Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
169518 conjugacy classes of subgroups; only the 546 normal subgroups are shown.
This group has 169518 conjugacy classes of subgroups — too many to draw. Only its 546 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 | H(5,𝔽2)2 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Sylow |
| 2 | C2×C22⋊#997 | — | 4 | 6 | no | maximal |
| 3 | #11710846 | — | 4 | 12 | no | maximal |
| 4 | #11710785 | — | 4 | 4 | no | maximal |
| 5 | #11710758 | — | 4 | 36 | no | maximal |
| 6 | #11710730 | — | 4 | 27 | no | maximal |
| 7 | #10586554 | — | 3 | 12 | no | — |
| 8 | #10586474 | — | 3 | 36 | no | — |
| 9 | #10586472 | — | 3 | 27 | no | — |
| 10 | #41×H(5,𝔽2) | — | 3 | 4 | no | — |
| 11 | C2×D4×H(5,𝔽2) | — | 3 | 6 | no | — |
| 12 | C22⋊#997 | — | 4 | 6 | no | — |
| 13 | C23×H(5,𝔽2) | — | 3 | 2 | no | — |
| 14 | C23×H(5,𝔽2) | A4 | 1 | 6 | yes | complemented |
| 15 | #63040 | — | 3 | 4 | no | — |
| 16 | #63040 | A4 | 1 | 12 | yes | complemented |
| 17 | #63014 | — | 3 | 72 | no | — |
| 18 | #63014 | — | 3 | 72 | no | — |
| 19 | #63012 | — | 3 | 216 | no | — |
| 20 | #63012 | — | 3 | 216 | no | — |
| 21 | #63011 | — | 3 | 108 | no | — |
| 22 | #63011 | — | 3 | 108 | no | — |
| 23 | #62986 | — | 3 | 24 | no | — |
| 24 | #62985 | — | 3 | 72 | no | — |
| 25 | #62984 | — | 3 | 36 | no | — |
| 26 | #62983 | — | 3 | 108 | no | — |
| 27 | Q8×H(5,𝔽2) | A4 | 1 | 4 | yes | complemented |
| 28 | D4×H(5,𝔽2) | — | 3 | 216 | no | — |
| 29 | D4×H(5,𝔽2) | — | 3 | 144 | no | — |
| 30 | D4×H(5,𝔽2) | — | 3 | 12 | no | — |
| 31 | #62916 | — | 3 | 72 | no | — |
| 32 | #62914 | — | 3 | 216 | no | — |
| 33 | #62912 | — | 3 | 432 | no | — |
| 34 | #62895 | — | 3 | 24 | no | — |
| 35 | #62895 | — | 3 | 12 | no | — |
| 36 | #62895 | A4 | 1 | 36 | yes | complemented |
| 37 | #62892 | — | 3 | 216 | no | — |
| 38 | #62892 | — | 3 | 108 | no | — |
| 39 | #62892 | — | 3 | 108 | no | — |
| 40 | #62834 | — | 3 | 108 | no | — |
| 41 | #62832 | — | 3 | 54 | no | — |
| 42 | #62818 | — | 3 | 108 | no | — |
| 43 | #62818 | — | 3 | 108 | no | — |
| 44 | #62817 | — | 3 | 36 | no | — |
| 45 | #62817 | — | 3 | 18 | no | — |
| 46 | #62817 | — | 3 | 9 | no | — |
| 47 | #62817 | A4 | 1 | 27 | yes | complemented |
| 48 | #62800 | — | 3 | 72 | no | — |
| 49 | C2×#3498 | — | 3 | 36 | no | — |
| 50 | C2×#3488 | — | 3 | 36 | no | — |
| 51 | C2×#3488 | — | 3 | 36 | no | — |
| 52 | #62773 | — | 3 | 108 | no | — |
| 53 | C2×#3496 | — | 3 | 54 | no | — |
| 54 | C2×#3484 | — | 3 | 54 | no | — |
| 55 | C2×#3484 | — | 3 | 54 | no | — |
| 56 | #412 | — | 3 | 12 | no | — |
| 57 | C2×D4×#41 | — | 3 | 36 | no | — |
| 58 | C22×D42 | — | 3 | 27 | no | — |
| 59 | C2×C4×H(5,𝔽2) | — | 3 | 6 | no | — |
| 60 | C22×C22⋊A4 | — | 16 | 9 | no | — |
| 61 | C2×#997 | — | 16 | 2 | no | — |
| 62 | C2×#997 | — | 16 | 18 | no | — |
| 63 | C2×#997 | — | 16 | 54 | no | — |
| 64 | C2×#997 | — | 16 | 36 | no | — |
| 65 | C2×C22⋊SL(2,𝔽3) | — | 16 | 12 | no | — |
| 66 | #5465 | — | 16 | 108 | no | — |
| 67 | Q8⋊SL(2,𝔽3) | — | 16 | 24 | no | — |
| 68 | Q8⋊SL(2,𝔽3) | — | 16 | 4 | no | — |
| 69 | #543⋊C3 | — | 16 | 36 | no | — |
| 70 | #543⋊C3 | — | 16 | 54 | no | — |
| 71 | C22×H(5,𝔽2) | — | 3 | 54 | no | — |
| 72 | C22×H(5,𝔽2) | — | 3 | 36 | no | — |
| 73 | C22×H(5,𝔽2) | — | 3 | 6 | no | — |
| 74 | C22×H(5,𝔽2) | — | 3 | 54 | no | — |
| 75 | C22×H(5,𝔽2) | — | 3 | 36 | no | — |
| 76 | C22×H(5,𝔽2) | — | 4 | 6 | no | — |
| 77 | C22×H(5,𝔽2) | — | 12 | 12 | no | — |
| 78 | C22×H(5,𝔽2) | — | 12 | 18 | no | — |
| 79 | C22×H(5,𝔽2) | — | 12 | 2 | no | — |
| 80 | C22×H(5,𝔽2) | — | 12 | 12 | no | — |
| 81 | C22×H(5,𝔽2) | — | 12 | 18 | no | — |
| 82 | C23×#41 | — | 3 | 12 | no | — |
| 83 | C23×#41 | — | 3 | 12 | no | — |
| 84 | C24×D4 | — | 3 | 18 | no | — |
| 85 | C24×D4 | — | 3 | 18 | no | — |
| 86 | #3558 | — | 3 | 216 | no | — |
| 87 | #3558 | — | 3 | 216 | no | — |
| 88 | #3558 | — | 3 | 216 | no | — |
| 89 | #3558 | — | 3 | 216 | no | — |
| 90 | #3549 | — | 3 | 108 | no | — |
| 91 | #3549 | — | 3 | 108 | no | — |
| 92 | #3548 | — | 3 | 216 | no | — |
| 93 | #3546 | — | 3 | 432 | no | — |
| 94 | #3546 | — | 3 | 432 | no | — |
| 95 | #3543 | — | 3 | 216 | no | — |
| 96 | #3543 | — | 3 | 216 | no | — |
| 97 | #3543 | — | 3 | 432 | no | — |
| 98 | #3543 | — | 3 | 432 | no | — |
| 99 | #3542 | — | 3 | 432 | no | — |
| 100 | #3542 | — | 3 | 432 | no | — |
| 101 | #3542 | — | 3 | 432 | no | — |
| 102 | #3542 | — | 3 | 432 | no | — |
| 103 | #3537 | — | 3 | 432 | no | — |
| 104 | #3537 | — | 3 | 216 | no | — |
| 105 | #3537 | — | 3 | 216 | no | — |
| 106 | #3537 | — | 3 | 216 | no | — |
| 107 | #3537 | — | 3 | 216 | no | — |
| 108 | #3536 | — | 3 | 432 | no | — |
| 109 | #3536 | — | 3 | 216 | no | — |
| 110 | #3536 | — | 3 | 216 | no | — |
| 111 | #3534 | — | 3 | 432 | no | — |
| 112 | #3534 | — | 3 | 432 | no | — |
| 113 | #3534 | — | 3 | 432 | no | — |
| 114 | #3534 | — | 3 | 432 | no | — |
| 115 | #3532 | — | 3 | 432 | no | — |
| 116 | #3532 | — | 3 | 216 | no | — |
| 117 | #3532 | — | 3 | 432 | no | — |
| 118 | #3532 | — | 3 | 216 | no | — |
| 119 | #3532 | — | 3 | 216 | no | — |
| 120 | #3532 | — | 3 | 216 | no | — |
| 121 | #3522 | — | 3 | 72 | no | — |
| 122 | #3522 | — | 3 | 72 | no | — |
| 123 | #3520 | — | 3 | 432 | no | — |
| 124 | #3519 | — | 3 | 216 | no | — |
| 125 | #3519 | — | 3 | 216 | no | — |
| 126 | #3519 | — | 3 | 432 | no | — |
| 127 | #3519 | — | 3 | 432 | no | — |
| 128 | #3519 | — | 3 | 432 | no | — |
| 129 | #3517 | — | 3 | 144 | no | — |
| 130 | #3514 | — | 3 | 432 | no | — |
| 131 | #3513 | — | 3 | 432 | no | — |
| 132 | #3513 | — | 3 | 432 | no | — |
| 133 | #3511 | — | 3 | 216 | no | — |
| 134 | #3508 | — | 3 | 216 | no | — |
| 135 | #3508 | — | 3 | 108 | no | — |
| 136 | #3508 | — | 3 | 108 | no | — |
| 137 | #3506 | — | 3 | 216 | no | — |
| 138 | #3505 | — | 3 | 216 | no | — |
| 139 | #3505 | — | 3 | 216 | no | — |
| 140 | #3503 | — | 3 | 24 | no | — |
| 141 | #3501 | — | 3 | 36 | no | — |
| 142 | #3498 | — | 3 | 72 | no | — |
| 143 | #3498 | — | 3 | 216 | no | — |
| 144 | #3498 | — | 3 | 216 | no | — |
| 145 | #3498 | — | 3 | 72 | no | — |
| 146 | #3498 | — | 3 | 432 | no | — |
| 147 | #3498 | — | 3 | 36 | no | — |
| 148 | #3498 | — | 3 | 72 | no | — |
| 149 | #3498 | — | 3 | 36 | no | — |
| 150 | #3496 | — | 3 | 108 | no | — |
| 151 | #3496 | — | 3 | 432 | no | — |
| 152 | #3496 | — | 3 | 432 | no | — |
| 153 | #3496 | — | 3 | 216 | no | — |
| 154 | #3496 | — | 3 | 108 | no | — |
| 155 | #3496 | — | 3 | 216 | no | — |
| 156 | #3496 | — | 3 | 108 | no | — |
| 157 | #3494 | — | 3 | 432 | no | — |
| 158 | #3492 | — | 3 | 216 | no | — |
| 159 | #3490 | — | 3 | 216 | no | — |
| 160 | #3490 | — | 3 | 108 | no | — |
| 161 | #3490 | — | 3 | 216 | no | — |
| 162 | #3490 | — | 3 | 108 | no | — |
| 163 | #3490 | — | 3 | 54 | no | — |
| 164 | #3490 | — | 3 | 108 | no | — |
| 165 | #3490 | — | 3 | 54 | no | — |
| 166 | #3488 | — | 3 | 144 | no | — |
| 167 | #3488 | — | 3 | 432 | no | — |
| 168 | #3488 | — | 3 | 216 | no | — |
| 169 | #3488 | — | 3 | 216 | no | — |
| 170 | #3488 | — | 3 | 144 | no | — |
| 171 | #3488 | — | 3 | 72 | no | — |
| 172 | #3488 | — | 3 | 432 | no | — |
| 173 | #3488 | — | 3 | 432 | no | — |
| 174 | #3488 | — | 3 | 72 | no | — |
| 175 | #3484 | — | 3 | 216 | no | — |
| 176 | #3484 | — | 3 | 432 | no | — |
| 177 | #3484 | — | 3 | 432 | no | — |
| 178 | #3484 | — | 3 | 432 | no | — |
| 179 | #3484 | — | 3 | 432 | no | — |
| 180 | #3484 | — | 3 | 216 | no | — |
| 181 | #3484 | — | 3 | 216 | no | — |
| 182 | #3484 | — | 3 | 216 | no | — |
| 183 | #3484 | — | 3 | 108 | no | — |
| 184 | #3484 | — | 3 | 216 | no | — |
| 185 | #3484 | — | 3 | 216 | no | — |
| 186 | #3484 | — | 3 | 108 | no | — |
| 187 | #3484 | — | 3 | 54 | no | — |
| 188 | #3484 | — | 3 | 108 | no | — |
| 189 | #3484 | — | 3 | 54 | no | — |
| 190 | #3483 | — | 3 | 24 | no | — |
| 191 | #3483 | — | 3 | 12 | no | — |
| 192 | #3483 | — | 3 | 24 | no | — |
| 193 | #3482 | — | 3 | 72 | no | — |
| 194 | #3481 | — | 3 | 108 | no | — |
| 195 | #3481 | — | 3 | 216 | no | — |
| 196 | #3481 | — | 3 | 216 | no | — |
| 197 | #3480 | — | 3 | 72 | no | — |
| 198 | Q8×#41 | — | 3 | 8 | no | — |
| 199 | #3475 | — | 3 | 216 | no | — |
| 200 | D4×#41 | — | 3 | 72 | no | — |
| 201 | D4×#41 | — | 3 | 432 | no | — |
| 202 | D4×#41 | — | 3 | 144 | no | — |
| 203 | D4×#41 | — | 3 | 432 | no | — |
| 204 | C2×#550 | — | 3 | 36 | no | — |
| 205 | C2×#550 | — | 3 | 72 | no | — |
| 206 | C2×D4×Q8 | — | 3 | 12 | no | — |
| 207 | C2×#548 | — | 3 | 36 | no | — |
| 208 | C2×#548 | — | 3 | 36 | no | — |
| 209 | C2×#547 | — | 3 | 108 | no | — |
| 210 | C2×#546 | — | 3 | 108 | no | — |
| 211 | C2×#546 | — | 3 | 108 | no | — |
| 212 | C2×#546 | — | 3 | 216 | no | — |
| 213 | C2×#546 | — | 3 | 216 | no | — |
| 214 | C2×D42 | — | 3 | 216 | no | — |
| 215 | C2×D42 | — | 3 | 216 | no | — |
| 216 | C2×D42 | — | 3 | 108 | no | — |
| 217 | C2×D42 | — | 3 | 216 | no | — |
| 218 | C2×D42 | — | 3 | 216 | no | — |
| 219 | C2×D42 | — | 3 | 216 | no | — |
| 220 | C2×D42 | — | 3 | 216 | no | — |
| 221 | #3460 | — | 3 | 216 | no | — |
| 222 | #3459 | — | 3 | 72 | no | — |
| 223 | #3459 | — | 3 | 36 | no | — |
| 224 | #3459 | — | 3 | 36 | no | — |
| 225 | C2×#537 | — | 3 | 108 | no | — |
| 226 | C2×#535 | — | 3 | 108 | no | — |
| 227 | C2×#535 | — | 3 | 108 | no | — |
| 228 | C2×#534 | — | 3 | 108 | no | — |
| 229 | C2×#534 | — | 3 | 108 | no | — |
| 230 | #3444 | — | 3 | 108 | no | — |
| 231 | C2×#532 | — | 3 | 108 | no | — |
| 232 | C22×#127 | — | 3 | 27 | no | — |
| 233 | C2×#525 | — | 3 | 108 | no | — |
| 234 | C2×#525 | — | 3 | 108 | no | — |
| 235 | C22×#121 | — | 3 | 54 | no | — |
| 236 | C22×#121 | — | 3 | 54 | no | — |
| 237 | C22×#120 | — | 3 | 27 | no | — |
| 238 | C22×#120 | — | 3 | 54 | no | — |
| 239 | C22×#120 | — | 3 | 27 | no | — |
| 240 | C4×H(5,𝔽2) | — | 3 | 108 | no | — |
| 241 | C4×H(5,𝔽2) | — | 3 | 72 | no | — |
| 242 | C4×H(5,𝔽2) | — | 3 | 4 | no | — |
| 243 | C2×#520 | — | 3 | 36 | no | — |
| 244 | C2×#518 | — | 3 | 54 | no | — |
| 245 | C2×C4×#41 | — | 3 | 36 | no | — |
| 246 | C22×C4×D4 | — | 3 | 54 | no | — |
| 247 | C2×C22⋊A4 | — | 16 | 18 | no | — |
| 248 | C2×C22⋊A4 | — | 16 | 9 | no | — |
| 249 | #997 | — | 16 | 54 | no | — |
| 250 | #997 | — | 16 | 36 | no | — |
| 251 | #997 | — | 16 | 18 | no | — |
| 252 | #997 | — | 16 | 2 | no | — |
| 253 | C22⋊SL(2,𝔽3) | — | 16 | 12 | no | — |
| 254 | C26 | — | 3 | 3 | no | — |
| 255 | C26 | — | 3 | 6 | no | — |
| 256 | C26 | C22⋊A4 | 1 | 9 | yes | complemented |
| 257 | C2×H(5,𝔽2) | — | 3 | 54 | no | — |
| 258 | C2×H(5,𝔽2) | — | 3 | 36 | no | — |
| 259 | C2×H(5,𝔽2) | — | 3 | 36 | no | — |
| 260 | C2×H(5,𝔽2) | — | 3 | 36 | no | — |
| 261 | C2×H(5,𝔽2) | — | 3 | 36 | no | — |
| 262 | C2×H(5,𝔽2) | — | 3 | 18 | no | — |
| 263 | C2×H(5,𝔽2) | — | 3 | 216 | no | — |
| 264 | C2×H(5,𝔽2) | — | 3 | 108 | no | — |
| 265 | C2×H(5,𝔽2) | — | 3 | 108 | no | — |
| 266 | C2×H(5,𝔽2) | — | 3 | 108 | no | — |
| 267 | C2×H(5,𝔽2) | — | 3 | 108 | no | — |
| 268 | C2×H(5,𝔽2) | — | 3 | 24 | no | — |
| 269 | C2×H(5,𝔽2) | — | 3 | 12 | no | — |
| 270 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 271 | C2×H(5,𝔽2) | — | 3 | 12 | no | — |
| 272 | C2×H(5,𝔽2) | — | 6 | 36 | no | — |
| 273 | C2×H(5,𝔽2) | — | 6 | 54 | no | — |
| 274 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 275 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 276 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 277 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 278 | C2×H(5,𝔽2) | — | 12 | 216 | no | — |
| 279 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 280 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 281 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 282 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 283 | C2×H(5,𝔽2) | — | 12 | 216 | no | — |
| 284 | C2×H(5,𝔽2) | — | 12 | 54 | no | — |
| 285 | C2×H(5,𝔽2) | — | 12 | 36 | no | — |
| 286 | C2×H(5,𝔽2) | — | 12 | 36 | no | — |
| 287 | C2×H(5,𝔽2) | — | 12 | 108 | no | — |
| 288 | C2×H(5,𝔽2) | — | 12 | 108 | no | — |
| 289 | C2×H(5,𝔽2) | — | 12 | 36 | no | — |
| 290 | C2×H(5,𝔽2) | — | 12 | 36 | no | — |
| 291 | C2×H(5,𝔽2) | — | 12 | 108 | no | — |
| 292 | C2×H(5,𝔽2) | — | 12 | 108 | no | — |
| 293 | C2×H(5,𝔽2) | C22⋊A4 | 1 | 2 | yes | — |
| 294 | C2×H(5,𝔽2) | C22⋊A4 | 1 | 54 | yes | complemented |
| 295 | C2×H(5,𝔽2) | C22⋊A4 | 1 | 36 | yes | complemented |
| 296 | C2×H(5,𝔽2) | C22⋊A4 | 1 | 18 | yes | complemented |
| 297 | C22×#41 | — | 3 | 36 | no | — |
| 298 | C22×#41 | — | 3 | 108 | no | — |
| 299 | C22×#41 | — | 3 | 108 | no | — |
| 300 | C22×#41 | — | 3 | 108 | no | — |
| 301 | C22×#41 | — | 3 | 108 | no | — |
| 302 | C22×#41 | — | 3 | 36 | no | — |
| 303 | C22×#41 | — | 3 | 36 | no | — |
| 304 | C22×#41 | — | 12 | 12 | no | — |
| 305 | C22×#41 | — | 12 | 12 | no | — |
| 306 | C22×#41 | — | 12 | 36 | no | — |
| 307 | C22×#41 | — | 12 | 36 | no | — |
| 308 | C22×#41 | — | 12 | 12 | no | — |
| 309 | C22×#41 | — | 12 | 12 | no | — |
| 310 | C22×#41 | — | 12 | 36 | no | — |
| 311 | C22×#41 | — | 12 | 36 | no | — |
| 312 | C23×Q8 | — | 3 | 4 | no | — |
| 313 | C23×Q8 | C22⋊A4 | 1 | 12 | yes | complemented |
| 314 | C23×D4 | — | 3 | 54 | no | — |
| 315 | C23×D4 | — | 3 | 36 | no | — |
| 316 | C23×D4 | — | 3 | 36 | no | — |
| 317 | C23×D4 | — | 3 | 54 | no | — |
| 318 | C23×D4 | — | 3 | 54 | no | — |
| 319 | C23×D4 | — | 3 | 54 | no | — |
| 320 | C23×D4 | — | 3 | 54 | no | — |
| 321 | C23×D4 | — | 3 | 54 | no | — |
| 322 | C23×D4 | — | 3 | 54 | no | — |
| 323 | C23×D4 | — | 3 | 216 | no | — |
| 324 | C23×D4 | — | 3 | 216 | no | — |
| 325 | C23×D4 | — | 3 | 27 | no | — |
| 326 | C23×D4 | — | 3 | 27 | no | — |
| 327 | C23×D4 | — | 12 | 18 | no | — |
| 328 | C23×D4 | — | 12 | 18 | no | — |
| 329 | C23×D4 | — | 12 | 18 | no | — |
| 330 | C23×D4 | — | 12 | 72 | no | — |
| 331 | C23×D4 | — | 12 | 18 | no | — |
| 332 | C23×D4 | — | 12 | 18 | no | — |
| 333 | C23×D4 | — | 12 | 18 | no | — |
| 334 | C23×D4 | — | 12 | 18 | no | — |
| 335 | C23×D4 | — | 12 | 72 | no | — |
| 336 | C23×D4 | — | 12 | 18 | no | — |
| 337 | C24×C4 | — | 3 | 18 | no | — |
| 338 | C24×C4 | — | 3 | 18 | no | — |
| 339 | #562 | — | 3 | 216 | no | — |
| 340 | #562 | — | 3 | 216 | no | — |
| 341 | #562 | — | 3 | 216 | no | — |
| 342 | #562 | — | 3 | 216 | no | — |
| 343 | H(3,𝔽4) | — | 3 | 36 | no | — |
| 344 | H(3,𝔽4) | — | 3 | 36 | no | — |
| 345 | H(3,𝔽4) | — | 3 | 72 | no | — |
| 346 | H(3,𝔽4) | — | 3 | 36 | no | — |
| 347 | H(3,𝔽4) | — | 3 | 72 | no | — |
| 348 | H(3,𝔽4) | C22⋊A4 | 1 | 108 | yes | complemented |
| 349 | #560 | — | 3 | 432 | no | — |
| 350 | #560 | — | 3 | 432 | no | — |
| 351 | #560 | — | 3 | 216 | no | — |
| 352 | #560 | — | 3 | 216 | no | — |
| 353 | #560 | — | 3 | 216 | no | — |
| 354 | #560 | — | 3 | 216 | no | — |
| 355 | #559 | — | 3 | 108 | no | — |
| 356 | #559 | — | 3 | 216 | no | — |
| 357 | #559 | — | 3 | 216 | no | — |
| 358 | Q82 | — | 3 | 8 | no | — |
| 359 | Q82 | C22⋊A4 | 1 | 4 | yes | complemented |
| 360 | Q82 | C22⋊A4 | 1 | 24 | yes | complemented |
| 361 | #557 | — | 3 | 24 | no | — |
| 362 | #556 | — | 3 | 216 | no | — |
| 363 | #555 | — | 3 | 108 | no | — |
| 364 | #555 | — | 3 | 216 | no | — |
| 365 | #555 | — | 3 | 216 | no | — |
| 366 | #554 | — | 3 | 72 | no | — |
| 367 | #554 | — | 3 | 72 | no | — |
| 368 | #554 | — | 3 | 72 | no | — |
| 369 | #554 | — | 3 | 216 | no | — |
| 370 | #554 | — | 3 | 216 | no | — |
| 371 | #553 | — | 3 | 432 | no | — |
| 372 | #553 | — | 3 | 432 | no | — |
| 373 | #553 | — | 3 | 432 | no | — |
| 374 | #553 | — | 3 | 432 | no | — |
| 375 | #553 | — | 3 | 432 | no | — |
| 376 | #552 | — | 3 | 432 | no | — |
| 377 | #551 | — | 3 | 216 | no | — |
| 378 | #551 | — | 3 | 216 | no | — |
| 379 | #551 | — | 3 | 432 | no | — |
| 380 | #551 | — | 3 | 432 | no | — |
| 381 | #551 | — | 3 | 432 | no | — |
| 382 | #551 | — | 3 | 432 | no | — |
| 383 | #550 | — | 3 | 72 | no | — |
| 384 | #550 | — | 3 | 72 | no | — |
| 385 | #550 | — | 3 | 72 | no | — |
| 386 | #550 | — | 3 | 432 | no | — |
| 387 | #550 | — | 3 | 432 | no | — |
| 388 | #550 | — | 3 | 432 | no | — |
| 389 | #550 | — | 3 | 72 | no | — |
| 390 | #550 | — | 3 | 72 | no | — |
| 391 | D4×Q8 | — | 3 | 24 | no | — |
| 392 | D4×Q8 | — | 3 | 144 | no | — |
| 393 | #548 | — | 3 | 144 | no | — |
| 394 | #548 | — | 3 | 432 | no | — |
| 395 | #548 | — | 3 | 432 | no | — |
| 396 | #547 | — | 3 | 216 | no | — |
| 397 | #547 | — | 3 | 432 | no | — |
| 398 | #547 | — | 3 | 432 | no | — |
| 399 | #547 | — | 3 | 432 | no | — |
| 400 | #546 | — | 3 | 432 | no | — |
| 401 | #546 | — | 3 | 432 | no | — |
| 402 | #546 | — | 3 | 432 | no | — |
| 403 | #546 | — | 3 | 432 | no | — |
| 404 | #546 | — | 3 | 432 | no | — |
| 405 | #546 | — | 3 | 432 | no | — |
| 406 | #546 | — | 3 | 432 | no | — |
| 407 | #546 | — | 3 | 432 | no | — |
| 408 | #546 | — | 3 | 432 | no | — |
| 409 | #546 | — | 3 | 432 | no | — |
| 410 | #546 | — | 3 | 432 | no | — |
| 411 | #546 | — | 3 | 432 | no | — |
| 412 | #546 | — | 3 | 432 | no | — |
| 413 | #546 | — | 3 | 432 | no | — |
| 414 | #546 | — | 3 | 432 | no | — |
| 415 | #546 | — | 3 | 432 | no | — |
| 416 | #546 | — | 3 | 432 | no | — |
| 417 | #546 | — | 3 | 432 | no | — |
| 418 | #546 | — | 3 | 432 | no | — |
| 419 | #546 | — | 3 | 432 | no | — |
| 420 | #546 | — | 3 | 432 | no | — |
| 421 | #546 | — | 3 | 432 | no | — |
| 422 | #546 | — | 3 | 432 | no | — |
| 423 | D42 | — | 3 | 108 | no | — |
| 424 | D42 | — | 3 | 432 | no | — |
| 425 | D42 | — | 3 | 432 | no | — |
| 426 | D42 | — | 3 | 432 | no | — |
| 427 | D42 | — | 3 | 216 | no | — |
| 428 | D42 | — | 3 | 216 | no | — |
| 429 | D42 | — | 3 | 432 | no | — |
| 430 | D42 | — | 3 | 432 | no | — |
| 431 | D42 | — | 3 | 216 | no | — |
| 432 | D42 | — | 3 | 216 | no | — |
| 433 | D42 | — | 3 | 432 | no | — |
| 434 | D42 | — | 3 | 432 | no | — |
| 435 | D42 | — | 3 | 432 | no | — |
| 436 | D42 | — | 3 | 432 | no | — |
| 437 | D42 | — | 3 | 216 | no | — |
| 438 | D42 | — | 3 | 216 | no | — |
| 439 | D42 | — | 3 | 216 | no | — |
| 440 | D42 | — | 3 | 216 | no | — |
| 441 | D42 | — | 3 | 432 | no | — |
| 442 | D42 | — | 3 | 432 | no | — |
| 443 | D42 | — | 3 | 432 | no | — |
| 444 | D42 | — | 3 | 432 | no | — |
| 445 | D42 | — | 3 | 432 | no | — |
| 446 | D42 | — | 3 | 432 | no | — |
| 447 | #544 | — | 3 | 72 | no | — |
| 448 | #543 | — | 3 | 24 | no | — |
| 449 | #543 | — | 3 | 12 | no | — |
| 450 | #543 | — | 3 | 18 | no | — |
| 451 | #543 | — | 3 | 36 | no | — |
| 452 | #543 | — | 3 | 72 | no | — |
| 453 | #543 | C22⋊A4 | 1 | 36 | yes | complemented |
| 454 | #543 | C22⋊A4 | 1 | 54 | yes | complemented |
| 455 | #542 | — | 3 | 432 | no | — |
| 456 | #542 | — | 3 | 432 | no | — |
| 457 | #540 | — | 3 | 432 | no | — |
| 458 | #540 | — | 3 | 432 | no | — |
| 459 | #540 | — | 3 | 432 | no | — |
| 460 | #540 | — | 3 | 432 | no | — |
| 461 | #539 | — | 3 | 216 | no | — |
| 462 | #539 | — | 3 | 432 | no | — |
| 463 | #539 | — | 3 | 216 | no | — |
| 464 | #538 | — | 3 | 216 | no | — |
| 465 | #538 | — | 3 | 216 | no | — |
| 466 | #538 | — | 3 | 216 | no | — |
| 467 | #538 | — | 3 | 216 | no | — |
| 468 | #538 | — | 3 | 432 | no | — |
| 469 | #538 | — | 3 | 216 | no | — |
| 470 | #538 | — | 3 | 216 | no | — |
| 471 | #538 | — | 3 | 432 | no | — |
| 472 | #538 | — | 3 | 216 | no | — |
| 473 | #538 | — | 3 | 432 | no | — |
| 474 | #538 | — | 3 | 216 | no | — |
| 475 | #538 | — | 3 | 216 | no | — |
| 476 | #538 | — | 3 | 216 | no | — |
| 477 | #537 | — | 3 | 216 | no | — |
| 478 | #537 | — | 3 | 216 | no | — |
| 479 | #537 | — | 3 | 216 | no | — |
| 480 | #537 | — | 3 | 216 | no | — |
| 481 | #537 | — | 3 | 432 | no | — |
| 482 | #537 | — | 3 | 216 | no | — |
| 483 | #535 | — | 3 | 432 | no | — |
| 484 | #535 | — | 3 | 432 | no | — |
| 485 | #535 | — | 3 | 216 | no | — |
| 486 | #535 | — | 3 | 216 | no | — |
| 487 | #535 | — | 3 | 216 | no | — |
| 488 | #535 | — | 3 | 216 | no | — |
| 489 | #535 | — | 3 | 216 | no | — |
| 490 | #535 | — | 3 | 216 | no | — |
| 491 | #535 | — | 3 | 216 | no | — |
| 492 | #535 | — | 3 | 432 | no | — |
| 493 | #535 | — | 3 | 216 | no | — |
| 494 | #535 | — | 3 | 108 | no | — |
| 495 | #535 | — | 3 | 108 | no | — |
| 496 | #535 | — | 3 | 108 | no | — |
| 497 | #535 | — | 3 | 108 | no | — |
| 498 | #534 | — | 3 | 216 | no | — |
| 499 | #534 | — | 3 | 108 | no | — |
| 500 | #534 | — | 3 | 108 | no | — |
| 501 | #534 | — | 3 | 432 | no | — |
| 502 | #534 | — | 3 | 216 | no | — |
| 503 | #534 | — | 3 | 216 | no | — |
| 504 | #534 | — | 3 | 432 | no | — |
| 505 | #534 | — | 3 | 216 | no | — |
| 506 | #534 | — | 3 | 216 | no | — |
| 507 | #534 | — | 3 | 216 | no | — |
| 508 | #534 | — | 3 | 432 | no | — |
| 509 | #534 | — | 3 | 216 | no | — |
| 510 | #534 | — | 3 | 54 | no | — |
| 511 | #534 | — | 3 | 216 | no | — |
| 512 | #534 | — | 3 | 108 | no | — |
| 513 | #534 | — | 3 | 54 | no | — |
| 514 | #533 | — | 3 | 72 | no | — |
| 515 | #533 | — | 3 | 108 | no | — |
| 516 | #532 | — | 3 | 216 | no | — |
| 517 | #532 | — | 3 | 216 | no | — |
| 518 | #532 | — | 3 | 216 | no | — |
| 519 | #532 | — | 3 | 216 | no | — |
| 520 | #532 | — | 3 | 216 | no | — |
| 521 | #532 | — | 3 | 432 | no | — |
| 522 | #532 | — | 3 | 108 | no | — |
| 523 | C2×C4⋊Q8 | — | 3 | 36 | no | — |
| 524 | C2×#127 | — | 3 | 108 | no | — |
| 525 | C2×#127 | — | 3 | 216 | no | — |
| 526 | C2×#127 | — | 3 | 108 | no | — |
| 527 | C2×#127 | — | 3 | 108 | no | — |
| 528 | #529 | — | 3 | 216 | no | — |
| 529 | #529 | — | 3 | 216 | no | — |
| 530 | #529 | — | 3 | 432 | no | — |
| 531 | #529 | — | 3 | 432 | no | — |
| 532 | C2×#124 | — | 3 | 108 | no | — |
| 533 | C2×#124 | — | 3 | 108 | no | — |
| 534 | #525 | — | 3 | 432 | no | — |
| 535 | #525 | — | 3 | 216 | no | — |
| 536 | #525 | — | 3 | 432 | no | — |
| 537 | #525 | — | 3 | 216 | no | — |
| 538 | #525 | — | 3 | 432 | no | — |
| 539 | #525 | — | 3 | 216 | no | — |
| 540 | #525 | — | 3 | 216 | no | — |
| 541 | #525 | — | 3 | 432 | no | — |
| 542 | #525 | — | 3 | 432 | no | — |
| 543 | #525 | — | 3 | 108 | no | — |
| 544 | #525 | — | 3 | 108 | no | — |
| 545 | C2×#123 | — | 3 | 216 | no | — |
| 546 | C2×#123 | — | 3 | 216 | no | — |
| 547 | C2×C22⋊Q8 | — | 3 | 36 | no | — |
| 548 | C2×C22⋊Q8 | — | 3 | 36 | no | — |
| 549 | C2×C22⋊Q8 | — | 3 | 108 | no | — |
| 550 | C2×C22⋊Q8 | — | 3 | 108 | no | — |
| 551 | C2×#121 | — | 3 | 108 | no | — |
| 552 | C2×#121 | — | 3 | 108 | no | — |
| 553 | C2×#121 | — | 3 | 216 | no | — |
| 554 | C2×#121 | — | 3 | 216 | no | — |
| 555 | C2×#121 | — | 3 | 216 | no | — |
| 556 | C2×#121 | — | 3 | 216 | no | — |
| 557 | C2×#121 | — | 3 | 216 | no | — |
| 558 | C2×#121 | — | 3 | 216 | no | — |
| 559 | C2×#121 | — | 3 | 432 | no | — |
| 560 | C2×#121 | — | 3 | 216 | no | — |
| 561 | C2×#121 | — | 3 | 108 | no | — |
| 562 | C2×#121 | — | 3 | 108 | no | — |
| 563 | C2×#121 | — | 3 | 216 | no | — |
| 564 | C2×#120 | — | 3 | 216 | no | — |
| 565 | C2×#120 | — | 3 | 216 | no | — |
| 566 | C2×#120 | — | 3 | 216 | no | — |
| 567 | C2×#120 | — | 3 | 216 | no | — |
| 568 | C2×#120 | — | 3 | 216 | no | — |
| 569 | C2×#120 | — | 3 | 216 | no | — |
| 570 | C2×#120 | — | 3 | 108 | no | — |
| 571 | C2×#120 | — | 3 | 432 | no | — |
| 572 | C2×#120 | — | 3 | 108 | no | — |
| 573 | C2×#120 | — | 3 | 108 | no | — |
| 574 | C2×#120 | — | 3 | 108 | no | — |
| 575 | #520 | — | 3 | 24 | no | — |
| 576 | #520 | — | 3 | 216 | no | — |
| 577 | #520 | — | 3 | 216 | no | — |
| 578 | #520 | — | 3 | 72 | no | — |
| 579 | #518 | — | 3 | 36 | no | — |
| 580 | #518 | — | 3 | 108 | no | — |
| 581 | #518 | — | 3 | 108 | no | — |
| 582 | #518 | — | 3 | 108 | no | — |
| 583 | #518 | — | 3 | 432 | no | — |
| 584 | #518 | — | 3 | 54 | no | — |
| 585 | #518 | — | 3 | 108 | no | — |
| 586 | #518 | — | 3 | 54 | no | — |
| 587 | C4×#41 | — | 3 | 24 | no | — |
| 588 | C4×#41 | — | 3 | 216 | no | — |
| 589 | C4×#41 | — | 3 | 216 | no | — |
| 590 | C4×#41 | — | 3 | 72 | no | — |
| 591 | C4×#41 | — | 3 | 36 | no | — |
| 592 | C4×#41 | — | 3 | 36 | no | — |
| 593 | C2×C4×Q8 | — | 3 | 12 | no | — |
| 594 | C2×C4×Q8 | — | 3 | 36 | no | — |
| 595 | C2×C4×D4 | — | 3 | 36 | no | — |
| 596 | C2×C4×D4 | — | 3 | 108 | no | — |
| 597 | C2×C4×D4 | — | 3 | 216 | no | — |
| 598 | C2×C4×D4 | — | 3 | 108 | no | — |
| 599 | C2×C4×D4 | — | 3 | 108 | no | — |
| 600 | C2×C4×D4 | — | 3 | 108 | no | — |
| 601 | C2×C4×D4 | — | 3 | 432 | no | — |
| 602 | C2×C4×D4 | — | 3 | 108 | no | — |
| 603 | C2×C4×D4 | — | 3 | 216 | no | — |
| 604 | C2×#117 | — | 3 | 108 | no | — |
| 605 | C22×C4⋊C4 | — | 3 | 54 | no | — |
| 606 | C22×C22⋊C4 | — | 3 | 54 | no | — |
| 607 | C22×C22⋊C4 | — | 3 | 54 | no | — |
| 608 | C22×C22⋊C4 | — | 3 | 27 | no | — |
| 609 | C22×C22⋊C4 | — | 3 | 54 | no | — |
| 610 | C22×C22⋊C4 | — | 3 | 27 | no | — |
| 611 | C22×C42 | — | 3 | 27 | no | — |
| 612 | C22⋊A4 | — | 16 | 9 | no | — |
| 613 | C22×A4 | — | 64 | 6 | no | — |
| 614 | C22×A4 | — | 64 | 27 | no | — |
| 615 | C2×SL(2,𝔽3) | — | 64 | 4 | no | — |
| 616 | C2×SL(2,𝔽3) | — | 64 | 36 | no | — |
| 617 | C2×SL(2,𝔽3) | — | 64 | 12 | no | — |
| 618 | C25 | — | 3 | 18 | no | — |
| 619 | C25 | — | 3 | 54 | no | — |
| 620 | C25 | — | 3 | 27 | no | — |
| 621 | C25 | — | 3 | 18 | no | — |
| 622 | C25 | — | 3 | 27 | no | — |
| 623 | C25 | — | 4 | 18 | no | — |
| 624 | C25 | — | 12 | 6 | no | — |
| 625 | C25 | — | 12 | 18 | no | — |
| 626 | C25 | — | 12 | 18 | no | — |
| 627 | C25 | — | 12 | 6 | no | — |
| 628 | C25 | — | 12 | 18 | no | — |
| 629 | C25 | — | 12 | 6 | no | — |
| 630 | C25 | — | 12 | 18 | no | — |
| 631 | C25 | — | 16 | 9 | no | — |
| 632 | C25 | — | 48 | 6 | no | — |
| 633 | C25 | — | 48 | 3 | no | — |
| 634 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 635 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 636 | H(5,𝔽2) | — | 4 | 54 | no | — |
| 637 | H(5,𝔽2) | — | 4 | 36 | no | — |
| 638 | H(5,𝔽2) | — | 6 | 54 | no | — |
| 639 | H(5,𝔽2) | — | 6 | 216 | no | — |
| 640 | H(5,𝔽2) | — | 6 | 54 | no | — |
| 641 | H(5,𝔽2) | — | 6 | 54 | no | — |
| 642 | H(5,𝔽2) | — | 6 | 54 | no | — |
| 643 | H(5,𝔽2) | — | 6 | 108 | no | — |
| 644 | H(5,𝔽2) | — | 6 | 108 | no | — |
| 645 | H(5,𝔽2) | — | 6 | 36 | no | — |
| 646 | H(5,𝔽2) | — | 6 | 36 | no | — |
| 647 | H(5,𝔽2) | — | 12 | 36 | no | — |
| 648 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 649 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 650 | H(5,𝔽2) | — | 12 | 36 | no | — |
| 651 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 652 | H(5,𝔽2) | — | 12 | 54 | no | — |
| 653 | H(5,𝔽2) | — | 12 | 18 | no | — |
| 654 | H(5,𝔽2) | — | 12 | 36 | no | — |
| 655 | H(5,𝔽2) | — | 12 | 54 | no | — |
| 656 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 657 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 658 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 659 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 660 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 661 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 662 | H(5,𝔽2) | — | 12 | 432 | no | — |
| 663 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 664 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 665 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 666 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 667 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 668 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 669 | H(5,𝔽2) | — | 12 | 216 | no | — |
| 670 | H(5,𝔽2) | — | 12 | 108 | no | — |
| 671 | H(5,𝔽2) | — | 12 | 72 | no | — |
| 672 | H(5,𝔽2) | — | 12 | 36 | no | — |
| 673 | H(5,𝔽2) | — | 12 | 12 | no | — |
| 674 | H(5,𝔽2) | — | 12 | 24 | no | — |
| 675 | H(5,𝔽2) | — | 12 | 36 | no | — |
| 676 | H(5,𝔽2) | — | 16 | 18 | no | — |
| 677 | H(5,𝔽2) | — | 48 | 12 | no | — |
| 678 | H(5,𝔽2) | — | 48 | 6 | no | — |
| 679 | H(5,𝔽2) | #997 | 1 | 2 | yes | complemented |
| 680 | C2×#41 | — | 3 | 108 | no | — |
| 681 | C2×#41 | — | 3 | 108 | no | — |
| 682 | C2×#41 | — | 3 | 36 | no | — |
| 683 | C2×#41 | — | 3 | 72 | no | — |
| 684 | C2×#41 | — | 3 | 108 | no | — |
| 685 | C2×#41 | — | 3 | 216 | no | — |
| 686 | C2×#41 | — | 3 | 216 | no | — |
| 687 | C2×#41 | — | 3 | 216 | no | — |
| 688 | C2×#41 | — | 3 | 36 | no | — |
| 689 | C2×#41 | — | 3 | 4 | no | — |
| 690 | C2×#41 | — | 3 | 36 | no | — |
| 691 | C2×#41 | — | 3 | 36 | no | — |
| 692 | C2×#41 | — | 3 | 108 | no | — |
| 693 | C2×#41 | — | 3 | 36 | no | — |
| 694 | C2×#41 | — | 6 | 108 | no | — |
| 695 | C2×#41 | — | 6 | 108 | no | — |
| 696 | C2×#41 | — | 6 | 36 | no | — |
| 697 | C2×#41 | — | 6 | 36 | no | — |
| 698 | C2×#41 | — | 12 | 108 | no | — |
| 699 | C2×#41 | — | 12 | 108 | no | — |
| 700 | C2×#41 | — | 12 | 108 | no | — |
| 701 | C2×#41 | — | 12 | 108 | no | — |
| 702 | C2×#41 | — | 12 | 108 | no | — |
| 703 | C2×#41 | — | 12 | 108 | no | — |
| 704 | C2×#41 | — | 12 | 108 | no | — |
| 705 | C2×#41 | — | 12 | 108 | no | — |
| 706 | C2×#41 | — | 12 | 108 | no | — |
| 707 | C2×#41 | — | 12 | 108 | no | — |
| 708 | C2×#41 | — | 12 | 216 | no | — |
| 709 | C2×#41 | — | 12 | 216 | no | — |
| 710 | C2×#41 | — | 12 | 108 | no | — |
| 711 | C2×#41 | — | 12 | 108 | no | — |
| 712 | C2×#41 | — | 12 | 108 | no | — |
| 713 | C2×#41 | — | 12 | 108 | no | — |
| 714 | C2×#41 | — | 12 | 36 | no | — |
| 715 | C2×#41 | — | 12 | 36 | no | — |
| 716 | C22×Q8 | — | 3 | 36 | no | — |
| 717 | C22×Q8 | — | 3 | 12 | no | — |
| 718 | C22×Q8 | — | 3 | 36 | no | — |
| 719 | C22×Q8 | — | 4 | 12 | no | — |
| 720 | C22×Q8 | — | 12 | 12 | no | — |
| 721 | C22×Q8 | — | 12 | 4 | no | — |
| 722 | C22×Q8 | — | 12 | 12 | no | — |
| 723 | C22×D4 | — | 3 | 6 | no | — |
| 724 | C22×D4 | — | 3 | 108 | no | — |
| 725 | C22×D4 | — | 3 | 54 | no | — |
| 726 | C22×D4 | — | 3 | 54 | no | — |
| 727 | C22×D4 | — | 3 | 216 | no | — |
| 728 | C22×D4 | — | 3 | 54 | no | — |
| 729 | C22×D4 | — | 3 | 108 | no | — |
| 730 | C22×D4 | — | 3 | 108 | no | — |
| 731 | C22×D4 | — | 3 | 216 | no | — |
| 732 | C22×D4 | — | 3 | 216 | no | — |
| 733 | C22×D4 | — | 3 | 108 | no | — |
| 734 | C22×D4 | — | 3 | 216 | no | — |
| 735 | C22×D4 | — | 3 | 216 | no | — |
| 736 | C22×D4 | — | 3 | 216 | no | — |
| 737 | C22×D4 | — | 3 | 108 | no | — |
| 738 | C22×D4 | — | 3 | 108 | no | — |
| 739 | C22×D4 | — | 3 | 108 | no | — |
| 740 | C22×D4 | — | 3 | 216 | no | — |
| 741 | C22×D4 | — | 3 | 108 | no | — |
| 742 | C22×D4 | — | 3 | 108 | no | — |
| 743 | C22×D4 | — | 3 | 216 | no | — |
| 744 | C22×D4 | — | 3 | 108 | no | — |
| 745 | C22×D4 | — | 3 | 54 | no | — |
| 746 | C22×D4 | — | 3 | 54 | no | — |
| 747 | C22×D4 | — | 6 | 54 | no | — |
| 748 | C22×D4 | — | 6 | 216 | no | — |
| 749 | C22×D4 | — | 6 | 54 | no | — |
| 750 | C22×D4 | — | 6 | 54 | no | — |
| 751 | C22×D4 | — | 6 | 54 | no | — |
| 752 | C22×D4 | — | 12 | 54 | no | — |
| 753 | C22×D4 | — | 12 | 108 | no | — |
| 754 | C22×D4 | — | 12 | 54 | no | — |
| 755 | C22×D4 | — | 12 | 54 | no | — |
| 756 | C22×D4 | — | 12 | 108 | no | — |
| 757 | C22×D4 | — | 12 | 54 | no | — |
| 758 | C22×D4 | — | 12 | 36 | no | — |
| 759 | C22×D4 | — | 12 | 36 | no | — |
| 760 | C22×D4 | — | 12 | 72 | no | — |
| 761 | C22×D4 | — | 12 | 72 | no | — |
| 762 | C22×D4 | — | 12 | 36 | no | — |
| 763 | C22×D4 | — | 12 | 36 | no | — |
| 764 | C22×D4 | — | 12 | 216 | no | — |
| 765 | C22×D4 | — | 12 | 216 | no | — |
| 766 | C22×D4 | — | 12 | 216 | no | — |
| 767 | C22×D4 | — | 12 | 216 | no | — |
| 768 | C22×D4 | — | 12 | 216 | no | — |
| 769 | C22×D4 | — | 12 | 216 | no | — |
| 770 | C22×D4 | — | 12 | 216 | no | — |
| 771 | C22×D4 | — | 12 | 216 | no | — |
| 772 | C22×D4 | — | 12 | 54 | no | — |
| 773 | C22×D4 | — | 12 | 108 | no | — |
| 774 | C22×D4 | — | 12 | 54 | no | — |
| 775 | C22×D4 | — | 12 | 108 | no | — |
| 776 | C22×D4 | — | 12 | 54 | no | — |
| 777 | C22×D4 | — | 12 | 54 | no | — |
| 778 | C22×D4 | — | 12 | 108 | no | — |
| 779 | C22×D4 | — | 12 | 54 | no | — |
| 780 | C22×D4 | — | 12 | 54 | no | — |
| 781 | C22×D4 | — | 12 | 108 | no | — |
| 782 | C22×D4 | — | 12 | 54 | no | — |
| 783 | C22×D4 | — | 12 | 54 | no | — |
| 784 | C22×D4 | — | 48 | 27 | no | — |
| 785 | C22×D4 | — | 48 | 27 | no | — |
| 786 | C23×C4 | — | 3 | 54 | no | — |
| 787 | C23×C4 | — | 3 | 54 | no | — |
| 788 | C23×C4 | — | 3 | 54 | no | — |
| 789 | C23×C4 | — | 3 | 12 | no | — |
| 790 | C23×C4 | — | 3 | 108 | no | — |
| 791 | C23×C4 | — | 3 | 108 | no | — |
| 792 | C23×C4 | — | 3 | 12 | no | — |
| 793 | C23×C4 | — | 3 | 27 | no | — |
| 794 | C23×C4 | — | 12 | 18 | no | — |
| 795 | C23×C4 | — | 12 | 36 | no | — |
| 796 | C23×C4 | — | 12 | 18 | no | — |
| 797 | C23×C4 | — | 12 | 18 | no | — |
| 798 | C23×C4 | — | 12 | 36 | no | — |
| 799 | C23×C4 | — | 12 | 18 | no | — |
| 800 | C4⋊Q8 | — | 3 | 72 | no | — |
| 801 | C4⋊Q8 | — | 3 | 72 | no | — |
| 802 | C4⋊Q8 | — | 3 | 72 | no | — |
| 803 | C4⋊Q8 | — | 3 | 12 | no | — |
| 804 | #127 | — | 3 | 108 | no | — |
| 805 | #127 | — | 3 | 216 | no | — |
| 806 | #127 | — | 3 | 216 | no | — |
| 807 | #127 | — | 3 | 216 | no | — |
| 808 | #127 | — | 3 | 216 | no | — |
| 809 | #126 | — | 3 | 432 | no | — |
| 810 | #126 | — | 3 | 432 | no | — |
| 811 | #125 | — | 3 | 144 | no | — |
| 812 | #125 | — | 3 | 216 | no | — |
| 813 | #124 | — | 3 | 432 | no | — |
| 814 | #124 | — | 3 | 216 | no | — |
| 815 | #124 | — | 3 | 216 | no | — |
| 816 | #124 | — | 3 | 216 | no | — |
| 817 | #124 | — | 3 | 108 | no | — |
| 818 | #124 | — | 3 | 216 | no | — |
| 819 | #124 | — | 3 | 108 | no | — |
| 820 | #123 | — | 3 | 432 | no | — |
| 821 | #123 | — | 3 | 432 | no | — |
| 822 | #123 | — | 3 | 432 | no | — |
| 823 | #123 | — | 3 | 432 | no | — |
| 824 | #123 | — | 3 | 432 | no | — |
| 825 | #123 | — | 3 | 432 | no | — |
| 826 | #123 | — | 3 | 216 | no | — |
| 827 | #123 | — | 3 | 216 | no | — |
| 828 | C22⋊Q8 | — | 3 | 144 | no | — |
| 829 | C22⋊Q8 | — | 3 | 432 | no | — |
| 830 | C22⋊Q8 | — | 3 | 144 | no | — |
| 831 | C22⋊Q8 | — | 3 | 72 | no | — |
| 832 | C22⋊Q8 | — | 3 | 216 | no | — |
| 833 | C22⋊Q8 | — | 3 | 432 | no | — |
| 834 | C22⋊Q8 | — | 3 | 72 | no | — |
| 835 | C22⋊Q8 | — | 3 | 72 | no | — |
| 836 | C22⋊Q8 | — | 3 | 216 | no | — |
| 837 | C22⋊Q8 | — | 3 | 72 | no | — |
| 838 | #121 | — | 3 | 432 | no | — |
| 839 | #121 | — | 3 | 216 | no | — |
| 840 | #121 | — | 3 | 432 | no | — |
| 841 | #121 | — | 3 | 216 | no | — |
| 842 | #121 | — | 3 | 432 | no | — |
| 843 | #121 | — | 3 | 432 | no | — |
| 844 | #121 | — | 3 | 432 | no | — |
| 845 | #121 | — | 3 | 432 | no | — |
| 846 | #121 | — | 3 | 432 | no | — |
| 847 | #121 | — | 3 | 432 | no | — |
| 848 | #121 | — | 3 | 432 | no | — |
| 849 | #121 | — | 3 | 216 | no | — |
| 850 | #121 | — | 3 | 216 | no | — |
| 851 | #121 | — | 3 | 432 | no | — |
| 852 | #121 | — | 3 | 216 | no | — |
| 853 | #121 | — | 3 | 216 | no | — |
| 854 | #121 | — | 3 | 432 | no | — |
| 855 | #121 | — | 3 | 432 | no | — |
| 856 | #120 | — | 3 | 216 | no | — |
| 857 | #120 | — | 3 | 216 | no | — |
| 858 | #120 | — | 3 | 432 | no | — |
| 859 | #120 | — | 3 | 432 | no | — |
| 860 | #120 | — | 3 | 432 | no | — |
| 861 | #120 | — | 3 | 432 | no | — |
| 862 | #120 | — | 3 | 432 | no | — |
| 863 | #120 | — | 3 | 216 | no | — |
| 864 | #120 | — | 3 | 216 | no | — |
| 865 | #120 | — | 3 | 216 | no | — |
| 866 | #120 | — | 3 | 432 | no | — |
| 867 | #120 | — | 3 | 216 | no | — |
| 868 | C4×Q8 | — | 3 | 72 | no | — |
| 869 | C4×Q8 | — | 3 | 216 | no | — |
| 870 | C4×Q8 | — | 3 | 24 | no | — |
| 871 | C4×Q8 | — | 3 | 8 | no | — |
| 872 | C4×Q8 | — | 3 | 24 | no | — |
| 873 | C4×Q8 | — | 3 | 24 | no | — |
| 874 | C4×D4 | — | 3 | 72 | no | — |
| 875 | C4×D4 | — | 3 | 144 | no | — |
| 876 | C4×D4 | — | 3 | 432 | no | — |
| 877 | C4×D4 | — | 3 | 216 | no | — |
| 878 | C4×D4 | — | 3 | 72 | no | — |
| 879 | C4×D4 | — | 3 | 432 | no | — |
| 880 | C4×D4 | — | 3 | 432 | no | — |
| 881 | C4×D4 | — | 3 | 432 | no | — |
| 882 | C4×D4 | — | 3 | 216 | no | — |
| 883 | C4×D4 | — | 3 | 216 | no | — |
| 884 | C4×D4 | — | 3 | 432 | no | — |
| 885 | C4×D4 | — | 3 | 216 | no | — |
| 886 | C4×D4 | — | 3 | 432 | no | — |
| 887 | C4×D4 | — | 3 | 432 | no | — |
| 888 | #117 | — | 3 | 72 | no | — |
| 889 | #117 | — | 3 | 216 | no | — |
| 890 | #117 | — | 3 | 216 | no | — |
| 891 | #117 | — | 3 | 216 | no | — |
| 892 | #117 | — | 3 | 108 | no | — |
| 893 | #117 | — | 3 | 108 | no | — |
| 894 | C2×C4⋊C4 | — | 3 | 36 | no | — |
| 895 | C2×C4⋊C4 | — | 3 | 108 | no | — |
| 896 | C2×C4⋊C4 | — | 3 | 108 | no | — |
| 897 | C2×C4⋊C4 | — | 3 | 216 | no | — |
| 898 | C2×C4⋊C4 | — | 3 | 36 | no | — |
| 899 | C2×C4⋊C4 | — | 3 | 72 | no | — |
| 900 | C2×C22⋊C4 | — | 3 | 36 | no | — |
| 901 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 902 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 903 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 904 | C2×C22⋊C4 | — | 3 | 108 | no | — |
| 905 | C2×C22⋊C4 | — | 3 | 108 | no | — |
| 906 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 907 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 908 | C2×C22⋊C4 | — | 3 | 54 | no | — |
| 909 | C2×C22⋊C4 | — | 3 | 108 | no | — |
| 910 | C2×C22⋊C4 | — | 3 | 216 | no | — |
| 911 | C2×C22⋊C4 | — | 3 | 36 | no | — |
| 912 | C2×C22⋊C4 | — | 3 | 54 | no | — |
| 913 | C2×C42 | — | 3 | 108 | no | — |
| 914 | C2×C42 | — | 3 | 36 | no | — |
| 915 | C2×C42 | — | 3 | 108 | no | — |
| 916 | C2×A4 | — | 64 | 6 | no | — |
| 917 | C2×A4 | — | 64 | 54 | no | — |
| 918 | C2×A4 | — | 64 | 27 | no | — |
| 919 | C2×A4 | — | 64 | 6 | no | — |
| 920 | C2×A4 | — | 64 | 6 | no | — |
| 921 | SL(2,𝔽3) | — | 64 | 36 | no | — |
| 922 | SL(2,𝔽3) | — | 64 | 12 | no | — |
| 923 | SL(2,𝔽3) | — | 64 | 4 | no | — |
| 924 | C24 | — | 3 | 2 | no | — |
| 925 | C24 | — | 3 | 27 | no | — |
| 926 | C24 | — | 3 | 54 | no | — |
| 927 | C24 | — | 3 | 54 | no | — |
| 928 | C24 | — | 3 | 9 | no | — |
| 929 | C24 | — | 3 | 18 | no | — |
| 930 | C24 | — | 3 | 36 | no | — |
| 931 | C24 | — | 6 | 54 | no | — |
| 932 | C24 | — | 6 | 18 | no | — |
| 933 | C24 | — | 6 | 54 | no | — |
| 934 | C24 | — | 6 | 18 | no | — |
| 935 | C24 | — | 12 | 18 | no | — |
| 936 | C24 | — | 12 | 18 | no | — |
| 937 | C24 | — | 12 | 54 | no | — |
| 938 | C24 | — | 12 | 54 | no | — |
| 939 | C24 | — | 12 | 18 | no | — |
| 940 | C24 | — | 12 | 18 | no | — |
| 941 | C24 | — | 12 | 54 | no | — |
| 942 | C24 | — | 12 | 54 | no | — |
| 943 | C24 | — | 12 | 54 | no | — |
| 944 | C24 | — | 12 | 54 | no | — |
| 945 | C24 | — | 12 | 54 | no | — |
| 946 | C24 | — | 12 | 54 | no | — |
| 947 | C24 | — | 16 | 9 | no | — |
| 948 | C24 | — | 24 | 18 | no | — |
| 949 | C24 | — | 24 | 27 | no | — |
| 950 | C24 | — | 24 | 18 | no | — |
| 951 | C24 | — | 24 | 54 | no | — |
| 952 | C24 | — | 24 | 27 | no | — |
| 953 | C24 | — | 48 | 27 | no | — |
| 954 | C24 | — | 48 | 6 | no | — |
| 955 | C24 | — | 48 | 18 | no | — |
| 956 | C24 | — | 48 | 18 | no | — |
| 957 | C24 | — | 48 | 54 | no | — |
| 958 | C24 | — | 48 | 3 | no | — |
| 959 | C24 | — | 48 | 18 | no | — |
| 960 | C24 | — | 48 | 27 | no | — |
| 961 | C24 | — | 48 | 18 | no | — |
| 962 | C24 | C22⋊(C22⋊A4) | 1 | 6 | yes | — |
| 963 | C24 | C22⋊(C22⋊A4) | 1 | 27 | yes | — |
| 964 | #41 | — | 3 | 12 | no | — |
| 965 | #41 | — | 3 | 12 | no | — |
| 966 | #41 | — | 3 | 4 | no | — |
| 967 | #41 | — | 3 | 4 | no | — |
| 968 | #41 | — | 6 | 108 | no | — |
| 969 | #41 | — | 6 | 108 | no | — |
| 970 | #41 | — | 6 | 108 | no | — |
| 971 | #41 | — | 6 | 108 | no | — |
| 972 | #41 | — | 6 | 216 | no | — |
| 973 | #41 | — | 6 | 108 | no | — |
| 974 | #41 | — | 6 | 108 | no | — |
| 975 | #41 | — | 6 | 108 | no | — |
| 976 | #41 | — | 6 | 36 | no | — |
| 977 | #41 | — | 12 | 36 | no | — |
| 978 | #41 | — | 12 | 36 | no | — |
| 979 | #41 | — | 12 | 36 | no | — |
| 980 | #41 | — | 12 | 72 | no | — |
| 981 | #41 | — | 12 | 36 | no | — |
| 982 | #41 | — | 12 | 72 | no | — |
| 983 | #41 | — | 12 | 108 | no | — |
| 984 | #41 | — | 12 | 108 | no | — |
| 985 | #41 | — | 12 | 108 | no | — |
| 986 | #41 | — | 12 | 216 | no | — |
| 987 | #41 | — | 12 | 108 | no | — |
| 988 | #41 | — | 12 | 216 | no | — |
| 989 | #41 | — | 12 | 216 | no | — |
| 990 | #41 | — | 12 | 216 | no | — |
| 991 | #41 | — | 12 | 216 | no | — |
| 992 | #41 | — | 12 | 216 | no | — |
| 993 | #41 | — | 24 | 36 | no | — |
| 994 | #41 | — | 24 | 36 | no | — |
| 995 | C2×Q8 | — | 3 | 36 | no | — |
| 996 | C2×Q8 | — | 3 | 4 | no | — |
| 997 | C2×Q8 | — | 3 | 12 | no | — |
| 998 | C2×Q8 | — | 3 | 24 | no | — |
| 999 | C2×Q8 | — | 6 | 36 | no | — |
| 1000 | C2×Q8 | — | 6 | 12 | no | — |
| 1001 | C2×Q8 | — | 12 | 36 | no | — |
| 1002 | C2×Q8 | — | 12 | 36 | no | — |
| 1003 | C2×Q8 | — | 12 | 36 | no | — |
| 1004 | C2×Q8 | — | 12 | 36 | no | — |
| 1005 | C2×Q8 | C22⋊(C22⋊A4) | 1 | 4 | yes | — |
| 1006 | C2×Q8 | C22⋊(C22⋊A4) | 1 | 12 | yes | — |
| 1007 | C2×Q8 | C22⋊(C22⋊A4) | 1 | 36 | yes | — |
| 1008 | C2×D4 | — | 3 | 12 | no | — |
| 1009 | C2×D4 | — | 3 | 6 | no | — |
| 1010 | C2×D4 | — | 3 | 24 | no | — |
| 1011 | C2×D4 | — | 3 | 6 | no | — |
| 1012 | C2×D4 | — | 3 | 6 | no | — |
| 1013 | C2×D4 | — | 3 | 6 | no | — |
| 1014 | C2×D4 | — | 3 | 216 | no | — |
| 1015 | C2×D4 | — | 3 | 108 | no | — |
| 1016 | C2×D4 | — | 3 | 108 | no | — |
| 1017 | C2×D4 | — | 3 | 108 | no | — |
| 1018 | C2×D4 | — | 3 | 108 | no | — |
| 1019 | C2×D4 | — | 3 | 108 | no | — |
| 1020 | C2×D4 | — | 3 | 216 | no | — |
| 1021 | C2×D4 | — | 6 | 54 | no | — |
| 1022 | C2×D4 | — | 6 | 108 | no | — |
| 1023 | C2×D4 | — | 6 | 54 | no | — |
| 1024 | C2×D4 | — | 6 | 216 | no | — |
| 1025 | C2×D4 | — | 6 | 108 | no | — |
| 1026 | C2×D4 | — | 6 | 108 | no | — |
| 1027 | C2×D4 | — | 6 | 216 | no | — |
| 1028 | C2×D4 | — | 6 | 216 | no | — |
| 1029 | C2×D4 | — | 6 | 216 | no | — |
| 1030 | C2×D4 | — | 6 | 216 | no | — |
| 1031 | C2×D4 | — | 6 | 108 | no | — |
| 1032 | C2×D4 | — | 6 | 54 | no | — |
| 1033 | C2×D4 | — | 6 | 54 | no | — |
| 1034 | C2×D4 | — | 6 | 108 | no | — |
| 1035 | C2×D4 | — | 6 | 54 | no | — |
| 1036 | C2×D4 | — | 6 | 54 | no | — |
| 1037 | C2×D4 | — | 12 | 108 | no | — |
| 1038 | C2×D4 | — | 12 | 108 | no | — |
| 1039 | C2×D4 | — | 12 | 108 | no | — |
| 1040 | C2×D4 | — | 12 | 108 | no | — |
| 1041 | C2×D4 | — | 12 | 108 | no | — |
| 1042 | C2×D4 | — | 12 | 108 | no | — |
| 1043 | C2×D4 | — | 12 | 108 | no | — |
| 1044 | C2×D4 | — | 12 | 216 | no | — |
| 1045 | C2×D4 | — | 12 | 108 | no | — |
| 1046 | C2×D4 | — | 12 | 216 | no | — |
| 1047 | C2×D4 | — | 12 | 108 | no | — |
| 1048 | C2×D4 | — | 12 | 108 | no | — |
| 1049 | C2×D4 | — | 12 | 108 | no | — |
| 1050 | C2×D4 | — | 12 | 108 | no | — |
| 1051 | C2×D4 | — | 12 | 108 | no | — |
| 1052 | C2×D4 | — | 12 | 108 | no | — |
| 1053 | C2×D4 | — | 12 | 216 | no | — |
| 1054 | C2×D4 | — | 12 | 216 | no | — |
| 1055 | C2×D4 | — | 12 | 216 | no | — |
| 1056 | C2×D4 | — | 12 | 216 | no | — |
| 1057 | C2×D4 | — | 12 | 108 | no | — |
| 1058 | C2×D4 | — | 12 | 216 | no | — |
| 1059 | C2×D4 | — | 12 | 108 | no | — |
| 1060 | C2×D4 | — | 12 | 216 | no | — |
| 1061 | C2×D4 | — | 12 | 216 | no | — |
| 1062 | C2×D4 | — | 12 | 216 | no | — |
| 1063 | C2×D4 | — | 12 | 216 | no | — |
| 1064 | C2×D4 | — | 12 | 216 | no | — |
| 1065 | C2×D4 | — | 24 | 54 | no | — |
| 1066 | C2×D4 | — | 24 | 216 | no | — |
| 1067 | C2×D4 | — | 24 | 108 | no | — |
| 1068 | C2×D4 | — | 24 | 54 | no | — |
| 1069 | C22×C4 | — | 3 | 6 | no | — |
| 1070 | C22×C4 | — | 3 | 36 | no | — |
| 1071 | C22×C4 | — | 3 | 54 | no | — |
| 1072 | C22×C4 | — | 3 | 108 | no | — |
| 1073 | C22×C4 | — | 3 | 36 | no | — |
| 1074 | C22×C4 | — | 3 | 54 | no | — |
| 1075 | C22×C4 | — | 3 | 36 | no | — |
| 1076 | C22×C4 | — | 3 | 36 | no | — |
| 1077 | C22×C4 | — | 3 | 108 | no | — |
| 1078 | C22×C4 | — | 3 | 108 | no | — |
| 1079 | C22×C4 | — | 6 | 54 | no | — |
| 1080 | C22×C4 | — | 6 | 108 | no | — |
| 1081 | C22×C4 | — | 6 | 54 | no | — |
| 1082 | C22×C4 | — | 12 | 12 | no | — |
| 1083 | C22×C4 | — | 12 | 12 | no | — |
| 1084 | C22×C4 | — | 12 | 12 | no | — |
| 1085 | C22×C4 | — | 12 | 12 | no | — |
| 1086 | C22×C4 | — | 12 | 108 | no | — |
| 1087 | C22×C4 | — | 12 | 108 | no | — |
| 1088 | C22×C4 | — | 12 | 108 | no | — |
| 1089 | C22×C4 | — | 12 | 108 | no | — |
| 1090 | C22×C4 | — | 12 | 54 | no | — |
| 1091 | C22×C4 | — | 12 | 54 | no | — |
| 1092 | C22×C4 | — | 12 | 54 | no | — |
| 1093 | C22×C4 | — | 12 | 54 | no | — |
| 1094 | C22×C4 | — | 24 | 27 | no | — |
| 1095 | C4⋊C4 | — | 3 | 72 | no | — |
| 1096 | C4⋊C4 | — | 3 | 216 | no | — |
| 1097 | C4⋊C4 | — | 3 | 24 | no | — |
| 1098 | C4⋊C4 | — | 3 | 72 | no | — |
| 1099 | C4⋊C4 | — | 3 | 72 | no | — |
| 1100 | C4⋊C4 | — | 3 | 72 | no | — |
| 1101 | C22⋊C4 | — | 3 | 144 | no | — |
| 1102 | C22⋊C4 | — | 3 | 216 | no | — |
| 1103 | C22⋊C4 | — | 3 | 216 | no | — |
| 1104 | C22⋊C4 | — | 3 | 432 | no | — |
| 1105 | C42 | — | 3 | 12 | no | — |
| 1106 | C42 | — | 3 | 72 | no | — |
| 1107 | C42 | — | 3 | 108 | no | — |
| 1108 | C22×C3 | — | 256 | 1 | no | — |
| 1109 | A4 | — | 64 | 6 | no | — |
| 1110 | A4 | — | 64 | 27 | no | — |
| 1111 | C23 | — | 3 | 6 | no | — |
| 1112 | C23 | — | 3 | 2 | no | — |
| 1113 | C23 | — | 3 | 6 | no | — |
| 1114 | C23 | — | 3 | 6 | no | — |
| 1115 | C23 | — | 3 | 27 | no | — |
| 1116 | C23 | — | 4 | 6 | no | — |
| 1117 | C23 | — | 4 | 6 | no | — |
| 1118 | C23 | — | 4 | 54 | no | — |
| 1119 | C23 | — | 4 | 27 | no | — |
| 1120 | C23 | — | 6 | 54 | no | — |
| 1121 | C23 | — | 6 | 54 | no | — |
| 1122 | C23 | — | 6 | 54 | no | — |
| 1123 | C23 | — | 6 | 54 | no | — |
| 1124 | C23 | — | 6 | 54 | no | — |
| 1125 | C23 | — | 6 | 54 | no | — |
| 1126 | C23 | — | 12 | 2 | no | — |
| 1127 | C23 | — | 12 | 27 | no | — |
| 1128 | C23 | — | 12 | 2 | no | — |
| 1129 | C23 | — | 12 | 54 | no | — |
| 1130 | C23 | — | 12 | 54 | no | — |
| 1131 | C23 | — | 12 | 54 | no | — |
| 1132 | C23 | — | 12 | 54 | no | — |
| 1133 | C23 | — | 12 | 36 | no | — |
| 1134 | C23 | — | 12 | 18 | no | — |
| 1135 | C23 | — | 12 | 36 | no | — |
| 1136 | C23 | — | 12 | 36 | no | — |
| 1137 | C23 | — | 12 | 18 | no | — |
| 1138 | C23 | — | 12 | 9 | no | — |
| 1139 | C23 | — | 12 | 36 | no | — |
| 1140 | C23 | — | 24 | 18 | no | — |
| 1141 | C23 | — | 24 | 18 | no | — |
| 1142 | C23 | — | 24 | 54 | no | — |
| 1143 | C23 | — | 24 | 54 | no | — |
| 1144 | C23 | — | 24 | 18 | no | — |
| 1145 | C23 | — | 24 | 18 | no | — |
| 1146 | C23 | — | 24 | 54 | no | — |
| 1147 | C23 | — | 24 | 54 | no | — |
| 1148 | C23 | — | 48 | 27 | no | — |
| 1149 | C23 | — | 48 | 54 | no | — |
| 1150 | C23 | — | 48 | 27 | no | — |
| 1151 | C23 | — | 48 | 54 | no | — |
| 1152 | C23 | — | 48 | 27 | no | — |
| 1153 | C23 | — | 48 | 54 | no | — |
| 1154 | C23 | — | 48 | 54 | no | — |
| 1155 | C23 | — | 48 | 54 | no | — |
| 1156 | C23 | — | 48 | 54 | no | — |
| 1157 | C23 | — | 48 | 27 | no | — |
| 1158 | C23 | C22⋊#997 | 1 | 6 | yes | complemented |
| 1159 | Q8 | — | 3 | 4 | no | — |
| 1160 | Q8 | — | 4 | 36 | no | — |
| 1161 | Q8 | — | 4 | 12 | no | — |
| 1162 | Q8 | — | 6 | 36 | no | — |
| 1163 | Q8 | — | 6 | 36 | no | — |
| 1164 | Q8 | — | 12 | 12 | no | — |
| 1165 | Q8 | — | 12 | 24 | no | — |
| 1166 | Q8 | — | 12 | 4 | no | — |
| 1167 | Q8 | C22⋊#997 | 1 | 4 | yes | complemented |
| 1168 | D4 | — | 3 | 24 | no | — |
| 1169 | D4 | — | 3 | 12 | no | — |
| 1170 | D4 | — | 3 | 12 | no | — |
| 1171 | D4 | — | 6 | 108 | no | — |
| 1172 | D4 | — | 6 | 108 | no | — |
| 1173 | D4 | — | 6 | 216 | no | — |
| 1174 | D4 | — | 6 | 216 | no | — |
| 1175 | D4 | — | 12 | 108 | no | — |
| 1176 | D4 | — | 12 | 108 | no | — |
| 1177 | D4 | — | 12 | 216 | no | — |
| 1178 | D4 | — | 12 | 108 | no | — |
| 1179 | D4 | — | 12 | 108 | no | — |
| 1180 | C2×C4 | — | 3 | 6 | no | — |
| 1181 | C2×C4 | — | 3 | 12 | no | — |
| 1182 | C2×C4 | — | 3 | 6 | no | — |
| 1183 | C2×C4 | — | 3 | 4 | no | — |
| 1184 | C2×C4 | — | 3 | 12 | no | — |
| 1185 | C2×C4 | — | 3 | 36 | no | — |
| 1186 | C2×C4 | — | 6 | 36 | no | — |
| 1187 | C2×C4 | — | 6 | 36 | no | — |
| 1188 | C2×C4 | — | 6 | 108 | no | — |
| 1189 | C2×C4 | — | 6 | 108 | no | — |
| 1190 | C2×C4 | — | 6 | 54 | no | — |
| 1191 | C2×C4 | — | 6 | 54 | no | — |
| 1192 | C2×C4 | — | 12 | 36 | no | — |
| 1193 | C2×C4 | — | 12 | 36 | no | — |
| 1194 | C2×C4 | — | 12 | 108 | no | — |
| 1195 | C2×C4 | — | 12 | 108 | no | — |
| 1196 | C2×C4 | — | 12 | 36 | no | — |
| 1197 | C2×C4 | — | 12 | 54 | no | — |
| 1198 | C2×C3 | — | 256 | 2 | no | — |
| 1199 | C2×C3 | — | 256 | 1 | no | — |
| 1200 | C22 | — | 3 | 6 | no | — |
| 1201 | C22 | — | 3 | 6 | no | — |
| 1202 | C22 | — | 4 | 6 | no | — |
| 1203 | C22 | — | 6 | 6 | no | — |
| 1204 | C22 | — | 6 | 6 | no | — |
| 1205 | C22 | — | 6 | 54 | no | — |
| 1206 | C22 | — | 6 | 27 | no | — |
| 1207 | C22 | — | 12 | 6 | no | — |
| 1208 | C22 | — | 12 | 2 | no | — |
| 1209 | C22 | — | 12 | 6 | no | — |
| 1210 | C22 | — | 12 | 27 | no | — |
| 1211 | C22 | — | 12 | 54 | no | — |
| 1212 | C22 | — | 12 | 27 | no | — |
| 1213 | C22 | — | 16 | 27 | no | — |
| 1214 | C22 | — | 24 | 54 | no | — |
| 1215 | C22 | — | 24 | 54 | no | — |
| 1216 | C22 | — | 24 | 54 | no | — |
| 1217 | C22 | — | 24 | 54 | no | — |
| 1218 | C22 | — | 48 | 9 | no | — |
| 1219 | C22 | — | 48 | 36 | no | — |
| 1220 | C22 | — | 48 | 18 | no | — |
| 1221 | C22 | C22⋊(C22⋊(C22⋊A4)) | 1 | 1 | yes | characteristic |
| 1222 | C4 | — | 3 | 4 | no | — |
| 1223 | C4 | — | 3 | 4 | no | — |
| 1224 | C4 | — | 6 | 36 | no | — |
| 1225 | C4 | — | 6 | 12 | no | — |
| 1226 | C3 | — | 256 | 1 | no | Sylow |
| 1227 | C2 | — | 6 | 6 | no | — |
| 1228 | C2 | — | 6 | 6 | no | — |
| 1229 | C2 | — | 12 | 27 | no | — |
| 1230 | C2 | #72210027 | 1 | 1 | yes | characteristic |
| 1231 | C2 | #72257803 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, socle, hypercenter | C22 | C22⋊(C22⋊(C22⋊A4)) |
| commutator, Fitting, cosocle, hypocenter | H(5,𝔽2)2 | C3 |
| LCS | G ▷ H(5,𝔽2)2 | |
| UCS | C1 ◁ C22 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. H(5,𝔽2)2 | C3 | semidirect |
| 14. C23×H(5,𝔽2) | A4 | semidirect |
| 16. #63040 | A4 | semidirect |
| 27. Q8×H(5,𝔽2) | A4 | semidirect |
| 36. #62895 | A4 | semidirect |
| 47. #62817 | A4 | semidirect |
| 256. C26 | C22⋊A4 | semidirect |
| 294. C2×H(5,𝔽2) | C22⋊A4 | semidirect |
| 295. C2×H(5,𝔽2) | C22⋊A4 | semidirect |
| 296. C2×H(5,𝔽2) | C22⋊A4 | semidirect |
| 313. C23×Q8 | C22⋊A4 | semidirect |
| 348. H(3,𝔽4) | C22⋊A4 | semidirect |
| 359. Q82 | C22⋊A4 | semidirect |
| 360. Q82 | C22⋊A4 | semidirect |
| 453. #543 | C22⋊A4 | semidirect |
| 454. #543 | C22⋊A4 | semidirect |
| 679. H(5,𝔽2) | #997 | semidirect |
| 1158. C23 | C22⋊#997 | semidirect |
| 1167. Q8 | C22⋊#997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| H(5,𝔽2)2 | 3 |
| C2×C22⋊#997 | 4 |
| #11710846 | 4 |
| #11710785 | 4 |
| #11710758 | 4 |
| #11710730 | 4 |