Finite Group DatabasebetaFinite Group DatabasebetaOrder 8192.
3232 conjugacy classes of subgroups.
The subgroup lattice has 900 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227232 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72227228 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72227224 | C22 | 1 | 2 | yes | — |
| 4 | #72227222 | — | 4 | 2 | no | — |
| 5 | #72227186 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72227183 | C22 | 1 | 2 | yes | — |
| 7 | #72227181 | — | 2 | 2 | no | — |
| 8 | #72227180 | — | 2 | 2 | no | — |
| 9 | #72227105 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #72227101 | — | 2 | 4 | no | — |
| 11 | #72227099 | — | 4 | 4 | no | — |
| 12 | #72227098 | — | 4 | 4 | no | — |
| 13 | #72227097 | — | 2 | 4 | no | — |
| 14 | #72227096 | — | 2 | 4 | no | — |
| 15 | #72227095 | — | 2 | 4 | no | — |
| 16 | #72225536 | C22 | 1 | 4 | yes | — |
| 17 | #72225532 | — | 2 | 4 | no | — |
| 18 | #72225526 | — | 2 | 4 | no | — |
| 19 | #72225434 | C22 | 1 | 2 | yes | — |
| 20 | #72225431 | — | 4 | 2 | no | — |
| 21 | #72225428 | — | 2 | 4 | no | — |
| 22 | #72225426 | — | 2 | 4 | no | — |
| 23 | #72225358 | C22 | 1 | 4 | yes | — |
| 24 | #72225357 | — | 2 | 4 | no | — |
| 25 | #72225354 | — | 2 | 4 | no | — |
| 26 | #72225326 | C22 | 1 | 2 | yes | — |
| 27 | #72225323 | D4 | 1 | 2 | yes | — |
| 28 | #72225322 | D4 | 1 | 2 | yes | — |
| 29 | #72225251 | C2 | 1 | 2 | yes | maximal, complemented |
| 30 | #72225081 | — | 4 | 4 | no | — |
| 31 | #72225075 | — | 4 | 4 | no | — |
| 32 | #72223681 | D4 | 1 | 4 | yes | — |
| 33 | #72216569 | C22 | 1 | 2 | yes | — |
| 34 | #72216565 | — | 4 | 2 | no | — |
| 35 | #72216544 | C22 | 1 | 4 | yes | — |
| 36 | #72216431 | C22 | 1 | 2 | yes | — |
| 37 | #72216426 | — | 4 | 2 | no | — |
| 38 | #72216424 | — | 2 | 4 | no | — |
| 39 | #72216421 | — | 2 | 4 | no | — |
| 40 | #72216389 | C2 | 1 | 1 | yes | maximal, characteristic |
| 41 | #72216385 | C4 | 1 | 4 | yes | — |
| 42 | #72216382 | C4 | 1 | 1 | yes | characteristic |
| 43 | #72216379 | C4 | 1 | 1 | yes | characteristic |
| 44 | #72216374 | C4 | 1 | 1 | yes | characteristic |
| 45 | #72216368 | C4 | 1 | 1 | yes | characteristic |
| 46 | #72216364 | C8 | 1 | 2 | yes | complemented |
| 47 | #72216358 | C8 | 1 | 4 | yes | complemented |
| 48 | #72216341 | C22 | 1 | 4 | yes | — |
| 49 | #72216324 | — | 2 | 4 | no | — |
| 50 | #72216324 | — | 2 | 4 | no | — |
| 51 | #72216315 | — | 2 | 4 | no | — |
| 52 | #72216315 | — | 2 | 4 | no | — |
| 53 | #72216300 | C22 | 1 | 4 | yes | — |
| 54 | #72216298 | C2×C4 | 1 | 4 | yes | — |
| 55 | #72216297 | — | 2 | 4 | no | — |
| 56 | #72216293 | — | 2 | 4 | no | — |
| 57 | #72216290 | C2×C4 | 1 | 4 | yes | — |
| 58 | #72216288 | C2×C4 | 1 | 4 | yes | — |
| 59 | #72216275 | C2×C4 | 1 | 4 | yes | — |
| 60 | #72216263 | C8 | 1 | 2 | yes | complemented |
| 61 | #72216257 | C22 | 1 | 1 | yes | characteristic |
| 62 | #72216251 | C2×C4 | 1 | 2 | yes | — |
| 63 | #72216249 | C23 | 1 | 2 | yes | — |
| 64 | #72216247 | C23 | 1 | 4 | yes | — |
| 65 | #72216244 | — | 4 | 1 | no | — |
| 66 | #72216241 | — | 4 | 1 | no | — |
| 67 | #72216239 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | #72216236 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | #72216231 | C22 | 1 | 1 | yes | characteristic |
| 70 | #72216226 | C2×C4 | 1 | 2 | yes | — |
| 71 | C8×#1398 | C23 | 1 | 2 | yes | — |
| 72 | #72216220 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | #72216215 | C23 | 1 | 4 | yes | — |
| 74 | C16×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 75 | #72216199 | C22 | 1 | 1 | yes | characteristic |
| 76 | #72216197 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | #72216196 | — | 4 | 1 | no | — |
| 78 | #72216196 | C2×C4 | 1 | 2 | yes | — |
| 79 | C2×#123403 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | #72216182 | C23 | 1 | 1 | yes | characteristic |
| 81 | #72216165 | — | 4 | 1 | no | — |
| 82 | #72216165 | C23 | 1 | 2 | yes | — |
| 83 | #513051 | — | 2 | 4 | no | — |
| 84 | #513051 | — | 2 | 4 | no | — |
| 85 | C2×#13658 | — | 4 | 4 | no | — |
| 86 | C2×#13658 | — | 4 | 4 | no | — |
| 87 | C2×#13658 | — | 8 | 4 | no | — |
| 88 | #498550 | — | 4 | 2 | no | — |
| 89 | #496112 | — | 2 | 4 | no | — |
| 90 | #496104 | — | 2 | 4 | no | — |
| 91 | #496104 | — | 8 | 2 | no | — |
| 92 | #491485 | — | 4 | 1 | no | — |
| 93 | #491465 | C22×C4 | 1 | 2 | yes | — |
| 94 | C2×#12515 | — | 4 | 1 | no | — |
| 95 | C2×#12515 | C22×C4 | 1 | 2 | yes | — |
| 96 | #483943 | — | 8 | 2 | no | — |
| 97 | #483601 | — | 4 | 4 | no | — |
| 98 | #483596 | — | 4 | 4 | no | — |
| 99 | #231469 | — | 4 | 2 | no | — |
| 100 | #213237 | — | 2 | 2 | no | — |
| 101 | C4×#1712 | — | 2 | 2 | no | — |
| 102 | #152984 | — | 4 | 4 | no | — |
| 103 | #152984 | — | 4 | 4 | no | — |
| 104 | #152984 | — | 8 | 4 | no | — |
| 105 | #152899 | — | 2 | 4 | no | — |
| 106 | #152899 | — | 2 | 4 | no | — |
| 107 | #152896 | — | 2 | 4 | no | — |
| 108 | #152896 | — | 2 | 4 | no | — |
| 109 | #152407 | — | 2 | 4 | no | — |
| 110 | #152407 | — | 2 | 4 | no | — |
| 111 | #151981 | — | 2 | 4 | no | — |
| 112 | C4×#1398 | C2×D4 | 1 | 2 | yes | — |
| 113 | C4×#1398 | C2×D4 | 1 | 2 | yes | — |
| 114 | #151728 | — | 2 | 8 | no | — |
| 115 | #151726 | C2×C8 | 1 | 8 | yes | complemented |
| 116 | #151724 | C2×C8 | 1 | 8 | yes | complemented |
| 117 | AGL(1,ℤ/32) | — | 8 | 16 | no | — |
| 118 | #151024 | — | 2 | 4 | no | — |
| 119 | C2×#7456 | — | 2 | 4 | no | — |
| 120 | C2×#7390 | — | 4 | 4 | no | — |
| 121 | C2×#7390 | — | 4 | 4 | no | — |
| 122 | #150071 | — | 4 | 4 | no | — |
| 123 | #150071 | — | 4 | 4 | no | — |
| 124 | #149504 | — | 4 | 4 | no | — |
| 125 | #149495 | #41 | 1 | 2 | yes | — |
| 126 | #149495 | #41 | 1 | 2 | yes | — |
| 127 | C8×M64 | C22×C4 | 1 | 2 | yes | — |
| 128 | C8×M64 | C22×C4 | 1 | 2 | yes | — |
| 129 | #141812 | — | 4 | 2 | no | — |
| 130 | #141786 | — | 8 | 2 | no | — |
| 131 | #141684 | — | 2 | 4 | no | — |
| 132 | #141681 | — | 2 | 4 | no | — |
| 133 | #141681 | — | 8 | 2 | no | — |
| 134 | #141671 | — | 2 | 2 | no | — |
| 135 | #141665 | — | 2 | 2 | no | — |
| 136 | #141665 | — | 4 | 2 | no | — |
| 137 | #140849 | — | 4 | 4 | no | — |
| 138 | #140841 | — | 4 | 4 | no | — |
| 139 | #140752 | — | 4 | 4 | no | — |
| 140 | #140747 | — | 4 | 4 | no | — |
| 141 | #136703 | — | 8 | 4 | no | — |
| 142 | #136683 | — | 8 | 4 | no | — |
| 143 | #135796 | — | 4 | 1 | no | — |
| 144 | #135781 | C22×C4 | 1 | 2 | yes | — |
| 145 | #135778 | — | 4 | 1 | no | — |
| 146 | #135778 | C22×C4 | 1 | 2 | yes | — |
| 147 | #129090 | C2×D4 | 1 | 4 | yes | — |
| 148 | #129088 | C2×D4 | 1 | 4 | yes | — |
| 149 | #129051 | — | 2 | 4 | no | — |
| 150 | C8×#346 | — | 2 | 1 | no | — |
| 151 | C8×#346 | C24 | 1 | 1 | yes | characteristic |
| 152 | #124215 | — | 4 | 2 | no | — |
| 153 | #124213 | — | 4 | 2 | no | — |
| 154 | #123406 | C2×C8 | 1 | 2 | yes | complemented |
| 155 | #123405 | — | 4 | 1 | no | — |
| 156 | #123404 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 157 | #123403 | — | 4 | 1 | no | — |
| 158 | #123403 | C2×C8 | 1 | 2 | yes | — |
| 159 | #123403 | C2×C8 | 1 | 2 | yes | — |
| 160 | #123403 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 161 | C2×#7052 | — | 2 | 1 | no | — |
| 162 | C2×#7052 | C22×C4 | 1 | 1 | yes | characteristic |
| 163 | C2×C162 | C22×C4 | 1 | 1 | yes | characteristic |
| 164 | #94031 | — | 2 | 4 | no | — |
| 165 | #94018 | — | 2 | 4 | no | — |
| 166 | #93995 | — | 4 | 4 | no | — |
| 167 | #93926 | — | 8 | 4 | no | — |
| 168 | #93924 | — | 8 | 4 | no | — |
| 169 | #93878 | — | 4 | 4 | no | — |
| 170 | #93666 | — | 2 | 4 | no | — |
| 171 | #93665 | — | 4 | 1 | no | — |
| 172 | #93664 | C2×C8 | 1 | 2 | yes | complemented |
| 173 | C16×C32 | C2×C8 | 1 | 2 | yes | complemented |
| 174 | #93264 | — | 2 | 4 | no | — |
| 175 | C2×#2263 | — | 4 | 4 | no | — |
| 176 | C2×#2263 | — | 4 | 4 | no | — |
| 177 | C2×#2263 | — | 8 | 4 | no | — |
| 178 | #33733 | — | 8 | 2 | no | — |
| 179 | #33713 | — | 2 | 4 | no | — |
| 180 | C2×#2246 | — | 2 | 4 | no | — |
| 181 | C2×#2246 | — | 8 | 2 | no | — |
| 182 | C2×#2179 | — | 4 | 4 | no | — |
| 183 | C2×#2179 | — | 4 | 4 | no | — |
| 184 | C2×#2177 | — | 4 | 4 | no | — |
| 185 | C2×#2177 | — | 4 | 4 | no | — |
| 186 | C2×#2177 | — | 16 | 4 | no | — |
| 187 | #33443 | — | 8 | 4 | no | — |
| 188 | #21705 | — | 4 | 2 | no | — |
| 189 | C4×#493 | — | 4 | 2 | no | — |
| 190 | C4×#493 | — | 8 | 2 | no | — |
| 191 | #19603 | — | 2 | 2 | no | — |
| 192 | C2×#1712 | — | 2 | 2 | no | — |
| 193 | #17956 | — | 8 | 2 | no | — |
| 194 | #17854 | — | 8 | 4 | no | — |
| 195 | #13729 | — | 4 | 8 | no | — |
| 196 | #13729 | — | 8 | 4 | no | — |
| 197 | #13727 | — | 2 | 8 | no | — |
| 198 | #13727 | — | 2 | 8 | no | — |
| 199 | #13725 | — | 2 | 8 | no | — |
| 200 | #13725 | — | 2 | 8 | no | — |
| 201 | #13658 | — | 8 | 8 | no | — |
| 202 | #13658 | — | 8 | 8 | no | — |
| 203 | #13658 | — | 16 | 4 | no | — |
| 204 | #13658 | — | 16 | 4 | no | — |
| 205 | #13658 | — | 16 | 8 | no | — |
| 206 | #13658 | — | 16 | 8 | no | — |
| 207 | C2×#1426 | — | 4 | 4 | no | — |
| 208 | C2×#1426 | — | 4 | 4 | no | — |
| 209 | C2×#1426 | — | 8 | 4 | no | — |
| 210 | C2×#1422 | — | 4 | 4 | no | — |
| 211 | C2×#1419 | — | 4 | 4 | no | — |
| 212 | C2×#1419 | — | 4 | 4 | no | — |
| 213 | C2×#1419 | — | 8 | 4 | no | — |
| 214 | C2×#1418 | — | 4 | 4 | no | — |
| 215 | C2×#1418 | — | 4 | 4 | no | — |
| 216 | C2×#1418 | — | 8 | 4 | no | — |
| 217 | C2×#1398 | — | 2 | 4 | no | — |
| 218 | C2×#1398 | — | 4 | 4 | no | — |
| 219 | C2×#1398 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 220 | C2×#1398 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 221 | C4×M64 | C4×D4 | 1 | 2 | yes | — |
| 222 | C4×M64 | C4×D4 | 1 | 2 | yes | — |
| 223 | C4×M64 | C4×D4 | 1 | 2 | yes | — |
| 224 | C4×M64 | C4×D4 | 1 | 2 | yes | — |
| 225 | #13242 | — | 4 | 4 | no | — |
| 226 | #13242 | — | 4 | 4 | no | — |
| 227 | #13239 | — | 4 | 4 | no | — |
| 228 | #13239 | — | 4 | 4 | no | — |
| 229 | #13239 | — | 16 | 4 | no | — |
| 230 | #13208 | — | 4 | 4 | no | — |
| 231 | #13202 | — | 4 | 4 | no | — |
| 232 | #13202 | — | 8 | 4 | no | — |
| 233 | #13197 | — | 8 | 4 | no | — |
| 234 | #12982 | — | 16 | 2 | no | — |
| 235 | #12909 | — | 2 | 4 | no | — |
| 236 | #12906 | — | 2 | 4 | no | — |
| 237 | #12906 | — | 8 | 2 | no | — |
| 238 | C4×#364 | — | 2 | 4 | no | — |
| 239 | C4×#346 | — | 2 | 2 | no | — |
| 240 | C4×#346 | C22×D4 | 1 | 2 | yes | — |
| 241 | #12521 | — | 4 | 1 | no | — |
| 242 | #12518 | — | 2 | 4 | no | — |
| 243 | #12517 | — | 2 | 2 | no | — |
| 244 | #12516 | C22×C8 | 1 | 2 | yes | — |
| 245 | #12515 | — | 2 | 4 | no | — |
| 246 | #12515 | — | 2 | 2 | no | — |
| 247 | #12515 | — | 4 | 2 | no | — |
| 248 | #12515 | — | 4 | 2 | no | — |
| 249 | #12515 | — | 4 | 1 | no | — |
| 250 | #12515 | — | 8 | 2 | no | — |
| 251 | #12515 | C22×C8 | 1 | 4 | yes | — |
| 252 | #12515 | C22×C8 | 1 | 2 | yes | — |
| 253 | #12509 | — | 4 | 2 | no | — |
| 254 | #12503 | — | 8 | 2 | no | — |
| 255 | #12086 | — | 16 | 4 | no | — |
| 256 | #12068 | — | 8 | 8 | no | — |
| 257 | #12068 | — | 16 | 4 | no | — |
| 258 | #12067 | — | 8 | 8 | no | — |
| 259 | #12067 | — | 16 | 4 | no | — |
| 260 | #12045 | — | 16 | 4 | no | — |
| 261 | #12023 | — | 8 | 2 | no | — |
| 262 | C2×#1369 | — | 2 | 4 | no | — |
| 263 | #11999 | — | 2 | 4 | no | — |
| 264 | #11671 | — | 8 | 4 | no | — |
| 265 | #11604 | — | 8 | 4 | no | — |
| 266 | #11602 | — | 8 | 4 | no | — |
| 267 | #11599 | — | 8 | 4 | no | — |
| 268 | #11593 | — | 8 | 4 | no | — |
| 269 | #11405 | — | 4 | 4 | no | — |
| 270 | C2×#1311 | — | 2 | 2 | no | — |
| 271 | C2×#1311 | C2×#41 | 1 | 2 | yes | — |
| 272 | C2×C8×C16 | — | 2 | 1 | no | — |
| 273 | C2×C8×C16 | — | 2 | 1 | no | — |
| 274 | C2×C8×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 275 | C2×C8×C16 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 276 | #9856 | — | 4 | 2 | no | — |
| 277 | #9844 | — | 8 | 2 | no | — |
| 278 | #9824 | — | 4 | 2 | no | — |
| 279 | #9824 | — | 8 | 2 | no | — |
| 280 | #9668 | — | 8 | 4 | no | — |
| 281 | #8959 | — | 16 | 2 | no | — |
| 282 | #8823 | — | 2 | 2 | no | — |
| 283 | #8818 | — | 2 | 2 | no | — |
| 284 | #8266 | — | 2 | 4 | no | — |
| 285 | C4×C82 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 286 | #7468 | — | 4 | 4 | no | — |
| 287 | #7457 | — | 4 | 8 | no | — |
| 288 | #7456 | — | 4 | 4 | no | — |
| 289 | #7456 | — | 4 | 4 | no | — |
| 290 | #7390 | — | 8 | 8 | no | — |
| 291 | #7390 | — | 16 | 4 | no | — |
| 292 | #7389 | — | 8 | 8 | no | — |
| 293 | #7389 | — | 16 | 4 | no | — |
| 294 | #7333 | — | 8 | 8 | no | — |
| 295 | #7330 | — | 2 | 4 | no | — |
| 296 | #7330 | — | 4 | 2 | no | — |
| 297 | #7329 | — | 2 | 2 | no | — |
| 298 | #7329 | #131 | 1 | 4 | yes | — |
| 299 | C8×C32 | — | 2 | 2 | no | — |
| 300 | C8×C32 | C22×C8 | 1 | 4 | yes | — |
| 301 | #7161 | — | 2 | 4 | no | — |
| 302 | #7157 | — | 2 | 4 | no | — |
| 303 | #7140 | — | 4 | 4 | no | — |
| 304 | #7107 | — | 16 | 2 | no | — |
| 305 | #7106 | — | 16 | 2 | no | — |
| 306 | #7052 | — | 2 | 2 | no | — |
| 307 | #7052 | — | 4 | 2 | no | — |
| 308 | C162 | — | 2 | 1 | no | — |
| 309 | C162 | C22×C8 | 1 | 1 | yes | characteristic |
| 310 | C162 | C22×C8 | 1 | 1 | yes | characteristic |
| 311 | C2×#508 | — | 4 | 4 | no | — |
| 312 | C2×#508 | — | 4 | 4 | no | — |
| 313 | C22×D16 | — | 4 | 4 | no | — |
| 314 | C22×D16 | — | 4 | 4 | no | — |
| 315 | C22×D16 | — | 16 | 4 | no | — |
| 316 | #3407 | — | 16 | 2 | no | — |
| 317 | #3169 | — | 8 | 2 | no | — |
| 318 | #3147 | — | 4 | 2 | no | — |
| 319 | C2×#493 | — | 4 | 2 | no | — |
| 320 | C2×#493 | — | 8 | 2 | no | — |
| 321 | #2972 | — | 16 | 2 | no | — |
| 322 | C2×#443 | — | 8 | 4 | no | — |
| 323 | C2×C4×D8 | — | 8 | 4 | no | — |
| 324 | C2×C4×D8 | — | 16 | 4 | no | — |
| 325 | #2931 | — | 8 | 2 | no | — |
| 326 | C4×#127 | — | 8 | 2 | no | — |
| 327 | #2263 | — | 8 | 8 | no | — |
| 328 | #2263 | — | 8 | 8 | no | — |
| 329 | #2263 | — | 16 | 4 | no | — |
| 330 | #2263 | — | 16 | 4 | no | — |
| 331 | #2263 | — | 16 | 8 | no | — |
| 332 | #2263 | — | 16 | 8 | no | — |
| 333 | C2×SD64 | — | 4 | 8 | no | — |
| 334 | C2×SD64 | — | 4 | 8 | no | — |
| 335 | C2×SD64 | — | 8 | 8 | no | — |
| 336 | C2×D32 | — | 4 | 8 | no | — |
| 337 | C2×D32 | — | 4 | 8 | no | — |
| 338 | C2×D32 | — | 8 | 8 | no | — |
| 339 | C2×M64 | — | 2 | 2 | no | — |
| 340 | C2×M64 | — | 2 | 2 | no | — |
| 341 | C2×M64 | — | 8 | 4 | no | — |
| 342 | C2×M64 | #442 | 1 | 4 | yes | — |
| 343 | C2×M64 | #442 | 1 | 2 | yes | — |
| 344 | C2×M64 | #442 | 1 | 2 | yes | — |
| 345 | #2252 | — | 8 | 2 | no | — |
| 346 | #2249 | — | 4 | 4 | no | — |
| 347 | #2249 | — | 4 | 4 | no | — |
| 348 | #2248 | — | 4 | 4 | no | — |
| 349 | #2247 | — | 2 | 4 | no | — |
| 350 | #2246 | — | 2 | 4 | no | — |
| 351 | #2246 | — | 2 | 8 | no | — |
| 352 | #2246 | — | 4 | 4 | no | — |
| 353 | #2246 | — | 4 | 4 | no | — |
| 354 | #2246 | — | 4 | 4 | no | — |
| 355 | #2246 | — | 8 | 4 | no | — |
| 356 | #2246 | — | 8 | 4 | no | — |
| 357 | #2246 | — | 8 | 2 | no | — |
| 358 | #2246 | — | 16 | 4 | no | — |
| 359 | #2240 | — | 8 | 4 | no | — |
| 360 | #2215 | — | 16 | 4 | no | — |
| 361 | #2179 | — | 8 | 4 | no | — |
| 362 | #2179 | — | 8 | 4 | no | — |
| 363 | #2179 | — | 8 | 4 | no | — |
| 364 | #2179 | — | 8 | 4 | no | — |
| 365 | #2179 | — | 16 | 4 | no | — |
| 366 | #2179 | — | 16 | 4 | no | — |
| 367 | #2177 | — | 8 | 4 | no | — |
| 368 | #2177 | — | 8 | 4 | no | — |
| 369 | #2177 | — | 8 | 4 | no | — |
| 370 | #2177 | — | 8 | 4 | no | — |
| 371 | #2177 | — | 16 | 4 | no | — |
| 372 | #2177 | — | 16 | 4 | no | — |
| 373 | #2177 | — | 32 | 16 | no | — |
| 374 | C4×D16 | — | 16 | 4 | no | — |
| 375 | #2171 | — | 16 | 8 | no | — |
| 376 | #2170 | — | 32 | 4 | no | — |
| 377 | C2×#368 | — | 4 | 4 | no | — |
| 378 | C2×#368 | — | 4 | 4 | no | — |
| 379 | C2×#367 | — | 4 | 4 | no | — |
| 380 | C2×#367 | — | 4 | 4 | no | — |
| 381 | C2×#367 | — | 16 | 4 | no | — |
| 382 | C2×#364 | — | 4 | 4 | no | — |
| 383 | C2×#359 | — | 8 | 4 | no | — |
| 384 | C2×#359 | — | 8 | 4 | no | — |
| 385 | C2×#357 | — | 8 | 4 | no | — |
| 386 | C2×#357 | — | 8 | 4 | no | — |
| 387 | C2×#357 | — | 16 | 8 | no | — |
| 388 | #2117 | — | 16 | 4 | no | — |
| 389 | #2115 | — | 16 | 2 | no | — |
| 390 | C4×M32 | — | 4 | 4 | no | — |
| 391 | C2×#346 | — | 4 | 4 | no | — |
| 392 | C2×#346 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 393 | C2×#346 | #576 | 1 | 4 | yes | — |
| 394 | C2×C4×C16 | — | 2 | 2 | no | — |
| 395 | C2×C4×C16 | — | 2 | 2 | no | — |
| 396 | C2×C4×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 397 | C2×C4×C16 | #550 | 1 | 2 | yes | — |
| 398 | #1974 | — | 8 | 4 | no | — |
| 399 | #1970 | — | 8 | 4 | no | — |
| 400 | #1970 | — | 16 | 4 | no | — |
| 401 | #1962 | — | 8 | 2 | no | — |
| 402 | #1957 | — | 8 | 2 | no | — |
| 403 | #1957 | — | 16 | 2 | no | — |
| 404 | #1848 | — | 4 | 2 | no | — |
| 405 | #1845 | — | 4 | 2 | no | — |
| 406 | #1845 | — | 8 | 2 | no | — |
| 407 | C42×C8 | — | 2 | 1 | no | — |
| 408 | C42×C8 | D42 | 1 | 1 | yes | characteristic |
| 409 | #1713 | — | 2 | 2 | no | — |
| 410 | #1712 | — | 2 | 4 | no | — |
| 411 | #1712 | — | 2 | 2 | no | — |
| 412 | #1712 | — | 4 | 2 | no | — |
| 413 | #1712 | — | 8 | 2 | no | — |
| 414 | #1709 | — | 4 | 2 | no | — |
| 415 | #1706 | — | 8 | 2 | no | — |
| 416 | #1589 | — | 16 | 4 | no | — |
| 417 | #1580 | — | 16 | 8 | no | — |
| 418 | C8×D8 | — | 16 | 4 | no | — |
| 419 | C8×D8 | — | 32 | 4 | no | — |
| 420 | #1567 | — | 8 | 2 | no | — |
| 421 | #1564 | — | 4 | 4 | no | — |
| 422 | #1492 | — | 16 | 2 | no | — |
| 423 | #1478 | — | 16 | 4 | no | — |
| 424 | #1460 | — | 16 | 2 | no | — |
| 425 | #1450 | — | 4 | 4 | no | — |
| 426 | C2×C82 | — | 2 | 1 | no | — |
| 427 | C2×C82 | #518 | 1 | 1 | yes | characteristic |
| 428 | C2×C82 | #559 | 1 | 1 | yes | characteristic |
| 429 | #1426 | — | 8 | 8 | no | — |
| 430 | #1426 | — | 16 | 4 | no | — |
| 431 | #1426 | — | 16 | 8 | no | — |
| 432 | #1422 | — | 8 | 4 | no | — |
| 433 | #1422 | — | 8 | 4 | no | — |
| 434 | #1419 | — | 8 | 8 | no | — |
| 435 | #1419 | — | 16 | 4 | no | — |
| 436 | #1419 | — | 16 | 8 | no | — |
| 437 | #1418 | — | 8 | 8 | no | — |
| 438 | #1418 | — | 16 | 4 | no | — |
| 439 | #1418 | — | 16 | 8 | no | — |
| 440 | #1398 | — | 2 | 8 | no | — |
| 441 | #1398 | — | 4 | 4 | no | — |
| 442 | #1398 | — | 4 | 8 | no | — |
| 443 | #1398 | — | 8 | 4 | no | — |
| 444 | #1398 | — | 8 | 4 | no | — |
| 445 | #1397 | — | 2 | 2 | no | — |
| 446 | #1397 | — | 2 | 2 | no | — |
| 447 | #1397 | — | 2 | 2 | no | — |
| 448 | #1397 | #444 | 1 | 4 | yes | — |
| 449 | C4×C32 | — | 2 | 2 | no | — |
| 450 | C4×C32 | — | 2 | 2 | no | — |
| 451 | C4×C32 | C8×D4 | 1 | 4 | yes | — |
| 452 | C4×C32 | C8×D4 | 1 | 4 | yes | — |
| 453 | #1376 | — | 4 | 4 | no | — |
| 454 | #1372 | — | 16 | 4 | no | — |
| 455 | #1369 | — | 4 | 4 | no | — |
| 456 | #1369 | — | 4 | 4 | no | — |
| 457 | #1368 | — | 4 | 4 | no | — |
| 458 | #1368 | — | 4 | 4 | no | — |
| 459 | #1336 | — | 16 | 8 | no | — |
| 460 | #1335 | — | 32 | 4 | no | — |
| 461 | #1333 | — | 16 | 8 | no | — |
| 462 | #1331 | — | 16 | 8 | no | — |
| 463 | #1331 | — | 32 | 4 | no | — |
| 464 | #1313 | — | 8 | 4 | no | — |
| 465 | #1313 | — | 8 | 4 | no | — |
| 466 | #1311 | — | 2 | 2 | no | — |
| 467 | #1311 | — | 2 | 2 | no | — |
| 468 | #1311 | — | 4 | 4 | no | — |
| 469 | C8×C16 | — | 2 | 2 | no | — |
| 470 | C8×C16 | — | 2 | 1 | no | — |
| 471 | C8×C16 | — | 2 | 1 | no | — |
| 472 | C8×C16 | — | 4 | 1 | no | — |
| 473 | C8×C16 | — | 4 | 1 | no | — |
| 474 | C8×C16 | — | 4 | 1 | no | — |
| 475 | C8×C16 | C23×C8 | 1 | 1 | yes | characteristic |
| 476 | C8×C16 | C2×#131 | 1 | 2 | yes | — |
| 477 | C8×C16 | #568 | 1 | 1 | yes | characteristic |
| 478 | #1276 | — | 4 | 4 | no | — |
| 479 | C2×#135 | — | 8 | 4 | no | — |
| 480 | C22×D8 | — | 8 | 4 | no | — |
| 481 | C22×D8 | — | 16 | 4 | no | — |
| 482 | C2×#131 | — | 16 | 2 | no | — |
| 483 | #532 | — | 8 | 2 | no | — |
| 484 | C2×#127 | — | 8 | 2 | no | — |
| 485 | C2×C4×D4 | — | 16 | 2 | no | — |
| 486 | C2×C4×D4 | — | 32 | 2 | no | — |
| 487 | #508 | — | 8 | 4 | no | — |
| 488 | #508 | — | 8 | 4 | no | — |
| 489 | #508 | — | 8 | 4 | no | — |
| 490 | #508 | — | 8 | 4 | no | — |
| 491 | #508 | — | 16 | 4 | no | — |
| 492 | #508 | — | 16 | 4 | no | — |
| 493 | C2×Q32 | — | 4 | 4 | no | — |
| 494 | C2×Q32 | — | 4 | 4 | no | — |
| 495 | C2×SD32 | — | 8 | 4 | no | — |
| 496 | C2×SD32 | — | 8 | 4 | no | — |
| 497 | C2×D16 | — | 4 | 8 | no | — |
| 498 | C2×D16 | — | 4 | 4 | no | — |
| 499 | C2×D16 | — | 4 | 8 | no | — |
| 500 | C2×D16 | — | 4 | 4 | no | — |
| 501 | C2×D16 | — | 8 | 4 | no | — |
| 502 | C2×D16 | — | 8 | 4 | no | — |
| 503 | C2×D16 | — | 8 | 4 | no | — |
| 504 | C2×D16 | — | 8 | 4 | no | — |
| 505 | C2×D16 | — | 8 | 4 | no | — |
| 506 | C2×D16 | — | 8 | 4 | no | — |
| 507 | C2×D16 | — | 16 | 4 | no | — |
| 508 | C2×D16 | — | 16 | 4 | no | — |
| 509 | C2×D16 | — | 16 | 8 | no | — |
| 510 | C2×D16 | — | 16 | 8 | no | — |
| 511 | C2×D16 | — | 16 | 4 | no | — |
| 512 | C2×D16 | — | 32 | 8 | no | — |
| 513 | C2×D16 | — | 32 | 8 | no | — |
| 514 | #504 | — | 32 | 8 | no | — |
| 515 | C2×M32 | — | 8 | 4 | no | — |
| 516 | C2×M32 | — | 64 | 2 | no | — |
| 517 | C22×C16 | — | 2 | 4 | no | — |
| 518 | C22×C16 | — | 4 | 2 | no | — |
| 519 | C22×C16 | C2×#442 | 1 | 2 | yes | — |
| 520 | C22×C16 | #2948 | 1 | 2 | yes | — |
| 521 | C22×C16 | #3399 | 1 | 4 | yes | — |
| 522 | #500 | — | 8 | 2 | no | — |
| 523 | #495 | — | 8 | 4 | no | — |
| 524 | #494 | — | 4 | 2 | no | — |
| 525 | #493 | — | 4 | 4 | no | — |
| 526 | #493 | — | 4 | 2 | no | — |
| 527 | #493 | — | 8 | 4 | no | — |
| 528 | #493 | — | 8 | 2 | no | — |
| 529 | #493 | — | 8 | 4 | no | — |
| 530 | #493 | — | 8 | 2 | no | — |
| 531 | #493 | — | 16 | 2 | no | — |
| 532 | #493 | — | 16 | 4 | no | — |
| 533 | #492 | — | 8 | 2 | no | — |
| 534 | #486 | — | 16 | 2 | no | — |
| 535 | #466 | — | 16 | 4 | no | — |
| 536 | #443 | — | 16 | 4 | no | — |
| 537 | #443 | — | 16 | 4 | no | — |
| 538 | #443 | — | 16 | 4 | no | — |
| 539 | #443 | — | 16 | 4 | no | — |
| 540 | C4×D8 | — | 16 | 4 | no | — |
| 541 | C4×D8 | — | 16 | 4 | no | — |
| 542 | C4×D8 | — | 16 | 4 | no | — |
| 543 | C4×D8 | — | 16 | 4 | no | — |
| 544 | C4×D8 | — | 16 | 4 | no | — |
| 545 | C4×D8 | — | 32 | 16 | no | — |
| 546 | #436 | — | 32 | 2 | no | — |
| 547 | C8×D4 | — | 32 | 2 | no | — |
| 548 | C8×D4 | — | 32 | 8 | no | — |
| 549 | #431 | — | 8 | 4 | no | — |
| 550 | C2×#108 | — | 8 | 4 | no | — |
| 551 | C2×#107 | — | 8 | 4 | no | — |
| 552 | C2×#107 | — | 16 | 4 | no | — |
| 553 | #423 | — | 8 | 2 | no | — |
| 554 | C2×#104 | — | 16 | 4 | no | — |
| 555 | C2×#102 | — | 16 | 4 | no | — |
| 556 | C2×#102 | — | 32 | 4 | no | — |
| 557 | #408 | — | 16 | 2 | no | — |
| 558 | C2×C22⋊C8 | — | 64 | 2 | no | — |
| 559 | C2×C4×C8 | — | 2 | 1 | no | — |
| 560 | C2×C4×C8 | — | 2 | 1 | no | — |
| 561 | C2×C4×C8 | — | 4 | 2 | no | — |
| 562 | C2×C4×C8 | #2366 | 1 | 1 | yes | characteristic |
| 563 | C2×C4×C8 | #3274 | 1 | 4 | yes | — |
| 564 | C2×C4×C8 | #3292 | 1 | 1 | yes | characteristic |
| 565 | #390 | — | 16 | 2 | no | — |
| 566 | #390 | — | 32 | 2 | no | — |
| 567 | #384 | — | 8 | 2 | no | — |
| 568 | C43 | #3292 | 1 | 1 | yes | characteristic |
| 569 | SD64 | — | 8 | 16 | no | — |
| 570 | SD64 | — | 16 | 8 | no | — |
| 571 | SD64 | — | 16 | 16 | no | — |
| 572 | D32 | — | 8 | 16 | no | — |
| 573 | D32 | — | 16 | 8 | no | — |
| 574 | D32 | — | 16 | 16 | no | — |
| 575 | M64 | — | 2 | 8 | no | — |
| 576 | M64 | — | 2 | 4 | no | — |
| 577 | M64 | — | 2 | 4 | no | — |
| 578 | M64 | — | 2 | 4 | no | — |
| 579 | M64 | — | 4 | 4 | no | — |
| 580 | M64 | — | 16 | 4 | no | — |
| 581 | M64 | — | 16 | 4 | no | — |
| 582 | M64 | AGL(1,ℤ/16) | 1 | 8 | yes | — |
| 583 | C2×C32 | — | 2 | 4 | no | — |
| 584 | C2×C32 | — | 2 | 4 | no | — |
| 585 | C2×C32 | — | 4 | 2 | no | — |
| 586 | C2×C32 | — | 16 | 4 | no | — |
| 587 | C2×C32 | #1580 | 1 | 4 | yes | — |
| 588 | C2×C32 | #1580 | 1 | 4 | yes | — |
| 589 | #368 | — | 8 | 4 | no | — |
| 590 | #368 | — | 8 | 4 | no | — |
| 591 | #368 | — | 16 | 4 | no | — |
| 592 | #367 | — | 8 | 4 | no | — |
| 593 | #367 | — | 8 | 4 | no | — |
| 594 | #367 | — | 16 | 4 | no | — |
| 595 | #367 | — | 32 | 8 | no | — |
| 596 | #366 | — | 16 | 4 | no | — |
| 597 | #364 | — | 8 | 4 | no | — |
| 598 | #364 | — | 8 | 4 | no | — |
| 599 | #359 | — | 16 | 4 | no | — |
| 600 | #359 | — | 16 | 4 | no | — |
| 601 | #359 | — | 32 | 4 | no | — |
| 602 | #357 | — | 16 | 4 | no | — |
| 603 | #357 | — | 16 | 4 | no | — |
| 604 | #357 | — | 16 | 8 | no | — |
| 605 | #357 | — | 32 | 4 | no | — |
| 606 | #357 | — | 32 | 16 | no | — |
| 607 | #350 | — | 32 | 8 | no | — |
| 608 | #349 | — | 64 | 2 | no | — |
| 609 | #346 | — | 2 | 4 | no | — |
| 610 | #346 | — | 2 | 4 | no | — |
| 611 | #346 | — | 4 | 4 | no | — |
| 612 | #346 | — | 8 | 4 | no | — |
| 613 | #346 | — | 8 | 8 | no | — |
| 614 | C4×C16 | — | 2 | 2 | no | — |
| 615 | C4×C16 | — | 2 | 2 | no | — |
| 616 | C4×C16 | — | 2 | 4 | no | — |
| 617 | C4×C16 | — | 2 | 2 | no | — |
| 618 | C4×C16 | — | 2 | 2 | no | — |
| 619 | C4×C16 | — | 4 | 2 | no | — |
| 620 | C4×C16 | — | 4 | 2 | no | — |
| 621 | C4×C16 | — | 8 | 4 | no | — |
| 622 | C4×C16 | C2×C8×D4 | 1 | 2 | yes | — |
| 623 | C4×C16 | #2935 | 1 | 2 | yes | — |
| 624 | C4×C16 | C2×#444 | 1 | 2 | yes | — |
| 625 | C4×C16 | #2957 | 1 | 2 | yes | — |
| 626 | #335 | — | 8 | 4 | no | — |
| 627 | #335 | — | 16 | 4 | no | — |
| 628 | #334 | — | 8 | 4 | no | — |
| 629 | D4⋊C8 | — | 32 | 4 | no | — |
| 630 | D4⋊C8 | — | 32 | 8 | no | — |
| 631 | #323 | — | 64 | 2 | no | — |
| 632 | #322 | — | 8 | 4 | no | — |
| 633 | C82 | — | 2 | 1 | no | — |
| 634 | C82 | — | 2 | 2 | no | — |
| 635 | C82 | — | 4 | 2 | no | — |
| 636 | C82 | — | 8 | 4 | no | — |
| 637 | C82 | #2972 | 1 | 1 | yes | characteristic |
| 638 | C82 | #2979 | 1 | 1 | yes | characteristic |
| 639 | C2×#41 | — | 16 | 2 | no | — |
| 640 | C22×D4 | — | 16 | 2 | no | — |
| 641 | C22×D4 | — | 32 | 2 | no | — |
| 642 | C23×C4 | — | 32 | 2 | no | — |
| 643 | #135 | — | 16 | 4 | no | — |
| 644 | #135 | — | 16 | 4 | no | — |
| 645 | #135 | — | 16 | 4 | no | — |
| 646 | #135 | — | 16 | 4 | no | — |
| 647 | C2×Q16 | — | 8 | 4 | no | — |
| 648 | C2×SD16 | — | 16 | 4 | no | — |
| 649 | C2×D8 | — | 8 | 8 | no | — |
| 650 | C2×D8 | — | 8 | 4 | no | — |
| 651 | C2×D8 | — | 16 | 8 | no | — |
| 652 | C2×D8 | — | 16 | 4 | no | — |
| 653 | C2×D8 | — | 16 | 4 | no | — |
| 654 | C2×D8 | — | 16 | 4 | no | — |
| 655 | C2×D8 | — | 16 | 4 | no | — |
| 656 | C2×D8 | — | 16 | 4 | no | — |
| 657 | C2×D8 | — | 16 | 4 | no | — |
| 658 | C2×D8 | — | 32 | 4 | no | — |
| 659 | C2×D8 | — | 32 | 8 | no | — |
| 660 | C2×D8 | — | 32 | 8 | no | — |
| 661 | #131 | — | 32 | 4 | no | — |
| 662 | #131 | — | 32 | 4 | no | — |
| 663 | C2×M16 | — | 16 | 2 | no | — |
| 664 | C2×M16 | — | 32 | 2 | no | — |
| 665 | C22×C8 | — | 2 | 2 | no | — |
| 666 | C22×C8 | — | 4 | 1 | no | — |
| 667 | C22×C8 | — | 32 | 2 | no | — |
| 668 | C22×C8 | — | 64 | 4 | no | — |
| 669 | C22×C8 | #20310 | 1 | 2 | yes | — |
| 670 | C22×C8 | #23188 | 1 | 2 | yes | — |
| 671 | C4⋊Q8 | — | 8 | 2 | no | — |
| 672 | #127 | — | 8 | 4 | no | — |
| 673 | #127 | — | 8 | 2 | no | — |
| 674 | #127 | — | 16 | 2 | no | — |
| 675 | #127 | — | 32 | 2 | no | — |
| 676 | #124 | — | 16 | 2 | no | — |
| 677 | #121 | — | 32 | 2 | no | — |
| 678 | C4×D4 | — | 32 | 2 | no | — |
| 679 | C4×D4 | — | 32 | 4 | no | — |
| 680 | C4×D4 | — | 32 | 4 | no | — |
| 681 | C4×D4 | — | 64 | 8 | no | — |
| 682 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 683 | C2×C4⋊C4 | — | 32 | 2 | no | — |
| 684 | C2×C22⋊C4 | — | 32 | 2 | no | — |
| 685 | C2×C22⋊C4 | — | 64 | 2 | no | — |
| 686 | C2×C42 | — | 4 | 1 | no | — |
| 687 | C2×C42 | #20310 | 1 | 2 | yes | — |
| 688 | C2×C42 | #23201 | 1 | 1 | yes | characteristic |
| 689 | Q32 | — | 8 | 4 | no | — |
| 690 | Q32 | — | 8 | 4 | no | — |
| 691 | Q32 | — | 16 | 4 | no | — |
| 692 | SD32 | — | 16 | 4 | no | — |
| 693 | SD32 | — | 16 | 4 | no | — |
| 694 | SD32 | — | 32 | 4 | no | — |
| 695 | D16 | — | 8 | 4 | no | — |
| 696 | D16 | — | 8 | 8 | no | — |
| 697 | D16 | — | 8 | 4 | no | — |
| 698 | D16 | — | 8 | 8 | no | — |
| 699 | D16 | — | 16 | 4 | no | — |
| 700 | D16 | — | 16 | 8 | no | — |
| 701 | D16 | — | 16 | 4 | no | — |
| 702 | D16 | — | 16 | 4 | no | — |
| 703 | D16 | — | 32 | 4 | no | — |
| 704 | D16 | — | 32 | 8 | no | — |
| 705 | D16 | — | 32 | 16 | no | — |
| 706 | D16 | — | 32 | 16 | no | — |
| 707 | M32 | — | 16 | 4 | no | — |
| 708 | M32 | — | 16 | 4 | no | — |
| 709 | M32 | — | 64 | 4 | no | — |
| 710 | C2×C16 | — | 2 | 4 | no | — |
| 711 | C2×C16 | — | 2 | 4 | no | — |
| 712 | C2×C16 | — | 2 | 4 | no | — |
| 713 | C2×C16 | — | 2 | 4 | no | — |
| 714 | C2×C16 | — | 2 | 4 | no | — |
| 715 | C2×C16 | — | 2 | 4 | no | — |
| 716 | C2×C16 | — | 4 | 8 | no | — |
| 717 | C2×C16 | — | 8 | 2 | no | — |
| 718 | C2×C16 | — | 8 | 4 | no | — |
| 719 | C2×C16 | — | 16 | 4 | no | — |
| 720 | C2×C16 | — | 64 | 4 | no | — |
| 721 | C2×C16 | C2×#1580 | 1 | 2 | yes | — |
| 722 | C2×C16 | #17854 | 1 | 2 | yes | — |
| 723 | C2×C16 | #18073 | 1 | 2 | yes | — |
| 724 | C2×C16 | #18091 | 1 | 2 | yes | — |
| 725 | C2×C16 | C2×AGL(1,ℤ/16) | 1 | 4 | yes | — |
| 726 | C2×C16 | #33471 | 1 | 4 | yes | — |
| 727 | #108 | — | 16 | 4 | no | — |
| 728 | #108 | — | 16 | 4 | no | — |
| 729 | #107 | — | 16 | 4 | no | — |
| 730 | #107 | — | 16 | 4 | no | — |
| 731 | #107 | — | 16 | 4 | no | — |
| 732 | #107 | — | 32 | 8 | no | — |
| 733 | C4⋊C8 | — | 16 | 4 | no | — |
| 734 | C4⋊C8 | — | 32 | 2 | no | — |
| 735 | #104 | — | 32 | 4 | no | — |
| 736 | #104 | — | 32 | 4 | no | — |
| 737 | #102 | — | 32 | 4 | no | — |
| 738 | #102 | — | 32 | 4 | no | — |
| 739 | #102 | — | 32 | 4 | no | — |
| 740 | #102 | — | 64 | 8 | no | — |
| 741 | C22⋊C8 | — | 16 | 4 | no | — |
| 742 | C22⋊C8 | — | 64 | 2 | no | — |
| 743 | C22⋊C8 | — | 64 | 4 | no | — |
| 744 | C4×C8 | — | 2 | 2 | no | — |
| 745 | C4×C8 | — | 2 | 4 | no | — |
| 746 | C4×C8 | — | 2 | 4 | no | — |
| 747 | C4×C8 | — | 2 | 1 | no | — |
| 748 | C4×C8 | — | 2 | 1 | no | — |
| 749 | C4×C8 | — | 4 | 1 | no | — |
| 750 | C4×C8 | — | 4 | 1 | no | — |
| 751 | C4×C8 | — | 4 | 1 | no | — |
| 752 | C4×C8 | — | 8 | 4 | no | — |
| 753 | C4×C8 | — | 16 | 4 | no | — |
| 754 | C4×C8 | #23173 | 1 | 1 | yes | characteristic |
| 755 | C4×C8 | #23180 | 1 | 2 | yes | — |
| 756 | C4×C8 | #23196 | 1 | 1 | yes | characteristic |
| 757 | C32 | — | 2 | 8 | no | — |
| 758 | C32 | — | 2 | 4 | no | — |
| 759 | C32 | — | 4 | 4 | no | — |
| 760 | C32 | — | 8 | 2 | no | — |
| 761 | C32 | — | 32 | 4 | no | — |
| 762 | C32 | #12067 | 1 | 8 | yes | — |
| 763 | C24 | — | 32 | 2 | no | — |
| 764 | #41 | — | 32 | 4 | no | — |
| 765 | #41 | — | 32 | 4 | no | — |
| 766 | C2×Q8 | — | 16 | 2 | no | — |
| 767 | C2×D4 | — | 16 | 2 | no | — |
| 768 | C2×D4 | — | 16 | 4 | no | — |
| 769 | C2×D4 | — | 32 | 2 | no | — |
| 770 | C2×D4 | — | 32 | 4 | no | — |
| 771 | C2×D4 | — | 32 | 2 | no | — |
| 772 | C2×D4 | — | 32 | 4 | no | — |
| 773 | C2×D4 | — | 32 | 4 | no | — |
| 774 | C2×D4 | — | 32 | 2 | no | — |
| 775 | C2×D4 | — | 64 | 2 | no | — |
| 776 | C2×D4 | — | 64 | 4 | no | — |
| 777 | C2×D4 | — | 64 | 4 | no | — |
| 778 | C22×C4 | — | 2 | 1 | no | — |
| 779 | C22×C4 | — | 2 | 2 | no | — |
| 780 | C22×C4 | — | 32 | 2 | no | — |
| 781 | C22×C4 | — | 32 | 2 | no | — |
| 782 | C22×C4 | — | 64 | 2 | no | — |
| 783 | C22×C4 | — | 64 | 2 | no | — |
| 784 | C22×C4 | — | 128 | 4 | no | — |
| 785 | C22×C4 | #231631 | 1 | 1 | yes | characteristic |
| 786 | Q16 | — | 16 | 4 | no | — |
| 787 | Q16 | — | 16 | 4 | no | — |
| 788 | SD16 | — | 32 | 4 | no | — |
| 789 | SD16 | — | 32 | 4 | no | — |
| 790 | D8 | — | 16 | 8 | no | — |
| 791 | D8 | — | 16 | 4 | no | — |
| 792 | D8 | — | 16 | 8 | no | — |
| 793 | D8 | — | 16 | 4 | no | — |
| 794 | D8 | — | 32 | 16 | no | — |
| 795 | D8 | — | 32 | 8 | no | — |
| 796 | D8 | — | 32 | 4 | no | — |
| 797 | D8 | — | 32 | 4 | no | — |
| 798 | D8 | — | 64 | 8 | no | — |
| 799 | M16 | — | 32 | 4 | no | — |
| 800 | M16 | — | 64 | 4 | no | — |
| 801 | C2×C8 | — | 256 | 4 | no | — |
| 802 | C2×C8 | — | 2 | 2 | no | — |
| 803 | C2×C8 | — | 2 | 2 | no | — |
| 804 | C2×C8 | — | 2 | 4 | no | — |
| 805 | C2×C8 | — | 2 | 2 | no | — |
| 806 | C2×C8 | — | 4 | 4 | no | — |
| 807 | C2×C8 | — | 8 | 1 | no | — |
| 808 | C2×C8 | — | 8 | 2 | no | — |
| 809 | C2×C8 | — | 32 | 4 | no | — |
| 810 | C2×C8 | — | 32 | 2 | no | — |
| 811 | C2×C8 | — | 64 | 2 | no | — |
| 812 | C2×C8 | — | 64 | 2 | no | — |
| 813 | C2×C8 | #231412 | 1 | 2 | yes | — |
| 814 | C2×C8 | #231542 | 1 | 2 | yes | — |
| 815 | C2×C8 | #498578 | 1 | 4 | yes | — |
| 816 | C2×C8 | #498582 | 1 | 4 | yes | — |
| 817 | C4⋊C4 | — | 32 | 2 | no | — |
| 818 | C4⋊C4 | — | 32 | 4 | no | — |
| 819 | C4⋊C4 | — | 64 | 4 | no | — |
| 820 | C22⋊C4 | — | 64 | 2 | no | — |
| 821 | C22⋊C4 | — | 64 | 4 | no | — |
| 822 | C22⋊C4 | — | 128 | 4 | no | — |
| 823 | C42 | — | 2 | 1 | no | — |
| 824 | C42 | — | 2 | 4 | no | — |
| 825 | C42 | — | 8 | 2 | no | — |
| 826 | C42 | #231469 | 1 | 1 | yes | characteristic |
| 827 | C42 | #231729 | 1 | 1 | yes | characteristic |
| 828 | C16 | — | 2 | 8 | no | — |
| 829 | C16 | — | 2 | 2 | no | — |
| 830 | C16 | — | 2 | 2 | no | — |
| 831 | C16 | — | 4 | 4 | no | — |
| 832 | C16 | — | 4 | 4 | no | — |
| 833 | C16 | — | 16 | 2 | no | — |
| 834 | C16 | — | 32 | 4 | no | — |
| 835 | C16 | C2×#12067 | 1 | 2 | yes | — |
| 836 | C16 | #483596 | 1 | 2 | yes | — |
| 837 | C16 | #484147 | 1 | 4 | yes | — |
| 838 | C23 | — | 32 | 2 | no | — |
| 839 | C23 | — | 32 | 4 | no | — |
| 840 | C23 | — | 64 | 2 | no | — |
| 841 | C23 | — | 64 | 2 | no | — |
| 842 | C23 | — | 128 | 2 | no | — |
| 843 | C23 | — | 128 | 2 | no | — |
| 844 | C23 | #72214332 | 1 | 1 | yes | characteristic |
| 845 | Q8 | — | 32 | 4 | no | — |
| 846 | D4 | — | 32 | 8 | no | — |
| 847 | D4 | — | 32 | 4 | no | — |
| 848 | D4 | — | 64 | 8 | no | — |
| 849 | D4 | — | 64 | 4 | no | — |
| 850 | D4 | — | 64 | 4 | no | — |
| 851 | D4 | — | 64 | 4 | no | — |
| 852 | D4 | — | 128 | 4 | no | — |
| 853 | C2×C4 | — | 256 | 2 | no | — |
| 854 | C2×C4 | — | 2 | 1 | no | — |
| 855 | C2×C4 | — | 2 | 1 | no | — |
| 856 | C2×C4 | — | 4 | 2 | no | — |
| 857 | C2×C4 | — | 4 | 2 | no | — |
| 858 | C2×C4 | — | 8 | 2 | no | — |
| 859 | C2×C4 | — | 32 | 2 | no | — |
| 860 | C2×C4 | — | 64 | 2 | no | — |
| 861 | C2×C4 | — | 64 | 2 | no | — |
| 862 | C2×C4 | — | 64 | 2 | no | — |
| 863 | C2×C4 | — | 128 | 4 | no | — |
| 864 | C2×C4 | — | 128 | 2 | no | — |
| 865 | C2×C4 | #72214332 | 1 | 1 | yes | characteristic |
| 866 | C2×C4 | #72216429 | 1 | 1 | yes | characteristic |
| 867 | C2×C4 | #72227103 | 1 | 4 | yes | — |
| 868 | C8 | — | 2 | 4 | no | — |
| 869 | C8 | — | 4 | 2 | no | — |
| 870 | C8 | — | 4 | 2 | no | — |
| 871 | C8 | — | 16 | 1 | no | — |
| 872 | C8 | — | 64 | 4 | no | — |
| 873 | C8 | — | 64 | 2 | no | — |
| 874 | C8 | #72216421 | 1 | 2 | yes | — |
| 875 | C8 | #72227100 | 1 | 2 | yes | — |
| 876 | C8 | #72227102 | 1 | 4 | yes | — |
| 877 | C22 | — | 256 | 2 | no | — |
| 878 | C22 | — | 4 | 1 | no | — |
| 879 | C22 | — | 64 | 2 | no | — |
| 880 | C22 | — | 64 | 4 | no | — |
| 881 | C22 | — | 128 | 4 | no | — |
| 882 | C22 | — | 128 | 2 | no | — |
| 883 | C22 | — | 128 | 2 | no | — |
| 884 | C22 | — | 128 | 2 | no | — |
| 885 | C22 | #72216431 | 1 | 1 | yes | characteristic |
| 886 | C22 | #72227240 | 1 | 2 | yes | — |
| 887 | C4 | — | 2 | 2 | no | — |
| 888 | C4 | — | 4 | 1 | no | — |
| 889 | C4 | — | 8 | 2 | no | — |
| 890 | C4 | — | 64 | 2 | no | — |
| 891 | C4 | — | 128 | 2 | no | — |
| 892 | C4 | #72227104 | 1 | 2 | yes | — |
| 893 | C4 | #72227240 | 1 | 2 | yes | — |
| 894 | C2 | — | 2 | 1 | no | — |
| 895 | C2 | — | 2 | 2 | no | — |
| 896 | C2 | — | 128 | 4 | no | — |
| 897 | C2 | — | 128 | 2 | no | — |
| 898 | C2 | #72227243 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72227243 |
| commutator | C8×C16 | C23×C8 |
| Frattini, cosocle | C8×#346 | C24 |
| prime radical | #72216368 | C4 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C42×C8 ◁ C8×#346 ◁ G | |
| LECS | G ▷ C8×#346 ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72227232 | C2 | semidirect |
| 2. #72227228 | C2 | semidirect |
| 5. #72227186 | C2 | semidirect |
| 9. #72227105 | C2 | semidirect |
| 29. #72225251 | C2 | semidirect |
| 46. #72216364 | C8 | semidirect |
| 47. #72216358 | C8 | semidirect |
| 60. #72216263 | C8 | semidirect |
| 115. #151726 | C2×C8 | semidirect |
| 116. #151724 | C2×C8 | semidirect |
| 154. #123406 | C2×C8 | semidirect |
| 156. #123404 | C2×C8 | semidirect |
| 160. #123403 | C2×C8 | semidirect |
| 172. #93664 | C2×C8 | semidirect |
| 173. C16×C32 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227232 | 2 |
| #72227228 | 2 |
| #72227186 | 2 |
| #72227105 | 2 |
| #72225251 | 2 |
| #72216389 | 2 |