Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
7440 conjugacy classes of subgroups.
The subgroup lattice has 1583 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #60048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #60045 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #60044 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #54852 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #54843 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #53422 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #49590 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #49545 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #47794 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #47689 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #47177 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #46355 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #44870 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #44242 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #44228 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #44158 | C2 | 1 | 4 | yes | maximal, complemented |
| 17 | #44148 | C2 | 1 | 4 | yes | maximal, complemented |
| 18 | #43894 | C2 | 1 | 4 | yes | maximal, complemented |
| 19 | #43886 | C2 | 1 | 4 | yes | maximal, complemented |
| 20 | #35692 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #35680 | C2 | 1 | 4 | yes | maximal, complemented |
| 22 | #35528 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #35527 | C2 | 1 | 2 | yes | maximal, complemented |
| 24 | C22×H(5,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 25 | C2×#546 | C22 | 1 | 4 | yes | complemented |
| 26 | C2×#546 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×D42 | C22 | 1 | 4 | yes | complemented |
| 28 | C2×D42 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#538 | C22 | 1 | 4 | yes | complemented |
| 30 | C2×#535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#535 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#535 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#535 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#534 | C22 | 1 | 2 | yes | complemented |
| 36 | C22×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#518 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #2828 | C22 | 1 | 2 | yes | complemented |
| 39 | #2819 | C22 | 1 | 4 | yes | complemented |
| 40 | #2818 | C22 | 1 | 4 | yes | complemented |
| 41 | #2815 | C22 | 1 | 2 | yes | complemented |
| 42 | #2811 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #2808 | C22 | 1 | 2 | yes | complemented |
| 44 | #2806 | C22 | 1 | 2 | yes | complemented |
| 45 | #2804 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #2804 | C22 | 1 | 2 | yes | complemented |
| 47 | #2784 | C22 | 1 | 2 | yes | complemented |
| 48 | #2756 | C22 | 1 | 4 | yes | complemented |
| 49 | #2756 | C22 | 1 | 4 | yes | complemented |
| 50 | #2753 | C22 | 1 | 4 | yes | complemented |
| 51 | #2737 | C22 | 1 | 4 | yes | complemented |
| 52 | #2733 | C22 | 1 | 4 | yes | complemented |
| 53 | #2733 | C22 | 1 | 2 | yes | complemented |
| 54 | #2733 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #2732 | C22 | 1 | 2 | yes | complemented |
| 56 | #2730 | C22 | 1 | 4 | yes | complemented |
| 57 | #2714 | C22 | 1 | 4 | yes | complemented |
| 58 | #2714 | C22 | 1 | 4 | yes | complemented |
| 59 | #2706 | C22 | 1 | 4 | yes | complemented |
| 60 | #2703 | C22 | 1 | 4 | yes | complemented |
| 61 | #2699 | C22 | 1 | 4 | yes | complemented |
| 62 | #2699 | C22 | 1 | 4 | yes | complemented |
| 63 | #2686 | C22 | 1 | 4 | yes | complemented |
| 64 | #2686 | C22 | 1 | 4 | yes | complemented |
| 65 | #2685 | C22 | 1 | 4 | yes | complemented |
| 66 | #2685 | C22 | 1 | 4 | yes | complemented |
| 67 | #2684 | C22 | 1 | 4 | yes | complemented |
| 68 | #2684 | C22 | 1 | 4 | yes | complemented |
| 69 | #2682 | C22 | 1 | 2 | yes | complemented |
| 70 | #2679 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #2679 | C22 | 1 | 2 | yes | complemented |
| 72 | #2679 | C22 | 1 | 2 | yes | complemented |
| 73 | #2678 | C22 | 1 | 4 | yes | complemented |
| 74 | #2678 | C22 | 1 | 4 | yes | complemented |
| 75 | #2678 | C22 | 1 | 4 | yes | complemented |
| 76 | #2676 | C22 | 1 | 4 | yes | complemented |
| 77 | #2675 | C22 | 1 | 4 | yes | complemented |
| 78 | #2673 | C22 | 1 | 4 | yes | complemented |
| 79 | #2673 | C22 | 1 | 4 | yes | complemented |
| 80 | #2673 | C22 | 1 | 4 | yes | complemented |
| 81 | #2673 | C22 | 1 | 4 | yes | complemented |
| 82 | #2673 | C22 | 1 | 4 | yes | complemented |
| 83 | #2673 | C22 | 1 | 4 | yes | complemented |
| 84 | #2671 | C22 | 1 | 4 | yes | complemented |
| 85 | #2670 | C22 | 1 | 4 | yes | complemented |
| 86 | #2670 | C22 | 1 | 4 | yes | complemented |
| 87 | #2670 | C22 | 1 | 4 | yes | complemented |
| 88 | #2670 | C22 | 1 | 4 | yes | complemented |
| 89 | #2669 | C22 | 1 | 4 | yes | complemented |
| 90 | #2669 | C22 | 1 | 4 | yes | complemented |
| 91 | #2669 | C22 | 1 | 4 | yes | complemented |
| 92 | #2669 | C22 | 1 | 2 | yes | complemented |
| 93 | #2669 | C22 | 1 | 4 | yes | complemented |
| 94 | #2669 | C22 | 1 | 4 | yes | complemented |
| 95 | #2668 | C22 | 1 | 4 | yes | complemented |
| 96 | #2635 | C22 | 1 | 2 | yes | complemented |
| 97 | #2631 | C22 | 1 | 2 | yes | complemented |
| 98 | #2626 | C22 | 1 | 2 | yes | complemented |
| 99 | #2615 | C22 | 1 | 4 | yes | complemented |
| 100 | #2613 | C22 | 1 | 4 | yes | complemented |
| 101 | #2613 | C22 | 1 | 4 | yes | complemented |
| 102 | #2610 | C22 | 1 | 2 | yes | complemented |
| 103 | #2610 | C22 | 1 | 4 | yes | complemented |
| 104 | #2610 | C22 | 1 | 4 | yes | complemented |
| 105 | #2609 | C22 | 1 | 4 | yes | complemented |
| 106 | #2603 | C22 | 1 | 4 | yes | complemented |
| 107 | #2603 | C22 | 1 | 4 | yes | complemented |
| 108 | #2601 | C22 | 1 | 4 | yes | complemented |
| 109 | #2598 | C22 | 1 | 2 | yes | complemented |
| 110 | #2598 | C22 | 1 | 4 | yes | complemented |
| 111 | #2574 | C22 | 1 | 4 | yes | complemented |
| 112 | #2572 | C22 | 1 | 4 | yes | complemented |
| 113 | #2572 | C22 | 1 | 2 | yes | complemented |
| 114 | #2564 | C22 | 1 | 2 | yes | complemented |
| 115 | #2559 | C22 | 1 | 4 | yes | complemented |
| 116 | #2557 | C22 | 1 | 4 | yes | complemented |
| 117 | #2555 | C22 | 1 | 4 | yes | complemented |
| 118 | #2555 | C22 | 1 | 2 | yes | complemented |
| 119 | #2555 | C22 | 1 | 2 | yes | complemented |
| 120 | #2554 | C22 | 1 | 4 | yes | complemented |
| 121 | #2554 | C22 | 1 | 4 | yes | complemented |
| 122 | #2553 | C22 | 1 | 4 | yes | complemented |
| 123 | #2544 | C22 | 1 | 2 | yes | complemented |
| 124 | #2544 | C22 | 1 | 2 | yes | complemented |
| 125 | #2543 | C22 | 1 | 4 | yes | complemented |
| 126 | #2541 | C22 | 1 | 2 | yes | complemented |
| 127 | #2541 | C22 | 1 | 4 | yes | complemented |
| 128 | #2541 | C22 | 1 | 2 | yes | complemented |
| 129 | #2539 | C22 | 1 | 2 | yes | complemented |
| 130 | #2539 | C22 | 1 | 2 | yes | complemented |
| 131 | #2526 | C22 | 1 | 4 | yes | complemented |
| 132 | #2476 | C22 | 1 | 4 | yes | complemented |
| 133 | #2471 | C22 | 1 | 4 | yes | complemented |
| 134 | #2464 | C22 | 1 | 4 | yes | complemented |
| 135 | #2464 | C22 | 1 | 4 | yes | complemented |
| 136 | #2461 | C22 | 1 | 4 | yes | complemented |
| 137 | #2459 | C22 | 1 | 4 | yes | complemented |
| 138 | #2456 | C22 | 1 | 4 | yes | complemented |
| 139 | #2456 | C22 | 1 | 4 | yes | complemented |
| 140 | #2456 | C22 | 1 | 4 | yes | complemented |
| 141 | #2433 | C22 | 1 | 4 | yes | complemented |
| 142 | #2433 | C22 | 1 | 4 | yes | complemented |
| 143 | #2433 | C22 | 1 | 4 | yes | complemented |
| 144 | #2433 | C22 | 1 | 4 | yes | complemented |
| 145 | #2433 | C22 | 1 | 4 | yes | complemented |
| 146 | #2433 | C22 | 1 | 4 | yes | complemented |
| 147 | #2433 | C22 | 1 | 4 | yes | complemented |
| 148 | #2431 | C22 | 1 | 2 | yes | complemented |
| 149 | #2431 | C22 | 1 | 4 | yes | complemented |
| 150 | #2431 | C22 | 1 | 4 | yes | complemented |
| 151 | #2431 | C22 | 1 | 4 | yes | complemented |
| 152 | #2431 | C22 | 1 | 4 | yes | complemented |
| 153 | #2431 | C22 | 1 | 4 | yes | complemented |
| 154 | #2431 | C22 | 1 | 4 | yes | complemented |
| 155 | #2430 | C22 | 1 | 4 | yes | complemented |
| 156 | #2430 | C22 | 1 | 4 | yes | complemented |
| 157 | #2430 | C22 | 1 | 4 | yes | complemented |
| 158 | #2428 | C22 | 1 | 4 | yes | complemented |
| 159 | #2428 | C22 | 1 | 4 | yes | complemented |
| 160 | #2428 | C22 | 1 | 4 | yes | complemented |
| 161 | #2424 | C22 | 1 | 4 | yes | complemented |
| 162 | #2424 | C22 | 1 | 4 | yes | complemented |
| 163 | #2424 | C22 | 1 | 4 | yes | complemented |
| 164 | #2424 | C22 | 1 | 4 | yes | complemented |
| 165 | #2424 | C22 | 1 | 4 | yes | complemented |
| 166 | #2418 | C22 | 1 | 4 | yes | complemented |
| 167 | #2414 | C22 | 1 | 4 | yes | complemented |
| 168 | #2411 | C22 | 1 | 4 | yes | complemented |
| 169 | #2410 | C22 | 1 | 4 | yes | complemented |
| 170 | #2410 | C22 | 1 | 4 | yes | complemented |
| 171 | #2410 | C22 | 1 | 4 | yes | complemented |
| 172 | #2410 | C22 | 1 | 4 | yes | complemented |
| 173 | #2410 | C22 | 1 | 4 | yes | complemented |
| 174 | #2410 | C22 | 1 | 4 | yes | complemented |
| 175 | #2410 | C22 | 1 | 4 | yes | complemented |
| 176 | #2408 | C22 | 1 | 2 | yes | complemented |
| 177 | #2408 | C22 | 1 | 4 | yes | complemented |
| 178 | #2407 | C22 | 1 | 4 | yes | complemented |
| 179 | #2407 | C22 | 1 | 4 | yes | complemented |
| 180 | #2404 | C22 | 1 | 2 | yes | complemented |
| 181 | #2404 | C22 | 1 | 4 | yes | complemented |
| 182 | #2404 | C22 | 1 | 4 | yes | complemented |
| 183 | #2404 | C22 | 1 | 2 | yes | complemented |
| 184 | #2403 | C22 | 1 | 4 | yes | complemented |
| 185 | #2403 | C22 | 1 | 4 | yes | complemented |
| 186 | #2403 | C22 | 1 | 4 | yes | complemented |
| 187 | #2403 | C22 | 1 | 4 | yes | complemented |
| 188 | #2403 | C22 | 1 | 4 | yes | complemented |
| 189 | #2403 | C22 | 1 | 4 | yes | complemented |
| 190 | #2403 | C22 | 1 | 4 | yes | complemented |
| 191 | #2397 | C22 | 1 | 2 | yes | complemented |
| 192 | #2388 | C22 | 1 | 2 | yes | complemented |
| 193 | #2388 | C22 | 1 | 4 | yes | complemented |
| 194 | C2×#392 | C22 | 1 | 2 | yes | — |
| 195 | C2×#392 | C22 | 1 | 4 | yes | complemented |
| 196 | #2375 | C22 | 1 | 2 | yes | complemented |
| 197 | #2372 | C22 | 1 | 2 | yes | complemented |
| 198 | #2372 | C22 | 1 | 4 | yes | complemented |
| 199 | #2368 | C22 | 1 | 4 | yes | complemented |
| 200 | #2363 | C22 | 1 | 4 | yes | complemented |
| 201 | #2359 | C22 | 1 | 4 | yes | complemented |
| 202 | #2358 | C22 | 1 | 4 | yes | complemented |
| 203 | #2358 | C22 | 1 | 4 | yes | complemented |
| 204 | #2358 | C22 | 1 | 2 | yes | complemented |
| 205 | #2353 | C22 | 1 | 2 | yes | complemented |
| 206 | #2339 | C22 | 1 | 4 | yes | complemented |
| 207 | D4×C22⋊C4 | C22 | 1 | 4 | yes | complemented |
| 208 | D4×C22⋊C4 | C22 | 1 | 4 | yes | complemented |
| 209 | #2337 | C22 | 1 | 4 | yes | complemented |
| 210 | #2333 | C22 | 1 | 2 | yes | complemented |
| 211 | #2328 | C22 | 1 | 4 | yes | complemented |
| 212 | #2321 | C22 | 1 | 4 | yes | complemented |
| 213 | #2309 | C22 | 1 | 1 | yes | characteristic, complemented |
| 214 | #2309 | C22 | 1 | 2 | yes | complemented |
| 215 | #2297 | C22 | 1 | 2 | yes | complemented |
| 216 | #2297 | C22 | 1 | 2 | yes | complemented |
| 217 | #2297 | C22 | 1 | 1 | yes | characteristic, complemented |
| 218 | #2296 | C22 | 1 | 1 | yes | characteristic, complemented |
| 219 | C2×H(5,𝔽2) | — | 4 | 8 | no | — |
| 220 | C2×H(5,𝔽2) | — | 4 | 8 | no | — |
| 221 | C2×H(5,𝔽2) | — | 4 | 8 | no | — |
| 222 | C22×#41 | C23 | 1 | 4 | yes | — |
| 223 | C22×#41 | C23 | 1 | 2 | yes | — |
| 224 | C22×#41 | C23 | 1 | 2 | yes | — |
| 225 | C22×#41 | C23 | 1 | 4 | yes | — |
| 226 | C22×#41 | C23 | 1 | 2 | yes | — |
| 227 | C22×#41 | C23 | 1 | 1 | yes | characteristic |
| 228 | C23×D4 | C23 | 1 | 2 | yes | — |
| 229 | C23×D4 | C23 | 1 | 4 | yes | — |
| 230 | C23×D4 | C23 | 1 | 4 | yes | — |
| 231 | C23×D4 | C23 | 1 | 1 | yes | characteristic |
| 232 | C23×D4 | C23 | 1 | 1 | yes | characteristic |
| 233 | C23×D4 | C23 | 1 | 4 | yes | — |
| 234 | C23×D4 | C23 | 1 | 4 | yes | — |
| 235 | C23×D4 | C23 | 1 | 2 | yes | — |
| 236 | C23×D4 | C23 | 1 | 4 | yes | — |
| 237 | C23×D4 | C23 | 1 | 4 | yes | — |
| 238 | C23×D4 | C23 | 1 | 2 | yes | — |
| 239 | #546 | — | 4 | 8 | no | — |
| 240 | #546 | — | 4 | 16 | no | — |
| 241 | D42 | — | 4 | 16 | no | — |
| 242 | D42 | — | 4 | 8 | no | — |
| 243 | #538 | — | 4 | 16 | no | — |
| 244 | #535 | — | 4 | 4 | no | — |
| 245 | #535 | — | 4 | 4 | no | — |
| 246 | #535 | — | 4 | 16 | no | — |
| 247 | #535 | — | 4 | 8 | no | — |
| 248 | #535 | — | 4 | 8 | no | — |
| 249 | #534 | — | 4 | 8 | no | — |
| 250 | C2×#127 | — | 4 | 4 | no | — |
| 251 | C2×#127 | C23 | 1 | 4 | yes | — |
| 252 | C2×#127 | C23 | 1 | 4 | yes | — |
| 253 | C2×#127 | C23 | 1 | 4 | yes | — |
| 254 | C2×#127 | C23 | 1 | 2 | yes | — |
| 255 | C2×#127 | C23 | 1 | 4 | yes | — |
| 256 | C2×#127 | C23 | 1 | 2 | yes | — |
| 257 | C2×#127 | C23 | 1 | 2 | yes | — |
| 258 | C2×#127 | C23 | 1 | 2 | yes | — |
| 259 | C2×#127 | C23 | 1 | 2 | yes | — |
| 260 | C2×#127 | C23 | 1 | 4 | yes | — |
| 261 | C2×#126 | C23 | 1 | 4 | yes | — |
| 262 | C2×#126 | C23 | 1 | 4 | yes | — |
| 263 | C2×#124 | C23 | 1 | 4 | yes | — |
| 264 | C2×#124 | C23 | 1 | 4 | yes | — |
| 265 | C2×#124 | C23 | 1 | 4 | yes | — |
| 266 | C2×#124 | C23 | 1 | 4 | yes | — |
| 267 | C2×#124 | C23 | 1 | 2 | yes | — |
| 268 | C2×#124 | C23 | 1 | 2 | yes | — |
| 269 | C2×#124 | C23 | 1 | 4 | yes | — |
| 270 | C2×#124 | C23 | 1 | 2 | yes | — |
| 271 | C2×#124 | C23 | 1 | 2 | yes | — |
| 272 | C2×#123 | C23 | 1 | 4 | yes | — |
| 273 | C2×#123 | C23 | 1 | 4 | yes | — |
| 274 | C2×#123 | C23 | 1 | 4 | yes | — |
| 275 | C2×#123 | C23 | 1 | 4 | yes | — |
| 276 | C2×#123 | C23 | 1 | 4 | yes | — |
| 277 | C2×#123 | C23 | 1 | 4 | yes | — |
| 278 | C2×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 279 | C2×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 280 | C2×#121 | C23 | 1 | 2 | yes | — |
| 281 | C2×#121 | C23 | 1 | 4 | yes | — |
| 282 | C2×#121 | C23 | 1 | 4 | yes | — |
| 283 | C2×#121 | C23 | 1 | 4 | yes | — |
| 284 | C2×#121 | C23 | 1 | 4 | yes | — |
| 285 | C2×#121 | C23 | 1 | 2 | yes | — |
| 286 | C2×#121 | C23 | 1 | 4 | yes | — |
| 287 | C2×#121 | C23 | 1 | 4 | yes | — |
| 288 | C2×#121 | C23 | 1 | 4 | yes | — |
| 289 | C2×#121 | C23 | 1 | 4 | yes | — |
| 290 | C2×#121 | C23 | 1 | 4 | yes | — |
| 291 | C2×#121 | C23 | 1 | 4 | yes | — |
| 292 | C2×#121 | C23 | 1 | 4 | yes | — |
| 293 | C2×#121 | C23 | 1 | 4 | yes | — |
| 294 | C2×#121 | C23 | 1 | 4 | yes | — |
| 295 | C2×#121 | C23 | 1 | 4 | yes | — |
| 296 | C2×#121 | C23 | 1 | 4 | yes | — |
| 297 | C2×#121 | C23 | 1 | 4 | yes | — |
| 298 | C2×#121 | C23 | 1 | 2 | yes | — |
| 299 | C2×#121 | C23 | 1 | 2 | yes | — |
| 300 | C2×#121 | C23 | 1 | 4 | yes | — |
| 301 | C2×#121 | C23 | 1 | 4 | yes | — |
| 302 | C2×#121 | C23 | 1 | 4 | yes | — |
| 303 | C2×#121 | C23 | 1 | 4 | yes | — |
| 304 | C2×#121 | C23 | 1 | 4 | yes | — |
| 305 | C2×#121 | C23 | 1 | 4 | yes | — |
| 306 | C2×#120 | C23 | 1 | 2 | yes | — |
| 307 | C2×#120 | C23 | 1 | 4 | yes | — |
| 308 | C2×#120 | C23 | 1 | 4 | yes | — |
| 309 | C2×#120 | C23 | 1 | 4 | yes | — |
| 310 | C2×#120 | C23 | 1 | 4 | yes | — |
| 311 | C2×#120 | C23 | 1 | 4 | yes | — |
| 312 | C2×#120 | C23 | 1 | 4 | yes | — |
| 313 | C2×#120 | C23 | 1 | 2 | yes | — |
| 314 | C2×#120 | C23 | 1 | 4 | yes | — |
| 315 | C2×#120 | C23 | 1 | 2 | yes | — |
| 316 | C2×#120 | C23 | 1 | 4 | yes | — |
| 317 | C2×#120 | C23 | 1 | 4 | yes | — |
| 318 | C2×#120 | C23 | 1 | 4 | yes | — |
| 319 | C2×#120 | C23 | 1 | 4 | yes | — |
| 320 | C2×#120 | C23 | 1 | 4 | yes | — |
| 321 | C2×#120 | C23 | 1 | 4 | yes | — |
| 322 | C2×#120 | C23 | 1 | 4 | yes | — |
| 323 | C2×#120 | C23 | 1 | 4 | yes | — |
| 324 | C2×#120 | C23 | 1 | 4 | yes | — |
| 325 | C2×#120 | C23 | 1 | 4 | yes | — |
| 326 | C2×#120 | C23 | 1 | 4 | yes | — |
| 327 | C2×#120 | C23 | 1 | 4 | yes | — |
| 328 | C2×#120 | C23 | 1 | 4 | yes | — |
| 329 | C2×#120 | C23 | 1 | 4 | yes | — |
| 330 | C2×#120 | C23 | 1 | 2 | yes | — |
| 331 | C2×#120 | C23 | 1 | 4 | yes | — |
| 332 | #518 | — | 4 | 4 | no | — |
| 333 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 334 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 335 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 336 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 337 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 338 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 339 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 340 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 341 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 342 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 343 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 344 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 345 | C2×#117 | C23 | 1 | 1 | yes | characteristic |
| 346 | C2×#117 | C23 | 1 | 2 | yes | — |
| 347 | C2×#117 | C23 | 1 | 1 | yes | characteristic |
| 348 | C2×#117 | C23 | 1 | 2 | yes | — |
| 349 | C2×#117 | C23 | 1 | 1 | yes | characteristic |
| 350 | C2×#117 | C23 | 1 | 4 | yes | — |
| 351 | C22×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 352 | C22×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 353 | C22×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 354 | C22×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 355 | C22×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 356 | C22×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 357 | C22×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 358 | C22×C42 | C23 | 1 | 1 | yes | characteristic |
| 359 | #400 | C23 | 1 | 2 | yes | — |
| 360 | #400 | C23 | 1 | 4 | yes | — |
| 361 | #399 | C23 | 1 | 2 | yes | — |
| 362 | #399 | C23 | 1 | 2 | yes | — |
| 363 | #399 | C23 | 1 | 2 | yes | — |
| 364 | #399 | C23 | 1 | 4 | yes | — |
| 365 | #398 | C23 | 1 | 4 | yes | — |
| 366 | #398 | C23 | 1 | 4 | yes | — |
| 367 | #398 | C23 | 1 | 4 | yes | — |
| 368 | #397 | C23 | 1 | 4 | yes | — |
| 369 | #397 | C23 | 1 | 4 | yes | — |
| 370 | #397 | C23 | 1 | 4 | yes | — |
| 371 | #397 | C23 | 1 | 4 | yes | — |
| 372 | #397 | C23 | 1 | 4 | yes | — |
| 373 | #396 | C23 | 1 | 4 | yes | — |
| 374 | #396 | C23 | 1 | 4 | yes | — |
| 375 | #396 | C23 | 1 | 4 | yes | — |
| 376 | #396 | C23 | 1 | 4 | yes | — |
| 377 | #396 | C23 | 1 | 4 | yes | — |
| 378 | #395 | C23 | 1 | 2 | yes | — |
| 379 | #395 | C23 | 1 | 4 | yes | — |
| 380 | #395 | C23 | 1 | 4 | yes | — |
| 381 | #394 | C23 | 1 | 4 | yes | — |
| 382 | #394 | C23 | 1 | 4 | yes | — |
| 383 | #394 | C23 | 1 | 4 | yes | — |
| 384 | #394 | C23 | 1 | 4 | yes | — |
| 385 | #394 | C23 | 1 | 4 | yes | — |
| 386 | #394 | C23 | 1 | 4 | yes | — |
| 387 | #394 | C23 | 1 | 4 | yes | — |
| 388 | #394 | C23 | 1 | 4 | yes | — |
| 389 | #394 | C23 | 1 | 4 | yes | — |
| 390 | #394 | C23 | 1 | 2 | yes | — |
| 391 | #394 | C23 | 1 | 4 | yes | — |
| 392 | #394 | C23 | 1 | 2 | yes | — |
| 393 | #394 | C23 | 1 | 4 | yes | — |
| 394 | #394 | C23 | 1 | 4 | yes | — |
| 395 | #394 | C23 | 1 | 4 | yes | — |
| 396 | #394 | C23 | 1 | 4 | yes | — |
| 397 | #394 | C23 | 1 | 4 | yes | — |
| 398 | #394 | C23 | 1 | 4 | yes | — |
| 399 | #394 | C23 | 1 | 4 | yes | — |
| 400 | #394 | C23 | 1 | 4 | yes | — |
| 401 | #394 | C23 | 1 | 4 | yes | — |
| 402 | #394 | C23 | 1 | 4 | yes | — |
| 403 | #394 | C23 | 1 | 4 | yes | — |
| 404 | #394 | C23 | 1 | 4 | yes | — |
| 405 | #394 | C23 | 1 | 4 | yes | — |
| 406 | #394 | C23 | 1 | 4 | yes | — |
| 407 | #394 | C23 | 1 | 4 | yes | — |
| 408 | #394 | C23 | 1 | 4 | yes | — |
| 409 | #394 | C23 | 1 | 4 | yes | — |
| 410 | #394 | C23 | 1 | 4 | yes | — |
| 411 | #393 | C23 | 1 | 2 | yes | — |
| 412 | #393 | C23 | 1 | 4 | yes | — |
| 413 | #393 | C23 | 1 | 4 | yes | — |
| 414 | #393 | C23 | 1 | 4 | yes | — |
| 415 | #393 | C23 | 1 | 4 | yes | — |
| 416 | #393 | C23 | 1 | 4 | yes | — |
| 417 | #393 | C23 | 1 | 2 | yes | — |
| 418 | #393 | C23 | 1 | 2 | yes | — |
| 419 | #392 | C23 | 1 | 2 | yes | — |
| 420 | #392 | C23 | 1 | 4 | yes | — |
| 421 | #392 | C23 | 1 | 4 | yes | — |
| 422 | #392 | C23 | 1 | 4 | yes | — |
| 423 | #392 | C23 | 1 | 4 | yes | — |
| 424 | #392 | C23 | 1 | 4 | yes | — |
| 425 | #392 | C23 | 1 | 4 | yes | — |
| 426 | #392 | C23 | 1 | 4 | yes | — |
| 427 | #392 | C23 | 1 | 4 | yes | — |
| 428 | #392 | C23 | 1 | 4 | yes | — |
| 429 | #392 | C23 | 1 | 4 | yes | — |
| 430 | #392 | C23 | 1 | 4 | yes | — |
| 431 | #392 | C23 | 1 | 2 | yes | — |
| 432 | #392 | C23 | 1 | 4 | yes | — |
| 433 | #392 | C23 | 1 | 4 | yes | — |
| 434 | #392 | C23 | 1 | 4 | yes | — |
| 435 | #392 | C23 | 1 | 2 | yes | — |
| 436 | #392 | C23 | 1 | 4 | yes | — |
| 437 | #392 | C23 | 1 | 2 | yes | — |
| 438 | #392 | C23 | 1 | 4 | yes | — |
| 439 | #392 | C23 | 1 | 4 | yes | — |
| 440 | #392 | C23 | 1 | 4 | yes | — |
| 441 | #392 | C23 | 1 | 4 | yes | — |
| 442 | #392 | C23 | 1 | 4 | yes | — |
| 443 | #392 | C23 | 1 | 4 | yes | — |
| 444 | #392 | C23 | 1 | 4 | yes | — |
| 445 | #392 | C23 | 1 | 4 | yes | — |
| 446 | #392 | C23 | 1 | 2 | yes | — |
| 447 | #392 | C23 | 1 | 4 | yes | — |
| 448 | #392 | C23 | 1 | 4 | yes | — |
| 449 | #392 | C23 | 1 | 4 | yes | — |
| 450 | #392 | C23 | 1 | 4 | yes | — |
| 451 | #392 | C23 | 1 | 4 | yes | — |
| 452 | #392 | C23 | 1 | 4 | yes | — |
| 453 | #392 | C23 | 1 | 4 | yes | — |
| 454 | #392 | C23 | 1 | 4 | yes | — |
| 455 | #392 | C23 | 1 | 4 | yes | — |
| 456 | #392 | C23 | 1 | 4 | yes | — |
| 457 | #392 | C23 | 1 | 2 | yes | — |
| 458 | #392 | C23 | 1 | 4 | yes | — |
| 459 | #392 | C23 | 1 | 4 | yes | — |
| 460 | #392 | C23 | 1 | 4 | yes | — |
| 461 | #392 | C23 | 1 | 4 | yes | — |
| 462 | #392 | C23 | 1 | 4 | yes | — |
| 463 | #392 | C23 | 1 | 4 | yes | — |
| 464 | #392 | C23 | 1 | 4 | yes | — |
| 465 | #392 | C23 | 1 | 4 | yes | — |
| 466 | #392 | C23 | 1 | 4 | yes | — |
| 467 | #391 | C23 | 1 | 2 | yes | — |
| 468 | #391 | C23 | 1 | 1 | yes | characteristic |
| 469 | #391 | C23 | 1 | 2 | yes | — |
| 470 | #391 | C23 | 1 | 4 | yes | — |
| 471 | #391 | C23 | 1 | 4 | yes | — |
| 472 | #391 | C23 | 1 | 2 | yes | — |
| 473 | #391 | C23 | 1 | 2 | yes | — |
| 474 | #391 | C23 | 1 | 1 | yes | characteristic |
| 475 | #391 | C23 | 1 | 2 | yes | — |
| 476 | #390 | C23 | 1 | 2 | yes | — |
| 477 | #390 | C23 | 1 | 2 | yes | — |
| 478 | #390 | C23 | 1 | 4 | yes | — |
| 479 | #390 | C23 | 1 | 4 | yes | — |
| 480 | #390 | C23 | 1 | 4 | yes | — |
| 481 | #390 | C23 | 1 | 4 | yes | — |
| 482 | #390 | C23 | 1 | 4 | yes | — |
| 483 | #390 | C23 | 1 | 4 | yes | — |
| 484 | #390 | C23 | 1 | 4 | yes | — |
| 485 | #390 | C23 | 1 | 4 | yes | — |
| 486 | #390 | C23 | 1 | 4 | yes | — |
| 487 | #390 | C23 | 1 | 4 | yes | — |
| 488 | #390 | C23 | 1 | 4 | yes | — |
| 489 | #390 | C23 | 1 | 4 | yes | — |
| 490 | #390 | C23 | 1 | 4 | yes | — |
| 491 | #390 | C23 | 1 | 2 | yes | — |
| 492 | #390 | C23 | 1 | 2 | yes | — |
| 493 | #390 | C23 | 1 | 1 | yes | characteristic |
| 494 | #390 | C23 | 1 | 4 | yes | — |
| 495 | #390 | C23 | 1 | 2 | yes | — |
| 496 | #390 | C23 | 1 | 4 | yes | — |
| 497 | #390 | C23 | 1 | 4 | yes | — |
| 498 | #390 | C23 | 1 | 4 | yes | — |
| 499 | #390 | C23 | 1 | 1 | yes | characteristic |
| 500 | #390 | C23 | 1 | 2 | yes | — |
| 501 | #390 | C23 | 1 | 2 | yes | — |
| 502 | #389 | C23 | 1 | 4 | yes | — |
| 503 | #389 | C23 | 1 | 2 | yes | — |
| 504 | #389 | C23 | 1 | 2 | yes | — |
| 505 | #388 | C23 | 1 | 4 | yes | — |
| 506 | #388 | C23 | 1 | 4 | yes | — |
| 507 | #388 | C23 | 1 | 4 | yes | — |
| 508 | #388 | C23 | 1 | 4 | yes | — |
| 509 | #388 | C23 | 1 | 4 | yes | — |
| 510 | #388 | C23 | 1 | 4 | yes | — |
| 511 | #388 | C23 | 1 | 4 | yes | — |
| 512 | #388 | C23 | 1 | 4 | yes | — |
| 513 | #388 | C23 | 1 | 4 | yes | — |
| 514 | #388 | C23 | 1 | 4 | yes | — |
| 515 | #388 | C23 | 1 | 4 | yes | — |
| 516 | #388 | C23 | 1 | 4 | yes | — |
| 517 | #388 | C23 | 1 | 4 | yes | — |
| 518 | #388 | C23 | 1 | 4 | yes | — |
| 519 | #388 | C23 | 1 | 4 | yes | — |
| 520 | #388 | C23 | 1 | 4 | yes | — |
| 521 | #388 | C23 | 1 | 4 | yes | — |
| 522 | #388 | C23 | 1 | 4 | yes | — |
| 523 | #388 | C23 | 1 | 4 | yes | — |
| 524 | #388 | C23 | 1 | 4 | yes | — |
| 525 | #388 | C23 | 1 | 4 | yes | — |
| 526 | #388 | C23 | 1 | 4 | yes | — |
| 527 | #388 | C23 | 1 | 4 | yes | — |
| 528 | #388 | C23 | 1 | 4 | yes | — |
| 529 | #388 | C23 | 1 | 4 | yes | — |
| 530 | #388 | C23 | 1 | 4 | yes | — |
| 531 | #387 | C23 | 1 | 4 | yes | — |
| 532 | #387 | C23 | 1 | 4 | yes | — |
| 533 | #387 | C23 | 1 | 4 | yes | — |
| 534 | #387 | C23 | 1 | 4 | yes | — |
| 535 | #387 | C23 | 1 | 4 | yes | — |
| 536 | #387 | C23 | 1 | 4 | yes | — |
| 537 | #386 | C23 | 1 | 4 | yes | — |
| 538 | #386 | C23 | 1 | 4 | yes | — |
| 539 | #386 | C23 | 1 | 4 | yes | — |
| 540 | #386 | C23 | 1 | 4 | yes | — |
| 541 | #386 | C23 | 1 | 4 | yes | — |
| 542 | #386 | C23 | 1 | 4 | yes | — |
| 543 | #386 | C23 | 1 | 4 | yes | — |
| 544 | #386 | C23 | 1 | 4 | yes | — |
| 545 | #386 | C23 | 1 | 4 | yes | — |
| 546 | #386 | C23 | 1 | 4 | yes | — |
| 547 | #386 | C23 | 1 | 4 | yes | — |
| 548 | #386 | C23 | 1 | 4 | yes | — |
| 549 | #386 | C23 | 1 | 4 | yes | — |
| 550 | #386 | C23 | 1 | 4 | yes | — |
| 551 | #386 | C23 | 1 | 4 | yes | — |
| 552 | #386 | C23 | 1 | 4 | yes | — |
| 553 | #386 | C23 | 1 | 4 | yes | — |
| 554 | #386 | C23 | 1 | 4 | yes | — |
| 555 | #386 | C23 | 1 | 4 | yes | — |
| 556 | #386 | C23 | 1 | 4 | yes | — |
| 557 | #386 | C23 | 1 | 4 | yes | — |
| 558 | #386 | C23 | 1 | 4 | yes | — |
| 559 | #386 | C23 | 1 | 4 | yes | — |
| 560 | #386 | C23 | 1 | 4 | yes | — |
| 561 | #386 | C23 | 1 | 4 | yes | — |
| 562 | #386 | C23 | 1 | 4 | yes | — |
| 563 | #386 | C23 | 1 | 4 | yes | — |
| 564 | #386 | C23 | 1 | 4 | yes | — |
| 565 | #386 | C23 | 1 | 4 | yes | — |
| 566 | #386 | C23 | 1 | 2 | yes | — |
| 567 | #386 | C23 | 1 | 4 | yes | — |
| 568 | #386 | C23 | 1 | 4 | yes | — |
| 569 | #386 | C23 | 1 | 4 | yes | — |
| 570 | #386 | C23 | 1 | 4 | yes | — |
| 571 | #386 | C23 | 1 | 4 | yes | — |
| 572 | #386 | C23 | 1 | 4 | yes | — |
| 573 | #386 | C23 | 1 | 4 | yes | — |
| 574 | #386 | C23 | 1 | 4 | yes | — |
| 575 | #386 | C23 | 1 | 2 | yes | — |
| 576 | #386 | C23 | 1 | 4 | yes | — |
| 577 | #386 | C23 | 1 | 4 | yes | — |
| 578 | #386 | C23 | 1 | 4 | yes | — |
| 579 | #386 | C23 | 1 | 4 | yes | — |
| 580 | #386 | C23 | 1 | 4 | yes | — |
| 581 | #386 | C23 | 1 | 4 | yes | — |
| 582 | #385 | C23 | 1 | 4 | yes | — |
| 583 | #385 | C23 | 1 | 4 | yes | — |
| 584 | #385 | C23 | 1 | 4 | yes | — |
| 585 | #385 | C23 | 1 | 4 | yes | — |
| 586 | #385 | C23 | 1 | 4 | yes | — |
| 587 | #385 | C23 | 1 | 4 | yes | — |
| 588 | #385 | C23 | 1 | 4 | yes | — |
| 589 | #385 | C23 | 1 | 4 | yes | — |
| 590 | #385 | C23 | 1 | 4 | yes | — |
| 591 | #385 | C23 | 1 | 4 | yes | — |
| 592 | #385 | C23 | 1 | 4 | yes | — |
| 593 | #383 | C23 | 1 | 4 | yes | — |
| 594 | #383 | C23 | 1 | 2 | yes | — |
| 595 | #382 | C23 | 1 | 4 | yes | — |
| 596 | #381 | C23 | 1 | 2 | yes | — |
| 597 | #381 | C23 | 1 | 4 | yes | — |
| 598 | #381 | C23 | 1 | 4 | yes | — |
| 599 | #381 | C23 | 1 | 2 | yes | — |
| 600 | #380 | C23 | 1 | 4 | yes | — |
| 601 | #380 | C23 | 1 | 4 | yes | — |
| 602 | #380 | C23 | 1 | 4 | yes | — |
| 603 | #380 | C23 | 1 | 2 | yes | — |
| 604 | #379 | C23 | 1 | 4 | yes | — |
| 605 | #379 | C23 | 1 | 4 | yes | — |
| 606 | #379 | C23 | 1 | 4 | yes | — |
| 607 | #379 | C23 | 1 | 4 | yes | — |
| 608 | #379 | C23 | 1 | 4 | yes | — |
| 609 | #379 | C23 | 1 | 4 | yes | — |
| 610 | #379 | C23 | 1 | 4 | yes | — |
| 611 | C4×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 612 | C4×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 613 | C4×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 614 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 615 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 616 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 617 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 618 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 619 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 620 | C4×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 621 | C4×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 622 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 623 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 624 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 625 | C4×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 626 | #376 | C23 | 1 | 4 | yes | — |
| 627 | #376 | C23 | 1 | 2 | yes | — |
| 628 | C2×#95 | C23 | 1 | 2 | yes | — |
| 629 | C2×#95 | C23 | 1 | 4 | yes | — |
| 630 | C25 | C24 | 1 | 2 | yes | — |
| 631 | C25 | C24 | 1 | 4 | yes | — |
| 632 | C25 | C24 | 1 | 1 | yes | characteristic |
| 633 | C25 | C24 | 1 | 4 | yes | — |
| 634 | C25 | C24 | 1 | 2 | yes | — |
| 635 | C25 | C24 | 1 | 1 | yes | characteristic |
| 636 | H(5,𝔽2) | — | 4 | 128 | no | — |
| 637 | C2×#41 | — | 2 | 8 | no | — |
| 638 | C2×#41 | — | 2 | 16 | no | — |
| 639 | C2×#41 | — | 2 | 8 | no | — |
| 640 | C2×#41 | — | 4 | 4 | no | — |
| 641 | C2×#41 | — | 4 | 4 | no | — |
| 642 | C2×#41 | — | 4 | 8 | no | — |
| 643 | C2×#41 | — | 4 | 2 | no | — |
| 644 | C2×#41 | — | 4 | 4 | no | — |
| 645 | C2×#41 | — | 4 | 4 | no | — |
| 646 | C2×#41 | — | 4 | 4 | no | — |
| 647 | C2×#41 | — | 4 | 8 | no | — |
| 648 | C2×#41 | — | 4 | 8 | no | — |
| 649 | C2×#41 | — | 4 | 8 | no | — |
| 650 | C2×#41 | — | 4 | 2 | no | — |
| 651 | C2×#41 | — | 4 | 8 | no | — |
| 652 | C2×#41 | — | 4 | 8 | no | — |
| 653 | C2×#41 | — | 4 | 2 | no | — |
| 654 | C22×Q8 | C24 | 1 | 1 | yes | characteristic |
| 655 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 656 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 657 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 658 | C22×D4 | — | 2 | 4 | no | — |
| 659 | C22×D4 | — | 2 | 8 | no | — |
| 660 | C22×D4 | — | 2 | 16 | no | — |
| 661 | C22×D4 | — | 2 | 16 | no | — |
| 662 | C22×D4 | — | 4 | 2 | no | — |
| 663 | C22×D4 | — | 4 | 2 | no | — |
| 664 | C22×D4 | — | 4 | 4 | no | — |
| 665 | C22×D4 | — | 4 | 4 | no | — |
| 666 | C22×D4 | — | 4 | 8 | no | — |
| 667 | C22×D4 | — | 4 | 8 | no | — |
| 668 | C22×D4 | — | 4 | 8 | no | — |
| 669 | C22×D4 | — | 4 | 8 | no | — |
| 670 | C22×D4 | — | 4 | 8 | no | — |
| 671 | C22×D4 | — | 4 | 2 | no | — |
| 672 | C22×D4 | — | 4 | 4 | no | — |
| 673 | C22×D4 | — | 4 | 4 | no | — |
| 674 | C22×D4 | — | 4 | 4 | no | — |
| 675 | C22×D4 | — | 4 | 8 | no | — |
| 676 | C22×D4 | — | 4 | 2 | no | — |
| 677 | C22×D4 | — | 4 | 8 | no | — |
| 678 | C22×D4 | — | 4 | 2 | no | — |
| 679 | C22×D4 | — | 4 | 4 | no | — |
| 680 | C22×D4 | — | 4 | 8 | no | — |
| 681 | C22×D4 | — | 4 | 8 | no | — |
| 682 | C22×D4 | — | 4 | 8 | no | — |
| 683 | C22×D4 | — | 4 | 8 | no | — |
| 684 | C22×D4 | — | 4 | 8 | no | — |
| 685 | C22×D4 | — | 4 | 8 | no | — |
| 686 | C22×D4 | — | 4 | 8 | no | — |
| 687 | C22×D4 | — | 4 | 8 | no | — |
| 688 | C22×D4 | — | 4 | 8 | no | — |
| 689 | C22×D4 | — | 4 | 8 | no | — |
| 690 | C22×D4 | C24 | 1 | 4 | yes | — |
| 691 | C22×D4 | C24 | 1 | 2 | yes | — |
| 692 | C22×D4 | C24 | 1 | 2 | yes | — |
| 693 | C22×D4 | C24 | 1 | 2 | yes | — |
| 694 | C22×D4 | C24 | 1 | 4 | yes | — |
| 695 | C22×D4 | C24 | 1 | 4 | yes | — |
| 696 | C22×D4 | C24 | 1 | 4 | yes | — |
| 697 | C22×D4 | C24 | 1 | 4 | yes | — |
| 698 | C22×D4 | C24 | 1 | 4 | yes | — |
| 699 | C22×D4 | C24 | 1 | 4 | yes | — |
| 700 | C22×D4 | C24 | 1 | 4 | yes | — |
| 701 | C22×D4 | C24 | 1 | 4 | yes | — |
| 702 | C22×D4 | C24 | 1 | 4 | yes | — |
| 703 | C22×D4 | C24 | 1 | 2 | yes | — |
| 704 | C22×D4 | C24 | 1 | 4 | yes | — |
| 705 | C22×D4 | C24 | 1 | 4 | yes | — |
| 706 | C22×D4 | C24 | 1 | 4 | yes | — |
| 707 | C22×D4 | C24 | 1 | 4 | yes | — |
| 708 | C22×D4 | C24 | 1 | 2 | yes | — |
| 709 | C22×D4 | C24 | 1 | 2 | yes | — |
| 710 | C22×D4 | C24 | 1 | 1 | yes | characteristic |
| 711 | C22×D4 | C24 | 1 | 4 | yes | — |
| 712 | C22×D4 | C24 | 1 | 4 | yes | — |
| 713 | C22×D4 | C24 | 1 | 4 | yes | — |
| 714 | C22×D4 | C24 | 1 | 4 | yes | — |
| 715 | C22×D4 | C24 | 1 | 4 | yes | — |
| 716 | C22×D4 | C24 | 1 | 2 | yes | — |
| 717 | C22×D4 | C24 | 1 | 4 | yes | — |
| 718 | C22×D4 | C24 | 1 | 2 | yes | — |
| 719 | C22×D4 | C24 | 1 | 4 | yes | — |
| 720 | C22×D4 | C24 | 1 | 4 | yes | — |
| 721 | C22×D4 | C24 | 1 | 4 | yes | — |
| 722 | C22×D4 | C24 | 1 | 4 | yes | — |
| 723 | C22×D4 | C24 | 1 | 4 | yes | — |
| 724 | C22×D4 | C24 | 1 | 2 | yes | — |
| 725 | C22×D4 | C24 | 1 | 4 | yes | — |
| 726 | C22×D4 | C24 | 1 | 4 | yes | — |
| 727 | C22×D4 | C24 | 1 | 2 | yes | — |
| 728 | C23×C4 | C24 | 1 | 1 | yes | characteristic |
| 729 | C23×C4 | C24 | 1 | 2 | yes | — |
| 730 | C23×C4 | C24 | 1 | 4 | yes | — |
| 731 | C23×C4 | C24 | 1 | 4 | yes | — |
| 732 | C23×C4 | C24 | 1 | 4 | yes | — |
| 733 | C23×C4 | C24 | 1 | 4 | yes | — |
| 734 | C23×C4 | C24 | 1 | 2 | yes | — |
| 735 | C23×C4 | C24 | 1 | 4 | yes | — |
| 736 | C23×C4 | C24 | 1 | 2 | yes | — |
| 737 | C23×C4 | C24 | 1 | 2 | yes | — |
| 738 | C23×C4 | C24 | 1 | 4 | yes | — |
| 739 | C23×C4 | C24 | 1 | 4 | yes | — |
| 740 | C23×C4 | C24 | 1 | 2 | yes | — |
| 741 | C23×C4 | C24 | 1 | 2 | yes | — |
| 742 | C23×C4 | C24 | 1 | 2 | yes | — |
| 743 | #127 | — | 2 | 16 | no | — |
| 744 | #127 | — | 4 | 4 | no | — |
| 745 | #127 | — | 4 | 8 | no | — |
| 746 | #127 | — | 4 | 8 | no | — |
| 747 | #127 | — | 4 | 4 | no | — |
| 748 | #127 | — | 4 | 4 | no | — |
| 749 | #127 | — | 4 | 4 | no | — |
| 750 | #127 | — | 4 | 8 | no | — |
| 751 | #127 | — | 4 | 8 | no | — |
| 752 | #127 | — | 4 | 4 | no | — |
| 753 | #126 | — | 4 | 8 | no | — |
| 754 | #126 | — | 4 | 8 | no | — |
| 755 | #124 | — | 2 | 16 | no | — |
| 756 | #124 | — | 2 | 16 | no | — |
| 757 | #124 | — | 4 | 4 | no | — |
| 758 | #124 | — | 4 | 8 | no | — |
| 759 | #124 | — | 4 | 4 | no | — |
| 760 | #124 | — | 4 | 8 | no | — |
| 761 | #124 | — | 4 | 4 | no | — |
| 762 | #124 | — | 4 | 8 | no | — |
| 763 | #124 | — | 4 | 4 | no | — |
| 764 | #123 | — | 2 | 16 | no | — |
| 765 | #123 | — | 4 | 8 | no | — |
| 766 | #123 | — | 4 | 8 | no | — |
| 767 | #123 | — | 4 | 8 | no | — |
| 768 | #123 | — | 4 | 8 | no | — |
| 769 | #123 | — | 4 | 8 | no | — |
| 770 | C22⋊Q8 | — | 2 | 16 | no | — |
| 771 | C22⋊Q8 | — | 4 | 4 | no | — |
| 772 | #121 | — | 2 | 16 | no | — |
| 773 | #121 | — | 2 | 8 | no | — |
| 774 | #121 | — | 4 | 4 | no | — |
| 775 | #121 | — | 4 | 8 | no | — |
| 776 | #121 | — | 4 | 8 | no | — |
| 777 | #121 | — | 4 | 8 | no | — |
| 778 | #121 | — | 4 | 8 | no | — |
| 779 | #121 | — | 4 | 4 | no | — |
| 780 | #121 | — | 4 | 8 | no | — |
| 781 | #121 | — | 4 | 8 | no | — |
| 782 | #121 | — | 4 | 8 | no | — |
| 783 | #121 | — | 4 | 8 | no | — |
| 784 | #121 | — | 4 | 8 | no | — |
| 785 | #121 | — | 4 | 8 | no | — |
| 786 | #121 | — | 4 | 8 | no | — |
| 787 | #121 | — | 4 | 8 | no | — |
| 788 | #121 | — | 4 | 8 | no | — |
| 789 | #121 | — | 4 | 8 | no | — |
| 790 | #121 | — | 4 | 8 | no | — |
| 791 | #121 | — | 4 | 8 | no | — |
| 792 | #121 | — | 4 | 4 | no | — |
| 793 | #121 | — | 4 | 8 | no | — |
| 794 | #121 | — | 4 | 8 | no | — |
| 795 | #121 | — | 4 | 8 | no | — |
| 796 | #121 | — | 4 | 8 | no | — |
| 797 | #121 | — | 4 | 8 | no | — |
| 798 | #120 | — | 2 | 8 | no | — |
| 799 | #120 | — | 2 | 16 | no | — |
| 800 | #120 | — | 4 | 4 | no | — |
| 801 | #120 | — | 4 | 8 | no | — |
| 802 | #120 | — | 4 | 8 | no | — |
| 803 | #120 | — | 4 | 8 | no | — |
| 804 | #120 | — | 4 | 8 | no | — |
| 805 | #120 | — | 4 | 8 | no | — |
| 806 | #120 | — | 4 | 8 | no | — |
| 807 | #120 | — | 4 | 8 | no | — |
| 808 | #120 | — | 4 | 8 | no | — |
| 809 | #120 | — | 4 | 8 | no | — |
| 810 | #120 | — | 4 | 8 | no | — |
| 811 | #120 | — | 4 | 8 | no | — |
| 812 | #120 | — | 4 | 8 | no | — |
| 813 | #120 | — | 4 | 8 | no | — |
| 814 | #120 | — | 4 | 8 | no | — |
| 815 | #120 | — | 4 | 4 | no | — |
| 816 | #120 | — | 4 | 8 | no | — |
| 817 | #120 | — | 4 | 8 | no | — |
| 818 | #120 | — | 4 | 8 | no | — |
| 819 | #120 | — | 4 | 8 | no | — |
| 820 | #120 | — | 4 | 8 | no | — |
| 821 | #120 | — | 4 | 8 | no | — |
| 822 | #120 | — | 4 | 8 | no | — |
| 823 | #120 | — | 4 | 4 | no | — |
| 824 | C4×D4 | — | 2 | 8 | no | — |
| 825 | C4×D4 | — | 4 | 4 | no | — |
| 826 | C4×D4 | — | 4 | 8 | no | — |
| 827 | C4×D4 | — | 4 | 8 | no | — |
| 828 | C4×D4 | — | 4 | 4 | no | — |
| 829 | C4×D4 | — | 4 | 4 | no | — |
| 830 | C4×D4 | — | 4 | 8 | no | — |
| 831 | C4×D4 | — | 4 | 4 | no | — |
| 832 | C4×D4 | — | 4 | 8 | no | — |
| 833 | C4×D4 | — | 4 | 8 | no | — |
| 834 | C4×D4 | — | 4 | 8 | no | — |
| 835 | C4×D4 | — | 4 | 8 | no | — |
| 836 | #117 | — | 2 | 4 | no | — |
| 837 | #117 | — | 4 | 2 | no | — |
| 838 | #117 | — | 4 | 4 | no | — |
| 839 | #117 | — | 4 | 4 | no | — |
| 840 | #117 | — | 4 | 8 | no | — |
| 841 | #117 | — | 4 | 2 | no | — |
| 842 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 843 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 844 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 845 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 846 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 847 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 848 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 849 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 850 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 851 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 852 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 853 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 854 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 855 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 856 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 857 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 858 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 859 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 860 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 861 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 862 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 863 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 864 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 865 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 866 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 867 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 868 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 869 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 870 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 871 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 872 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 873 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 874 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 875 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 876 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 877 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 878 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 879 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 880 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 881 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 882 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 883 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 884 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 885 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 886 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 887 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 888 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 889 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 890 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 891 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 892 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 893 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 894 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 895 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 896 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 897 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 898 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 899 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 900 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 901 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 902 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 903 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 904 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 905 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 906 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 907 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 908 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 909 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 910 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 911 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 912 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 913 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 914 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 915 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 916 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 917 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 918 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 919 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 920 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 921 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 922 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 923 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 924 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 925 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 926 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 927 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 928 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 929 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 930 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 931 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 932 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 933 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 934 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 935 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 936 | C2×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 937 | C2×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 938 | C2×C42 | — | 4 | 2 | no | — |
| 939 | C2×C42 | C24 | 1 | 4 | yes | — |
| 940 | C2×C42 | C24 | 1 | 2 | yes | — |
| 941 | C2×C42 | C24 | 1 | 2 | yes | — |
| 942 | C2×C42 | C24 | 1 | 4 | yes | — |
| 943 | C2×C42 | C24 | 1 | 4 | yes | — |
| 944 | C2×C42 | C24 | 1 | 2 | yes | — |
| 945 | C2×C42 | C24 | 1 | 4 | yes | — |
| 946 | C2×C42 | C24 | 1 | 2 | yes | — |
| 947 | C2×C42 | C24 | 1 | 4 | yes | — |
| 948 | C2×C42 | C24 | 1 | 2 | yes | — |
| 949 | C2×C42 | C24 | 1 | 2 | yes | — |
| 950 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 951 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 952 | #95 | C24 | 1 | 4 | yes | — |
| 953 | #95 | C24 | 1 | 2 | yes | — |
| 954 | #95 | C24 | 1 | 4 | yes | — |
| 955 | #95 | C24 | 1 | 4 | yes | — |
| 956 | #95 | C24 | 1 | 2 | yes | — |
| 957 | #95 | C24 | 1 | 4 | yes | — |
| 958 | #95 | C24 | 1 | 4 | yes | — |
| 959 | #95 | C24 | 1 | 4 | yes | — |
| 960 | #95 | C24 | 1 | 4 | yes | — |
| 961 | #95 | C24 | 1 | 2 | yes | — |
| 962 | #95 | C24 | 1 | 4 | yes | — |
| 963 | #95 | C24 | 1 | 4 | yes | — |
| 964 | #95 | C24 | 1 | 4 | yes | — |
| 965 | #95 | C24 | 1 | 4 | yes | — |
| 966 | #95 | C24 | 1 | 2 | yes | — |
| 967 | #95 | C24 | 1 | 4 | yes | — |
| 968 | #95 | C24 | 1 | 4 | yes | — |
| 969 | #95 | C24 | 1 | 4 | yes | — |
| 970 | #95 | C24 | 1 | 4 | yes | — |
| 971 | #95 | C24 | 1 | 4 | yes | — |
| 972 | #95 | C24 | 1 | 4 | yes | — |
| 973 | #95 | C24 | 1 | 4 | yes | — |
| 974 | #95 | C24 | 1 | 4 | yes | — |
| 975 | #95 | C24 | 1 | 4 | yes | — |
| 976 | #95 | C24 | 1 | 4 | yes | — |
| 977 | #95 | C24 | 1 | 4 | yes | — |
| 978 | #95 | C24 | 1 | 4 | yes | — |
| 979 | #95 | C24 | 1 | 4 | yes | — |
| 980 | #95 | C24 | 1 | 4 | yes | — |
| 981 | #95 | C24 | 1 | 4 | yes | — |
| 982 | C24 | — | 2 | 8 | no | — |
| 983 | C24 | — | 2 | 2 | no | — |
| 984 | C24 | — | 2 | 8 | no | — |
| 985 | C24 | — | 2 | 8 | no | — |
| 986 | C24 | — | 2 | 8 | no | — |
| 987 | C24 | — | 2 | 4 | no | — |
| 988 | C24 | — | 4 | 1 | no | — |
| 989 | C24 | — | 4 | 1 | no | — |
| 990 | C24 | — | 4 | 2 | no | — |
| 991 | C24 | — | 4 | 2 | no | — |
| 992 | C24 | — | 4 | 2 | no | — |
| 993 | C24 | — | 4 | 2 | no | — |
| 994 | C24 | — | 4 | 2 | no | — |
| 995 | C24 | — | 4 | 4 | no | — |
| 996 | C24 | — | 4 | 4 | no | — |
| 997 | C24 | — | 4 | 4 | no | — |
| 998 | C24 | — | 4 | 1 | no | — |
| 999 | C24 | — | 4 | 1 | no | — |
| 1000 | C24 | — | 4 | 4 | no | — |
| 1001 | C24 | — | 4 | 4 | no | — |
| 1002 | C24 | — | 4 | 4 | no | — |
| 1003 | C24 | — | 4 | 4 | no | — |
| 1004 | C24 | — | 4 | 2 | no | — |
| 1005 | C24 | — | 4 | 2 | no | — |
| 1006 | C24 | — | 4 | 4 | no | — |
| 1007 | C24 | — | 4 | 4 | no | — |
| 1008 | C24 | — | 4 | 2 | no | — |
| 1009 | C24 | — | 4 | 4 | no | — |
| 1010 | C24 | — | 4 | 4 | no | — |
| 1011 | C24 | — | 4 | 2 | no | — |
| 1012 | C24 | — | 4 | 2 | no | — |
| 1013 | C24 | — | 4 | 2 | no | — |
| 1014 | C24 | — | 4 | 2 | no | — |
| 1015 | C24 | — | 4 | 4 | no | — |
| 1016 | C24 | — | 4 | 2 | no | — |
| 1017 | C24 | H(5,𝔽2) | 1 | 4 | yes | — |
| 1018 | C24 | C25 | 1 | 4 | yes | — |
| 1019 | C24 | C25 | 1 | 4 | yes | — |
| 1020 | C24 | C25 | 1 | 2 | yes | — |
| 1021 | C24 | C25 | 1 | 2 | yes | — |
| 1022 | C24 | C25 | 1 | 1 | yes | characteristic |
| 1023 | C24 | C25 | 1 | 4 | yes | — |
| 1024 | C24 | C25 | 1 | 2 | yes | — |
| 1025 | #41 | — | 4 | 32 | no | — |
| 1026 | #41 | — | 4 | 32 | no | — |
| 1027 | #41 | — | 4 | 64 | no | — |
| 1028 | #41 | — | 4 | 64 | no | — |
| 1029 | #41 | — | 8 | 8 | no | — |
| 1030 | #41 | — | 8 | 16 | no | — |
| 1031 | C2×Q8 | — | 2 | 4 | no | — |
| 1032 | C2×Q8 | — | 2 | 2 | no | — |
| 1033 | C2×Q8 | — | 4 | 2 | no | — |
| 1034 | C2×Q8 | — | 4 | 2 | no | — |
| 1035 | C2×Q8 | — | 4 | 2 | no | — |
| 1036 | C2×Q8 | — | 4 | 2 | no | — |
| 1037 | C2×Q8 | — | 4 | 2 | no | — |
| 1038 | C2×Q8 | — | 4 | 1 | no | — |
| 1039 | C2×Q8 | — | 4 | 1 | no | — |
| 1040 | C2×Q8 | — | 4 | 4 | no | — |
| 1041 | C2×Q8 | H(5,𝔽2) | 1 | 8 | yes | complemented |
| 1042 | C2×D4 | — | 2 | 8 | no | — |
| 1043 | C2×D4 | — | 2 | 8 | no | — |
| 1044 | C2×D4 | — | 2 | 8 | no | — |
| 1045 | C2×D4 | — | 2 | 8 | no | — |
| 1046 | C2×D4 | — | 2 | 8 | no | — |
| 1047 | C2×D4 | — | 2 | 8 | no | — |
| 1048 | C2×D4 | — | 2 | 8 | no | — |
| 1049 | C2×D4 | — | 2 | 4 | no | — |
| 1050 | C2×D4 | — | 2 | 8 | no | — |
| 1051 | C2×D4 | — | 2 | 8 | no | — |
| 1052 | C2×D4 | — | 2 | 4 | no | — |
| 1053 | C2×D4 | — | 2 | 8 | no | — |
| 1054 | C2×D4 | — | 2 | 8 | no | — |
| 1055 | C2×D4 | — | 2 | 4 | no | — |
| 1056 | C2×D4 | — | 2 | 8 | no | — |
| 1057 | C2×D4 | — | 2 | 8 | no | — |
| 1058 | C2×D4 | — | 2 | 8 | no | — |
| 1059 | C2×D4 | — | 2 | 8 | no | — |
| 1060 | C2×D4 | — | 2 | 8 | no | — |
| 1061 | C2×D4 | — | 2 | 8 | no | — |
| 1062 | C2×D4 | — | 2 | 8 | no | — |
| 1063 | C2×D4 | — | 2 | 8 | no | — |
| 1064 | C2×D4 | — | 2 | 4 | no | — |
| 1065 | C2×D4 | — | 2 | 8 | no | — |
| 1066 | C2×D4 | — | 2 | 8 | no | — |
| 1067 | C2×D4 | — | 2 | 8 | no | — |
| 1068 | C2×D4 | — | 2 | 8 | no | — |
| 1069 | C2×D4 | — | 2 | 8 | no | — |
| 1070 | C2×D4 | — | 2 | 4 | no | — |
| 1071 | C2×D4 | — | 2 | 4 | no | — |
| 1072 | C2×D4 | — | 2 | 8 | no | — |
| 1073 | C2×D4 | — | 2 | 8 | no | — |
| 1074 | C2×D4 | — | 2 | 8 | no | — |
| 1075 | C2×D4 | — | 2 | 8 | no | — |
| 1076 | C2×D4 | — | 2 | 4 | no | — |
| 1077 | C2×D4 | — | 2 | 4 | no | — |
| 1078 | C2×D4 | — | 2 | 2 | no | — |
| 1079 | C2×D4 | — | 4 | 2 | no | — |
| 1080 | C2×D4 | — | 4 | 4 | no | — |
| 1081 | C2×D4 | — | 4 | 2 | no | — |
| 1082 | C2×D4 | — | 4 | 2 | no | — |
| 1083 | C2×D4 | — | 4 | 2 | no | — |
| 1084 | C2×D4 | — | 4 | 4 | no | — |
| 1085 | C2×D4 | — | 4 | 4 | no | — |
| 1086 | C2×D4 | — | 4 | 2 | no | — |
| 1087 | C2×D4 | — | 4 | 4 | no | — |
| 1088 | C2×D4 | — | 4 | 4 | no | — |
| 1089 | C2×D4 | — | 4 | 2 | no | — |
| 1090 | C2×D4 | — | 4 | 4 | no | — |
| 1091 | C2×D4 | — | 4 | 4 | no | — |
| 1092 | C2×D4 | — | 4 | 4 | no | — |
| 1093 | C2×D4 | — | 4 | 4 | no | — |
| 1094 | C2×D4 | — | 4 | 4 | no | — |
| 1095 | C2×D4 | — | 4 | 4 | no | — |
| 1096 | C2×D4 | — | 4 | 2 | no | — |
| 1097 | C2×D4 | — | 4 | 16 | no | — |
| 1098 | C2×D4 | — | 4 | 32 | no | — |
| 1099 | C2×D4 | — | 4 | 4 | no | — |
| 1100 | C2×D4 | — | 4 | 4 | no | — |
| 1101 | C2×D4 | — | 4 | 4 | no | — |
| 1102 | C2×D4 | — | 4 | 2 | no | — |
| 1103 | C2×D4 | — | 4 | 4 | no | — |
| 1104 | C2×D4 | — | 4 | 4 | no | — |
| 1105 | C2×D4 | — | 4 | 4 | no | — |
| 1106 | C2×D4 | — | 4 | 4 | no | — |
| 1107 | C2×D4 | — | 4 | 4 | no | — |
| 1108 | C2×D4 | — | 4 | 4 | no | — |
| 1109 | C2×D4 | — | 4 | 4 | no | — |
| 1110 | C2×D4 | — | 4 | 4 | no | — |
| 1111 | C2×D4 | — | 4 | 4 | no | — |
| 1112 | C2×D4 | — | 4 | 4 | no | — |
| 1113 | C2×D4 | — | 4 | 4 | no | — |
| 1114 | C2×D4 | — | 4 | 4 | no | — |
| 1115 | C2×D4 | — | 4 | 4 | no | — |
| 1116 | C2×D4 | — | 4 | 4 | no | — |
| 1117 | C2×D4 | — | 4 | 4 | no | — |
| 1118 | C2×D4 | — | 4 | 4 | no | — |
| 1119 | C2×D4 | — | 4 | 4 | no | — |
| 1120 | C2×D4 | — | 4 | 2 | no | — |
| 1121 | C2×D4 | — | 4 | 4 | no | — |
| 1122 | C2×D4 | — | 4 | 4 | no | — |
| 1123 | C2×D4 | — | 4 | 4 | no | — |
| 1124 | C2×D4 | — | 4 | 2 | no | — |
| 1125 | C2×D4 | — | 4 | 4 | no | — |
| 1126 | C2×D4 | — | 4 | 2 | no | — |
| 1127 | C2×D4 | — | 4 | 2 | no | — |
| 1128 | C2×D4 | — | 4 | 4 | no | — |
| 1129 | C2×D4 | — | 4 | 4 | no | — |
| 1130 | C2×D4 | — | 4 | 1 | no | — |
| 1131 | C2×D4 | — | 4 | 1 | no | — |
| 1132 | C2×D4 | — | 4 | 2 | no | — |
| 1133 | C2×D4 | — | 4 | 2 | no | — |
| 1134 | C2×D4 | — | 4 | 2 | no | — |
| 1135 | C2×D4 | — | 4 | 4 | no | — |
| 1136 | C2×D4 | — | 4 | 4 | no | — |
| 1137 | C2×D4 | — | 4 | 2 | no | — |
| 1138 | C2×D4 | — | 4 | 4 | no | — |
| 1139 | C2×D4 | — | 4 | 4 | no | — |
| 1140 | C2×D4 | — | 4 | 4 | no | — |
| 1141 | C2×D4 | — | 4 | 4 | no | — |
| 1142 | C2×D4 | — | 4 | 4 | no | — |
| 1143 | C2×D4 | — | 4 | 4 | no | — |
| 1144 | C2×D4 | — | 4 | 4 | no | — |
| 1145 | C2×D4 | — | 4 | 4 | no | — |
| 1146 | C2×D4 | — | 4 | 4 | no | — |
| 1147 | C2×D4 | — | 4 | 4 | no | — |
| 1148 | C2×D4 | — | 4 | 4 | no | — |
| 1149 | C2×D4 | — | 4 | 4 | no | — |
| 1150 | C2×D4 | — | 4 | 4 | no | — |
| 1151 | C2×D4 | — | 4 | 4 | no | — |
| 1152 | C2×D4 | — | 4 | 4 | no | — |
| 1153 | C2×D4 | — | 4 | 4 | no | — |
| 1154 | C2×D4 | — | 4 | 2 | no | — |
| 1155 | C2×D4 | — | 4 | 64 | no | — |
| 1156 | C2×D4 | — | 4 | 64 | no | — |
| 1157 | C2×D4 | — | 4 | 64 | no | — |
| 1158 | C2×D4 | — | 4 | 64 | no | — |
| 1159 | C2×D4 | — | 8 | 16 | no | — |
| 1160 | C2×D4 | — | 8 | 8 | no | — |
| 1161 | C2×D4 | — | 8 | 32 | no | — |
| 1162 | C2×D4 | — | 8 | 32 | no | — |
| 1163 | C2×D4 | — | 8 | 16 | no | — |
| 1164 | C2×D4 | H(5,𝔽2) | 1 | 8 | yes | complemented |
| 1165 | C22×C4 | — | 2 | 2 | no | — |
| 1166 | C22×C4 | — | 2 | 4 | no | — |
| 1167 | C22×C4 | — | 2 | 2 | no | — |
| 1168 | C22×C4 | — | 2 | 4 | no | — |
| 1169 | C22×C4 | — | 2 | 4 | no | — |
| 1170 | C22×C4 | — | 2 | 2 | no | — |
| 1171 | C22×C4 | — | 2 | 8 | no | — |
| 1172 | C22×C4 | — | 2 | 8 | no | — |
| 1173 | C22×C4 | — | 2 | 8 | no | — |
| 1174 | C22×C4 | — | 2 | 8 | no | — |
| 1175 | C22×C4 | — | 2 | 8 | no | — |
| 1176 | C22×C4 | — | 2 | 8 | no | — |
| 1177 | C22×C4 | — | 2 | 8 | no | — |
| 1178 | C22×C4 | — | 2 | 8 | no | — |
| 1179 | C22×C4 | — | 2 | 8 | no | — |
| 1180 | C22×C4 | — | 2 | 4 | no | — |
| 1181 | C22×C4 | — | 2 | 4 | no | — |
| 1182 | C22×C4 | — | 2 | 8 | no | — |
| 1183 | C22×C4 | — | 2 | 4 | no | — |
| 1184 | C22×C4 | — | 4 | 4 | no | — |
| 1185 | C22×C4 | — | 4 | 4 | no | — |
| 1186 | C22×C4 | — | 4 | 4 | no | — |
| 1187 | C22×C4 | — | 4 | 4 | no | — |
| 1188 | C22×C4 | — | 4 | 4 | no | — |
| 1189 | C22×C4 | — | 4 | 4 | no | — |
| 1190 | C22×C4 | — | 4 | 4 | no | — |
| 1191 | C22×C4 | — | 4 | 4 | no | — |
| 1192 | C22×C4 | — | 4 | 4 | no | — |
| 1193 | C22×C4 | — | 4 | 2 | no | — |
| 1194 | C22×C4 | — | 4 | 4 | no | — |
| 1195 | C22×C4 | — | 4 | 2 | no | — |
| 1196 | C22×C4 | — | 4 | 4 | no | — |
| 1197 | C22×C4 | — | 4 | 2 | no | — |
| 1198 | C22×C4 | — | 4 | 2 | no | — |
| 1199 | C22×C4 | — | 4 | 4 | no | — |
| 1200 | C22×C4 | — | 4 | 4 | no | — |
| 1201 | C22×C4 | — | 4 | 4 | no | — |
| 1202 | C22×C4 | — | 4 | 2 | no | — |
| 1203 | C22×C4 | — | 4 | 4 | no | — |
| 1204 | C22×C4 | — | 4 | 4 | no | — |
| 1205 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1206 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1207 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1208 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1209 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1210 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1211 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1212 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1213 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1214 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1215 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1216 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1217 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1218 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1219 | C22×C4 | C25 | 1 | 2 | yes | — |
| 1220 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1221 | C4⋊C4 | — | 2 | 2 | no | — |
| 1222 | C4⋊C4 | — | 2 | 8 | no | — |
| 1223 | C4⋊C4 | — | 2 | 8 | no | — |
| 1224 | C4⋊C4 | — | 2 | 8 | no | — |
| 1225 | C4⋊C4 | — | 2 | 8 | no | — |
| 1226 | C4⋊C4 | — | 2 | 8 | no | — |
| 1227 | C4⋊C4 | — | 4 | 1 | no | — |
| 1228 | C4⋊C4 | — | 4 | 1 | no | — |
| 1229 | C4⋊C4 | — | 4 | 2 | no | — |
| 1230 | C4⋊C4 | — | 4 | 4 | no | — |
| 1231 | C4⋊C4 | — | 4 | 2 | no | — |
| 1232 | C4⋊C4 | — | 4 | 2 | no | — |
| 1233 | C4⋊C4 | — | 4 | 2 | no | — |
| 1234 | C4⋊C4 | — | 4 | 2 | no | — |
| 1235 | C4⋊C4 | — | 4 | 4 | no | — |
| 1236 | C4⋊C4 | — | 4 | 4 | no | — |
| 1237 | C4⋊C4 | — | 4 | 2 | no | — |
| 1238 | C4⋊C4 | — | 4 | 4 | no | — |
| 1239 | C4⋊C4 | — | 4 | 4 | no | — |
| 1240 | C4⋊C4 | — | 4 | 4 | no | — |
| 1241 | C4⋊C4 | — | 4 | 2 | no | — |
| 1242 | C4⋊C4 | — | 4 | 4 | no | — |
| 1243 | C4⋊C4 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 1244 | C22⋊C4 | — | 2 | 4 | no | — |
| 1245 | C22⋊C4 | — | 2 | 8 | no | — |
| 1246 | C22⋊C4 | — | 2 | 8 | no | — |
| 1247 | C22⋊C4 | — | 2 | 8 | no | — |
| 1248 | C22⋊C4 | — | 2 | 4 | no | — |
| 1249 | C22⋊C4 | — | 2 | 4 | no | — |
| 1250 | C22⋊C4 | — | 2 | 8 | no | — |
| 1251 | C22⋊C4 | — | 2 | 4 | no | — |
| 1252 | C22⋊C4 | — | 2 | 8 | no | — |
| 1253 | C22⋊C4 | — | 2 | 8 | no | — |
| 1254 | C22⋊C4 | — | 2 | 8 | no | — |
| 1255 | C22⋊C4 | — | 2 | 8 | no | — |
| 1256 | C22⋊C4 | — | 2 | 8 | no | — |
| 1257 | C22⋊C4 | — | 2 | 8 | no | — |
| 1258 | C22⋊C4 | — | 2 | 8 | no | — |
| 1259 | C22⋊C4 | — | 2 | 8 | no | — |
| 1260 | C22⋊C4 | — | 2 | 8 | no | — |
| 1261 | C22⋊C4 | — | 2 | 8 | no | — |
| 1262 | C22⋊C4 | — | 2 | 8 | no | — |
| 1263 | C22⋊C4 | — | 2 | 8 | no | — |
| 1264 | C22⋊C4 | — | 2 | 8 | no | — |
| 1265 | C22⋊C4 | — | 2 | 8 | no | — |
| 1266 | C22⋊C4 | — | 2 | 8 | no | — |
| 1267 | C22⋊C4 | — | 2 | 8 | no | — |
| 1268 | C22⋊C4 | — | 2 | 8 | no | — |
| 1269 | C22⋊C4 | — | 2 | 8 | no | — |
| 1270 | C22⋊C4 | — | 4 | 2 | no | — |
| 1271 | C22⋊C4 | — | 4 | 4 | no | — |
| 1272 | C22⋊C4 | — | 4 | 2 | no | — |
| 1273 | C22⋊C4 | — | 4 | 2 | no | — |
| 1274 | C22⋊C4 | — | 4 | 4 | no | — |
| 1275 | C22⋊C4 | — | 4 | 4 | no | — |
| 1276 | C22⋊C4 | — | 4 | 4 | no | — |
| 1277 | C22⋊C4 | — | 4 | 4 | no | — |
| 1278 | C22⋊C4 | — | 4 | 4 | no | — |
| 1279 | C22⋊C4 | — | 4 | 4 | no | — |
| 1280 | C22⋊C4 | — | 4 | 4 | no | — |
| 1281 | C22⋊C4 | — | 4 | 4 | no | — |
| 1282 | C22⋊C4 | — | 4 | 4 | no | — |
| 1283 | C22⋊C4 | — | 4 | 4 | no | — |
| 1284 | C22⋊C4 | — | 4 | 4 | no | — |
| 1285 | C22⋊C4 | — | 4 | 4 | no | — |
| 1286 | C22⋊C4 | — | 4 | 4 | no | — |
| 1287 | C22⋊C4 | — | 4 | 4 | no | — |
| 1288 | C22⋊C4 | — | 4 | 4 | no | — |
| 1289 | C22⋊C4 | — | 4 | 4 | no | — |
| 1290 | C22⋊C4 | — | 4 | 4 | no | — |
| 1291 | C22⋊C4 | — | 4 | 4 | no | — |
| 1292 | C22⋊C4 | — | 4 | 2 | no | — |
| 1293 | C22⋊C4 | — | 4 | 4 | no | — |
| 1294 | C22⋊C4 | — | 4 | 4 | no | — |
| 1295 | C22⋊C4 | — | 4 | 2 | no | — |
| 1296 | C22⋊C4 | — | 4 | 4 | no | — |
| 1297 | C22⋊C4 | — | 4 | 4 | no | — |
| 1298 | C22⋊C4 | — | 4 | 4 | no | — |
| 1299 | C22⋊C4 | — | 4 | 4 | no | — |
| 1300 | C22⋊C4 | — | 4 | 4 | no | — |
| 1301 | C22⋊C4 | — | 4 | 4 | no | — |
| 1302 | C22⋊C4 | — | 4 | 4 | no | — |
| 1303 | C22⋊C4 | — | 4 | 4 | no | — |
| 1304 | C22⋊C4 | — | 4 | 4 | no | — |
| 1305 | C22⋊C4 | — | 4 | 4 | no | — |
| 1306 | C22⋊C4 | — | 4 | 4 | no | — |
| 1307 | C22⋊C4 | — | 4 | 4 | no | — |
| 1308 | C22⋊C4 | — | 4 | 4 | no | — |
| 1309 | C22⋊C4 | — | 4 | 4 | no | — |
| 1310 | C42 | — | 2 | 4 | no | — |
| 1311 | C42 | — | 2 | 8 | no | — |
| 1312 | C42 | — | 2 | 4 | no | — |
| 1313 | C42 | — | 2 | 8 | no | — |
| 1314 | C42 | — | 2 | 8 | no | — |
| 1315 | C42 | — | 4 | 1 | no | — |
| 1316 | C42 | — | 4 | 1 | no | — |
| 1317 | C42 | — | 4 | 2 | no | — |
| 1318 | C42 | — | 4 | 2 | no | — |
| 1319 | C42 | — | 4 | 4 | no | — |
| 1320 | C42 | — | 4 | 4 | no | — |
| 1321 | C42 | — | 4 | 2 | no | — |
| 1322 | C42 | — | 4 | 2 | no | — |
| 1323 | C23 | — | 2 | 1 | no | — |
| 1324 | C23 | — | 2 | 4 | no | — |
| 1325 | C23 | — | 2 | 2 | no | — |
| 1326 | C23 | — | 2 | 4 | no | — |
| 1327 | C23 | — | 2 | 4 | no | — |
| 1328 | C23 | — | 2 | 2 | no | — |
| 1329 | C23 | — | 2 | 2 | no | — |
| 1330 | C23 | — | 2 | 4 | no | — |
| 1331 | C23 | — | 2 | 4 | no | — |
| 1332 | C23 | — | 2 | 4 | no | — |
| 1333 | C23 | — | 2 | 4 | no | — |
| 1334 | C23 | — | 2 | 4 | no | — |
| 1335 | C23 | — | 2 | 2 | no | — |
| 1336 | C23 | — | 2 | 1 | no | — |
| 1337 | C23 | — | 2 | 4 | no | — |
| 1338 | C23 | — | 2 | 4 | no | — |
| 1339 | C23 | — | 2 | 4 | no | — |
| 1340 | C23 | — | 2 | 4 | no | — |
| 1341 | C23 | — | 2 | 4 | no | — |
| 1342 | C23 | — | 2 | 4 | no | — |
| 1343 | C23 | — | 2 | 2 | no | — |
| 1344 | C23 | — | 2 | 4 | no | — |
| 1345 | C23 | — | 2 | 4 | no | — |
| 1346 | C23 | — | 2 | 4 | no | — |
| 1347 | C23 | — | 2 | 4 | no | — |
| 1348 | C23 | — | 2 | 2 | no | — |
| 1349 | C23 | — | 2 | 4 | no | — |
| 1350 | C23 | — | 2 | 4 | no | — |
| 1351 | C23 | — | 2 | 2 | no | — |
| 1352 | C23 | — | 2 | 4 | no | — |
| 1353 | C23 | — | 2 | 4 | no | — |
| 1354 | C23 | — | 2 | 2 | no | — |
| 1355 | C23 | — | 2 | 4 | no | — |
| 1356 | C23 | — | 2 | 4 | no | — |
| 1357 | C23 | — | 2 | 4 | no | — |
| 1358 | C23 | — | 2 | 2 | no | — |
| 1359 | C23 | — | 2 | 4 | no | — |
| 1360 | C23 | — | 2 | 2 | no | — |
| 1361 | C23 | — | 4 | 8 | no | — |
| 1362 | C23 | — | 4 | 4 | no | — |
| 1363 | C23 | — | 4 | 16 | no | — |
| 1364 | C23 | — | 4 | 8 | no | — |
| 1365 | C23 | — | 4 | 8 | no | — |
| 1366 | C23 | — | 4 | 16 | no | — |
| 1367 | C23 | — | 4 | 4 | no | — |
| 1368 | C23 | — | 8 | 8 | no | — |
| 1369 | C23 | — | 8 | 8 | no | — |
| 1370 | C23 | — | 8 | 4 | no | — |
| 1371 | C23 | — | 8 | 4 | no | — |
| 1372 | C23 | — | 8 | 8 | no | — |
| 1373 | C23 | — | 8 | 8 | no | — |
| 1374 | C23 | — | 8 | 4 | no | — |
| 1375 | C23 | — | 8 | 8 | no | — |
| 1376 | C23 | — | 8 | 8 | no | — |
| 1377 | C23 | — | 8 | 8 | no | — |
| 1378 | C23 | — | 8 | 8 | no | — |
| 1379 | C23 | — | 16 | 1 | no | — |
| 1380 | C23 | — | 16 | 1 | no | — |
| 1381 | C23 | — | 16 | 2 | no | — |
| 1382 | C23 | — | 16 | 2 | no | — |
| 1383 | C23 | — | 16 | 4 | no | — |
| 1384 | C23 | — | 16 | 4 | no | — |
| 1385 | C23 | — | 16 | 2 | no | — |
| 1386 | C23 | — | 16 | 2 | no | — |
| 1387 | C23 | — | 16 | 2 | no | — |
| 1388 | C23 | — | 16 | 1 | no | — |
| 1389 | C23 | — | 16 | 2 | no | — |
| 1390 | C23 | — | 16 | 4 | no | — |
| 1391 | C23 | — | 16 | 4 | no | — |
| 1392 | C23 | — | 16 | 1 | no | — |
| 1393 | C23 | — | 16 | 2 | no | — |
| 1394 | C23 | — | 16 | 4 | no | — |
| 1395 | C23 | — | 16 | 2 | no | — |
| 1396 | C23 | — | 16 | 4 | no | — |
| 1397 | C23 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1398 | C23 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1399 | C23 | C2×H(5,𝔽2) | 1 | 8 | yes | — |
| 1400 | C23 | C26 | 1 | 1 | yes | characteristic |
| 1401 | Q8 | — | 4 | 8 | no | — |
| 1402 | Q8 | — | 4 | 8 | no | — |
| 1403 | Q8 | — | 8 | 2 | no | — |
| 1404 | Q8 | — | 8 | 4 | no | — |
| 1405 | D4 | — | 2 | 32 | no | — |
| 1406 | D4 | — | 4 | 8 | no | — |
| 1407 | D4 | — | 4 | 8 | no | — |
| 1408 | D4 | — | 4 | 8 | no | — |
| 1409 | D4 | — | 4 | 16 | no | — |
| 1410 | D4 | — | 4 | 16 | no | — |
| 1411 | D4 | — | 4 | 16 | no | — |
| 1412 | D4 | — | 4 | 16 | no | — |
| 1413 | D4 | — | 4 | 16 | no | — |
| 1414 | D4 | — | 4 | 8 | no | — |
| 1415 | D4 | — | 4 | 16 | no | — |
| 1416 | D4 | — | 4 | 8 | no | — |
| 1417 | D4 | — | 4 | 16 | no | — |
| 1418 | D4 | — | 4 | 16 | no | — |
| 1419 | D4 | — | 8 | 8 | no | — |
| 1420 | D4 | — | 8 | 8 | no | — |
| 1421 | D4 | — | 8 | 8 | no | — |
| 1422 | D4 | — | 8 | 8 | no | — |
| 1423 | D4 | — | 8 | 4 | no | — |
| 1424 | D4 | — | 8 | 4 | no | — |
| 1425 | D4 | — | 8 | 2 | no | — |
| 1426 | D4 | — | 8 | 8 | no | — |
| 1427 | D4 | — | 8 | 8 | no | — |
| 1428 | D4 | — | 8 | 8 | no | — |
| 1429 | D4 | — | 8 | 8 | no | — |
| 1430 | D4 | — | 8 | 8 | no | — |
| 1431 | D4 | — | 8 | 8 | no | — |
| 1432 | D4 | — | 8 | 8 | no | — |
| 1433 | D4 | — | 8 | 4 | no | — |
| 1434 | D4 | — | 8 | 8 | no | — |
| 1435 | D4 | — | 8 | 4 | no | — |
| 1436 | D4 | — | 16 | 4 | no | — |
| 1437 | D4 | — | 16 | 4 | no | — |
| 1438 | D4 | — | 16 | 4 | no | — |
| 1439 | D4 | — | 16 | 4 | no | — |
| 1440 | D4 | — | 16 | 4 | no | — |
| 1441 | D4 | — | 16 | 4 | no | — |
| 1442 | D4 | — | 16 | 2 | no | — |
| 1443 | C2×C4 | — | 2 | 16 | no | — |
| 1444 | C2×C4 | — | 2 | 8 | no | — |
| 1445 | C2×C4 | — | 2 | 1 | no | — |
| 1446 | C2×C4 | — | 2 | 1 | no | — |
| 1447 | C2×C4 | — | 2 | 1 | no | — |
| 1448 | C2×C4 | — | 2 | 2 | no | — |
| 1449 | C2×C4 | — | 2 | 2 | no | — |
| 1450 | C2×C4 | — | 2 | 4 | no | — |
| 1451 | C2×C4 | — | 2 | 4 | no | — |
| 1452 | C2×C4 | — | 2 | 4 | no | — |
| 1453 | C2×C4 | — | 2 | 2 | no | — |
| 1454 | C2×C4 | — | 2 | 2 | no | — |
| 1455 | C2×C4 | — | 2 | 1 | no | — |
| 1456 | C2×C4 | — | 2 | 4 | no | — |
| 1457 | C2×C4 | — | 2 | 4 | no | — |
| 1458 | C2×C4 | — | 2 | 2 | no | — |
| 1459 | C2×C4 | — | 2 | 4 | no | — |
| 1460 | C2×C4 | — | 2 | 4 | no | — |
| 1461 | C2×C4 | — | 2 | 4 | no | — |
| 1462 | C2×C4 | — | 2 | 2 | no | — |
| 1463 | C2×C4 | — | 2 | 4 | no | — |
| 1464 | C2×C4 | — | 2 | 2 | no | — |
| 1465 | C2×C4 | — | 2 | 4 | no | — |
| 1466 | C2×C4 | — | 2 | 2 | no | — |
| 1467 | C2×C4 | — | 2 | 4 | no | — |
| 1468 | C2×C4 | — | 2 | 4 | no | — |
| 1469 | C2×C4 | — | 2 | 2 | no | — |
| 1470 | C2×C4 | — | 2 | 4 | no | — |
| 1471 | C2×C4 | — | 2 | 4 | no | — |
| 1472 | C2×C4 | — | 2 | 4 | no | — |
| 1473 | C2×C4 | — | 2 | 4 | no | — |
| 1474 | C2×C4 | — | 2 | 4 | no | — |
| 1475 | C2×C4 | — | 2 | 4 | no | — |
| 1476 | C2×C4 | — | 2 | 4 | no | — |
| 1477 | C2×C4 | — | 2 | 4 | no | — |
| 1478 | C2×C4 | — | 2 | 4 | no | — |
| 1479 | C2×C4 | — | 2 | 4 | no | — |
| 1480 | C2×C4 | — | 2 | 4 | no | — |
| 1481 | C2×C4 | — | 2 | 2 | no | — |
| 1482 | C2×C4 | — | 2 | 4 | no | — |
| 1483 | C2×C4 | — | 4 | 16 | no | — |
| 1484 | C2×C4 | — | 4 | 16 | no | — |
| 1485 | C2×C4 | — | 4 | 16 | no | — |
| 1486 | C2×C4 | — | 4 | 16 | no | — |
| 1487 | C2×C4 | — | 4 | 16 | no | — |
| 1488 | C2×C4 | — | 8 | 4 | no | — |
| 1489 | C2×C4 | — | 8 | 8 | no | — |
| 1490 | C2×C4 | — | 8 | 4 | no | — |
| 1491 | C2×C4 | — | 8 | 4 | no | — |
| 1492 | C2×C4 | — | 16 | 4 | no | — |
| 1493 | C2×C4 | — | 16 | 2 | no | — |
| 1494 | C2×C4 | — | 16 | 2 | no | — |
| 1495 | C2×C4 | — | 16 | 2 | no | — |
| 1496 | C2×C4 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1497 | C2×C4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1498 | C2×C4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1499 | C2×C4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1500 | C2×C4 | C2×H(5,𝔽2) | 1 | 8 | yes | — |
| 1501 | C2×C4 | #585 | 1 | 2 | yes | — |
| 1502 | C22 | — | 2 | 8 | no | — |
| 1503 | C22 | — | 2 | 8 | no | — |
| 1504 | C22 | — | 2 | 4 | no | — |
| 1505 | C22 | — | 2 | 8 | no | — |
| 1506 | C22 | — | 2 | 8 | no | — |
| 1507 | C22 | — | 2 | 2 | no | — |
| 1508 | C22 | — | 2 | 4 | no | — |
| 1509 | C22 | — | 4 | 2 | no | — |
| 1510 | C22 | — | 4 | 1 | no | — |
| 1511 | C22 | — | 4 | 4 | no | — |
| 1512 | C22 | — | 4 | 4 | no | — |
| 1513 | C22 | — | 4 | 2 | no | — |
| 1514 | C22 | — | 4 | 4 | no | — |
| 1515 | C22 | — | 4 | 2 | no | — |
| 1516 | C22 | — | 4 | 1 | no | — |
| 1517 | C22 | — | 4 | 4 | no | — |
| 1518 | C22 | — | 4 | 4 | no | — |
| 1519 | C22 | — | 4 | 2 | no | — |
| 1520 | C22 | — | 4 | 4 | no | — |
| 1521 | C22 | — | 4 | 2 | no | — |
| 1522 | C22 | — | 4 | 4 | no | — |
| 1523 | C22 | — | 4 | 4 | no | — |
| 1524 | C22 | — | 4 | 4 | no | — |
| 1525 | C22 | — | 4 | 4 | no | — |
| 1526 | C22 | — | 4 | 4 | no | — |
| 1527 | C22 | — | 4 | 4 | no | — |
| 1528 | C22 | — | 4 | 4 | no | — |
| 1529 | C22 | — | 4 | 2 | no | — |
| 1530 | C22 | — | 4 | 2 | no | — |
| 1531 | C22 | — | 4 | 4 | no | — |
| 1532 | C22 | — | 4 | 4 | no | — |
| 1533 | C22 | — | 4 | 4 | no | — |
| 1534 | C22 | — | 4 | 4 | no | — |
| 1535 | C22 | — | 4 | 4 | no | — |
| 1536 | C22 | — | 4 | 4 | no | — |
| 1537 | C22 | — | 4 | 4 | no | — |
| 1538 | C22 | — | 4 | 4 | no | — |
| 1539 | C22 | — | 4 | 2 | no | — |
| 1540 | C22 | — | 4 | 2 | no | — |
| 1541 | C22 | — | 4 | 4 | no | — |
| 1542 | C22 | — | 4 | 4 | no | — |
| 1543 | C22 | — | 16 | 4 | no | — |
| 1544 | C22 | — | 16 | 8 | no | — |
| 1545 | C22 | — | 16 | 16 | no | — |
| 1546 | C22 | — | 16 | 16 | no | — |
| 1547 | C22 | — | 16 | 4 | no | — |
| 1548 | C22 | — | 16 | 8 | no | — |
| 1549 | C22 | C22×H(5,𝔽2) | 1 | 2 | yes | — |
| 1550 | C22 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1551 | C22 | C22×H(5,𝔽2) | 1 | 2 | yes | — |
| 1552 | C22 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1553 | C22 | C2×#585 | 1 | 1 | yes | characteristic |
| 1554 | C4 | — | 2 | 4 | no | — |
| 1555 | C4 | — | 2 | 4 | no | — |
| 1556 | C4 | — | 2 | 4 | no | — |
| 1557 | C4 | — | 2 | 8 | no | — |
| 1558 | C4 | — | 2 | 2 | no | — |
| 1559 | C4 | — | 2 | 2 | no | — |
| 1560 | C4 | — | 4 | 4 | no | — |
| 1561 | C4 | — | 4 | 2 | no | — |
| 1562 | C4 | — | 4 | 4 | no | — |
| 1563 | C4 | — | 4 | 4 | no | — |
| 1564 | C4 | — | 4 | 2 | no | — |
| 1565 | C4 | — | 4 | 4 | no | — |
| 1566 | C4 | — | 4 | 2 | no | — |
| 1567 | C4 | — | 4 | 4 | no | — |
| 1568 | C4 | — | 4 | 4 | no | — |
| 1569 | C4 | — | 4 | 2 | no | — |
| 1570 | C2 | — | 4 | 8 | no | — |
| 1571 | C2 | — | 4 | 4 | no | — |
| 1572 | C2 | — | 4 | 2 | no | — |
| 1573 | C2 | — | 8 | 2 | no | — |
| 1574 | C2 | — | 8 | 2 | no | — |
| 1575 | C2 | — | 8 | 4 | no | — |
| 1576 | C2 | — | 8 | 4 | no | — |
| 1577 | C2 | #62817 | 1 | 2 | yes | — |
| 1578 | C2 | #62818 | 1 | 1 | yes | characteristic |
| 1579 | C2 | #63011 | 1 | 1 | yes | characteristic |
| 1580 | C2 | #63014 | 1 | 2 | yes | — |
| 1581 | C2 | #63040 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C23 | C26 |
| LCS | G ▷ C23 ▷ C1 | |
| UCS | C1 ◁ C23 ◁ G | |
| LECS | G ▷ C23 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #60048 | C2 | semidirect |
| 2. #60045 | C2 | semidirect |
| 3. #60044 | C2 | semidirect |
| 4. #54852 | C2 | semidirect |
| 5. #54843 | C2 | semidirect |
| 6. #53422 | C2 | semidirect |
| 7. #49590 | C2 | semidirect |
| 8. #49545 | C2 | semidirect |
| 9. #47794 | C2 | semidirect |
| 10. #47689 | C2 | semidirect |
| 11. #47177 | C2 | semidirect |
| 12. #46355 | C2 | semidirect |
| 13. #44870 | C2 | semidirect |
| 14. #44242 | C2 | semidirect |
| 15. #44228 | C2 | semidirect |
| 16. #44158 | C2 | semidirect |
| 17. #44148 | C2 | semidirect |
| 18. #43894 | C2 | semidirect |
| 19. #43886 | C2 | semidirect |
| 20. #35692 | C2 | semidirect |
| 21. #35680 | C2 | semidirect |
| 22. #35528 | C2 | semidirect |
| 23. #35527 | C2 | semidirect |
| 24. C22×H(5,𝔽2) | C22 | semidirect |
| 25. C2×#546 | C22 | semidirect |
| 26. C2×#546 | C22 | semidirect |
| 27. C2×D42 | C22 | semidirect |
| 28. C2×D42 | C22 | semidirect |
| 29. C2×#538 | C22 | semidirect |
| 30. C2×#535 | C22 | semidirect |
| 31. C2×#535 | C22 | semidirect |
| 32. C2×#535 | C22 | semidirect |
| 33. C2×#535 | C22 | semidirect |
| 34. C2×#535 | C22 | semidirect |
| 35. C2×#534 | C22 | semidirect |
| 36. C22×#127 | C22 | semidirect |
| 37. C2×#518 | C22 | semidirect |
| 38. #2828 | C22 | semidirect |
| 39. #2819 | C22 | semidirect |
| 40. #2818 | C22 | semidirect |
| 41. #2815 | C22 | semidirect |
| 42. #2811 | C22 | semidirect |
| 43. #2808 | C22 | semidirect |
| 44. #2806 | C22 | semidirect |
| 45. #2804 | C22 | semidirect |
| 46. #2804 | C22 | semidirect |
| 47. #2784 | C22 | semidirect |
| 48. #2756 | C22 | semidirect |
| 49. #2756 | C22 | semidirect |
| 50. #2753 | C22 | semidirect |
| 51. #2737 | C22 | semidirect |
| 52. #2733 | C22 | semidirect |
| 53. #2733 | C22 | semidirect |
| 54. #2733 | C22 | semidirect |
| 55. #2732 | C22 | semidirect |
| 56. #2730 | C22 | semidirect |
| 57. #2714 | C22 | semidirect |
| 58. #2714 | C22 | semidirect |
| 59. #2706 | C22 | semidirect |
| 60. #2703 | C22 | semidirect |
| 61. #2699 | C22 | semidirect |
| 62. #2699 | C22 | semidirect |
| 63. #2686 | C22 | semidirect |
| 64. #2686 | C22 | semidirect |
| 65. #2685 | C22 | semidirect |
| 66. #2685 | C22 | semidirect |
| 67. #2684 | C22 | semidirect |
| 68. #2684 | C22 | semidirect |
| 69. #2682 | C22 | semidirect |
| 70. #2679 | C22 | semidirect |
| 71. #2679 | C22 | semidirect |
| 72. #2679 | C22 | semidirect |
| 73. #2678 | C22 | semidirect |
| 74. #2678 | C22 | semidirect |
| 75. #2678 | C22 | semidirect |
| 76. #2676 | C22 | semidirect |
| 77. #2675 | C22 | semidirect |
| 78. #2673 | C22 | semidirect |
| 79. #2673 | C22 | semidirect |
| 80. #2673 | C22 | semidirect |
| 81. #2673 | C22 | semidirect |
| 82. #2673 | C22 | semidirect |
| 83. #2673 | C22 | semidirect |
| 84. #2671 | C22 | semidirect |
| 85. #2670 | C22 | semidirect |
| 86. #2670 | C22 | semidirect |
| 87. #2670 | C22 | semidirect |
| 88. #2670 | C22 | semidirect |
| 89. #2669 | C22 | semidirect |
| 90. #2669 | C22 | semidirect |
| 91. #2669 | C22 | semidirect |
| 92. #2669 | C22 | semidirect |
| 93. #2669 | C22 | semidirect |
| 94. #2669 | C22 | semidirect |
| 95. #2668 | C22 | semidirect |
| 96. #2635 | C22 | semidirect |
| 97. #2631 | C22 | semidirect |
| 98. #2626 | C22 | semidirect |
| 99. #2615 | C22 | semidirect |
| 100. #2613 | C22 | semidirect |
| 101. #2613 | C22 | semidirect |
| 102. #2610 | C22 | semidirect |
| 103. #2610 | C22 | semidirect |
| 104. #2610 | C22 | semidirect |
| 105. #2609 | C22 | semidirect |
| 106. #2603 | C22 | semidirect |
| 107. #2603 | C22 | semidirect |
| 108. #2601 | C22 | semidirect |
| 109. #2598 | C22 | semidirect |
| 110. #2598 | C22 | semidirect |
| 111. #2574 | C22 | semidirect |
| 112. #2572 | C22 | semidirect |
| 113. #2572 | C22 | semidirect |
| 114. #2564 | C22 | semidirect |
| 115. #2559 | C22 | semidirect |
| 116. #2557 | C22 | semidirect |
| 117. #2555 | C22 | semidirect |
| 118. #2555 | C22 | semidirect |
| 119. #2555 | C22 | semidirect |
| 120. #2554 | C22 | semidirect |
| 121. #2554 | C22 | semidirect |
| 122. #2553 | C22 | semidirect |
| 123. #2544 | C22 | semidirect |
| 124. #2544 | C22 | semidirect |
| 125. #2543 | C22 | semidirect |
| 126. #2541 | C22 | semidirect |
| 127. #2541 | C22 | semidirect |
| 128. #2541 | C22 | semidirect |
| 129. #2539 | C22 | semidirect |
| 130. #2539 | C22 | semidirect |
| 131. #2526 | C22 | semidirect |
| 132. #2476 | C22 | semidirect |
| 133. #2471 | C22 | semidirect |
| 134. #2464 | C22 | semidirect |
| 135. #2464 | C22 | semidirect |
| 136. #2461 | C22 | semidirect |
| 137. #2459 | C22 | semidirect |
| 138. #2456 | C22 | semidirect |
| 139. #2456 | C22 | semidirect |
| 140. #2456 | C22 | semidirect |
| 141. #2433 | C22 | semidirect |
| 142. #2433 | C22 | semidirect |
| 143. #2433 | C22 | semidirect |
| 144. #2433 | C22 | semidirect |
| 145. #2433 | C22 | semidirect |
| 146. #2433 | C22 | semidirect |
| 147. #2433 | C22 | semidirect |
| 148. #2431 | C22 | semidirect |
| 149. #2431 | C22 | semidirect |
| 150. #2431 | C22 | semidirect |
| 151. #2431 | C22 | semidirect |
| 152. #2431 | C22 | semidirect |
| 153. #2431 | C22 | semidirect |
| 154. #2431 | C22 | semidirect |
| 155. #2430 | C22 | semidirect |
| 156. #2430 | C22 | semidirect |
| 157. #2430 | C22 | semidirect |
| 158. #2428 | C22 | semidirect |
| 159. #2428 | C22 | semidirect |
| 160. #2428 | C22 | semidirect |
| 161. #2424 | C22 | semidirect |
| 162. #2424 | C22 | semidirect |
| 163. #2424 | C22 | semidirect |
| 164. #2424 | C22 | semidirect |
| 165. #2424 | C22 | semidirect |
| 166. #2418 | C22 | semidirect |
| 167. #2414 | C22 | semidirect |
| 168. #2411 | C22 | semidirect |
| 169. #2410 | C22 | semidirect |
| 170. #2410 | C22 | semidirect |
| 171. #2410 | C22 | semidirect |
| 172. #2410 | C22 | semidirect |
| 173. #2410 | C22 | semidirect |
| 174. #2410 | C22 | semidirect |
| 175. #2410 | C22 | semidirect |
| 176. #2408 | C22 | semidirect |
| 177. #2408 | C22 | semidirect |
| 178. #2407 | C22 | semidirect |
| 179. #2407 | C22 | semidirect |
| 180. #2404 | C22 | semidirect |
| 181. #2404 | C22 | semidirect |
| 182. #2404 | C22 | semidirect |
| 183. #2404 | C22 | semidirect |
| 184. #2403 | C22 | semidirect |
| 185. #2403 | C22 | semidirect |
| 186. #2403 | C22 | semidirect |
| 187. #2403 | C22 | semidirect |
| 188. #2403 | C22 | semidirect |
| 189. #2403 | C22 | semidirect |
| 190. #2403 | C22 | semidirect |
| 191. #2397 | C22 | semidirect |
| 192. #2388 | C22 | semidirect |
| 193. #2388 | C22 | semidirect |
| 195. C2×#392 | C22 | semidirect |
| 196. #2375 | C22 | semidirect |
| 197. #2372 | C22 | semidirect |
| 198. #2372 | C22 | semidirect |
| 199. #2368 | C22 | semidirect |
| 200. #2363 | C22 | semidirect |
| 201. #2359 | C22 | semidirect |
| 202. #2358 | C22 | semidirect |
| 203. #2358 | C22 | semidirect |
| 204. #2358 | C22 | semidirect |
| 205. #2353 | C22 | semidirect |
| 206. #2339 | C22 | semidirect |
| 207. D4×C22⋊C4 | C22 | semidirect |
| 208. D4×C22⋊C4 | C22 | semidirect |
| 209. #2337 | C22 | semidirect |
| 210. #2333 | C22 | semidirect |
| 211. #2328 | C22 | semidirect |
| 212. #2321 | C22 | semidirect |
| 213. #2309 | C22 | semidirect |
| 214. #2309 | C22 | semidirect |
| 215. #2297 | C22 | semidirect |
| 216. #2297 | C22 | semidirect |
| 217. #2297 | C22 | semidirect |
| 218. #2296 | C22 | semidirect |
| 1041. C2×Q8 | H(5,𝔽2) | semidirect |
| 1164. C2×D4 | H(5,𝔽2) | semidirect |
| 1243. C4⋊C4 | H(5,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #60048 | 2 |
| #60045 | 2 |
| #60044 | 2 |
| #54852 | 2 |
| #54843 | 2 |
| #53422 | 2 |
| #49590 | 2 |
| #49545 | 2 |
| #47794 | 2 |
| #47689 | 2 |
| #47177 | 2 |
| #46355 | 2 |
| #44870 | 2 |
| #44242 | 2 |
| #44228 | 2 |
| #44158 | 2 |
| #44148 | 2 |
| #43894 | 2 |
| #43886 | 2 |
| #35692 | 2 |
| #35680 | 2 |
| #35528 | 2 |
| #35527 | 2 |