 | no | — |
| 159 | C4×#135 | C23 | 1 | 6 | yes | — |
| 160 | C2×C4×D8 | — | 2 | 3 | no | — |
| 161 | C2×C4×D8 | C23 | 1 | 6 | yes | — |
| 162 | C2×C8×D4 | C2×C4 | 1 | 3 | yes | — |
| 163 | C2×C8×D4 | D4 | 1 | 3 | yes | — |
| 164 | C2×#431 | D4 | 1 | 3 | yes | — |
| 165 | #2906 | — | 2 | 6 | no | — |
| 166 | #2906 | — | 2 | 2 | no | — |
| 167 | #2906 | — | 4 | 3 | no | — |
| 168 | #2906 | — | 4 | 1 | no | — |
| 169 | #2905 | — | 4 | 3 | no | — |
| 170 | C2×#423 | — | 2 | 3 | no | — |
| 171 | C2×#423 | — | 2 | 3 | no | — |
| 172 | C22×C4×C8 | C23 | 1 | 3 | yes | — |
| 173 | #2183 | — | 2 | 6 | no | — |
| 174 | Q8×C16 | — | 2 | 2 | no | — |
| 175 | #2169 | — | 2 | 6 | no | — |
| 176 | #2168 | — | 2 | 12 | no | — |
| 177 | D4×C16 | — | 2 | 6 | no | — |
| 178 | #2163 | C23 | 1 | 6 | yes | — |
| 179 | #2163 | C23 | 1 | 6 | yes | — |
| 180 | #2162 | — | 2 | 3 | no | — |
| 181 | #2162 | — | 2 | 3 | no | — |
| 182 | #2150 | — | 2 | 3 | no | — |
| 183 | #2112 | — | 2 | 3 | no | — |
| 184 | C4×M32 | — | 2 | 3 | no | — |
| 185 | C4×M32 | — | 2 | 3 | no | — |
| 186 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 187 | C4×M32 | C23 | 1 | 6 | yes | — |
| 188 | C4×M32 | C23 | 1 | 3 | yes | — |
| 189 | C2×#346 | C23 | 1 | 6 | yes | — |
| 190 | C2×C4×C16 | — | 2 | 3 | no | — |
| 191 | #1570 | — | 2 | 12 | no | — |
| 192 | #1570 | — | 2 | 6 | no | — |
| 193 | #1570 | — | 2 | 6 | no | — |
| 194 | #1566 | — | 2 | 3 | no | — |
| 195 | #1566 | — | 2 | 3 | no | — |
| 196 | #1566 | — | 2 | 3 | no | — |
| 197 | #1566 | — | 2 | 3 | no | — |
| 198 | #1566 | C23 | 1 | 3 | yes | — |
| 199 | #1566 | C23 | 1 | 1 | yes | characteristic |
| 200 | #1566 | C23 | 1 | 6 | yes | — |
| 201 | #1566 | C23 | 1 | 6 | yes | — |
| 202 | C2×#334 | — | 2 | 3 | no | — |
| 203 | C2×#334 | — | 2 | 3 | no | — |
| 204 | C2×#334 | C23 | 1 | 6 | yes | — |
| 205 | C2×#334 | C23 | 1 | 6 | yes | — |
| 206 | #1334 | C23 | 1 | 4 | yes | — |
| 207 | #1334 | C23 | 1 | 12 | yes | — |
| 208 | #1333 | C23 | 1 | 12 | yes | — |
| 209 | #1333 | C23 | 1 | 24 | yes | — |
| 210 | #1333 | C23 | 1 | 12 | yes | — |
| 211 | C2×H(5,𝔽2) | — | 4 | 1 | no | — |
| 212 | C22×#41 | — | 4 | 3 | no | — |
| 213 | C22×#41 | D8 | 1 | 1 | yes | characteristic |
| 214 | C2×#135 | — | 2 | 3 | no | — |
| 215 | C2×#135 | C22×C4 | 1 | 6 | yes | — |
| 216 | C22×D8 | — | 2 | 3 | no | — |
| 217 | C22×D8 | C22×C4 | 1 | 6 | yes | — |
| 218 | #568 | — | 8 | 8 | no | — |
| 219 | C2×#131 | — | 4 | 6 | no | — |
| 220 | C2×#131 | — | 4 | 2 | no | — |
| 221 | C22×M16 | — | 4 | 3 | no | — |
| 222 | C22×M16 | — | 4 | 3 | no | — |
| 223 | C23×C8 | C22×C4 | 1 | 3 | yes | — |
| 224 | C23×C8 | C2×D4 | 1 | 3 | yes | — |
| 225 | #559 | — | 2 | 6 | no | — |
| 226 | #559 | — | 4 | 3 | no | — |
| 227 | Q82 | — | 2 | 2 | no | — |
| 228 | #557 | — | 4 | 1 | no | — |
| 229 | #556 | — | 4 | 3 | no | — |
| 230 | #555 | — | 2 | 6 | no | — |
| 231 | #555 | — | 4 | 6 | no | — |
| 232 | #554 | — | 2 | 6 | no | — |
| 233 | #554 | — | 2 | 6 | no | — |
| 234 | #553 | — | 2 | 12 | no | — |
| 235 | #553 | — | 4 | 6 | no | — |
| 236 | #553 | — | 4 | 6 | no | — |
| 237 | #551 | — | 4 | 12 | no | — |
| 238 | #550 | — | 2 | 2 | no | — |
| 239 | #550 | — | 2 | 6 | no | — |
| 240 | #550 | — | 4 | 2 | no | — |
| 241 | #550 | — | 4 | 1 | no | — |
| 242 | #550 | — | 4 | 3 | no | — |
| 243 | D4×Q8 | — | 4 | 3 | no | — |
| 244 | #548 | — | 4 | 2 | no | — |
| 245 | #548 | — | 4 | 6 | no | — |
| 246 | #547 | — | 4 | 3 | no | — |
| 247 | #547 | — | 4 | 6 | no | — |
| 248 | #546 | — | 2 | 12 | no | — |
| 249 | #546 | — | 4 | 6 | no | — |
| 250 | #546 | — | 4 | 6 | no | — |
| 251 | #546 | — | 4 | 12 | no | — |
| 252 | D42 | — | 2 | 6 | no | — |
| 253 | D42 | — | 4 | 6 | no | — |
| 254 | D42 | — | 4 | 3 | no | — |
| 255 | #544 | — | 4 | 3 | no | — |
| 256 | #542 | — | 4 | 6 | no | — |
| 257 | #542 | — | 4 | 6 | no | — |
| 258 | #540 | — | 4 | 6 | no | — |
| 259 | #540 | — | 4 | 6 | no | — |
| 260 | #538 | — | 4 | 12 | no | — |
| 261 | #537 | — | 4 | 3 | no | — |
| 262 | #535 | — | 4 | 3 | no | — |
| 263 | #535 | — | 4 | 3 | no | — |
| 264 | #533 | — | 2 | 3 | no | — |
| 265 | #533 | — | 2 | 3 | no | — |
| 266 | #533 | — | 2 | 1 | no | — |
| 267 | #532 | — | 2 | 3 | no | — |
| 268 | #532 | — | 2 | 6 | no | — |
| 269 | #532 | — | 2 | 6 | no | — |
| 270 | #532 | — | 2 | 3 | no | — |
| 271 | #532 | — | 2 | 6 | no | — |
| 272 | #532 | — | 2 | 3 | no | — |
| 273 | #532 | — | 4 | 6 | no | — |
| 274 | #532 | — | 4 | 3 | no | — |
| 275 | #532 | — | 4 | 3 | no | — |
| 276 | #532 | — | 4 | 3 | no | — |
| 277 | #532 | — | 4 | 3 | no | — |
| 278 | C2×C4⋊Q8 | — | 2 | 3 | no | — |
| 279 | C2×#127 | — | 2 | 3 | no | — |
| 280 | #529 | — | 2 | 6 | no | — |
| 281 | #529 | — | 2 | 6 | no | — |
| 282 | #529 | — | 4 | 6 | no | — |
| 283 | #529 | — | 4 | 3 | no | — |
| 284 | #529 | — | 4 | 3 | no | — |
| 285 | #529 | — | 4 | 3 | no | — |
| 286 | #529 | — | 4 | 3 | no | — |
| 287 | C2×#124 | — | 4 | 3 | no | — |
| 288 | #525 | — | 2 | 6 | no | — |
| 289 | #525 | — | 4 | 3 | no | — |
| 290 | #525 | — | 4 | 3 | no | — |
| 291 | #525 | — | 4 | 12 | no | — |
| 292 | C2×#121 | — | 2 | 6 | no | — |
| 293 | C2×#121 | — | 4 | 3 | no | — |
| 294 | #520 | — | 4 | 1 | no | — |
| 295 | #520 | — | 4 | 2 | no | — |
| 296 | #520 | — | 4 | 3 | no | — |
| 297 | #518 | — | 4 | 6 | no | — |
| 298 | #518 | — | 4 | 3 | no | — |
| 299 | C4×#41 | — | 2 | 6 | no | — |
| 300 | C4×#41 | — | 4 | 2 | no | — |
| 301 | C4×#41 | — | 4 | 3 | no | — |
| 302 | C4×#41 | — | 4 | 3 | no | — |
| 303 | C4×#41 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 304 | C4×#41 | C22⋊C4 | 1 | 3 | yes | — |
| 305 | C4×#41 | D8 | 1 | 3 | yes | — |
| 306 | C4×#41 | D8 | 1 | 1 | yes | characteristic |
| 307 | C4×#41 | SD16 | 1 | 1 | yes | characteristic |
| 308 | C4×#41 | SD16 | 1 | 3 | yes | — |
| 309 | C4×#41 | C2×D4 | 1 | 3 | yes | — |
| 310 | C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 311 | C2×C4×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 312 | C2×C4×Q8 | SD16 | 1 | 1 | yes | characteristic |
| 313 | C2×C4×D4 | — | 2 | 6 | no | — |
| 314 | C2×C4×D4 | — | 4 | 6 | no | — |
| 315 | C2×C4×D4 | — | 4 | 3 | no | — |
| 316 | C2×C4×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 317 | C2×C4×D4 | SD16 | 1 | 3 | yes | — |
| 318 | C2×#117 | D8 | 1 | 3 | yes | — |
| 319 | C22×C42 | C2×D4 | 1 | 3 | yes | — |
| 320 | C2×M32 | — | 2 | 1 | no | — |
| 321 | C2×M32 | — | 2 | 3 | no | — |
| 322 | C2×M32 | — | 2 | 6 | no | — |
| 323 | C2×M32 | — | 4 | 12 | no | — |
| 324 | C22×C16 | — | 2 | 6 | no | — |
| 325 | #500 | — | 2 | 3 | no | — |
| 326 | #500 | — | 2 | 3 | no | — |
| 327 | #500 | C22×C4 | 1 | 6 | yes | — |
| 328 | #500 | C22×C4 | 1 | 3 | yes | — |
| 329 | #500 | C22×C4 | 1 | 1 | yes | characteristic |
| 330 | #499 | — | 2 | 3 | no | — |
| 331 | #499 | C22×C4 | 1 | 6 | yes | — |
| 332 | #498 | — | 2 | 3 | no | — |
| 333 | #495 | — | 2 | 3 | no | — |
| 334 | #495 | C22×C4 | 1 | 6 | yes | — |
| 335 | #494 | C22×C4 | 1 | 1 | yes | characteristic |
| 336 | #493 | — | 2 | 3 | no | — |
| 337 | #493 | — | 2 | 3 | no | — |
| 338 | #493 | C22×C4 | 1 | 6 | yes | — |
| 339 | #493 | C22×C4 | 1 | 3 | yes | — |
| 340 | #492 | — | 2 | 3 | no | — |
| 341 | #488 | — | 2 | 6 | no | — |
| 342 | #488 | — | 2 | 6 | no | — |
| 343 | #487 | — | 2 | 3 | no | — |
| 344 | #487 | — | 2 | 1 | no | — |
| 345 | #486 | — | 2 | 6 | no | — |
| 346 | #486 | — | 2 | 6 | no | — |
| 347 | #486 | — | 2 | 3 | no | — |
| 348 | #486 | — | 2 | 6 | no | — |
| 349 | #486 | — | 2 | 3 | no | — |
| 350 | #484 | — | 2 | 12 | no | — |
| 351 | #482 | — | 2 | 12 | no | — |
| 352 | #482 | — | 2 | 12 | no | — |
| 353 | #481 | — | 2 | 12 | no | — |
| 354 | #478 | — | 2 | 12 | no | — |
| 355 | #478 | — | 2 | 12 | no | — |
| 356 | #477 | — | 2 | 6 | no | — |
| 357 | #477 | — | 2 | 6 | no | — |
| 358 | #476 | — | 2 | 6 | no | — |
| 359 | #476 | — | 2 | 6 | no | — |
| 360 | #467 | — | 2 | 3 | no | — |
| 361 | #467 | — | 2 | 1 | no | — |
| 362 | #467 | C22×C4 | 1 | 6 | yes | — |
| 363 | #467 | C22×C4 | 1 | 2 | yes | — |
| 364 | #466 | — | 2 | 3 | no | — |
| 365 | #466 | — | 2 | 6 | no | — |
| 366 | #466 | — | 2 | 6 | no | — |
| 367 | #466 | — | 2 | 6 | no | — |
| 368 | #466 | — | 2 | 6 | no | — |
| 369 | #466 | — | 2 | 3 | no | — |
| 370 | #466 | — | 2 | 6 | no | — |
| 371 | #466 | C22×C4 | 1 | 6 | yes | — |
| 372 | #466 | C22×C4 | 1 | 12 | yes | — |
| 373 | #466 | C22×C4 | 1 | 6 | yes | — |
| 374 | #465 | — | 2 | 6 | no | — |
| 375 | #465 | — | 2 | 6 | no | — |
| 376 | #465 | — | 2 | 6 | no | — |
| 377 | #465 | — | 2 | 6 | no | — |
| 378 | #463 | — | 2 | 12 | no | — |
| 379 | #463 | — | 2 | 12 | no | — |
| 380 | #460 | — | 2 | 6 | no | — |
| 381 | #460 | — | 2 | 6 | no | — |
| 382 | #459 | — | 2 | 6 | no | — |
| 383 | #459 | — | 2 | 6 | no | — |
| 384 | #450 | — | 2 | 12 | no | — |
| 385 | #449 | — | 2 | 12 | no | — |
| 386 | #449 | — | 2 | 12 | no | — |
| 387 | #447 | — | 2 | 12 | no | — |
| 388 | C8×Q8 | C22⋊C4 | 1 | 3 | yes | — |
| 389 | C8×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 390 | C8×Q8 | C22⋊C4 | 1 | 3 | yes | — |
| 391 | C8×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 392 | C8×Q8 | C22×C4 | 1 | 3 | yes | — |
| 393 | C8×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 394 | C8×Q8 | C2×D4 | 1 | 3 | yes | — |
| 395 | C8×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 396 | C4×Q16 | — | 2 | 3 | no | — |
| 397 | C4×Q16 | — | 2 | 1 | no | — |
| 398 | C4×Q16 | C22×C4 | 1 | 6 | yes | — |
| 399 | C4×Q16 | C24 | 1 | 2 | yes | — |
| 400 | C4×SD16 | — | 2 | 6 | no | — |
| 401 | C4×SD16 | — | 2 | 6 | no | — |
| 402 | C4×SD16 | — | 2 | 6 | no | — |
| 403 | C4×SD16 | — | 2 | 6 | no | — |
| 404 | C4×D8 | — | 2 | 6 | no | — |
| 405 | C4×D8 | — | 2 | 3 | no | — |
| 406 | C4×D8 | — | 2 | 6 | no | — |
| 407 | C4×D8 | — | 2 | 6 | no | — |
| 408 | C4×D8 | — | 2 | 6 | no | — |
| 409 | C4×D8 | — | 2 | 6 | no | — |
| 410 | C4×D8 | — | 2 | 3 | no | — |
| 411 | C4×D8 | C22×C4 | 1 | 12 | yes | — |
| 412 | C4×D8 | C22×C4 | 1 | 6 | yes | — |
| 413 | C4×D8 | C24 | 1 | 6 | yes | — |
| 414 | C8×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 415 | C8×D4 | C22⋊C4 | 1 | 6 | yes | — |
| 416 | C8×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 417 | C8×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 418 | C8×D4 | C22⋊C4 | 1 | 6 | yes | — |
| 419 | C8×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 420 | C8×D4 | C22×C4 | 1 | 3 | yes | — |
| 421 | C8×D4 | C22×C4 | 1 | 6 | yes | — |
| 422 | C8×D4 | C22×C4 | 1 | 3 | yes | — |
| 423 | C8×D4 | C2×D4 | 1 | 3 | yes | — |
| 424 | C8×D4 | C2×D4 | 1 | 6 | yes | — |
| 425 | C8×D4 | C2×D4 | 1 | 3 | yes | — |
| 426 | #431 | C22⋊C4 | 1 | 3 | yes | — |
| 427 | #431 | C22⋊C4 | 1 | 6 | yes | — |
| 428 | #431 | C22⋊C4 | 1 | 3 | yes | — |
| 429 | #431 | C2×D4 | 1 | 6 | yes | — |
| 430 | #431 | C2×D4 | 1 | 3 | yes | — |
| 431 | #431 | C2×D4 | 1 | 3 | yes | — |
| 432 | #427 | — | 2 | 3 | no | — |
| 433 | #427 | C22×C4 | 1 | 6 | yes | — |
| 434 | C2×#107 | — | 2 | 3 | no | — |
| 435 | C2×#107 | C22×C4 | 1 | 6 | yes | — |
| 436 | #424 | — | 4 | 12 | no | — |
| 437 | #424 | — | 4 | 6 | no | — |
| 438 | #424 | — | 4 | 6 | no | — |
| 439 | #423 | — | 2 | 3 | no | — |
| 440 | #423 | — | 2 | 1 | no | — |
| 441 | #423 | — | 2 | 6 | no | — |
| 442 | #423 | — | 2 | 6 | no | — |
| 443 | #423 | — | 4 | 3 | no | — |
| 444 | #423 | — | 4 | 3 | no | — |
| 445 | #423 | — | 4 | 3 | no | — |
| 446 | #423 | — | 4 | 3 | no | — |
| 447 | C2×C4⋊C8 | — | 2 | 6 | no | — |
| 448 | C2×C4⋊C8 | — | 2 | 6 | no | — |
| 449 | C2×C4⋊C8 | — | 4 | 3 | no | — |
| 450 | C2×C4⋊C8 | — | 4 | 3 | no | — |
| 451 | C2×C4⋊C8 | C22⋊C4 | 1 | 3 | yes | — |
| 452 | C2×C4⋊C8 | C22⋊C4 | 1 | 3 | yes | — |
| 453 | #416 | — | 2 | 6 | no | — |
| 454 | #416 | — | 2 | 6 | no | — |
| 455 | C2×#102 | — | 2 | 6 | no | — |
| 456 | C2×#102 | — | 2 | 6 | no | — |
| 457 | C2×C22⋊C8 | C22⋊C4 | 1 | 6 | yes | — |
| 458 | C2×C4×C8 | C22×C4 | 1 | 3 | yes | — |
| 459 | C2×C4×C8 | C22×C4 | 1 | 3 | yes | — |
| 460 | C2×C4×C8 | C22×C4 | 1 | 3 | yes | — |
| 461 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 462 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 463 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 464 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 465 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 466 | C2×C4×C8 | C2×D4 | 1 | 3 | yes | — |
| 467 | C2×C4×C8 | C24 | 1 | 3 | yes | — |
| 468 | C2×C4×C8 | C24 | 1 | 3 | yes | — |
| 469 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 470 | C4⋊C16 | — | 2 | 6 | no | — |
| 471 | C4⋊C16 | — | 2 | 6 | no | — |
| 472 | C22⋊C16 | — | 2 | 6 | no | — |
| 473 | C22⋊C16 | — | 2 | 6 | no | — |
| 474 | #346 | — | 2 | 6 | no | — |
| 475 | #346 | C24 | 1 | 2 | yes | — |
| 476 | #346 | C24 | 1 | 6 | yes | — |
| 477 | C4×C16 | — | 2 | 1 | no | — |
| 478 | C4×C16 | — | 2 | 3 | no | — |
| 479 | C4×C16 | — | 2 | 6 | no | — |
| 480 | #334 | — | 2 | 3 | no | — |
| 481 | #334 | — | 2 | 1 | no | — |
| 482 | #334 | — | 2 | 6 | no | — |
| 483 | #334 | — | 2 | 6 | no | — |
| 484 | #334 | — | 2 | 6 | no | — |
| 485 | #334 | — | 2 | 6 | no | — |
| 486 | #334 | C24 | 1 | 6 | yes | — |
| 487 | #334 | C24 | 1 | 2 | yes | — |
| 488 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 489 | C2×#41 | — | 2 | 8 | no | — |
| 490 | C2×#41 | — | 2 | 6 | no | — |
| 491 | C2×#41 | — | 4 | 2 | no | — |
| 492 | C2×#41 | — | 4 | 3 | no | — |
| 493 | C2×#41 | — | 4 | 6 | no | — |
| 494 | C2×#41 | — | 4 | 3 | no | — |
| 495 | C2×#41 | — | 4 | 6 | no | — |
| 496 | C2×#41 | — | 4 | 6 | no | — |
| 497 | C2×#41 | — | 16 | 12 | no | — |
| 498 | C2×#41 | #102 | 1 | 3 | yes | — |
| 499 | C2×#41 | #102 | 1 | 1 | yes | characteristic |
| 500 | C2×#41 | C2×D8 | 1 | 3 | yes | — |
| 501 | C2×#41 | C2×D8 | 1 | 1 | yes | characteristic |
| 502 | C22×Q8 | — | 4 | 3 | no | — |
| 503 | C22×Q8 | #102 | 1 | 1 | yes | characteristic |
| 504 | C22×D4 | — | 2 | 6 | no | — |
| 505 | C22×D4 | — | 4 | 6 | no | — |
| 506 | C22×D4 | — | 4 | 6 | no | — |
| 507 | C22×D4 | — | 4 | 3 | no | — |
| 508 | C22×D4 | — | 4 | 3 | no | — |
| 509 | C22×D4 | #102 | 1 | 3 | yes | — |
| 510 | C23×C4 | — | 4 | 6 | no | — |
| 511 | C23×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 512 | C23×C4 | C2×D8 | 1 | 3 | yes | — |
| 513 | C23×C4 | C2×SD16 | 1 | 3 | yes | — |
| 514 | #135 | — | 4 | 12 | no | — |
| 515 | #135 | — | 8 | 6 | no | — |
| 516 | C2×Q16 | — | 2 | 1 | no | — |
| 517 | C2×Q16 | C23×C4 | 1 | 2 | yes | — |
| 518 | C2×SD16 | — | 2 | 6 | no | — |
| 519 | C2×SD16 | — | 2 | 6 | no | — |
| 520 | C2×D8 | — | 2 | 3 | no | — |
| 521 | C2×D8 | — | 2 | 6 | no | — |
| 522 | C2×D8 | — | 2 | 6 | no | — |
| 523 | C2×D8 | — | 4 | 12 | no | — |
| 524 | C2×D8 | — | 8 | 6 | no | — |
| 525 | C2×D8 | C23×C4 | 1 | 6 | yes | — |
| 526 | #131 | — | 8 | 8 | no | — |
| 527 | #131 | — | 8 | 24 | no | — |
| 528 | C2×M16 | — | 4 | 1 | no | — |
| 529 | C2×M16 | — | 4 | 3 | no | — |
| 530 | C2×M16 | — | 4 | 6 | no | — |
| 531 | C2×M16 | — | 4 | 6 | no | — |
| 532 | C2×M16 | — | 8 | 12 | no | — |
| 533 | C2×M16 | — | 8 | 12 | no | — |
| 534 | C22×C8 | — | 4 | 6 | no | — |
| 535 | C22×C8 | — | 4 | 6 | no | — |
| 536 | C22×C8 | — | 4 | 6 | no | — |
| 537 | C22×C8 | — | 4 | 6 | no | — |
| 538 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 539 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 540 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 541 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 542 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 543 | C22×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 544 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 545 | C22×C8 | C23×C4 | 1 | 3 | yes | — |
| 546 | C22×C8 | C23×C4 | 1 | 3 | yes | — |
| 547 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 548 | C22×C8 | C22×D4 | 1 | 3 | yes | — |
| 549 | C22×C8 | C22×D4 | 1 | 3 | yes | — |
| 550 | C4⋊Q8 | — | 2 | 3 | no | — |
| 551 | C4⋊Q8 | — | 2 | 6 | no | — |
| 552 | C4⋊Q8 | — | 2 | 1 | no | — |
| 553 | C4⋊Q8 | — | 2 | 1 | no | — |
| 554 | C4⋊Q8 | — | 4 | 6 | no | — |
| 555 | C4⋊Q8 | — | 4 | 3 | no | — |
| 556 | C4⋊Q8 | — | 4 | 3 | no | — |
| 557 | #127 | — | 2 | 3 | no | — |
| 558 | #127 | — | 2 | 6 | no | — |
| 559 | #127 | — | 4 | 6 | no | — |
| 560 | #127 | — | 4 | 3 | no | — |
| 561 | #127 | — | 4 | 3 | no | — |
| 562 | #126 | — | 4 | 12 | no | — |
| 563 | #126 | — | 4 | 6 | no | — |
| 564 | #126 | — | 4 | 6 | no | — |
| 565 | #125 | — | 2 | 6 | no | — |
| 566 | #125 | — | 4 | 6 | no | — |
| 567 | #125 | — | 4 | 1 | no | — |
| 568 | #125 | — | 4 | 3 | no | — |
| 569 | #124 | — | 2 | 6 | no | — |
| 570 | #124 | — | 4 | 6 | no | — |
| 571 | #124 | — | 4 | 12 | no | — |
| 572 | #124 | — | 4 | 3 | no | — |
| 573 | #124 | — | 4 | 6 | no | — |
| 574 | #124 | — | 4 | 6 | no | — |
| 575 | #124 | — | 4 | 6 | no | — |
| 576 | #124 | — | 4 | 3 | no | — |
| 577 | #123 | — | 4 | 6 | no | — |
| 578 | #123 | — | 4 | 6 | no | — |
| 579 | #123 | — | 4 | 6 | no | — |
| 580 | #123 | — | 4 | 12 | no | — |
| 581 | #123 | — | 4 | 12 | no | — |
| 582 | #123 | — | 4 | 12 | no | — |
| 583 | C22⋊Q8 | — | 2 | 2 | no | — |
| 584 | C22⋊Q8 | — | 2 | 6 | no | — |
| 585 | C22⋊Q8 | — | 4 | 6 | no | — |
| 586 | C22⋊Q8 | — | 4 | 1 | no | — |
| 587 | C22⋊Q8 | — | 4 | 3 | no | — |
| 588 | C22⋊Q8 | — | 4 | 3 | no | — |
| 589 | C22⋊Q8 | — | 4 | 3 | no | — |
| 590 | C22⋊Q8 | — | 4 | 12 | no | — |
| 591 | C22⋊Q8 | — | 4 | 12 | no | — |
| 592 | #121 | — | 2 | 6 | no | — |
| 593 | #121 | — | 2 | 12 | no | — |
| 594 | #121 | — | 2 | 6 | no | — |
| 595 | #121 | — | 4 | 12 | no | — |
| 596 | #121 | — | 4 | 6 | no | — |
| 597 | #121 | — | 4 | 3 | no | — |
| 598 | #121 | — | 4 | 6 | no | — |
| 599 | #121 | — | 4 | 6 | no | — |
| 600 | #121 | — | 4 | 6 | no | — |
| 601 | #121 | — | 4 | 6 | no | — |
| 602 | #121 | — | 4 | 6 | no | — |
| 603 | #121 | — | 4 | 3 | no | — |
| 604 | #121 | — | 4 | 3 | no | — |
| 605 | #121 | — | 4 | 3 | no | — |
| 606 | #121 | — | 4 | 6 | no | — |
| 607 | #121 | — | 4 | 6 | no | — |
| 608 | #121 | — | 4 | 12 | no | — |
| 609 | #121 | — | 4 | 12 | no | — |
| 610 | #120 | — | 4 | 6 | no | — |
| 611 | #120 | — | 4 | 12 | no | — |
| 612 | #120 | — | 4 | 12 | no | — |
| 613 | C4×Q8 | — | 2 | 6 | no | — |
| 614 | C4×Q8 | — | 2 | 2 | no | — |
| 615 | C4×Q8 | — | 4 | 2 | no | — |
| 616 | C4×Q8 | — | 4 | 1 | no | — |
| 617 | C4×Q8 | — | 4 | 3 | no | — |
| 618 | C4×Q8 | — | 4 | 3 | no | — |
| 619 | C4×Q8 | — | 4 | 3 | no | — |
| 620 | C4×Q8 | #102 | 1 | 1 | yes | characteristic |
| 621 | C4×Q8 | #102 | 1 | 3 | yes | — |
| 622 | C4×Q8 | #102 | 1 | 1 | yes | characteristic |
| 623 | C4×Q8 | #102 | 1 | 3 | yes | — |
| 624 | C4×Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 625 | C4×Q8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 626 | C4×Q8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 627 | C4×Q8 | C2×SD16 | 1 | 3 | yes | — |
| 628 | C4×D4 | — | 2 | 12 | no | — |
| 629 | C4×D4 | — | 2 | 6 | no | — |
| 630 | C4×D4 | — | 2 | 6 | no | — |
| 631 | C4×D4 | — | 4 | 6 | no | — |
| 632 | C4×D4 | — | 4 | 6 | no | — |
| 633 | C4×D4 | — | 4 | 6 | no | — |
| 634 | C4×D4 | — | 4 | 6 | no | — |
| 635 | C4×D4 | — | 4 | 6 | no | — |
| 636 | C4×D4 | — | 4 | 6 | no | — |
| 637 | C4×D4 | — | 4 | 6 | no | — |
| 638 | C4×D4 | — | 4 | 6 | no | — |
| 639 | C4×D4 | — | 4 | 6 | no | — |
| 640 | C4×D4 | — | 4 | 12 | no | — |
| 641 | C4×D4 | — | 4 | 6 | no | — |
| 642 | C4×D4 | — | 4 | 6 | no | — |
| 643 | C4×D4 | — | 4 | 6 | no | — |
| 644 | C4×D4 | — | 4 | 3 | no | — |
| 645 | C4×D4 | — | 4 | 6 | no | — |
| 646 | C4×D4 | — | 4 | 6 | no | — |
| 647 | C4×D4 | — | 4 | 3 | no | — |
| 648 | C4×D4 | — | 4 | 3 | no | — |
| 649 | C4×D4 | — | 4 | 3 | no | — |
| 650 | C4×D4 | #102 | 1 | 3 | yes | — |
| 651 | C4×D4 | #102 | 1 | 6 | yes | — |
| 652 | C4×D4 | #102 | 1 | 3 | yes | — |
| 653 | C4×D4 | #102 | 1 | 3 | yes | — |
| 654 | C4×D4 | #102 | 1 | 6 | yes | — |
| 655 | C4×D4 | #102 | 1 | 3 | yes | — |
| 656 | C4×D4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 657 | C4×D4 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 658 | C4×D4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 659 | C4×D4 | C2×SD16 | 1 | 3 | yes | — |
| 660 | C4×D4 | C2×SD16 | 1 | 6 | yes | — |
| 661 | C4×D4 | C2×SD16 | 1 | 3 | yes | — |
| 662 | #117 | — | 2 | 6 | no | — |
| 663 | #117 | — | 4 | 1 | no | — |
| 664 | #117 | — | 4 | 3 | no | — |
| 665 | #117 | — | 4 | 6 | no | — |
| 666 | #117 | — | 4 | 6 | no | — |
| 667 | #117 | — | 4 | 6 | no | — |
| 668 | #117 | — | 4 | 6 | no | — |
| 669 | #117 | #102 | 1 | 3 | yes | — |
| 670 | #117 | #102 | 1 | 3 | yes | — |
| 671 | #117 | #102 | 1 | 6 | yes | — |
| 672 | #117 | C2×D8 | 1 | 6 | yes | — |
| 673 | #117 | C2×D8 | 1 | 3 | yes | — |
| 674 | #117 | C2×D8 | 1 | 3 | yes | — |
| 675 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 676 | C2×C4⋊C4 | — | 4 | 3 | no | — |
| 677 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 678 | C2×C4⋊C4 | #102 | 1 | 3 | yes | — |
| 679 | C2×C4⋊C4 | #102 | 1 | 3 | yes | — |
| 680 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 681 | C2×C22⋊C4 | — | 4 | 6 | no | — |
| 682 | C2×C22⋊C4 | — | 4 | 12 | no | — |
| 683 | C2×C22⋊C4 | #102 | 1 | 6 | yes | — |
| 684 | C2×C42 | — | 4 | 6 | no | — |
| 685 | C2×C42 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 686 | C2×C42 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 687 | C2×C42 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 688 | C2×C42 | C2×D8 | 1 | 3 | yes | — |
| 689 | C2×C42 | C2×D8 | 1 | 3 | yes | — |
| 690 | C2×C42 | C2×D8 | 1 | 3 | yes | — |
| 691 | C2×C42 | C2×SD16 | 1 | 3 | yes | — |
| 692 | C2×C42 | C2×SD16 | 1 | 3 | yes | — |
| 693 | C2×C42 | C2×SD16 | 1 | 3 | yes | — |
| 694 | C2×C42 | C22×D4 | 1 | 3 | yes | — |
| 695 | C2×C42 | C22×D4 | 1 | 3 | yes | — |
| 696 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 697 | M32 | — | 2 | 4 | no | — |
| 698 | M32 | — | 4 | 12 | no | — |
| 699 | M32 | — | 4 | 6 | no | — |
| 700 | C2×C16 | — | 2 | 2 | no | — |
| 701 | C2×C16 | — | 2 | 6 | no | — |
| 702 | C2×C16 | — | 4 | 12 | no | — |
| 703 | #107 | — | 2 | 3 | no | — |
| 704 | #107 | — | 2 | 6 | no | — |
| 705 | #107 | — | 2 | 6 | no | — |
| 706 | #107 | — | 2 | 1 | no | — |
| 707 | #107 | C23×C4 | 1 | 6 | yes | — |
| 708 | #107 | C23×C4 | 1 | 2 | yes | — |
| 709 | #106 | — | 2 | 6 | no | — |
| 710 | #106 | — | 2 | 6 | no | — |
| 711 | C4⋊C8 | — | 2 | 2 | no | — |
| 712 | C4⋊C8 | — | 2 | 6 | no | — |
| 713 | C4⋊C8 | — | 4 | 6 | no | — |
| 714 | C4⋊C8 | — | 4 | 6 | no | — |
| 715 | C4⋊C8 | — | 4 | 3 | no | — |
| 716 | C4⋊C8 | — | 4 | 1 | no | — |
| 717 | C4⋊C8 | — | 4 | 6 | no | — |
| 718 | C4⋊C8 | — | 4 | 6 | no | — |
| 719 | C4⋊C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 720 | C4⋊C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 721 | C4⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 722 | C4⋊C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 723 | C4⋊C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 724 | C4⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 725 | #103 | — | 2 | 2 | no | — |
| 726 | #103 | — | 2 | 6 | no | — |
| 727 | #103 | — | 2 | 6 | no | — |
| 728 | #103 | — | 2 | 2 | no | — |
| 729 | #102 | — | 2 | 6 | no | — |
| 730 | #102 | — | 2 | 12 | no | — |
| 731 | #102 | — | 2 | 12 | no | — |
| 732 | #102 | — | 2 | 6 | no | — |
| 733 | #102 | — | 2 | 6 | no | — |
| 734 | #102 | — | 2 | 6 | no | — |
| 735 | C22⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 736 | C22⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 737 | C22⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 738 | C22⋊C8 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 739 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 740 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 741 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 742 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 743 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 744 | C4×C8 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 745 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 746 | C4×C8 | C23×C4 | 1 | 3 | yes | — |
| 747 | C4×C8 | C23×C4 | 1 | 3 | yes | — |
| 748 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 749 | C4×C8 | C22×D4 | 1 | 3 | yes | — |
| 750 | C4×C8 | C22×D4 | 1 | 3 | yes | — |
| 751 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 752 | C4×C8 | C22×D4 | 1 | 3 | yes | — |
| 753 | C4×C8 | C22×D4 | 1 | 3 | yes | — |
| 754 | C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 755 | C24 | — | 4 | 6 | no | — |
| 756 | C24 | C2×#102 | 1 | 3 | yes | — |
| 757 | #41 | — | 2 | 4 | no | — |
| 758 | #41 | — | 2 | 12 | no | — |
| 759 | #41 | — | 2 | 12 | no | — |
| 760 | #41 | — | 8 | 12 | no | — |
| 761 | #41 | — | 8 | 6 | no | — |
| 762 | #41 | — | 8 | 6 | no | — |
| 763 | #41 | — | 8 | 8 | no | — |
| 764 | #41 | — | 8 | 12 | no | — |
| 765 | #41 | — | 16 | 12 | no | — |
| 766 | #41 | — | 16 | 12 | no | — |
| 767 | #41 | — | 16 | 12 | no | — |
| 768 | #41 | #360 | 1 | 8 | yes | — |
| 769 | C2×Q8 | — | 2 | 4 | no | — |
| 770 | C2×Q8 | — | 2 | 2 | no | — |
| 771 | C2×Q8 | — | 4 | 1 | no | — |
| 772 | C2×Q8 | — | 4 | 3 | no | — |
| 773 | C2×Q8 | — | 4 | 6 | no | — |
| 774 | C2×Q8 | — | 16 | 6 | no | — |
| 775 | C2×Q8 | C2×#102 | 1 | 3 | yes | — |
| 776 | C2×Q8 | C2×#102 | 1 | 1 | yes | characteristic |
| 777 | C2×D4 | — | 2 | 12 | no | — |
| 778 | C2×D4 | — | 2 | 6 | no | — |
| 779 | C2×D4 | — | 4 | 6 | no | — |
| 780 | C2×D4 | — | 4 | 6 | no | — |
| 781 | C2×D4 | — | 4 | 6 | no | — |
| 782 | C2×D4 | — | 4 | 12 | no | — |
| 783 | C2×D4 | — | 4 | 6 | no | — |
| 784 | C2×D4 | — | 4 | 3 | no | — |
| 785 | C2×D4 | — | 4 | 3 | no | — |
| 786 | C2×D4 | — | 4 | 6 | no | — |
| 787 | C2×D4 | — | 4 | 6 | no | — |
| 788 | C2×D4 | — | 8 | 6 | no | — |
| 789 | C2×D4 | — | 8 | 6 | no | — |
| 790 | C2×D4 | — | 8 | 24 | no | — |
| 791 | C2×D4 | — | 8 | 12 | no | — |
| 792 | C2×D4 | — | 16 | 6 | no | — |
| 793 | C2×D4 | — | 16 | 12 | no | — |
| 794 | C2×D4 | C2×#102 | 1 | 6 | yes | — |
| 795 | C2×D4 | C2×#102 | 1 | 3 | yes | — |
| 796 | C2×D4 | C2×#102 | 1 | 3 | yes | — |
| 797 | C22×C4 | — | 2 | 12 | no | — |
| 798 | C22×C4 | — | 4 | 3 | no | — |
| 799 | C22×C4 | — | 4 | 3 | no | — |
| 800 | C22×C4 | — | 4 | 6 | no | — |
| 801 | C22×C4 | — | 4 | 6 | no | — |
| 802 | C22×C4 | — | 4 | 6 | no | — |
| 803 | C22×C4 | — | 4 | 6 | no | — |
| 804 | C22×C4 | — | 4 | 6 | no | — |
| 805 | C22×C4 | — | 4 | 12 | no | — |
| 806 | C22×C4 | — | 16 | 12 | no | — |
| 807 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 808 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 809 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 810 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 811 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 812 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 813 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 814 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 815 | C22×C4 | C2×#102 | 1 | 3 | yes | — |
| 816 | C22×C4 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 817 | C22×C4 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 818 | C22×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 819 | C22×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 820 | C22×C4 | C22×D8 | 1 | 3 | yes | — |
| 821 | C22×C4 | C22×D8 | 1 | 3 | yes | — |
| 822 | C22×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 823 | C22×C4 | C22×SD16 | 1 | 3 | yes | — |
| 824 | C22×C4 | C22×SD16 | 1 | 3 | yes | — |
| 825 | Q16 | — | 2 | 4 | no | — |
| 826 | Q16 | — | 4 | 2 | no | — |
| 827 | SD16 | — | 8 | 6 | no | — |
| 828 | SD16 | — | 8 | 6 | no | — |
| 829 | D8 | — | 2 | 12 | no | — |
| 830 | D8 | — | 4 | 6 | no | — |
| 831 | D8 | — | 8 | 6 | no | — |
| 832 | D8 | — | 8 | 6 | no | — |
| 833 | M16 | — | 8 | 6 | no | — |
| 834 | M16 | — | 8 | 2 | no | — |
| 835 | M16 | — | 8 | 12 | no | — |
| 836 | M16 | — | 8 | 12 | no | — |
| 837 | C2×C8 | — | 2 | 2 | no | — |
| 838 | C2×C8 | — | 2 | 6 | no | — |
| 839 | C2×C8 | — | 2 | 6 | no | — |
| 840 | C2×C8 | — | 2 | 2 | no | — |
| 841 | C2×C8 | — | 2 | 6 | no | — |
| 842 | C2×C8 | — | 2 | 6 | no | — |
| 843 | C2×C8 | — | 4 | 3 | no | — |
| 844 | C2×C8 | — | 4 | 3 | no | — |
| 845 | C2×C8 | — | 4 | 3 | no | — |
| 846 | C2×C8 | — | 4 | 3 | no | — |
| 847 | C2×C8 | — | 4 | 3 | no | — |
| 848 | C2×C8 | — | 4 | 3 | no | — |
| 849 | C2×C8 | — | 4 | 2 | no | — |
| 850 | C2×C8 | — | 4 | 6 | no | — |
| 851 | C2×C8 | — | 8 | 12 | no | — |
| 852 | C2×C8 | — | 8 | 12 | no | — |
| 853 | C2×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 854 | C2×C8 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 855 | C2×C8 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 856 | C2×C8 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 857 | C2×C8 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 858 | C2×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 859 | C2×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 860 | C2×C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 861 | C4⋊C4 | — | 2 | 2 | no | — |
| 862 | C4⋊C4 | — | 2 | 6 | no | — |
| 863 | C4⋊C4 | — | 4 | 6 | no | — |
| 864 | C4⋊C4 | — | 4 | 6 | no | — |
| 865 | C4⋊C4 | — | 4 | 3 | no | — |
| 866 | C4⋊C4 | — | 4 | 6 | no | — |
| 867 | C4⋊C4 | — | 4 | 1 | no | — |
| 868 | C4⋊C4 | — | 4 | 2 | no | — |
| 869 | C4⋊C4 | — | 4 | 1 | no | — |
| 870 | C4⋊C4 | — | 4 | 1 | no | — |
| 871 | C4⋊C4 | — | 4 | 6 | no | — |
| 872 | C4⋊C4 | — | 4 | 6 | no | — |
| 873 | C4⋊C4 | — | 4 | 6 | no | — |
| 874 | C4⋊C4 | — | 4 | 2 | no | — |
| 875 | C4⋊C4 | C2×#102 | 1 | 3 | yes | — |
| 876 | C4⋊C4 | C2×#102 | 1 | 3 | yes | — |
| 877 | C4⋊C4 | C2×#102 | 1 | 3 | yes | — |
| 878 | C4⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 879 | C4⋊C4 | C2×#102 | 1 | 3 | yes | — |
| 880 | C4⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 881 | C22⋊C4 | — | 4 | 6 | no | — |
| 882 | C22⋊C4 | — | 4 | 6 | no | — |
| 883 | C22⋊C4 | — | 4 | 2 | no | — |
| 884 | C22⋊C4 | — | 4 | 12 | no | — |
| 885 | C22⋊C4 | — | 4 | 6 | no | — |
| 886 | C22⋊C4 | — | 4 | 6 | no | — |
| 887 | C22⋊C4 | — | 4 | 12 | no | — |
| 888 | C22⋊C4 | — | 4 | 6 | no | — |
| 889 | C22⋊C4 | — | 4 | 6 | no | — |
| 890 | C22⋊C4 | — | 4 | 6 | no | — |
| 891 | C22⋊C4 | — | 4 | 6 | no | — |
| 892 | C22⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 893 | C22⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 894 | C22⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 895 | C22⋊C4 | C2×#102 | 1 | 6 | yes | — |
| 896 | C42 | — | 4 | 6 | no | — |
| 897 | C42 | — | 4 | 6 | no | — |
| 898 | C42 | — | 4 | 2 | no | — |
| 899 | C42 | C2×#102 | 1 | 3 | yes | — |
| 900 | C42 | C2×#102 | 1 | 3 | yes | — |
| 901 | C42 | C2×#102 | 1 | 3 | yes | — |
| 902 | C42 | C2×#102 | 1 | 3 | yes | — |
| 903 | C42 | C2×#102 | 1 | 3 | yes | — |
| 904 | C42 | C2×#102 | 1 | 3 | yes | — |
| 905 | C42 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 906 | C42 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 907 | C42 | C22×C22⋊C4 | 1 | 3 | yes | — |
| 908 | C42 | C22×D8 | 1 | 1 | yes | characteristic |
| 909 | C42 | C22×D8 | 1 | 3 | yes | — |
| 910 | C42 | C22×D8 | 1 | 3 | yes | — |
| 911 | C42 | C22×SD16 | 1 | 3 | yes | — |
| 912 | C42 | C22×SD16 | 1 | 1 | yes | characteristic |
| 913 | C42 | C22×SD16 | 1 | 3 | yes | — |
| 914 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 915 | C16 | — | 2 | 4 | no | — |
| 916 | C16 | — | 4 | 6 | no | — |
| 917 | C23 | — | 2 | 6 | no | — |
| 918 | C23 | — | 4 | 3 | no | — |
| 919 | C23 | — | 4 | 3 | no | — |
| 920 | C23 | — | 4 | 6 | no | — |
| 921 | C23 | — | 8 | 12 | no | — |
| 922 | C23 | — | 16 | 6 | no | — |
| 923 | C23 | — | 16 | 6 | no | — |
| 924 | C23 | C22×#102 | 1 | 3 | yes | — |
| 925 | C23 | C22×#102 | 1 | 1 | yes | characteristic |
| 926 | C23 | C22×#102 | 1 | 3 | yes | — |
| 927 | Q8 | — | 2 | 6 | no | — |
| 928 | Q8 | — | 4 | 2 | no | — |
| 929 | Q8 | — | 4 | 2 | no | — |
| 930 | Q8 | — | 8 | 2 | no | — |
| 931 | Q8 | — | 8 | 6 | no | — |
| 932 | Q8 | — | 16 | 6 | no | — |
| 933 | Q8 | C2×#360 | 1 | 4 | yes | — |
| 934 | D4 | — | 2 | 12 | no | — |
| 935 | D4 | — | 2 | 6 | no | — |
| 936 | D4 | — | 4 | 6 | no | — |
| 937 | D4 | — | 4 | 6 | no | — |
| 938 | D4 | — | 8 | 12 | no | — |
| 939 | D4 | — | 8 | 12 | no | — |
| 940 | D4 | — | 8 | 6 | no | — |
| 941 | D4 | — | 8 | 12 | no | — |
| 942 | D4 | — | 8 | 6 | no | — |
| 943 | D4 | — | 16 | 6 | no | — |
| 944 | D4 | — | 16 | 6 | no | — |
| 945 | D4 | — | 16 | 12 | no | — |
| 946 | D4 | — | 16 | 6 | no | — |
| 947 | D4 | C2×#360 | 1 | 12 | yes | — |
| 948 | C2×C4 | — | 2 | 6 | no | — |
| 949 | C2×C4 | — | 2 | 6 | no | — |
| 950 | C2×C4 | — | 2 | 2 | no | — |
| 951 | C2×C4 | — | 2 | 6 | no | — |
| 952 | C2×C4 | — | 2 | 6 | no | — |
| 953 | C2×C4 | — | 2 | 2 | no | — |
| 954 | C2×C4 | — | 2 | 6 | no | — |
| 955 | C2×C4 | — | 2 | 6 | no | — |
| 956 | C2×C4 | — | 2 | 1 | no | — |
| 957 | C2×C4 | — | 2 | 3 | no | — |
| 958 | C2×C4 | — | 2 | 3 | no | — |
| 959 | C2×C4 | — | 2 | 1 | no | — |
| 960 | C2×C4 | — | 2 | 3 | no | — |
| 961 | C2×C4 | — | 2 | 3 | no | — |
| 962 | C2×C4 | — | 4 | 3 | no | — |
| 963 | C2×C4 | — | 4 | 3 | no | — |
| 964 | C2×C4 | — | 4 | 3 | no | — |
| 965 | C2×C4 | — | 4 | 3 | no | — |
| 966 | C2×C4 | — | 4 | 3 | no | — |
| 967 | C2×C4 | — | 4 | 3 | no | — |
| 968 | C2×C4 | — | 4 | 2 | no | — |
| 969 | C2×C4 | — | 4 | 2 | no | — |
| 970 | C2×C4 | — | 4 | 6 | no | — |
| 971 | C2×C4 | — | 8 | 12 | no | — |
| 972 | C2×C4 | — | 8 | 12 | no | — |
| 973 | C2×C4 | — | 16 | 12 | no | — |
| 974 | C2×C4 | — | 16 | 6 | no | — |
| 975 | C2×C4 | — | 16 | 6 | no | — |
| 976 | C2×C4 | C2×#360 | 1 | 12 | yes | — |
| 977 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 978 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 979 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 980 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 981 | C2×C4 | C22×#102 | 1 | 1 | yes | characteristic |
| 982 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 983 | C2×C4 | C22×#102 | 1 | 3 | yes | — |
| 984 | C2×C4 | C22×#102 | 1 | 1 | yes | characteristic |
| 985 | C2×C4 | C22×#102 | 1 | 1 | yes | characteristic |
| 986 | C2×C4 | C23×C22⋊C4 | 1 | 1 | yes | characteristic |
| 987 | C2×C4 | C23×D8 | 1 | 1 | yes | characteristic |
| 988 | C2×C4 | C23×SD16 | 1 | 1 | yes | characteristic |
| 989 | C8 | — | 2 | 1 | no | — |
| 990 | C8 | — | 2 | 3 | no | — |
| 991 | C8 | — | 2 | 3 | no | — |
| 992 | C8 | — | 2 | 1 | no | — |
| 993 | C8 | — | 2 | 3 | no | — |
| 994 | C8 | — | 2 | 3 | no | — |
| 995 | C8 | — | 8 | 6 | no | — |
| 996 | C8 | — | 8 | 2 | no | — |
| 997 | C8 | #2901 | 1 | 2 | yes | — |
| 998 | C8 | #3573 | 1 | 2 | yes | — |
| 999 | C22 | — | 2 | 3 | no | — |
| 1000 | C22 | — | 2 | 3 | no | — |
| 1001 | C22 | — | 2 | 1 | no | — |
| 1002 | C22 | — | 2 | 3 | no | — |
| 1003 | C22 | — | 2 | 1 | no | — |
| 1004 | C22 | — | 2 | 3 | no | — |
| 1005 | C22 | — | 2 | 1 | no | — |
| 1006 | C22 | — | 2 | 3 | no | — |
| 1007 | C22 | — | 8 | 6 | no | — |
| 1008 | C22 | — | 8 | 6 | no | — |
| 1009 | C22 | — | 8 | 6 | no | — |
| 1010 | C22 | — | 8 | 6 | no | — |
| 1011 | C22 | — | 32 | 12 | no | — |
| 1012 | C22 | C22×#360 | 1 | 6 | yes | — |
| 1013 | C22 | C23×#102 | 1 | 1 | yes | characteristic |
| 1014 | C4 | — | 2 | 1 | no | — |
| 1015 | C4 | — | 2 | 3 | no | — |
| 1016 | C4 | — | 2 | 3 | no | — |
| 1017 | C4 | — | 2 | 1 | no | — |
| 1018 | C4 | — | 2 | 3 | no | — |
| 1019 | C4 | — | 2 | 1 | no | — |
| 1020 | C4 | — | 2 | 3 | no | — |
| 1021 | C4 | — | 2 | 3 | no | — |
| 1022 | C4 | — | 8 | 2 | no | — |
| 1023 | C4 | — | 8 | 2 | no | — |
| 1024 | C4 | — | 8 | 6 | no | — |
| 1025 | C4 | C22×#360 | 1 | 2 | yes | — |
| 1026 | C4 | C22×#360 | 1 | 6 | yes | — |
| 1027 | C4 | #33392 | 1 | 2 | yes | — |
| 1028 | C4 | #60065 | 1 | 1 | yes | characteristic |
| 1029 | C4 | C2×#2901 | 1 | 1 | yes | characteristic |
| 1030 | C2 | — | 2 | 6 | no | — |
| 1031 | C2 | — | 4 | 3 | no | — |
| 1032 | C2 | — | 4 | 1 | no | — |
| 1033 | C2 | — | 16 | 6 | no | — |
| 1034 | C2 | #6343228 | 1 | 1 | yes | characteristic |
| 1035 | C2 | C23×#360 | 1 | 1 | yes | characteristic |
| 1036 | C2 | C2×#33392 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C23×#102 |
| commutator | C2×C8 | C24×C4 |
| Frattini, cosocle | C4×C8 | C25 |
| prime radical | #10580912 | C2 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C4×#41 ◁ C2×C8×#41 ◁ G | |
| LECS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #41×M32 | C2 | semidirect |
| 3. #6344400 | C2 | semidirect |
| 4. #481430 | C2 | semidirect |
| 5. #481415 | C2 | semidirect |
| 6. #481386 | C2 | semidirect |
| 7. #481379 | C2 | semidirect |
| 8. #481347 | C2 | semidirect |
| 9. C2×#11680 | C2 | semidirect |
| 30. #33485 | C22 | semidirect |
| 31. #33484 | C22 | semidirect |
| 36. #33418 | C22 | semidirect |
| 37. C2×C4×M32 | C22 | semidirect |
| 40. #17826 | C22 | semidirect |
| 41. #17826 | C22 | semidirect |
| 43. C2×#1566 | C22 | semidirect |
| 44. C2×#1566 | C22 | semidirect |
| 45. #11681 | C22 | semidirect |
| 46. #11681 | C22 | semidirect |
| 47. #11680 | C22 | semidirect |
| 48. #11680 | C22 | semidirect |
| 49. #11680 | C22 | semidirect |
| 50. #11680 | C22 | semidirect |
| 51. #11677 | C22 | semidirect |
| 52. #11666 | C22 | semidirect |
| 53. #11663 | C22 | semidirect |
| 54. #11654 | C22 | semidirect |
| 55. #11651 | C22 | semidirect |
| 56. #11598 | C22 | semidirect |
| 57. C2×#1333 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10580912 | 2 |
| #41×M32 | 2 |
| #6344400 | 2 |
| #481430 | 2 |
| #481415 | 2 |
| #481386 | 2 |
| #481379 | 2 |
| #481347 | 2 |
| C2×#11680 | 2 |