Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
17578 conjugacy classes of subgroups; only the 628 normal subgroups are shown.
This group has 17578 conjugacy classes of subgroups — too many to draw. Only its 628 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72271374 | C2 | 1 | 3 | yes | maximal, complemented |
| 2 | #72271370 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | #72271368 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #72271366 | C2 | 1 | 12 | yes | maximal, complemented |
| 5 | #72268378 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10586518 | C22 | 1 | 1 | yes | characteristic, complemented |
| 7 | #6516743 | C22 | 1 | 6 | yes | — |
| 8 | #6347318 | — | 2 | 6 | no | — |
| 9 | #5509611 | — | 2 | 12 | no | — |
| 10 | #5486496 | C22 | 1 | 6 | yes | — |
| 11 | #5021379 | C22 | 1 | 6 | yes | — |
| 12 | #4941760 | — | 2 | 6 | no | — |
| 13 | #900727 | — | 2 | 6 | no | — |
| 14 | #682091 | C22 | 1 | 3 | yes | — |
| 15 | #511796 | C22 | 1 | 8 | yes | complemented |
| 16 | #346450 | — | 2 | 12 | no | — |
| 17 | #346450 | C22 | 1 | 24 | yes | complemented |
| 18 | #188161 | C22 | 1 | 3 | yes | complemented |
| 19 | #186832 | C22 | 1 | 6 | yes | complemented |
| 20 | #185248 | — | 2 | 6 | no | — |
| 21 | #144629 | C22 | 1 | 8 | yes | complemented |
| 22 | #144372 | C22 | 1 | 24 | yes | — |
| 23 | #139796 | C22 | 1 | 24 | yes | complemented |
| 24 | #139787 | C22 | 1 | 24 | yes | complemented |
| 25 | #135539 | C22 | 1 | 6 | yes | complemented |
| 26 | #134014 | C22 | 1 | 6 | yes | — |
| 27 | #63038 | — | 4 | 4 | no | — |
| 28 | #63037 | — | 4 | 4 | no | — |
| 29 | #62999 | — | 4 | 2 | no | — |
| 30 | Q8×2−1+4 | — | 4 | 2 | no | — |
| 31 | #62943 | — | 4 | 12 | no | — |
| 32 | #62833 | — | 2 | 6 | no | — |
| 33 | #62833 | C23 | 1 | 6 | yes | — |
| 34 | #62788 | — | 2 | 6 | no | — |
| 35 | C22×Q82 | C23 | 1 | 1 | yes | characteristic |
| 36 | C22×H(3,𝔽4) | — | 2 | 2 | no | — |
| 37 | C22×H(3,𝔽4) | C23 | 1 | 2 | yes | — |
| 38 | #60798 | — | 2 | 6 | no | — |
| 39 | C2×#2811 | — | 2 | 2 | no | — |
| 40 | C2×#2733 | — | 2 | 6 | no | — |
| 41 | C2×#2819 | — | 2 | 6 | no | — |
| 42 | C2×#2840 | — | 2 | 4 | no | — |
| 43 | C2×#2858 | C23 | 1 | 3 | yes | — |
| 44 | C2×#2548 | D4 | 1 | 6 | yes | — |
| 45 | C2×#2202 | — | 4 | 8 | no | — |
| 46 | #25745 | — | 4 | 12 | no | — |
| 47 | #25591 | — | 4 | 12 | no | — |
| 48 | #23910 | — | 2 | 12 | no | — |
| 49 | #23910 | C23 | 1 | 24 | yes | — |
| 50 | #21799 | C23 | 1 | 6 | yes | — |
| 51 | #21415 | — | 2 | 6 | no | — |
| 52 | #18403 | — | 4 | 6 | no | — |
| 53 | #18401 | — | 4 | 6 | no | — |
| 54 | #18391 | — | 4 | 12 | no | — |
| 55 | #18337 | — | 4 | 24 | no | — |
| 56 | #18164 | — | 2 | 48 | no | — |
| 57 | #17546 | — | 2 | 12 | no | — |
| 58 | #17365 | — | 2 | 6 | no | — |
| 59 | #17309 | C23 | 1 | 2 | yes | — |
| 60 | #17137 | — | 2 | 12 | no | — |
| 61 | #17105 | — | 2 | 12 | no | — |
| 62 | #17077 | — | 2 | 12 | no | — |
| 63 | #16878 | — | 2 | 12 | no | — |
| 64 | #16509 | — | 2 | 12 | no | — |
| 65 | #16504 | — | 2 | 24 | no | — |
| 66 | #15772 | — | 2 | 24 | no | — |
| 67 | #15763 | C23 | 1 | 6 | yes | — |
| 68 | #15761 | D4 | 1 | 12 | yes | — |
| 69 | #15761 | C23 | 1 | 12 | yes | — |
| 70 | #15317 | — | 2 | 24 | no | — |
| 71 | #15281 | — | 2 | 12 | no | — |
| 72 | #15267 | — | 2 | 12 | no | — |
| 73 | #15267 | — | 2 | 24 | no | — |
| 74 | #15259 | — | 2 | 6 | no | — |
| 75 | #15258 | — | 2 | 6 | no | — |
| 76 | #15144 | — | 2 | 12 | no | — |
| 77 | #15070 | — | 2 | 12 | no | — |
| 78 | #14928 | — | 2 | 24 | no | — |
| 79 | #14708 | — | 2 | 6 | no | — |
| 80 | #14662 | C23 | 1 | 6 | yes | — |
| 81 | #14492 | — | 2 | 6 | no | — |
| 82 | #14232 | — | 2 | 12 | no | — |
| 83 | #14161 | C23 | 1 | 3 | yes | — |
| 84 | #14026 | — | 2 | 12 | no | — |
| 85 | C4×#391 | D4 | 1 | 6 | yes | — |
| 86 | #12774 | — | 4 | 8 | no | — |
| 87 | #12699 | C23 | 1 | 24 | yes | — |
| 88 | #8551 | — | 2 | 6 | no | — |
| 89 | #8551 | C23 | 1 | 12 | yes | — |
| 90 | #8455 | — | 2 | 12 | no | — |
| 91 | #8455 | C23 | 1 | 24 | yes | — |
| 92 | #8347 | — | 2 | 48 | no | — |
| 93 | #7308 | C23 | 1 | 24 | yes | — |
| 94 | #3555 | — | 4 | 48 | no | — |
| 95 | #3555 | — | 4 | 24 | no | — |
| 96 | #3552 | — | 4 | 24 | no | — |
| 97 | #3552 | — | 4 | 48 | no | — |
| 98 | #3550 | — | 4 | 12 | no | — |
| 99 | #3550 | — | 4 | 24 | no | — |
| 100 | #3544 | — | 4 | 12 | no | — |
| 101 | #3544 | — | 4 | 24 | no | — |
| 102 | #3544 | — | 4 | 24 | no | — |
| 103 | #3544 | — | 4 | 12 | no | — |
| 104 | C2×H(3,𝔽4) | — | 4 | 8 | no | — |
| 105 | C2×H(3,𝔽4) | — | 8 | 8 | no | — |
| 106 | C2×H(3,𝔽4) | — | 8 | 16 | no | — |
| 107 | C2×H(3,𝔽4) | — | 8 | 6 | no | — |
| 108 | C2×H(3,𝔽4) | — | 8 | 2 | no | — |
| 109 | #3523 | — | 4 | 12 | no | — |
| 110 | #3522 | — | 4 | 12 | no | — |
| 111 | #3522 | — | 4 | 24 | no | — |
| 112 | #3518 | — | 4 | 24 | no | — |
| 113 | #3516 | — | 4 | 24 | no | — |
| 114 | #3511 | — | 4 | 12 | no | — |
| 115 | #3511 | — | 4 | 24 | no | — |
| 116 | #3509 | — | 2 | 12 | no | — |
| 117 | #3509 | — | 4 | 12 | no | — |
| 118 | #3507 | — | 2 | 12 | no | — |
| 119 | #3507 | — | 4 | 12 | no | — |
| 120 | #3503 | — | 4 | 12 | no | — |
| 121 | #3503 | — | 4 | 24 | no | — |
| 122 | #3503 | — | 4 | 24 | no | — |
| 123 | #3502 | — | 2 | 6 | no | — |
| 124 | #3502 | — | 4 | 24 | no | — |
| 125 | #3499 | — | 2 | 12 | no | — |
| 126 | #3499 | — | 4 | 12 | no | — |
| 127 | #3497 | — | 2 | 6 | no | — |
| 128 | #3492 | — | 2 | 24 | no | — |
| 129 | #3492 | — | 4 | 6 | no | — |
| 130 | #3486 | — | 2 | 6 | no | — |
| 131 | #3486 | — | 4 | 2 | no | — |
| 132 | #3486 | — | 4 | 2 | no | — |
| 133 | #3486 | C24 | 1 | 4 | yes | — |
| 134 | #3483 | — | 4 | 4 | no | — |
| 135 | #3482 | — | 4 | 24 | no | — |
| 136 | #3480 | — | 4 | 12 | no | — |
| 137 | Q8×#41 | — | 4 | 12 | no | — |
| 138 | Q8×#41 | — | 4 | 8 | no | — |
| 139 | C2×Q82 | — | 4 | 2 | no | — |
| 140 | C2×Q82 | — | 4 | 6 | no | — |
| 141 | C2×Q82 | — | 4 | 4 | no | — |
| 142 | C2×Q82 | — | 4 | 4 | no | — |
| 143 | #3461 | — | 2 | 24 | no | — |
| 144 | #3461 | — | 4 | 6 | no | — |
| 145 | #3444 | — | 2 | 6 | no | — |
| 146 | #3444 | — | 4 | 6 | no | — |
| 147 | C22×C4⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 148 | C22×C4⋊Q8 | C24 | 1 | 3 | yes | — |
| 149 | C22×#127 | C2×D4 | 1 | 3 | yes | — |
| 150 | C22×#124 | — | 2 | 6 | no | — |
| 151 | C22×#124 | — | 2 | 6 | no | — |
| 152 | C22×#124 | — | 2 | 12 | no | — |
| 153 | C22×#124 | C2×D4 | 1 | 6 | yes | — |
| 154 | C22×#124 | C24 | 1 | 6 | yes | — |
| 155 | C22×#120 | — | 2 | 12 | no | — |
| 156 | C22×#120 | — | 2 | 6 | no | — |
| 157 | C4×2−1+4 | — | 4 | 6 | no | — |
| 158 | C22×C4×Q8 | C2×D4 | 1 | 6 | yes | — |
| 159 | #3217 | — | 4 | 24 | no | — |
| 160 | #3208 | — | 4 | 12 | no | — |
| 161 | #3205 | — | 4 | 12 | no | — |
| 162 | #3151 | — | 4 | 6 | no | — |
| 163 | #3138 | — | 4 | 6 | no | — |
| 164 | #3038 | — | 4 | 12 | no | — |
| 165 | C2×#454 | — | 2 | 24 | no | — |
| 166 | C2×#454 | — | 4 | 12 | no | — |
| 167 | #3003 | — | 2 | 24 | no | — |
| 168 | #2920 | — | 2 | 6 | no | — |
| 169 | #2858 | — | 4 | 12 | no | — |
| 170 | #2840 | — | 8 | 16 | no | — |
| 171 | #2819 | — | 8 | 24 | no | — |
| 172 | #2811 | — | 8 | 8 | no | — |
| 173 | #2733 | — | 8 | 24 | no | — |
| 174 | #2548 | — | 4 | 12 | no | — |
| 175 | #2548 | — | 4 | 6 | no | — |
| 176 | #2548 | — | 4 | 6 | no | — |
| 177 | C2×#395 | — | 2 | 12 | no | — |
| 178 | C2×#394 | — | 2 | 24 | no | — |
| 179 | C2×#394 | — | 2 | 12 | no | — |
| 180 | C2×#394 | C2×D4 | 1 | 24 | yes | — |
| 181 | C2×#393 | — | 2 | 12 | no | — |
| 182 | C2×#393 | — | 2 | 24 | no | — |
| 183 | C2×#393 | — | 2 | 12 | no | — |
| 184 | C2×#393 | — | 2 | 12 | no | — |
| 185 | C2×#392 | — | 2 | 12 | no | — |
| 186 | C2×#392 | — | 2 | 24 | no | — |
| 187 | C2×#392 | — | 2 | 12 | no | — |
| 188 | C2×#391 | — | 2 | 12 | no | — |
| 189 | C2×#391 | — | 2 | 6 | no | — |
| 190 | C2×#390 | — | 2 | 12 | no | — |
| 191 | C2×#390 | — | 2 | 12 | no | — |
| 192 | C2×#390 | — | 2 | 6 | no | — |
| 193 | C2×#390 | — | 2 | 12 | no | — |
| 194 | C2×#388 | — | 2 | 24 | no | — |
| 195 | C2×#382 | — | 2 | 6 | no | — |
| 196 | C2×#379 | — | 2 | 12 | no | — |
| 197 | C2×C4×C4⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 198 | C2×C43 | C2×D4 | 1 | 3 | yes | — |
| 199 | #2202 | — | 8 | 32 | no | — |
| 200 | C2×#355 | — | 4 | 24 | no | — |
| 201 | #2003 | — | 4 | 24 | no | — |
| 202 | #2003 | — | 4 | 24 | no | — |
| 203 | #1994 | — | 4 | 6 | no | — |
| 204 | #1966 | — | 4 | 12 | no | — |
| 205 | #1962 | — | 4 | 6 | no | — |
| 206 | #1896 | — | 2 | 24 | no | — |
| 207 | #1888 | — | 2 | 24 | no | — |
| 208 | #1888 | — | 4 | 12 | no | — |
| 209 | #1784 | — | 2 | 6 | no | — |
| 210 | #1784 | C24 | 1 | 12 | yes | — |
| 211 | C4×#104 | — | 4 | 12 | no | — |
| 212 | #1599 | — | 4 | 48 | no | — |
| 213 | #1598 | — | 4 | 48 | no | — |
| 214 | #1597 | — | 4 | 96 | no | — |
| 215 | #1509 | — | 4 | 24 | no | — |
| 216 | #1504 | — | 2 | 48 | no | — |
| 217 | #1503 | — | 4 | 12 | no | — |
| 218 | #1502 | — | 4 | 12 | no | — |
| 219 | #1467 | — | 4 | 12 | no | — |
| 220 | #1463 | — | 2 | 24 | no | — |
| 221 | #1461 | — | 4 | 6 | no | — |
| 222 | #1461 | — | 4 | 6 | no | — |
| 223 | #1446 | — | 2 | 12 | no | — |
| 224 | #1446 | C2×D4 | 1 | 6 | yes | — |
| 225 | #1446 | C24 | 1 | 6 | yes | — |
| 226 | #1442 | — | 2 | 24 | no | — |
| 227 | #1440 | — | 2 | 12 | no | — |
| 228 | #1439 | — | 2 | 24 | no | — |
| 229 | #1439 | — | 2 | 24 | no | — |
| 230 | #1439 | — | 2 | 24 | no | — |
| 231 | #1439 | — | 2 | 24 | no | — |
| 232 | #1439 | — | 2 | 24 | no | — |
| 233 | #1438 | — | 2 | 12 | no | — |
| 234 | #1438 | — | 2 | 24 | no | — |
| 235 | #1438 | — | 2 | 24 | no | — |
| 236 | #1438 | — | 2 | 12 | no | — |
| 237 | #1438 | — | 2 | 6 | no | — |
| 238 | #1437 | — | 2 | 24 | no | — |
| 239 | #1437 | — | 2 | 12 | no | — |
| 240 | #1437 | — | 2 | 12 | no | — |
| 241 | #1437 | — | 2 | 12 | no | — |
| 242 | #1436 | C2×D4 | 1 | 24 | yes | — |
| 243 | C4⋊#95 | — | 2 | 6 | no | — |
| 244 | C4⋊#95 | — | 2 | 12 | no | — |
| 245 | #1434 | — | 2 | 12 | no | — |
| 246 | C4×#95 | — | 2 | 12 | no | — |
| 247 | C26 | — | 2 | 2 | no | — |
| 248 | C2×2−1+4 | — | 2 | 6 | no | — |
| 249 | C2×2−1+4 | — | 4 | 2 | no | — |
| 250 | C2×2−1+4 | — | 4 | 2 | no | — |
| 251 | C2×2−1+4 | H(5,𝔽2) | 1 | 4 | yes | — |
| 252 | C23×Q8 | — | 2 | 2 | no | — |
| 253 | C23×Q8 | — | 2 | 4 | no | — |
| 254 | C23×Q8 | #120 | 1 | 2 | yes | — |
| 255 | C23×Q8 | #120 | 1 | 2 | yes | — |
| 256 | C23×Q8 | C22×D4 | 1 | 3 | yes | — |
| 257 | C23×Q8 | C25 | 1 | 1 | yes | characteristic |
| 258 | C23×D4 | — | 2 | 6 | no | — |
| 259 | C23×D4 | — | 2 | 12 | no | — |
| 260 | C23×D4 | — | 2 | 6 | no | — |
| 261 | C23×D4 | C22×D4 | 1 | 6 | yes | — |
| 262 | C2×AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 263 | #563 | — | 4 | 24 | no | — |
| 264 | #563 | — | 4 | 48 | no | — |
| 265 | #563 | — | 4 | 24 | no | — |
| 266 | #563 | — | 4 | 24 | no | — |
| 267 | #563 | — | 4 | 24 | no | — |
| 268 | H(3,𝔽4) | — | 4 | 32 | no | — |
| 269 | H(3,𝔽4) | — | 8 | 48 | no | — |
| 270 | H(3,𝔽4) | — | 8 | 96 | no | — |
| 271 | H(3,𝔽4) | — | 8 | 32 | no | — |
| 272 | #559 | — | 4 | 12 | no | — |
| 273 | #559 | — | 4 | 24 | no | — |
| 274 | Q82 | — | 4 | 12 | no | — |
| 275 | Q82 | — | 4 | 4 | no | — |
| 276 | Q82 | — | 4 | 24 | no | — |
| 277 | Q82 | — | 4 | 12 | no | — |
| 278 | Q82 | — | 4 | 24 | no | — |
| 279 | Q82 | — | 4 | 12 | no | — |
| 280 | Q82 | — | 4 | 24 | no | — |
| 281 | #557 | — | 4 | 24 | no | — |
| 282 | #557 | — | 4 | 24 | no | — |
| 283 | #557 | — | 4 | 12 | no | — |
| 284 | #557 | — | 4 | 12 | no | — |
| 285 | #557 | — | 4 | 24 | no | — |
| 286 | #557 | — | 4 | 48 | no | — |
| 287 | #556 | — | 4 | 24 | no | — |
| 288 | #556 | — | 4 | 24 | no | — |
| 289 | #556 | — | 4 | 12 | no | — |
| 290 | #556 | — | 4 | 24 | no | — |
| 291 | #556 | — | 4 | 48 | no | — |
| 292 | #556 | — | 4 | 48 | no | — |
| 293 | #555 | — | 4 | 12 | no | — |
| 294 | #555 | — | 4 | 24 | no | — |
| 295 | #554 | — | 4 | 48 | no | — |
| 296 | #554 | — | 4 | 12 | no | — |
| 297 | #554 | — | 4 | 24 | no | — |
| 298 | #554 | — | 4 | 24 | no | — |
| 299 | #554 | — | 4 | 24 | no | — |
| 300 | #554 | — | 4 | 48 | no | — |
| 301 | #553 | — | 4 | 48 | no | — |
| 302 | #553 | — | 4 | 24 | no | — |
| 303 | #552 | — | 4 | 48 | no | — |
| 304 | #552 | — | 4 | 24 | no | — |
| 305 | #552 | — | 4 | 24 | no | — |
| 306 | #552 | — | 4 | 48 | no | — |
| 307 | #550 | — | 4 | 12 | no | — |
| 308 | D4×Q8 | — | 4 | 24 | no | — |
| 309 | D4×Q8 | — | 4 | 8 | no | — |
| 310 | D4×Q8 | — | 4 | 24 | no | — |
| 311 | D4×Q8 | — | 4 | 12 | no | — |
| 312 | D4×Q8 | — | 4 | 8 | no | — |
| 313 | D4×Q8 | — | 4 | 8 | no | — |
| 314 | D4×Q8 | — | 4 | 16 | no | — |
| 315 | D4×Q8 | — | 4 | 48 | no | — |
| 316 | #548 | — | 4 | 24 | no | — |
| 317 | #548 | — | 4 | 8 | no | — |
| 318 | #548 | — | 4 | 24 | no | — |
| 319 | #548 | — | 4 | 8 | no | — |
| 320 | #548 | — | 4 | 8 | no | — |
| 321 | #548 | — | 4 | 16 | no | — |
| 322 | #547 | — | 4 | 48 | no | — |
| 323 | #547 | — | 4 | 24 | no | — |
| 324 | #547 | — | 4 | 24 | no | — |
| 325 | #547 | — | 4 | 48 | no | — |
| 326 | #544 | — | 2 | 24 | no | — |
| 327 | #544 | — | 4 | 6 | no | — |
| 328 | #544 | — | 4 | 48 | no | — |
| 329 | #544 | — | 4 | 48 | no | — |
| 330 | #544 | — | 4 | 48 | no | — |
| 331 | #542 | — | 4 | 48 | no | — |
| 332 | #542 | — | 4 | 24 | no | — |
| 333 | #542 | — | 4 | 48 | no | — |
| 334 | #542 | — | 4 | 48 | no | — |
| 335 | #542 | — | 4 | 48 | no | — |
| 336 | #541 | — | 4 | 48 | no | — |
| 337 | #541 | — | 4 | 24 | no | — |
| 338 | #541 | — | 4 | 24 | no | — |
| 339 | #541 | — | 4 | 48 | no | — |
| 340 | #539 | — | 2 | 48 | no | — |
| 341 | #539 | — | 4 | 24 | no | — |
| 342 | #539 | — | 4 | 24 | no | — |
| 343 | #537 | — | 2 | 24 | no | — |
| 344 | #537 | — | 4 | 6 | no | — |
| 345 | #536 | — | 2 | 12 | no | — |
| 346 | #536 | — | 2 | 12 | no | — |
| 347 | #536 | — | 4 | 12 | no | — |
| 348 | #536 | — | 4 | 12 | no | — |
| 349 | #536 | — | 4 | 12 | no | — |
| 350 | #536 | — | 4 | 12 | no | — |
| 351 | #536 | — | 4 | 24 | no | — |
| 352 | #536 | — | 4 | 24 | no | — |
| 353 | #536 | — | 4 | 12 | no | — |
| 354 | #533 | — | 2 | 6 | no | — |
| 355 | #533 | — | 2 | 12 | no | — |
| 356 | #533 | — | 4 | 12 | no | — |
| 357 | #533 | — | 4 | 48 | no | — |
| 358 | #533 | — | 4 | 24 | no | — |
| 359 | #533 | — | 4 | 6 | no | — |
| 360 | #533 | — | 4 | 24 | no | — |
| 361 | #533 | — | 4 | 48 | no | — |
| 362 | #532 | — | 2 | 12 | no | — |
| 363 | #532 | — | 2 | 6 | no | — |
| 364 | #532 | — | 4 | 12 | no | — |
| 365 | #532 | — | 4 | 12 | no | — |
| 366 | #532 | — | 4 | 6 | no | — |
| 367 | #532 | — | 4 | 24 | no | — |
| 368 | C2×C4⋊Q8 | — | 2 | 12 | no | — |
| 369 | C2×C4⋊Q8 | — | 4 | 12 | no | — |
| 370 | C2×C4⋊Q8 | — | 4 | 12 | no | — |
| 371 | C2×C4⋊Q8 | — | 4 | 6 | no | — |
| 372 | C2×C4⋊Q8 | — | 4 | 6 | no | — |
| 373 | C2×C4⋊Q8 | — | 4 | 12 | no | — |
| 374 | C2×C4⋊Q8 | — | 4 | 12 | no | — |
| 375 | C2×C4⋊Q8 | — | 4 | 24 | no | — |
| 376 | C2×#127 | — | 4 | 6 | no | — |
| 377 | C2×#127 | — | 4 | 6 | no | — |
| 378 | C2×#127 | — | 4 | 6 | no | — |
| 379 | #529 | — | 2 | 24 | no | — |
| 380 | #529 | — | 4 | 12 | no | — |
| 381 | #529 | — | 4 | 12 | no | — |
| 382 | #529 | — | 4 | 24 | no | — |
| 383 | #529 | — | 4 | 24 | no | — |
| 384 | #529 | — | 4 | 48 | no | — |
| 385 | #529 | — | 4 | 24 | no | — |
| 386 | #529 | — | 4 | 24 | no | — |
| 387 | C2×#124 | — | 2 | 24 | no | — |
| 388 | C2×#124 | — | 4 | 12 | no | — |
| 389 | C2×#124 | — | 4 | 24 | no | — |
| 390 | C2×#124 | — | 4 | 48 | no | — |
| 391 | C2×#124 | — | 4 | 12 | no | — |
| 392 | C2×#124 | — | 4 | 6 | no | — |
| 393 | C2×#124 | — | 4 | 6 | no | — |
| 394 | C2×#124 | — | 8 | 12 | no | — |
| 395 | C2×#124 | — | 8 | 12 | no | — |
| 396 | C2×#124 | — | 8 | 12 | no | — |
| 397 | C2×#124 | — | 8 | 48 | no | — |
| 398 | C2×#124 | — | 8 | 12 | no | — |
| 399 | C2×#124 | — | 8 | 12 | no | — |
| 400 | C2×#124 | — | 8 | 12 | no | — |
| 401 | #525 | — | 2 | 12 | no | — |
| 402 | #525 | — | 4 | 12 | no | — |
| 403 | #525 | — | 4 | 12 | no | — |
| 404 | C2×#120 | — | 8 | 12 | no | — |
| 405 | C2×#120 | — | 8 | 48 | no | — |
| 406 | C2×#120 | — | 8 | 24 | no | — |
| 407 | C2×#120 | — | 8 | 12 | no | — |
| 408 | C2×#120 | — | 8 | 12 | no | — |
| 409 | #520 | — | 4 | 24 | no | — |
| 410 | #520 | — | 4 | 12 | no | — |
| 411 | #520 | — | 4 | 24 | no | — |
| 412 | #519 | — | 2 | 6 | no | — |
| 413 | #519 | — | 4 | 24 | no | — |
| 414 | #519 | — | 4 | 2 | no | — |
| 415 | #519 | — | 4 | 2 | no | — |
| 416 | #519 | H(5,𝔽2) | 1 | 4 | yes | — |
| 417 | C4×#41 | — | 2 | 12 | no | — |
| 418 | C4×#41 | — | 4 | 12 | no | — |
| 419 | C4×#41 | — | 4 | 24 | no | — |
| 420 | C4×#41 | — | 4 | 24 | no | — |
| 421 | C4×#41 | — | 4 | 12 | no | — |
| 422 | C2×C4×Q8 | — | 2 | 6 | no | — |
| 423 | C2×C4×Q8 | — | 2 | 12 | no | — |
| 424 | C2×C4×Q8 | — | 2 | 6 | no | — |
| 425 | C2×C4×Q8 | — | 4 | 6 | no | — |
| 426 | C2×C4×Q8 | — | 4 | 6 | no | — |
| 427 | C2×C4×Q8 | — | 4 | 12 | no | — |
| 428 | C2×C4×Q8 | — | 4 | 24 | no | — |
| 429 | C22×C4⋊C4 | — | 2 | 6 | no | — |
| 430 | C22×C4⋊C4 | — | 2 | 12 | no | — |
| 431 | C22×C4⋊C4 | #120 | 1 | 6 | yes | — |
| 432 | C22×C4⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 433 | C22×C22⋊C4 | — | 2 | 24 | no | — |
| 434 | C22×C22⋊C4 | — | 2 | 6 | no | — |
| 435 | C22×C22⋊C4 | — | 2 | 12 | no | — |
| 436 | C22×C22⋊C4 | — | 2 | 24 | no | — |
| 437 | C22×C22⋊C4 | — | 2 | 12 | no | — |
| 438 | C22×C22⋊C4 | — | 2 | 12 | no | — |
| 439 | C22×C22⋊C4 | — | 2 | 12 | no | — |
| 440 | C22×C22⋊C4 | — | 2 | 24 | no | — |
| 441 | C22×C42 | — | 2 | 6 | no | — |
| 442 | C22×C42 | — | 2 | 6 | no | — |
| 443 | C22×C42 | #120 | 1 | 6 | yes | — |
| 444 | C22×C42 | C22×D4 | 1 | 3 | yes | — |
| 445 | C22×C42 | C22×D4 | 1 | 6 | yes | — |
| 446 | #496 | — | 8 | 12 | no | — |
| 447 | #493 | — | 8 | 6 | no | — |
| 448 | #492 | — | 8 | 6 | no | — |
| 449 | #490 | — | 8 | 12 | no | — |
| 450 | #486 | — | 8 | 12 | no | — |
| 451 | #460 | — | 8 | 24 | no | — |
| 452 | #459 | — | 8 | 24 | no | — |
| 453 | #454 | — | 8 | 48 | no | — |
| 454 | #454 | — | 16 | 24 | no | — |
| 455 | #450 | — | 4 | 48 | no | — |
| 456 | #447 | — | 4 | 48 | no | — |
| 457 | #432 | — | 4 | 12 | no | — |
| 458 | #431 | — | 4 | 12 | no | — |
| 459 | #423 | — | 4 | 6 | no | — |
| 460 | C2×#104 | — | 4 | 24 | no | — |
| 461 | #418 | — | 4 | 24 | no | — |
| 462 | C2×#101 | — | 2 | 24 | no | — |
| 463 | C2×#101 | — | 4 | 12 | no | — |
| 464 | #407 | — | 2 | 12 | no | — |
| 465 | C4×M16 | — | 4 | 6 | no | — |
| 466 | #395 | — | 8 | 24 | no | — |
| 467 | #394 | — | 4 | 24 | no | — |
| 468 | #394 | — | 4 | 24 | no | — |
| 469 | #394 | — | 8 | 48 | no | — |
| 470 | #394 | — | 8 | 24 | no | — |
| 471 | #393 | — | 4 | 48 | no | — |
| 472 | #393 | — | 8 | 24 | no | — |
| 473 | #393 | — | 8 | 48 | no | — |
| 474 | #393 | — | 8 | 24 | no | — |
| 475 | #392 | — | 8 | 24 | no | — |
| 476 | #392 | — | 8 | 48 | no | — |
| 477 | #392 | — | 8 | 24 | no | — |
| 478 | #391 | — | 4 | 24 | no | — |
| 479 | #391 | — | 8 | 24 | no | — |
| 480 | #390 | — | 8 | 12 | no | — |
| 481 | #390 | — | 8 | 12 | no | — |
| 482 | #390 | — | 8 | 24 | no | — |
| 483 | #390 | — | 8 | 6 | no | — |
| 484 | #390 | — | 8 | 6 | no | — |
| 485 | #390 | — | 8 | 24 | no | — |
| 486 | #388 | — | 8 | 48 | no | — |
| 487 | #382 | — | 8 | 12 | no | — |
| 488 | #379 | — | 8 | 24 | no | — |
| 489 | C4×C4⋊C4 | — | 4 | 6 | no | — |
| 490 | C4×C4⋊C4 | — | 4 | 6 | no | — |
| 491 | C2×#95 | — | 2 | 12 | no | — |
| 492 | C2×#95 | — | 2 | 24 | no | — |
| 493 | C2×#95 | — | 2 | 24 | no | — |
| 494 | C2×#95 | — | 2 | 12 | no | — |
| 495 | C2×#95 | — | 2 | 12 | no | — |
| 496 | C2×#95 | — | 2 | 12 | no | — |
| 497 | C2×#95 | — | 2 | 12 | no | — |
| 498 | C2×#95 | C22×D4 | 1 | 12 | yes | — |
| 499 | C43 | — | 4 | 6 | no | — |
| 500 | #355 | — | 8 | 48 | no | — |
| 501 | #339 | — | 4 | 24 | no | — |
| 502 | #328 | — | 4 | 48 | no | — |
| 503 | #327 | — | 4 | 48 | no | — |
| 504 | #324 | — | 4 | 24 | no | — |
| 505 | #324 | — | 4 | 24 | no | — |
| 506 | C25 | — | 2 | 6 | no | — |
| 507 | C25 | — | 8 | 4 | no | — |
| 508 | C25 | — | 8 | 8 | no | — |
| 509 | C25 | — | 8 | 2 | no | — |
| 510 | C25 | — | 8 | 4 | no | — |
| 511 | C25 | — | 8 | 8 | no | — |
| 512 | C25 | — | 8 | 4 | no | — |
| 513 | 2−1+4 | — | 8 | 8 | no | — |
| 514 | 2−1+4 | — | 8 | 8 | no | — |
| 515 | 2−1+4 | — | 8 | 8 | no | — |
| 516 | 2−1+4 | — | 16 | 12 | no | — |
| 517 | 2−1+4 | — | 32 | 4 | no | — |
| 518 | C2×#41 | — | 2 | 12 | no | — |
| 519 | C2×#41 | — | 4 | 12 | no | — |
| 520 | C2×#41 | — | 4 | 4 | no | — |
| 521 | C2×#41 | — | 4 | 12 | no | — |
| 522 | C2×#41 | — | 4 | 8 | no | — |
| 523 | C2×#41 | — | 4 | 8 | no | — |
| 524 | C2×#41 | — | 4 | 12 | no | — |
| 525 | C22×Q8 | — | 2 | 8 | no | — |
| 526 | C22×Q8 | — | 2 | 8 | no | — |
| 527 | C22×Q8 | — | 2 | 6 | no | — |
| 528 | C22×Q8 | — | 4 | 2 | no | — |
| 529 | C22×Q8 | — | 4 | 2 | no | — |
| 530 | C22×Q8 | — | 4 | 2 | no | — |
| 531 | C22×Q8 | — | 4 | 4 | no | — |
| 532 | C22×Q8 | — | 4 | 6 | no | — |
| 533 | C22×Q8 | — | 4 | 2 | no | — |
| 534 | C22×Q8 | — | 4 | 4 | no | — |
| 535 | C22×Q8 | — | 4 | 12 | no | — |
| 536 | C22×Q8 | — | 4 | 8 | no | — |
| 537 | C22×Q8 | — | 4 | 8 | no | — |
| 538 | C22×Q8 | — | 8 | 2 | no | — |
| 539 | C22×Q8 | — | 8 | 2 | no | — |
| 540 | C22×Q8 | — | 8 | 2 | no | — |
| 541 | C22×Q8 | — | 8 | 2 | no | — |
| 542 | C22×Q8 | — | 8 | 8 | no | — |
| 543 | C22×Q8 | — | 8 | 4 | no | — |
| 544 | C22×Q8 | — | 8 | 4 | no | — |
| 545 | C22×Q8 | — | 8 | 4 | no | — |
| 546 | C22×Q8 | — | 8 | 6 | no | — |
| 547 | C22×Q8 | — | 8 | 4 | no | — |
| 548 | C22×Q8 | — | 8 | 4 | no | — |
| 549 | C22×Q8 | — | 8 | 8 | no | — |
| 550 | C22×Q8 | — | 8 | 4 | no | — |
| 551 | C22×Q8 | B(4,𝔽2) | 1 | 6 | yes | — |
| 552 | C22×Q8 | B(4,𝔽2) | 1 | 2 | yes | — |
| 553 | C22×Q8 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 554 | C22×D4 | — | 2 | 12 | no | — |
| 555 | C22×D4 | — | 4 | 24 | no | — |
| 556 | C22×D4 | — | 4 | 12 | no | — |
| 557 | C22×D4 | — | 4 | 12 | no | — |
| 558 | C22×D4 | — | 4 | 6 | no | — |
| 559 | C22×D4 | — | 4 | 6 | no | — |
| 560 | C22×D4 | — | 8 | 6 | no | — |
| 561 | C22×D4 | — | 8 | 6 | no | — |
| 562 | C22×D4 | — | 8 | 6 | no | — |
| 563 | C22×D4 | — | 8 | 6 | no | — |
| 564 | C22×D4 | — | 8 | 6 | no | — |
| 565 | C22×D4 | — | 8 | 24 | no | — |
| 566 | C22×D4 | — | 8 | 12 | no | — |
| 567 | C22×D4 | — | 8 | 6 | no | — |
| 568 | C22×D4 | — | 8 | 12 | no | — |
| 569 | C22×D4 | — | 8 | 12 | no | — |
| 570 | C22×D4 | — | 8 | 12 | no | — |
| 571 | C22×D4 | — | 8 | 12 | no | — |
| 572 | C22×D4 | — | 8 | 24 | no | — |
| 573 | C22×D4 | — | 8 | 12 | no | — |
| 574 | C23×C4 | — | 2 | 6 | no | — |
| 575 | C23×C4 | — | 2 | 12 | no | — |
| 576 | C23×C4 | C2×#120 | 1 | 6 | yes | — |
| 577 | C23×C4 | C2×#120 | 1 | 6 | yes | — |
| 578 | C23×C4 | C23×D4 | 1 | 3 | yes | — |
| 579 | AGL(1,ℤ/8) | — | 16 | 24 | no | — |
| 580 | AGL(1,ℤ/8) | — | 16 | 24 | no | — |
| 581 | C2×SD16 | — | 8 | 24 | no | — |
| 582 | C2×D8 | — | 8 | 24 | no | — |
| 583 | C2×M16 | — | 4 | 12 | no | — |
| 584 | C4⋊Q8 | — | 2 | 12 | no | — |
| 585 | C4⋊Q8 | — | 2 | 6 | no | — |
| 586 | C4⋊Q8 | — | 4 | 12 | no | — |
| 587 | C4⋊Q8 | — | 4 | 12 | no | — |
| 588 | C4⋊Q8 | — | 4 | 24 | no | — |
| 589 | C4⋊Q8 | — | 4 | 48 | no | — |
| 590 | C4⋊Q8 | — | 4 | 12 | no | — |
| 591 | C4⋊Q8 | — | 4 | 12 | no | — |
| 592 | C4⋊Q8 | — | 4 | 6 | no | — |
| 593 | C4⋊Q8 | — | 4 | 24 | no | — |
| 594 | C4⋊Q8 | — | 4 | 24 | no | — |
| 595 | C4⋊Q8 | — | 4 | 48 | no | — |
| 596 | C4⋊Q8 | — | 4 | 24 | no | — |
| 597 | C4⋊Q8 | — | 4 | 24 | no | — |
| 598 | C4⋊Q8 | — | 4 | 24 | no | — |
| 599 | C4⋊Q8 | — | 4 | 12 | no | — |
| 600 | C4⋊Q8 | — | 4 | 24 | no | — |
| 601 | #127 | — | 2 | 6 | no | — |
| 602 | #127 | — | 4 | 6 | no | — |
| 603 | #127 | — | 8 | 12 | no | — |
| 604 | #127 | — | 8 | 6 | no | — |
| 605 | #127 | — | 8 | 6 | no | — |
| 606 | #126 | — | 4 | 24 | no | — |
| 607 | #126 | — | 4 | 48 | no | — |
| 608 | #126 | — | 4 | 48 | no | — |
| 609 | #126 | — | 4 | 48 | no | — |
| 610 | #126 | — | 4 | 48 | no | — |
| 611 | #125 | — | 2 | 12 | no | — |
| 612 | #125 | — | 4 | 12 | no | — |
| 613 | #125 | — | 4 | 48 | no | — |
| 614 | #125 | — | 4 | 48 | no | — |
| 615 | #125 | — | 4 | 12 | no | — |
| 616 | #125 | — | 4 | 24 | no | — |
| 617 | #125 | — | 4 | 24 | no | — |
| 618 | #125 | — | 4 | 48 | no | — |
| 619 | #125 | — | 4 | 48 | no | — |
| 620 | #124 | — | 2 | 12 | no | — |
| 621 | #124 | — | 4 | 12 | no | — |
| 622 | #124 | — | 4 | 48 | no | — |
| 623 | #124 | — | 4 | 12 | no | — |
| 624 | #124 | — | 4 | 12 | no | — |
| 625 | #124 | — | 4 | 24 | no | — |
| 626 | #124 | — | 4 | 12 | no | — |
| 627 | #124 | — | 4 | 24 | no | — |
| 628 | #124 | — | 4 | 24 | no | — |
| 629 | #124 | — | 4 | 24 | no | — |
| 630 | #124 | — | 8 | 48 | no | — |
| 631 | #124 | — | 8 | 24 | no | — |
| 632 | #124 | — | 8 | 24 | no | — |
| 633 | #124 | — | 8 | 48 | no | — |
| 634 | #124 | — | 8 | 48 | no | — |
| 635 | #124 | — | 8 | 24 | no | — |
| 636 | #124 | — | 8 | 96 | no | — |
| 637 | #124 | — | 8 | 96 | no | — |
| 638 | #124 | — | 8 | 24 | no | — |
| 639 | #124 | — | 16 | 12 | no | — |
| 640 | #123 | — | 4 | 24 | no | — |
| 641 | #123 | — | 4 | 48 | no | — |
| 642 | #123 | — | 4 | 48 | no | — |
| 643 | #123 | — | 4 | 48 | no | — |
| 644 | #123 | — | 4 | 12 | no | — |
| 645 | #123 | — | 4 | 24 | no | — |
| 646 | C22⋊Q8 | — | 2 | 24 | no | — |
| 647 | C22⋊Q8 | — | 4 | 48 | no | — |
| 648 | C22⋊Q8 | — | 4 | 24 | no | — |
| 649 | C22⋊Q8 | — | 4 | 24 | no | — |
| 650 | C22⋊Q8 | — | 4 | 12 | no | — |
| 651 | C22⋊Q8 | — | 4 | 12 | no | — |
| 652 | C22⋊Q8 | — | 4 | 24 | no | — |
| 653 | C22⋊Q8 | — | 4 | 48 | no | — |
| 654 | C22⋊Q8 | — | 4 | 24 | no | — |
| 655 | C22⋊Q8 | — | 4 | 24 | no | — |
| 656 | C22⋊Q8 | — | 4 | 24 | no | — |
| 657 | C22⋊Q8 | — | 4 | 48 | no | — |
| 658 | C22⋊Q8 | — | 4 | 48 | no | — |
| 659 | C22⋊Q8 | — | 4 | 48 | no | — |
| 660 | C22⋊Q8 | — | 4 | 48 | no | — |
| 661 | #121 | — | 2 | 24 | no | — |
| 662 | #121 | — | 4 | 12 | no | — |
| 663 | #121 | — | 4 | 12 | no | — |
| 664 | #121 | — | 4 | 24 | no | — |
| 665 | #121 | — | 4 | 48 | no | — |
| 666 | #121 | — | 4 | 24 | no | — |
| 667 | #120 | — | 4 | 4 | no | — |
| 668 | #120 | — | 8 | 96 | no | — |
| 669 | #120 | — | 8 | 96 | no | — |
| 670 | #120 | — | 8 | 96 | no | — |
| 671 | C4×Q8 | — | 2 | 24 | no | — |
| 672 | C4×Q8 | — | 4 | 12 | no | — |
| 673 | C4×Q8 | — | 4 | 12 | no | — |
| 674 | C4×Q8 | — | 4 | 12 | no | — |
| 675 | C4×Q8 | — | 4 | 24 | no | — |
| 676 | C4×Q8 | — | 4 | 24 | no | — |
| 677 | C4×Q8 | — | 4 | 12 | no | — |
| 678 | C4×Q8 | — | 4 | 12 | no | — |
| 679 | C4×Q8 | — | 4 | 12 | no | — |
| 680 | C4×Q8 | — | 4 | 8 | no | — |
| 681 | C4×Q8 | — | 4 | 24 | no | — |
| 682 | C4×Q8 | — | 4 | 8 | no | — |
| 683 | C4×Q8 | — | 4 | 24 | no | — |
| 684 | C4×Q8 | — | 4 | 48 | no | — |
| 685 | C4×Q8 | — | 4 | 24 | no | — |
| 686 | C4×Q8 | — | 4 | 8 | no | — |
| 687 | C4×Q8 | — | 4 | 24 | no | — |
| 688 | C4×Q8 | — | 4 | 24 | no | — |
| 689 | C4×Q8 | — | 4 | 16 | no | — |
| 690 | C4×D4 | — | 2 | 24 | no | — |
| 691 | C4×D4 | — | 4 | 12 | no | — |
| 692 | C4×D4 | — | 4 | 12 | no | — |
| 693 | C4×D4 | — | 4 | 24 | no | — |
| 694 | C4×D4 | — | 4 | 24 | no | — |
| 695 | C4×D4 | — | 4 | 24 | no | — |
| 696 | C4×D4 | — | 4 | 48 | no | — |
| 697 | C4×D4 | — | 4 | 24 | no | — |
| 698 | C4×D4 | — | 4 | 24 | no | — |
| 699 | C4×D4 | — | 4 | 48 | no | — |
| 700 | C4×D4 | — | 4 | 24 | no | — |
| 701 | C4×D4 | — | 4 | 24 | no | — |
| 702 | #117 | — | 2 | 12 | no | — |
| 703 | #117 | — | 4 | 12 | no | — |
| 704 | #117 | — | 4 | 24 | no | — |
| 705 | #117 | — | 4 | 12 | no | — |
| 706 | #117 | — | 4 | 48 | no | — |
| 707 | #117 | — | 4 | 48 | no | — |
| 708 | #117 | — | 4 | 24 | no | — |
| 709 | #117 | — | 4 | 24 | no | — |
| 710 | #117 | — | 4 | 12 | no | — |
| 711 | C2×C4⋊C4 | — | 2 | 24 | no | — |
| 712 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 713 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 714 | C2×C4⋊C4 | — | 2 | 12 | no | — |
| 715 | C2×C4⋊C4 | — | 2 | 12 | no | — |
| 716 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 717 | C2×C4⋊C4 | — | 4 | 6 | no | — |
| 718 | C2×C4⋊C4 | — | 4 | 12 | no | — |
| 719 | C2×C4⋊C4 | — | 4 | 48 | no | — |
| 720 | C2×C4⋊C4 | — | 4 | 24 | no | — |
| 721 | C2×C4⋊C4 | — | 4 | 12 | no | — |
| 722 | C2×C4⋊C4 | — | 8 | 6 | no | — |
| 723 | C2×C4⋊C4 | — | 8 | 6 | no | — |
| 724 | C2×C4⋊C4 | — | 8 | 12 | no | — |
| 725 | C2×C4⋊C4 | — | 8 | 12 | no | — |
| 726 | C2×C4⋊C4 | — | 8 | 12 | no | — |
| 727 | C2×C22⋊C4 | — | 4 | 48 | no | — |
| 728 | C2×C22⋊C4 | — | 4 | 48 | no | — |
| 729 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 730 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 731 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 732 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 733 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 734 | C2×C22⋊C4 | — | 4 | 24 | no | — |
| 735 | C2×C22⋊C4 | — | 4 | 48 | no | — |
| 736 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 737 | C2×C22⋊C4 | — | 8 | 6 | no | — |
| 738 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 739 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 740 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 741 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 742 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 743 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 744 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 745 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 746 | C2×C22⋊C4 | — | 8 | 12 | no | — |
| 747 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 748 | C2×C22⋊C4 | — | 8 | 24 | no | — |
| 749 | C2×C42 | — | 2 | 6 | no | — |
| 750 | C2×C42 | — | 2 | 6 | no | — |
| 751 | C2×C42 | — | 2 | 6 | no | — |
| 752 | C2×C42 | — | 2 | 12 | no | — |
| 753 | C2×C42 | — | 2 | 12 | no | — |
| 754 | C2×C42 | — | 2 | 12 | no | — |
| 755 | C2×C42 | — | 4 | 12 | no | — |
| 756 | C2×C42 | — | 4 | 12 | no | — |
| 757 | C2×C42 | — | 4 | 6 | no | — |
| 758 | C2×C42 | — | 4 | 24 | no | — |
| 759 | C2×C42 | — | 4 | 24 | no | — |
| 760 | C2×C42 | — | 4 | 6 | no | — |
| 761 | C2×C42 | — | 4 | 6 | no | — |
| 762 | C2×C42 | — | 4 | 12 | no | — |
| 763 | C2×C42 | — | 8 | 6 | no | — |
| 764 | C2×C42 | — | 8 | 6 | no | — |
| 765 | C4⋊C8 | — | 8 | 12 | no | — |
| 766 | #104 | — | 8 | 48 | no | — |
| 767 | #102 | — | 8 | 48 | no | — |
| 768 | #101 | — | 8 | 24 | no | — |
| 769 | #101 | — | 16 | 12 | no | — |
| 770 | C22⋊C8 | — | 4 | 24 | no | — |
| 771 | #97 | — | 8 | 6 | no | — |
| 772 | C4×C8 | — | 8 | 6 | no | — |
| 773 | #95 | — | 4 | 12 | no | — |
| 774 | #95 | — | 4 | 24 | no | — |
| 775 | #95 | — | 4 | 48 | no | — |
| 776 | #95 | — | 4 | 48 | no | — |
| 777 | #95 | — | 8 | 12 | no | — |
| 778 | #95 | — | 8 | 12 | no | — |
| 779 | #95 | — | 8 | 12 | no | — |
| 780 | #95 | — | 8 | 12 | no | — |
| 781 | C24 | — | 4 | 12 | no | — |
| 782 | C24 | — | 4 | 12 | no | — |
| 783 | C24 | — | 4 | 24 | no | — |
| 784 | C24 | — | 4 | 24 | no | — |
| 785 | C24 | — | 4 | 6 | no | — |
| 786 | C24 | — | 4 | 12 | no | — |
| 787 | C24 | — | 8 | 8 | no | — |
| 788 | C24 | — | 8 | 16 | no | — |
| 789 | C24 | — | 8 | 16 | no | — |
| 790 | C24 | — | 32 | 8 | no | — |
| 791 | C24 | — | 32 | 4 | no | — |
| 792 | C24 | — | 32 | 8 | no | — |
| 793 | C24 | — | 32 | 8 | no | — |
| 794 | C24 | — | 32 | 8 | no | — |
| 795 | C24 | — | 32 | 8 | no | — |
| 796 | C24 | — | 32 | 4 | no | — |
| 797 | C24 | — | 32 | 4 | no | — |
| 798 | C24 | — | 32 | 2 | no | — |
| 799 | C24 | — | 32 | 2 | no | — |
| 800 | C24 | — | 32 | 4 | no | — |
| 801 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 802 | #41 | — | 8 | 24 | no | — |
| 803 | #41 | — | 8 | 24 | no | — |
| 804 | #41 | — | 8 | 32 | no | — |
| 805 | #41 | — | 8 | 24 | no | — |
| 806 | #41 | — | 16 | 24 | no | — |
| 807 | #41 | — | 32 | 4 | no | — |
| 808 | #41 | — | 32 | 12 | no | — |
| 809 | #41 | — | 32 | 8 | no | — |
| 810 | C2×Q8 | — | 2 | 12 | no | — |
| 811 | C2×Q8 | — | 2 | 12 | no | — |
| 812 | C2×Q8 | — | 4 | 2 | no | — |
| 813 | C2×Q8 | — | 4 | 2 | no | — |
| 814 | C2×Q8 | — | 4 | 6 | no | — |
| 815 | C2×Q8 | — | 4 | 6 | no | — |
| 816 | C2×Q8 | — | 4 | 8 | no | — |
| 817 | C2×Q8 | — | 4 | 4 | no | — |
| 818 | C2×Q8 | — | 4 | 12 | no | — |
| 819 | C2×Q8 | — | 4 | 12 | no | — |
| 820 | C2×Q8 | — | 4 | 12 | no | — |
| 821 | C2×Q8 | — | 4 | 8 | no | — |
| 822 | C2×Q8 | — | 8 | 12 | no | — |
| 823 | C2×Q8 | — | 8 | 8 | no | — |
| 824 | C2×Q8 | — | 8 | 8 | no | — |
| 825 | C2×Q8 | — | 8 | 8 | no | — |
| 826 | C2×Q8 | — | 8 | 16 | no | — |
| 827 | C2×Q8 | — | 8 | 32 | no | — |
| 828 | C2×Q8 | — | 8 | 16 | no | — |
| 829 | C2×Q8 | — | 16 | 4 | no | — |
| 830 | C2×Q8 | — | 32 | 2 | no | — |
| 831 | C2×Q8 | — | 32 | 6 | no | — |
| 832 | C2×Q8 | — | 32 | 4 | no | — |
| 833 | C2×Q8 | — | 32 | 4 | no | — |
| 834 | C2×Q8 | — | 32 | 2 | no | — |
| 835 | C2×Q8 | — | 32 | 2 | no | — |
| 836 | C2×Q8 | — | 32 | 8 | no | — |
| 837 | C2×Q8 | — | 32 | 4 | no | — |
| 838 | C2×Q8 | — | 32 | 8 | no | — |
| 839 | C2×Q8 | — | 32 | 4 | no | — |
| 840 | C2×Q8 | — | 32 | 4 | no | — |
| 841 | C2×Q8 | — | 32 | 12 | no | — |
| 842 | C2×Q8 | — | 32 | 8 | no | — |
| 843 | C2×Q8 | #2202 | 1 | 8 | yes | complemented |
| 844 | C2×D4 | — | 2 | 12 | no | — |
| 845 | C2×D4 | — | 4 | 12 | no | — |
| 846 | C2×D4 | — | 4 | 24 | no | — |
| 847 | C2×D4 | — | 4 | 4 | no | — |
| 848 | C2×D4 | — | 4 | 8 | no | — |
| 849 | C2×D4 | — | 4 | 12 | no | — |
| 850 | C2×D4 | — | 8 | 12 | no | — |
| 851 | C2×D4 | — | 8 | 12 | no | — |
| 852 | C2×D4 | — | 8 | 12 | no | — |
| 853 | C2×D4 | — | 8 | 24 | no | — |
| 854 | C2×D4 | — | 8 | 48 | no | — |
| 855 | C2×D4 | — | 8 | 12 | no | — |
| 856 | C2×D4 | — | 16 | 6 | no | — |
| 857 | C2×D4 | — | 16 | 6 | no | — |
| 858 | C2×D4 | — | 16 | 6 | no | — |
| 859 | C2×D4 | — | 16 | 6 | no | — |
| 860 | C2×D4 | — | 16 | 24 | no | — |
| 861 | C2×D4 | — | 16 | 24 | no | — |
| 862 | C2×D4 | — | 16 | 24 | no | — |
| 863 | C2×D4 | — | 32 | 12 | no | — |
| 864 | C2×D4 | — | 32 | 12 | no | — |
| 865 | C2×D4 | — | 32 | 6 | no | — |
| 866 | C2×D4 | — | 32 | 6 | no | — |
| 867 | C2×D4 | — | 32 | 24 | no | — |
| 868 | C2×D4 | — | 32 | 12 | no | — |
| 869 | C2×D4 | — | 32 | 24 | no | — |
| 870 | C2×D4 | — | 32 | 12 | no | — |
| 871 | C22×C4 | — | 2 | 6 | no | — |
| 872 | C22×C4 | — | 2 | 6 | no | — |
| 873 | C22×C4 | — | 2 | 6 | no | — |
| 874 | C22×C4 | — | 2 | 12 | no | — |
| 875 | C22×C4 | — | 2 | 12 | no | — |
| 876 | C22×C4 | — | 2 | 6 | no | — |
| 877 | C22×C4 | — | 2 | 12 | no | — |
| 878 | C22×C4 | — | 4 | 6 | no | — |
| 879 | C22×C4 | — | 4 | 6 | no | — |
| 880 | C22×C4 | — | 4 | 24 | no | — |
| 881 | C22×C4 | — | 4 | 12 | no | — |
| 882 | C22×C4 | — | 4 | 12 | no | — |
| 883 | C22×C4 | — | 4 | 6 | no | — |
| 884 | C22×C4 | — | 4 | 12 | no | — |
| 885 | C22×C4 | — | 4 | 6 | no | — |
| 886 | C22×C4 | — | 4 | 24 | no | — |
| 887 | C22×C4 | — | 4 | 12 | no | — |
| 888 | C22×C4 | — | 4 | 24 | no | — |
| 889 | C22×C4 | — | 4 | 12 | no | — |
| 890 | C22×C4 | — | 4 | 24 | no | — |
| 891 | C22×C4 | — | 4 | 12 | no | — |
| 892 | C22×C4 | — | 4 | 12 | no | — |
| 893 | C22×C4 | C2×B(4,𝔽2) | 1 | 6 | yes | — |
| 894 | C22×C4 | C2×B(4,𝔽2) | 1 | 6 | yes | — |
| 895 | C22×C4 | #3484 | 1 | 6 | yes | — |
| 896 | SD16 | — | 32 | 24 | no | — |
| 897 | D8 | — | 32 | 24 | no | — |
| 898 | M16 | — | 8 | 24 | no | — |
| 899 | C2×C8 | — | 8 | 12 | no | — |
| 900 | C4⋊C4 | — | 2 | 24 | no | — |
| 901 | C4⋊C4 | — | 4 | 24 | no | — |
| 902 | C4⋊C4 | — | 4 | 24 | no | — |
| 903 | C4⋊C4 | — | 4 | 12 | no | — |
| 904 | C4⋊C4 | — | 4 | 12 | no | — |
| 905 | C4⋊C4 | — | 4 | 12 | no | — |
| 906 | C4⋊C4 | — | 4 | 24 | no | — |
| 907 | C4⋊C4 | — | 4 | 12 | no | — |
| 908 | C4⋊C4 | — | 4 | 24 | no | — |
| 909 | C4⋊C4 | — | 4 | 24 | no | — |
| 910 | C4⋊C4 | — | 4 | 48 | no | — |
| 911 | C4⋊C4 | — | 4 | 24 | no | — |
| 912 | C4⋊C4 | — | 16 | 12 | no | — |
| 913 | C4⋊C4 | — | 32 | 12 | no | — |
| 914 | C22⋊C4 | — | 4 | 24 | no | — |
| 915 | C22⋊C4 | — | 4 | 24 | no | — |
| 916 | C22⋊C4 | — | 4 | 24 | no | — |
| 917 | C22⋊C4 | — | 4 | 48 | no | — |
| 918 | C22⋊C4 | — | 4 | 4 | no | — |
| 919 | C22⋊C4 | — | 4 | 8 | no | — |
| 920 | C22⋊C4 | — | 8 | 48 | no | — |
| 921 | C22⋊C4 | — | 8 | 48 | no | — |
| 922 | C22⋊C4 | — | 8 | 24 | no | — |
| 923 | C22⋊C4 | — | 8 | 48 | no | — |
| 924 | C22⋊C4 | — | 8 | 48 | no | — |
| 925 | C22⋊C4 | — | 16 | 24 | no | — |
| 926 | C22⋊C4 | — | 16 | 48 | no | — |
| 927 | C22⋊C4 | — | 32 | 24 | no | — |
| 928 | C22⋊C4 | — | 32 | 12 | no | — |
| 929 | C42 | — | 2 | 6 | no | — |
| 930 | C42 | — | 2 | 6 | no | — |
| 931 | C42 | — | 2 | 12 | no | — |
| 932 | C42 | — | 2 | 24 | no | — |
| 933 | C42 | — | 4 | 6 | no | — |
| 934 | C42 | — | 4 | 12 | no | — |
| 935 | C42 | — | 4 | 6 | no | — |
| 936 | C42 | — | 4 | 12 | no | — |
| 937 | C42 | — | 4 | 24 | no | — |
| 938 | C42 | — | 4 | 12 | no | — |
| 939 | C42 | — | 4 | 24 | no | — |
| 940 | C42 | — | 8 | 12 | no | — |
| 941 | C42 | — | 8 | 12 | no | — |
| 942 | C42 | — | 16 | 12 | no | — |
| 943 | C23 | — | 2 | 2 | no | — |
| 944 | C23 | — | 2 | 2 | no | — |
| 945 | C23 | — | 2 | 2 | no | — |
| 946 | C23 | — | 4 | 4 | no | — |
| 947 | C23 | — | 8 | 24 | no | — |
| 948 | C23 | — | 8 | 12 | no | — |
| 949 | C23 | — | 8 | 24 | no | — |
| 950 | C23 | — | 8 | 24 | no | — |
| 951 | C23 | — | 8 | 24 | no | — |
| 952 | C23 | — | 8 | 24 | no | — |
| 953 | C23 | — | 8 | 12 | no | — |
| 954 | C23 | — | 8 | 12 | no | — |
| 955 | C23 | — | 8 | 12 | no | — |
| 956 | C23 | — | 8 | 6 | no | — |
| 957 | C23 | — | 8 | 6 | no | — |
| 958 | C23 | — | 8 | 6 | no | — |
| 959 | C23 | — | 8 | 12 | no | — |
| 960 | C23 | — | 8 | 12 | no | — |
| 961 | C23 | — | 32 | 16 | no | — |
| 962 | C23 | — | 32 | 32 | no | — |
| 963 | C23 | — | 32 | 16 | no | — |
| 964 | C23 | — | 32 | 32 | no | — |
| 965 | C23 | — | 32 | 16 | no | — |
| 966 | C23 | — | 32 | 8 | no | — |
| 967 | C23 | #35346 | 1 | 1 | yes | characteristic |
| 968 | C23 | C22×B(4,𝔽2) | 1 | 2 | yes | — |
| 969 | Q8 | — | 4 | 8 | no | — |
| 970 | Q8 | — | 8 | 12 | no | — |
| 971 | Q8 | — | 8 | 24 | no | — |
| 972 | Q8 | — | 8 | 12 | no | — |
| 973 | Q8 | — | 16 | 4 | no | — |
| 974 | Q8 | — | 16 | 12 | no | — |
| 975 | Q8 | — | 16 | 8 | no | — |
| 976 | Q8 | — | 16 | 12 | no | — |
| 977 | Q8 | — | 32 | 8 | no | — |
| 978 | Q8 | — | 32 | 16 | no | — |
| 979 | D4 | — | 8 | 24 | no | — |
| 980 | D4 | — | 8 | 12 | no | — |
| 981 | D4 | — | 8 | 8 | no | — |
| 982 | D4 | — | 8 | 8 | no | — |
| 983 | D4 | — | 8 | 8 | no | — |
| 984 | D4 | — | 16 | 24 | no | — |
| 985 | D4 | — | 16 | 12 | no | — |
| 986 | D4 | — | 32 | 12 | no | — |
| 987 | D4 | — | 32 | 12 | no | — |
| 988 | D4 | — | 32 | 24 | no | — |
| 989 | D4 | — | 32 | 48 | no | — |
| 990 | C2×C4 | — | 2 | 6 | no | — |
| 991 | C2×C4 | — | 2 | 6 | no | — |
| 992 | C2×C4 | — | 2 | 6 | no | — |
| 993 | C2×C4 | — | 2 | 6 | no | — |
| 994 | C2×C4 | — | 2 | 12 | no | — |
| 995 | C2×C4 | — | 2 | 6 | no | — |
| 996 | C2×C4 | — | 2 | 6 | no | — |
| 997 | C2×C4 | — | 4 | 12 | no | — |
| 998 | C2×C4 | — | 4 | 12 | no | — |
| 999 | C2×C4 | — | 4 | 24 | no | — |
| 1000 | C2×C4 | — | 4 | 8 | no | — |
| 1001 | C2×C4 | — | 4 | 6 | no | — |
| 1002 | C2×C4 | — | 4 | 4 | no | — |
| 1003 | C2×C4 | — | 4 | 12 | no | — |
| 1004 | C2×C4 | — | 4 | 12 | no | — |
| 1005 | C2×C4 | — | 8 | 48 | no | — |
| 1006 | C2×C4 | — | 8 | 6 | no | — |
| 1007 | C2×C4 | — | 8 | 12 | no | — |
| 1008 | C2×C4 | — | 8 | 6 | no | — |
| 1009 | C2×C4 | — | 8 | 6 | no | — |
| 1010 | C2×C4 | — | 8 | 12 | no | — |
| 1011 | C2×C4 | — | 8 | 24 | no | — |
| 1012 | C2×C4 | — | 8 | 12 | no | — |
| 1013 | C2×C4 | — | 8 | 24 | no | — |
| 1014 | C2×C4 | — | 8 | 12 | no | — |
| 1015 | C2×C4 | — | 8 | 12 | no | — |
| 1016 | C2×C4 | — | 16 | 12 | no | — |
| 1017 | C2×C4 | — | 16 | 24 | no | — |
| 1018 | C2×C4 | C2×#2202 | 1 | 12 | yes | — |
| 1019 | C8 | — | 16 | 12 | no | — |
| 1020 | C22 | — | 2 | 4 | no | — |
| 1021 | C22 | — | 2 | 2 | no | — |
| 1022 | C22 | — | 2 | 2 | no | — |
| 1023 | C22 | — | 2 | 2 | no | — |
| 1024 | C22 | — | 2 | 2 | no | — |
| 1025 | C22 | — | 2 | 2 | no | — |
| 1026 | C22 | — | 8 | 8 | no | — |
| 1027 | C22 | — | 8 | 4 | no | — |
| 1028 | C22 | — | 16 | 12 | no | — |
| 1029 | C22 | — | 16 | 24 | no | — |
| 1030 | C22 | — | 16 | 12 | no | — |
| 1031 | C22 | — | 16 | 24 | no | — |
| 1032 | C22 | — | 16 | 12 | no | — |
| 1033 | C22 | — | 16 | 6 | no | — |
| 1034 | C22 | — | 32 | 32 | no | — |
| 1035 | C22 | #6499867 | 1 | 1 | yes | characteristic |
| 1036 | C22 | #6499874 | 1 | 2 | yes | — |
| 1037 | C22 | C22×#2202 | 1 | 2 | yes | — |
| 1038 | C22 | #7622904 | 1 | 2 | yes | — |
| 1039 | C4 | — | 2 | 12 | no | — |
| 1040 | C4 | — | 4 | 6 | no | — |
| 1041 | C4 | — | 4 | 6 | no | — |
| 1042 | C4 | — | 8 | 12 | no | — |
| 1043 | C4 | — | 8 | 8 | no | — |
| 1044 | C4 | — | 8 | 6 | no | — |
| 1045 | C4 | — | 8 | 4 | no | — |
| 1046 | C4 | — | 16 | 12 | no | — |
| 1047 | C2 | — | 2 | 2 | no | — |
| 1048 | C2 | — | 2 | 2 | no | — |
| 1049 | C2 | — | 2 | 2 | no | — |
| 1050 | C2 | — | 16 | 4 | no | — |
| 1051 | C2 | — | 32 | 6 | no | — |
| 1052 | C2 | #72213228 | 1 | 1 | yes | characteristic |
| 1053 | C2 | #72213531 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #6499867 |
| commutator, Frattini, cosocle | C23×Q8 | C25 |
| LCS | G ▷ C23×Q8 ▷ C23 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C24 ◁ C22×Q82 ◁ G | |
| LECS | G ▷ C23×Q8 ▷ C23 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72271374 | C2 | semidirect |
| 2. #72271370 | C2 | semidirect |
| 3. #72271368 | C2 | semidirect |
| 4. #72271366 | C2 | semidirect |
| 5. #72268378 | C2 | semidirect |
| 6. #10586518 | C22 | semidirect |
| 15. #511796 | C22 | semidirect |
| 17. #346450 | C22 | semidirect |
| 18. #188161 | C22 | semidirect |
| 19. #186832 | C22 | semidirect |
| 21. #144629 | C22 | semidirect |
| 23. #139796 | C22 | semidirect |
| 24. #139787 | C22 | semidirect |
| 25. #135539 | C22 | semidirect |
| 843. C2×Q8 | #2202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72271374 | 2 |
| #72271370 | 2 |
| #72271368 | 2 |
| #72271366 | 2 |
| #72268378 | 2 |