Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1504 conjugacy classes of subgroups.
The subgroup lattice has 1224 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72227099 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72227088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72227071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72225541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72225469 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72225183 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72225070 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72225056 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72225055 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72225037 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72224989 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #72223653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #72216444 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #72216321 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #7622620 | C22 | 1 | 1 | yes | characteristic |
| 17 | #512849 | C4 | 1 | 1 | yes | characteristic |
| 18 | #512778 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#13658 | C22 | 1 | 1 | yes | characteristic |
| 20 | #512548 | C22 | 1 | 1 | yes | characteristic |
| 21 | #498292 | — | 2 | 1 | no | — |
| 22 | #495894 | C22 | 1 | 1 | yes | characteristic |
| 23 | #483601 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #483597 | C22 | 1 | 1 | yes | characteristic |
| 25 | #483589 | C22 | 1 | 1 | yes | characteristic |
| 26 | #483327 | C22 | 1 | 1 | yes | characteristic |
| 27 | #220220 | — | 2 | 1 | no | — |
| 28 | #152545 | C4 | 1 | 1 | yes | characteristic |
| 29 | #152542 | C4 | 1 | 1 | yes | characteristic |
| 30 | #152517 | C4 | 1 | 1 | yes | characteristic |
| 31 | #152451 | C4 | 1 | 1 | yes | characteristic |
| 32 | #152447 | C4 | 1 | 1 | yes | characteristic |
| 33 | #152432 | C4 | 1 | 1 | yes | characteristic |
| 34 | #152176 | C4 | 1 | 1 | yes | characteristic |
| 35 | #151971 | C22 | 1 | 1 | yes | characteristic |
| 36 | #151969 | C22 | 1 | 1 | yes | characteristic |
| 37 | #151895 | C22 | 1 | 1 | yes | characteristic |
| 38 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 39 | #151105 | — | 2 | 2 | no | — |
| 40 | C2×#7457 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#7457 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #150074 | — | 2 | 2 | no | — |
| 43 | #150074 | C22 | 1 | 1 | yes | characteristic |
| 44 | #150074 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#7390 | — | 2 | 2 | no | — |
| 46 | C2×#7390 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#7390 | C22 | 1 | 1 | yes | characteristic |
| 48 | #150071 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#7389 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #149504 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#7333 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #140753 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #140751 | C22 | 1 | 1 | yes | characteristic |
| 54 | #140747 | C22 | 1 | 1 | yes | characteristic |
| 55 | #140357 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #140122 | — | 2 | 1 | no | — |
| 57 | #136700 | — | 2 | 1 | no | — |
| 58 | #136695 | — | 2 | 1 | no | — |
| 59 | #136601 | — | 2 | 1 | no | — |
| 60 | #135912 | — | 2 | 1 | no | — |
| 61 | #134661 | C22 | 1 | 1 | yes | characteristic |
| 62 | #129522 | — | 2 | 1 | no | — |
| 63 | #129164 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #128258 | C22 | 1 | 1 | yes | characteristic |
| 65 | #94057 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #94056 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #94031 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #94031 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #93997 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #93995 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | C2×#3415 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | C4×#576 | — | 2 | 1 | no | — |
| 73 | #33981 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C2×#2263 | C2×C4 | 1 | 1 | yes | characteristic |
| 75 | #33974 | — | 2 | 1 | no | — |
| 76 | #33617 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×#2179 | C23 | 1 | 1 | yes | characteristic |
| 78 | #33460 | — | 2 | 1 | no | — |
| 79 | #33460 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | #33456 | — | 2 | 1 | no | — |
| 81 | #33456 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #33454 | — | 2 | 1 | no | — |
| 83 | #33454 | — | 4 | 1 | no | — |
| 84 | C4×#509 | — | 2 | 1 | no | — |
| 85 | C4×#509 | — | 4 | 1 | no | — |
| 86 | #33451 | — | 2 | 1 | no | — |
| 87 | #33451 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#2177 | — | 2 | 1 | no | — |
| 89 | C2×#2177 | C23 | 1 | 1 | yes | characteristic |
| 90 | #33443 | — | 2 | 1 | no | — |
| 91 | #33442 | — | 4 | 1 | no | — |
| 92 | #33411 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | #33401 | — | 2 | 1 | no | — |
| 94 | #33381 | — | 2 | 1 | no | — |
| 95 | #33326 | C23 | 1 | 1 | yes | characteristic |
| 96 | #21558 | — | 2 | 1 | no | — |
| 97 | #17858 | — | 2 | 1 | no | — |
| 98 | #17849 | — | 2 | 1 | no | — |
| 99 | #17438 | — | 4 | 1 | no | — |
| 100 | #13671 | C8 | 1 | 4 | yes | complemented |
| 101 | #13669 | C8 | 1 | 4 | yes | complemented |
| 102 | #13658 | — | 2 | 1 | no | — |
| 103 | #13658 | — | 2 | 1 | no | — |
| 104 | #13658 | — | 4 | 1 | no | — |
| 105 | #13658 | — | 4 | 1 | no | — |
| 106 | #13657 | — | 2 | 1 | no | — |
| 107 | #13657 | — | 2 | 1 | no | — |
| 108 | #13638 | C2×C4 | 1 | 1 | yes | characteristic |
| 109 | C2×#1426 | C2×C4 | 1 | 1 | yes | characteristic |
| 110 | #13625 | C2×C4 | 1 | 1 | yes | characteristic |
| 111 | C2×#1419 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | C2×#1419 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | #13622 | C2×C4 | 1 | 1 | yes | characteristic |
| 114 | #13622 | C2×C4 | 1 | 1 | yes | characteristic |
| 115 | C2×#1418 | C2×C4 | 1 | 1 | yes | characteristic |
| 116 | #13620 | C2×C4 | 1 | 1 | yes | characteristic |
| 117 | #13617 | C2×C4 | 1 | 1 | yes | characteristic |
| 118 | #13558 | C2×C4 | 1 | 1 | yes | characteristic |
| 119 | #13558 | C2×C4 | 1 | 1 | yes | characteristic |
| 120 | #13551 | — | 2 | 1 | no | — |
| 121 | #13551 | — | 4 | 1 | no | — |
| 122 | C2×#1398 | — | 2 | 2 | no | — |
| 123 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×#1398 | C23 | 1 | 1 | yes | characteristic |
| 127 | #13243 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | #13196 | — | 2 | 1 | no | — |
| 129 | #13173 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | #13164 | — | 2 | 1 | no | — |
| 131 | #13146 | — | 2 | 1 | no | — |
| 132 | #13123 | — | 4 | 1 | no | — |
| 133 | #13071 | — | 2 | 1 | no | — |
| 134 | #12979 | — | 4 | 1 | no | — |
| 135 | #12916 | — | 4 | 1 | no | — |
| 136 | #12841 | C2×C4 | 1 | 1 | yes | characteristic |
| 137 | #12671 | C23 | 1 | 1 | yes | characteristic |
| 138 | #12665 | — | 2 | 1 | no | — |
| 139 | #12646 | — | 2 | 1 | no | — |
| 140 | #12604 | D4 | 1 | 1 | yes | characteristic |
| 141 | #12068 | — | 2 | 2 | no | — |
| 142 | #12068 | — | 4 | 1 | no | — |
| 143 | #12067 | — | 2 | 1 | no | — |
| 144 | #12067 | — | 2 | 1 | no | — |
| 145 | #12066 | — | 2 | 1 | no | — |
| 146 | #12066 | — | 2 | 1 | no | — |
| 147 | #12065 | — | 4 | 1 | no | — |
| 148 | #12065 | — | 4 | 1 | no | — |
| 149 | #12002 | — | 2 | 1 | no | — |
| 150 | #12002 | — | 4 | 1 | no | — |
| 151 | C2×#1369 | — | 2 | 2 | no | — |
| 152 | C2×#1369 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×#1369 | C23 | 1 | 1 | yes | characteristic |
| 154 | #11999 | C23 | 1 | 1 | yes | characteristic |
| 155 | C2×#1368 | C23 | 1 | 1 | yes | characteristic |
| 156 | #11604 | — | 2 | 1 | no | — |
| 157 | C2×#1336 | — | 2 | 1 | no | — |
| 158 | #11598 | — | 2 | 1 | no | — |
| 159 | #11597 | — | 2 | 1 | no | — |
| 160 | C2×#1333 | — | 2 | 1 | no | — |
| 161 | #11593 | — | 2 | 1 | no | — |
| 162 | #11405 | C23 | 1 | 1 | yes | characteristic |
| 163 | C2×#1313 | C23 | 1 | 1 | yes | characteristic |
| 164 | #9668 | — | 2 | 1 | no | — |
| 165 | #9659 | — | 2 | 1 | no | — |
| 166 | #9095 | — | 4 | 1 | no | — |
| 167 | #8954 | — | 4 | 1 | no | — |
| 168 | #8604 | — | 2 | 1 | no | — |
| 169 | #8318 | — | 4 | 1 | no | — |
| 170 | #8185 | D4 | 1 | 1 | yes | characteristic |
| 171 | #7480 | C2×C4 | 1 | 1 | yes | characteristic |
| 172 | #7477 | C2×C4 | 1 | 1 | yes | characteristic |
| 173 | #7475 | C2×C4 | 1 | 1 | yes | characteristic |
| 174 | #7474 | C2×C4 | 1 | 1 | yes | characteristic |
| 175 | #7469 | C2×C4 | 1 | 1 | yes | characteristic |
| 176 | #7469 | C2×C4 | 1 | 1 | yes | characteristic |
| 177 | #7457 | — | 2 | 2 | no | — |
| 178 | #7457 | — | 4 | 1 | no | — |
| 179 | #7391 | — | 2 | 1 | no | — |
| 180 | #7391 | D4 | 1 | 2 | yes | — |
| 181 | #7390 | — | 2 | 1 | no | — |
| 182 | #7390 | — | 2 | 2 | no | — |
| 183 | #7390 | — | 2 | 2 | no | — |
| 184 | #7390 | D4 | 1 | 2 | yes | — |
| 185 | #7389 | — | 2 | 2 | no | — |
| 186 | #7389 | — | 4 | 1 | no | — |
| 187 | #7333 | — | 2 | 2 | no | — |
| 188 | #7333 | — | 4 | 1 | no | — |
| 189 | #7182 | — | 2 | 1 | no | — |
| 190 | #7180 | — | 2 | 1 | no | — |
| 191 | #7158 | — | 2 | 1 | no | — |
| 192 | #7140 | D4 | 1 | 1 | yes | characteristic |
| 193 | #7139 | D4 | 1 | 1 | yes | characteristic |
| 194 | C2×#576 | — | 2 | 1 | no | — |
| 195 | C4×H(5,𝔽2) | — | 4 | 1 | no | — |
| 196 | #3415 | — | 2 | 2 | no | — |
| 197 | #3415 | — | 2 | 2 | no | — |
| 198 | #3415 | — | 4 | 1 | no | — |
| 199 | #3415 | C2×C8 | 1 | 4 | yes | — |
| 200 | C2×#509 | — | 2 | 1 | no | — |
| 201 | C2×#509 | — | 4 | 1 | no | — |
| 202 | C2×#508 | — | 2 | 1 | no | — |
| 203 | C2×#508 | C22×C4 | 1 | 1 | yes | characteristic |
| 204 | C2×#508 | C22×C4 | 1 | 1 | yes | characteristic |
| 205 | C22×D16 | — | 2 | 1 | no | — |
| 206 | C22×D16 | C22×C4 | 1 | 1 | yes | characteristic |
| 207 | #3407 | — | 4 | 1 | no | — |
| 208 | #3407 | — | 4 | 1 | no | — |
| 209 | C2×#504 | C22×C4 | 1 | 1 | yes | characteristic |
| 210 | C2×#504 | #41 | 1 | 1 | yes | characteristic |
| 211 | #3067 | — | 2 | 1 | no | — |
| 212 | #2988 | — | 4 | 1 | no | — |
| 213 | C8×#41 | — | 4 | 1 | no | — |
| 214 | #2955 | — | 4 | 1 | no | — |
| 215 | C2×#443 | — | 2 | 1 | no | — |
| 216 | #2951 | — | 2 | 1 | no | — |
| 217 | #2951 | — | 4 | 1 | no | — |
| 218 | #2948 | — | 2 | 1 | no | — |
| 219 | #2948 | — | 4 | 1 | no | — |
| 220 | #2946 | — | 4 | 1 | no | — |
| 221 | #2946 | — | 8 | 1 | no | — |
| 222 | C4×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 223 | C4×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 224 | C4×#135 | — | 2 | 1 | no | — |
| 225 | C4×#135 | — | 4 | 1 | no | — |
| 226 | C2×C4×D8 | — | 2 | 1 | no | — |
| 227 | C2×C4×D8 | — | 4 | 1 | no | — |
| 228 | #2913 | — | 2 | 1 | no | — |
| 229 | #2897 | — | 4 | 1 | no | — |
| 230 | C4×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 231 | #2264 | — | 2 | 1 | no | — |
| 232 | #2264 | C2×C8 | 1 | 2 | yes | — |
| 233 | #2263 | — | 2 | 1 | no | — |
| 234 | #2263 | — | 4 | 1 | no | — |
| 235 | #2263 | — | 4 | 1 | no | — |
| 236 | #2263 | C2×C8 | 1 | 2 | yes | — |
| 237 | #2262 | — | 2 | 2 | no | — |
| 238 | C2×SD64 | C2×C8 | 1 | 2 | yes | complemented |
| 239 | C2×D32 | C2×C8 | 1 | 2 | yes | complemented |
| 240 | #2258 | — | 4 | 2 | no | — |
| 241 | #2258 | — | 4 | 2 | no | — |
| 242 | C2×M64 | — | 2 | 1 | no | — |
| 243 | C2×M64 | — | 2 | 1 | no | — |
| 244 | C2×M64 | — | 4 | 2 | no | — |
| 245 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 246 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 247 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 248 | C2×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 249 | #2223 | — | 2 | 2 | no | — |
| 250 | #2222 | C2×C8 | 1 | 2 | yes | complemented |
| 251 | #2221 | C2×C8 | 1 | 2 | yes | complemented |
| 252 | #2179 | — | 2 | 1 | no | — |
| 253 | #2179 | — | 2 | 1 | no | — |
| 254 | #2179 | — | 2 | 1 | no | — |
| 255 | #2179 | — | 2 | 1 | no | — |
| 256 | #2177 | — | 2 | 1 | no | — |
| 257 | #2177 | — | 2 | 1 | no | — |
| 258 | #2177 | — | 2 | 1 | no | — |
| 259 | #2177 | — | 2 | 1 | no | — |
| 260 | #2177 | — | 2 | 1 | no | — |
| 261 | #2177 | — | 2 | 1 | no | — |
| 262 | #2177 | — | 2 | 1 | no | — |
| 263 | #2177 | — | 4 | 1 | no | — |
| 264 | #2177 | — | 4 | 1 | no | — |
| 265 | #2177 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | #2177 | #41 | 1 | 1 | yes | characteristic |
| 267 | #2176 | — | 2 | 1 | no | — |
| 268 | #2176 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | #2176 | #41 | 1 | 1 | yes | characteristic |
| 270 | #2175 | — | 2 | 1 | no | — |
| 271 | #2175 | — | 2 | 1 | no | — |
| 272 | #2175 | — | 4 | 1 | no | — |
| 273 | #2175 | — | 4 | 1 | no | — |
| 274 | C4×SD32 | — | 4 | 1 | no | — |
| 275 | C4×SD32 | — | 4 | 1 | no | — |
| 276 | C4×SD32 | — | 4 | 1 | no | — |
| 277 | C4×D16 | — | 4 | 1 | no | — |
| 278 | C4×D16 | — | 4 | 1 | no | — |
| 279 | C4×D16 | — | 4 | 1 | no | — |
| 280 | #2171 | — | 4 | 2 | no | — |
| 281 | #2171 | — | 8 | 2 | no | — |
| 282 | #2170 | — | 8 | 1 | no | — |
| 283 | #2170 | — | 8 | 2 | no | — |
| 284 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 285 | C2×#368 | C22×C4 | 1 | 1 | yes | characteristic |
| 286 | #2159 | — | 2 | 1 | no | — |
| 287 | #2159 | — | 4 | 1 | no | — |
| 288 | #2158 | — | 2 | 1 | no | — |
| 289 | #2158 | C22×C4 | 1 | 1 | yes | characteristic |
| 290 | #2158 | C22×C4 | 1 | 1 | yes | characteristic |
| 291 | C2×#367 | — | 2 | 1 | no | — |
| 292 | C2×#367 | C22×C4 | 1 | 1 | yes | characteristic |
| 293 | #2153 | — | 4 | 1 | no | — |
| 294 | #2153 | — | 4 | 1 | no | — |
| 295 | #2153 | — | 8 | 1 | no | — |
| 296 | C2×#364 | — | 2 | 1 | no | — |
| 297 | C2×#364 | — | 2 | 1 | no | — |
| 298 | C2×#364 | — | 4 | 2 | no | — |
| 299 | #2148 | — | 2 | 1 | no | — |
| 300 | #2145 | — | 2 | 1 | no | — |
| 301 | C2×#359 | — | 2 | 1 | no | — |
| 302 | #2140 | — | 2 | 1 | no | — |
| 303 | #2140 | — | 4 | 1 | no | — |
| 304 | #2139 | — | 2 | 1 | no | — |
| 305 | #2139 | — | 4 | 1 | no | — |
| 306 | #2138 | — | 2 | 1 | no | — |
| 307 | #2138 | — | 4 | 1 | no | — |
| 308 | C2×#357 | — | 2 | 1 | no | — |
| 309 | C2×#357 | — | 4 | 1 | no | — |
| 310 | #2117 | — | 4 | 1 | no | — |
| 311 | C2×#350 | — | 2 | 1 | no | — |
| 312 | C2×#350 | — | 4 | 1 | no | — |
| 313 | #2113 | — | 4 | 1 | no | — |
| 314 | #2108 | — | 2 | 1 | no | — |
| 315 | #2108 | — | 2 | 1 | no | — |
| 316 | #2108 | — | 4 | 1 | no | — |
| 317 | #2108 | C22×C4 | 1 | 1 | yes | characteristic |
| 318 | #2108 | #41 | 1 | 1 | yes | characteristic |
| 319 | C4×M32 | — | 2 | 1 | no | — |
| 320 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 321 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 322 | C2×#346 | — | 2 | 1 | no | — |
| 323 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×#346 | C24 | 1 | 1 | yes | characteristic |
| 325 | #1976 | — | 2 | 1 | no | — |
| 326 | #1954 | — | 4 | 1 | no | — |
| 327 | #1953 | — | 2 | 1 | no | — |
| 328 | #1932 | — | 4 | 1 | no | — |
| 329 | #1906 | — | 4 | 1 | no | — |
| 330 | #1814 | — | 2 | 1 | no | — |
| 331 | #1772 | — | 2 | 1 | no | — |
| 332 | #1757 | — | 4 | 1 | no | — |
| 333 | #1580 | — | 4 | 1 | no | — |
| 334 | #1580 | — | 4 | 1 | no | — |
| 335 | #1579 | — | 4 | 1 | no | — |
| 336 | #1579 | — | 4 | 1 | no | — |
| 337 | SD16⋊C8 | — | 8 | 1 | no | — |
| 338 | C8×SD16 | — | 8 | 1 | no | — |
| 339 | #1564 | — | 2 | 1 | no | — |
| 340 | C2×#334 | — | 2 | 1 | no | — |
| 341 | #1478 | — | 4 | 1 | no | — |
| 342 | #1478 | — | 8 | 1 | no | — |
| 343 | #1477 | — | 4 | 1 | no | — |
| 344 | #1477 | — | 4 | 1 | no | — |
| 345 | #1477 | — | 8 | 1 | no | — |
| 346 | #1476 | — | 2 | 1 | no | — |
| 347 | #1476 | — | 4 | 1 | no | — |
| 348 | #1476 | — | 8 | 1 | no | — |
| 349 | C2×D4⋊C8 | — | 4 | 1 | no | — |
| 350 | C2×D4⋊C8 | — | 8 | 1 | no | — |
| 351 | #1460 | — | 4 | 1 | no | — |
| 352 | #1450 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×#322 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | #1426 | — | 2 | 1 | no | — |
| 355 | #1426 | — | 2 | 1 | no | — |
| 356 | #1426 | — | 4 | 1 | no | — |
| 357 | #1420 | — | 2 | 1 | no | — |
| 358 | #1419 | — | 2 | 1 | no | — |
| 359 | #1419 | — | 4 | 1 | no | — |
| 360 | #1419 | C2×C8 | 1 | 4 | yes | complemented |
| 361 | #1418 | — | 2 | 2 | no | — |
| 362 | #1418 | — | 2 | 1 | no | — |
| 363 | #1418 | — | 2 | 1 | no | — |
| 364 | #1418 | — | 4 | 1 | no | — |
| 365 | #1417 | C2×C8 | 1 | 4 | yes | — |
| 366 | #1415 | — | 4 | 1 | no | — |
| 367 | #1401 | — | 2 | 2 | no | — |
| 368 | #1401 | C2×C8 | 1 | 4 | yes | complemented |
| 369 | #1398 | — | 2 | 1 | no | — |
| 370 | #1398 | — | 2 | 1 | no | — |
| 371 | #1398 | — | 2 | 1 | no | — |
| 372 | #1398 | — | 2 | 1 | no | — |
| 373 | #1398 | — | 2 | 1 | no | — |
| 374 | #1398 | — | 2 | 1 | no | — |
| 375 | #1398 | — | 2 | 1 | no | — |
| 376 | #1398 | — | 4 | 2 | no | — |
| 377 | #1398 | C2×D4 | 1 | 2 | yes | — |
| 378 | #1389 | — | 2 | 1 | no | — |
| 379 | #1388 | — | 2 | 1 | no | — |
| 380 | #1382 | — | 2 | 1 | no | — |
| 381 | #1379 | — | 2 | 1 | no | — |
| 382 | #1379 | — | 4 | 1 | no | — |
| 383 | #1378 | — | 4 | 1 | no | — |
| 384 | #1369 | — | 2 | 1 | no | — |
| 385 | #1369 | — | 2 | 1 | no | — |
| 386 | #1369 | — | 2 | 1 | no | — |
| 387 | #1369 | — | 4 | 2 | no | — |
| 388 | #1369 | C2×D4 | 1 | 2 | yes | — |
| 389 | #1368 | — | 2 | 1 | no | — |
| 390 | #1368 | — | 2 | 1 | no | — |
| 391 | #1368 | — | 2 | 1 | no | — |
| 392 | #1368 | — | 2 | 1 | no | — |
| 393 | #1336 | — | 4 | 2 | no | — |
| 394 | #1336 | — | 8 | 1 | no | — |
| 395 | #1334 | — | 4 | 1 | no | — |
| 396 | #1334 | — | 4 | 1 | no | — |
| 397 | #1333 | — | 4 | 1 | no | — |
| 398 | #1333 | — | 4 | 1 | no | — |
| 399 | #1333 | — | 8 | 1 | no | — |
| 400 | #1331 | — | 8 | 1 | no | — |
| 401 | #1313 | — | 2 | 1 | no | — |
| 402 | #1313 | — | 2 | 1 | no | — |
| 403 | #1313 | — | 2 | 1 | no | — |
| 404 | #1313 | — | 2 | 1 | no | — |
| 405 | #1283 | — | 4 | 1 | no | — |
| 406 | #1278 | — | 2 | 1 | no | — |
| 407 | C2×H(5,𝔽2) | — | 4 | 1 | no | — |
| 408 | #576 | — | 2 | 4 | no | — |
| 409 | #576 | — | 4 | 2 | no | — |
| 410 | #576 | — | 4 | 2 | no | — |
| 411 | #576 | — | 8 | 1 | no | — |
| 412 | #575 | — | 4 | 1 | no | — |
| 413 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 414 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 415 | C2×#135 | — | 2 | 1 | no | — |
| 416 | C2×#135 | — | 2 | 1 | no | — |
| 417 | C2×#135 | — | 4 | 1 | no | — |
| 418 | C22×D8 | — | 2 | 1 | no | — |
| 419 | C22×D8 | — | 4 | 1 | no | — |
| 420 | C2×#131 | — | 4 | 1 | no | — |
| 421 | C2×#131 | C4×D4 | 1 | 1 | yes | characteristic |
| 422 | C2×#131 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 423 | #520 | — | 4 | 1 | no | — |
| 424 | #520 | — | 4 | 1 | no | — |
| 425 | #520 | — | 8 | 1 | no | — |
| 426 | #520 | — | 8 | 1 | no | — |
| 427 | #518 | — | 4 | 1 | no | — |
| 428 | #518 | — | 8 | 1 | no | — |
| 429 | #518 | — | 8 | 1 | no | — |
| 430 | #518 | — | 16 | 1 | no | — |
| 431 | C4×#41 | — | 4 | 1 | no | — |
| 432 | C4×#41 | — | 8 | 1 | no | — |
| 433 | C4×#41 | — | 8 | 1 | no | — |
| 434 | C4×#41 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 435 | C2×C4×D4 | — | 4 | 1 | no | — |
| 436 | C2×C4×D4 | — | 8 | 1 | no | — |
| 437 | C2×C4×D4 | — | 8 | 1 | no | — |
| 438 | C2×C4×D4 | — | 16 | 1 | no | — |
| 439 | #509 | — | 2 | 4 | no | — |
| 440 | #509 | — | 4 | 4 | no | — |
| 441 | #509 | — | 4 | 4 | no | — |
| 442 | #509 | — | 4 | 2 | no | — |
| 443 | #508 | — | 2 | 4 | no | — |
| 444 | #508 | — | 2 | 1 | no | — |
| 445 | #508 | — | 2 | 1 | no | — |
| 446 | #508 | — | 2 | 1 | no | — |
| 447 | #508 | — | 2 | 1 | no | — |
| 448 | #508 | — | 2 | 1 | no | — |
| 449 | #508 | — | 2 | 1 | no | — |
| 450 | #508 | — | 4 | 2 | no | — |
| 451 | #508 | C22×C8 | 1 | 2 | yes | — |
| 452 | #508 | #131 | 1 | 2 | yes | — |
| 453 | C2×Q32 | C4×D4 | 1 | 1 | yes | characteristic |
| 454 | C2×Q32 | C22×C8 | 1 | 1 | yes | characteristic |
| 455 | C2×SD32 | — | 2 | 1 | no | — |
| 456 | C2×SD32 | — | 2 | 1 | no | — |
| 457 | C2×SD32 | — | 4 | 1 | no | — |
| 458 | C2×D16 | — | 2 | 4 | no | — |
| 459 | C2×D16 | — | 2 | 1 | no | — |
| 460 | C2×D16 | — | 2 | 1 | no | — |
| 461 | C2×D16 | — | 2 | 1 | no | — |
| 462 | C2×D16 | — | 2 | 1 | no | — |
| 463 | C2×D16 | — | 2 | 1 | no | — |
| 464 | C2×D16 | — | 4 | 2 | no | — |
| 465 | C2×D16 | — | 4 | 1 | no | — |
| 466 | C2×D16 | C4×D4 | 1 | 1 | yes | characteristic |
| 467 | C2×D16 | C22×C8 | 1 | 2 | yes | — |
| 468 | C2×D16 | C22×C8 | 1 | 1 | yes | characteristic |
| 469 | #504 | — | 2 | 1 | no | — |
| 470 | #504 | — | 2 | 1 | no | — |
| 471 | #504 | — | 2 | 2 | no | — |
| 472 | #504 | — | 4 | 1 | no | — |
| 473 | #504 | — | 8 | 2 | no | — |
| 474 | #504 | — | 8 | 2 | no | — |
| 475 | #504 | — | 8 | 2 | no | — |
| 476 | #504 | — | 16 | 1 | no | — |
| 477 | #504 | C22×C8 | 1 | 2 | yes | — |
| 478 | #504 | #131 | 1 | 2 | yes | — |
| 479 | C2×M32 | — | 2 | 1 | no | — |
| 480 | C2×M32 | — | 2 | 1 | no | — |
| 481 | C2×M32 | — | 2 | 1 | no | — |
| 482 | C2×M32 | — | 4 | 1 | no | — |
| 483 | C2×M32 | — | 4 | 1 | no | — |
| 484 | C2×M32 | — | 8 | 2 | no | — |
| 485 | C2×M32 | — | 16 | 1 | no | — |
| 486 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 487 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 488 | C22×C16 | — | 2 | 1 | no | — |
| 489 | C22×C16 | — | 2 | 1 | no | — |
| 490 | C22×C16 | — | 2 | 1 | no | — |
| 491 | C22×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 492 | C22×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 493 | #473 | — | 2 | 2 | no | — |
| 494 | #472 | — | 2 | 2 | no | — |
| 495 | #471 | — | 4 | 2 | no | — |
| 496 | C8×Q8 | — | 8 | 1 | no | — |
| 497 | C8×Q8 | — | 8 | 1 | no | — |
| 498 | #444 | — | 8 | 2 | no | — |
| 499 | #443 | — | 4 | 1 | no | — |
| 500 | #443 | — | 4 | 1 | no | — |
| 501 | #443 | — | 4 | 1 | no | — |
| 502 | #443 | — | 4 | 1 | no | — |
| 503 | #443 | — | 8 | 2 | no | — |
| 504 | #442 | — | 8 | 1 | no | — |
| 505 | #442 | — | 8 | 1 | no | — |
| 506 | #442 | — | 8 | 1 | no | — |
| 507 | #440 | — | 8 | 1 | no | — |
| 508 | #440 | — | 8 | 1 | no | — |
| 509 | #440 | — | 8 | 1 | no | — |
| 510 | C4×Q16 | — | 2 | 1 | no | — |
| 511 | C4×Q16 | — | 2 | 1 | no | — |
| 512 | C4×Q16 | — | 4 | 1 | no | — |
| 513 | C4×SD16 | — | 4 | 1 | no | — |
| 514 | C4×SD16 | — | 4 | 1 | no | — |
| 515 | C4×SD16 | — | 8 | 1 | no | — |
| 516 | C4×SD16 | — | 8 | 1 | no | — |
| 517 | C4×D8 | — | 2 | 1 | no | — |
| 518 | C4×D8 | — | 2 | 1 | no | — |
| 519 | C4×D8 | — | 4 | 1 | no | — |
| 520 | C4×D8 | — | 4 | 1 | no | — |
| 521 | C4×D8 | — | 4 | 1 | no | — |
| 522 | C4×D8 | — | 4 | 1 | no | — |
| 523 | C4×D8 | — | 4 | 1 | no | — |
| 524 | C4×D8 | — | 4 | 1 | no | — |
| 525 | C4×D8 | — | 4 | 1 | no | — |
| 526 | C4×D8 | — | 8 | 1 | no | — |
| 527 | C4×D8 | — | 8 | 1 | no | — |
| 528 | C8×D4 | — | 8 | 1 | no | — |
| 529 | C8×D4 | — | 8 | 1 | no | — |
| 530 | C8×D4 | — | 16 | 1 | no | — |
| 531 | C8×D4 | — | 16 | 1 | no | — |
| 532 | #431 | — | 2 | 1 | no | — |
| 533 | #431 | — | 4 | 1 | no | — |
| 534 | #431 | — | 8 | 1 | no | — |
| 535 | #431 | — | 8 | 1 | no | — |
| 536 | #430 | — | 4 | 1 | no | — |
| 537 | C2×#108 | — | 2 | 1 | no | — |
| 538 | C2×#108 | — | 2 | 1 | no | — |
| 539 | #428 | — | 4 | 1 | no | — |
| 540 | #428 | — | 8 | 1 | no | — |
| 541 | #427 | — | 2 | 1 | no | — |
| 542 | #427 | — | 2 | 1 | no | — |
| 543 | #427 | — | 4 | 1 | no | — |
| 544 | C2×#107 | — | 2 | 1 | no | — |
| 545 | C2×#107 | — | 4 | 1 | no | — |
| 546 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 547 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 548 | #421 | — | 4 | 1 | no | — |
| 549 | #421 | — | 4 | 1 | no | — |
| 550 | C2×#104 | — | 4 | 1 | no | — |
| 551 | #418 | — | 4 | 1 | no | — |
| 552 | #418 | — | 8 | 1 | no | — |
| 553 | #417 | — | 4 | 1 | no | — |
| 554 | #417 | — | 8 | 1 | no | — |
| 555 | #416 | — | 4 | 1 | no | — |
| 556 | #416 | — | 8 | 1 | no | — |
| 557 | C2×#102 | — | 4 | 1 | no | — |
| 558 | C2×#102 | — | 8 | 1 | no | — |
| 559 | #413 | — | 4 | 1 | no | — |
| 560 | #410 | — | 4 | 1 | no | — |
| 561 | C2×C22⋊C8 | — | 16 | 1 | no | — |
| 562 | #405 | — | 2 | 1 | no | — |
| 563 | #405 | — | 2 | 1 | no | — |
| 564 | #405 | — | 4 | 1 | no | — |
| 565 | #405 | C4×D4 | 1 | 1 | yes | characteristic |
| 566 | #405 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 567 | C4×M16 | — | 2 | 1 | no | — |
| 568 | C4×M16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 569 | C2×C4×C8 | — | 2 | 1 | no | — |
| 570 | C2×C4×C8 | — | 2 | 1 | no | — |
| 571 | C2×C4×C8 | — | 8 | 1 | no | — |
| 572 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 573 | Q64 | — | 2 | 2 | no | — |
| 574 | SD64 | — | 2 | 2 | no | — |
| 575 | SD64 | — | 2 | 2 | no | — |
| 576 | SD64 | — | 4 | 2 | no | — |
| 577 | D32 | — | 2 | 2 | no | — |
| 578 | D32 | — | 4 | 2 | no | — |
| 579 | M64 | — | 2 | 1 | no | — |
| 580 | M64 | — | 2 | 1 | no | — |
| 581 | M64 | — | 2 | 1 | no | — |
| 582 | M64 | — | 2 | 1 | no | — |
| 583 | M64 | — | 2 | 1 | no | — |
| 584 | M64 | — | 2 | 2 | no | — |
| 585 | M64 | — | 2 | 1 | no | — |
| 586 | M64 | — | 2 | 1 | no | — |
| 587 | M64 | — | 4 | 1 | no | — |
| 588 | M64 | — | 4 | 1 | no | — |
| 589 | M64 | — | 4 | 4 | no | — |
| 590 | M64 | — | 4 | 1 | no | — |
| 591 | M64 | C22×C8 | 1 | 2 | yes | — |
| 592 | C2×C32 | — | 2 | 1 | no | — |
| 593 | C2×C32 | — | 2 | 2 | no | — |
| 594 | C2×C32 | — | 2 | 1 | no | — |
| 595 | C2×C32 | — | 2 | 1 | no | — |
| 596 | C2×C32 | — | 4 | 1 | no | — |
| 597 | C2×C32 | — | 4 | 4 | no | — |
| 598 | C2×C32 | C22×C8 | 1 | 2 | yes | — |
| 599 | #368 | — | 2 | 1 | no | — |
| 600 | #368 | — | 2 | 1 | no | — |
| 601 | #368 | — | 2 | 1 | no | — |
| 602 | #368 | C22×C8 | 1 | 2 | yes | — |
| 603 | #367 | — | 2 | 1 | no | — |
| 604 | #367 | — | 2 | 1 | no | — |
| 605 | #367 | — | 2 | 1 | no | — |
| 606 | #367 | — | 4 | 1 | no | — |
| 607 | #367 | C4×D4 | 1 | 1 | yes | characteristic |
| 608 | #367 | C4×D4 | 1 | 1 | yes | characteristic |
| 609 | #366 | — | 2 | 1 | no | — |
| 610 | #366 | — | 2 | 1 | no | — |
| 611 | #366 | — | 4 | 1 | no | — |
| 612 | #364 | — | 2 | 2 | no | — |
| 613 | #364 | — | 4 | 1 | no | — |
| 614 | #364 | — | 4 | 1 | no | — |
| 615 | #364 | — | 4 | 1 | no | — |
| 616 | #364 | — | 8 | 2 | no | — |
| 617 | #364 | — | 8 | 2 | no | — |
| 618 | #362 | — | 2 | 2 | no | — |
| 619 | #361 | — | 2 | 2 | no | — |
| 620 | #360 | — | 8 | 1 | no | — |
| 621 | #359 | — | 4 | 1 | no | — |
| 622 | #359 | — | 4 | 1 | no | — |
| 623 | #358 | — | 2 | 1 | no | — |
| 624 | #358 | — | 2 | 1 | no | — |
| 625 | #358 | — | 4 | 1 | no | — |
| 626 | #357 | — | 2 | 1 | no | — |
| 627 | #357 | — | 2 | 1 | no | — |
| 628 | #357 | — | 4 | 1 | no | — |
| 629 | #357 | — | 4 | 1 | no | — |
| 630 | #357 | — | 4 | 1 | no | — |
| 631 | #357 | — | 4 | 1 | no | — |
| 632 | #357 | — | 4 | 1 | no | — |
| 633 | #350 | — | 4 | 2 | no | — |
| 634 | #350 | — | 8 | 2 | no | — |
| 635 | #350 | — | 8 | 1 | no | — |
| 636 | #350 | — | 8 | 1 | no | — |
| 637 | C22⋊C16 | — | 16 | 1 | no | — |
| 638 | #346 | — | 2 | 1 | no | — |
| 639 | #346 | — | 2 | 1 | no | — |
| 640 | #346 | — | 2 | 1 | no | — |
| 641 | #346 | — | 2 | 1 | no | — |
| 642 | #346 | — | 2 | 1 | no | — |
| 643 | #346 | — | 2 | 1 | no | — |
| 644 | #346 | — | 8 | 1 | no | — |
| 645 | #346 | C22×D4 | 1 | 1 | yes | characteristic |
| 646 | #346 | C2×#41 | 1 | 1 | yes | characteristic |
| 647 | #346 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 648 | #346 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 649 | C4×C16 | — | 2 | 1 | no | — |
| 650 | C4×C16 | — | 2 | 1 | no | — |
| 651 | C4×C16 | — | 2 | 1 | no | — |
| 652 | C4×C16 | — | 2 | 1 | no | — |
| 653 | C4×C16 | — | 8 | 1 | no | — |
| 654 | #344 | — | 4 | 1 | no | — |
| 655 | #344 | — | 4 | 1 | no | — |
| 656 | #339 | — | 4 | 1 | no | — |
| 657 | #335 | — | 4 | 1 | no | — |
| 658 | #334 | — | 4 | 1 | no | — |
| 659 | #334 | — | 4 | 1 | no | — |
| 660 | #334 | — | 4 | 1 | no | — |
| 661 | Q8⋊C8 | — | 4 | 1 | no | — |
| 662 | Q8⋊C8 | — | 8 | 1 | no | — |
| 663 | Q8⋊C8 | — | 8 | 1 | no | — |
| 664 | Q8⋊C8 | — | 8 | 1 | no | — |
| 665 | D4⋊C8 | — | 4 | 1 | no | — |
| 666 | D4⋊C8 | — | 8 | 1 | no | — |
| 667 | D4⋊C8 | — | 8 | 1 | no | — |
| 668 | D4⋊C8 | — | 8 | 1 | no | — |
| 669 | D4⋊C8 | — | 8 | 1 | no | — |
| 670 | D4⋊C8 | — | 8 | 1 | no | — |
| 671 | D4⋊C8 | — | 8 | 1 | no | — |
| 672 | D4⋊C8 | — | 8 | 1 | no | — |
| 673 | #323 | — | 16 | 1 | no | — |
| 674 | #322 | — | 2 | 1 | no | — |
| 675 | #322 | — | 2 | 1 | no | — |
| 676 | #322 | — | 2 | 1 | no | — |
| 677 | C82 | — | 2 | 1 | no | — |
| 678 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 679 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 680 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 681 | H(5,𝔽2) | — | 16 | 1 | no | — |
| 682 | C2×#41 | — | 4 | 1 | no | — |
| 683 | C2×#41 | — | 4 | 1 | no | — |
| 684 | C2×#41 | — | 8 | 1 | no | — |
| 685 | C2×#41 | — | 8 | 1 | no | — |
| 686 | C2×#41 | #442 | 1 | 1 | yes | characteristic |
| 687 | C22×D4 | — | 4 | 1 | no | — |
| 688 | C22×D4 | — | 8 | 1 | no | — |
| 689 | C22×D4 | — | 8 | 1 | no | — |
| 690 | C22×D4 | — | 16 | 1 | no | — |
| 691 | C23×C4 | — | 8 | 1 | no | — |
| 692 | C23×C4 | — | 16 | 1 | no | — |
| 693 | #137 | — | 4 | 2 | no | — |
| 694 | #137 | — | 8 | 1 | no | — |
| 695 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 696 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 697 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 698 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 699 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 700 | AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 701 | #135 | — | 2 | 2 | no | — |
| 702 | #135 | — | 2 | 2 | no | — |
| 703 | #135 | — | 4 | 4 | no | — |
| 704 | #135 | — | 4 | 1 | no | — |
| 705 | #135 | — | 4 | 1 | no | — |
| 706 | #135 | — | 4 | 1 | no | — |
| 707 | #135 | — | 4 | 1 | no | — |
| 708 | #135 | — | 4 | 1 | no | — |
| 709 | #135 | — | 4 | 1 | no | — |
| 710 | #135 | — | 8 | 2 | no | — |
| 711 | #135 | — | 8 | 2 | no | — |
| 712 | C2×Q16 | — | 2 | 1 | no | — |
| 713 | C2×Q16 | — | 2 | 1 | no | — |
| 714 | C2×SD16 | — | 4 | 1 | no | — |
| 715 | C2×SD16 | — | 4 | 1 | no | — |
| 716 | C2×SD16 | — | 8 | 1 | no | — |
| 717 | C2×D8 | — | 2 | 1 | no | — |
| 718 | C2×D8 | — | 2 | 2 | no | — |
| 719 | C2×D8 | — | 2 | 1 | no | — |
| 720 | C2×D8 | — | 4 | 4 | no | — |
| 721 | C2×D8 | — | 4 | 1 | no | — |
| 722 | C2×D8 | — | 4 | 1 | no | — |
| 723 | C2×D8 | — | 4 | 1 | no | — |
| 724 | C2×D8 | — | 4 | 1 | no | — |
| 725 | C2×D8 | — | 4 | 1 | no | — |
| 726 | C2×D8 | — | 8 | 2 | no | — |
| 727 | C2×D8 | — | 8 | 1 | no | — |
| 728 | #131 | — | 2 | 1 | no | — |
| 729 | #131 | — | 2 | 1 | no | — |
| 730 | #131 | — | 2 | 2 | no | — |
| 731 | #131 | — | 4 | 1 | no | — |
| 732 | #131 | — | 8 | 1 | no | — |
| 733 | #131 | — | 8 | 1 | no | — |
| 734 | #131 | — | 8 | 1 | no | — |
| 735 | #131 | — | 8 | 1 | no | — |
| 736 | #131 | C8×D4 | 1 | 2 | yes | — |
| 737 | #131 | #444 | 1 | 2 | yes | — |
| 738 | C2×M16 | — | 2 | 1 | no | — |
| 739 | C2×M16 | — | 2 | 1 | no | — |
| 740 | C2×M16 | — | 4 | 1 | no | — |
| 741 | C2×M16 | — | 4 | 1 | no | — |
| 742 | C2×M16 | — | 8 | 1 | no | — |
| 743 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 744 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 745 | C22×C8 | — | 2 | 1 | no | — |
| 746 | C22×C8 | — | 2 | 1 | no | — |
| 747 | C22×C8 | — | 4 | 1 | no | — |
| 748 | C22×C8 | — | 8 | 1 | no | — |
| 749 | C22×C8 | — | 8 | 1 | no | — |
| 750 | C22×C8 | — | 16 | 1 | no | — |
| 751 | C22×C8 | — | 16 | 1 | no | — |
| 752 | C22×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 753 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 754 | C4×Q8 | — | 2 | 1 | no | — |
| 755 | C4×Q8 | — | 4 | 1 | no | — |
| 756 | C4×Q8 | — | 4 | 1 | no | — |
| 757 | C4×Q8 | — | 8 | 1 | no | — |
| 758 | C4×Q8 | — | 8 | 1 | no | — |
| 759 | C4×D4 | — | 2 | 1 | no | — |
| 760 | C4×D4 | — | 4 | 1 | no | — |
| 761 | C4×D4 | — | 4 | 1 | no | — |
| 762 | C4×D4 | — | 4 | 1 | no | — |
| 763 | C4×D4 | — | 8 | 1 | no | — |
| 764 | C4×D4 | — | 8 | 1 | no | — |
| 765 | C4×D4 | — | 8 | 1 | no | — |
| 766 | C4×D4 | — | 8 | 1 | no | — |
| 767 | C4×D4 | — | 8 | 1 | no | — |
| 768 | C4×D4 | — | 8 | 1 | no | — |
| 769 | C4×D4 | — | 8 | 1 | no | — |
| 770 | C4×D4 | — | 8 | 1 | no | — |
| 771 | C4×D4 | — | 8 | 1 | no | — |
| 772 | C4×D4 | — | 8 | 1 | no | — |
| 773 | C4×D4 | — | 8 | 1 | no | — |
| 774 | C4×D4 | — | 8 | 1 | no | — |
| 775 | C4×D4 | — | 16 | 1 | no | — |
| 776 | C4×D4 | — | 16 | 1 | no | — |
| 777 | C4×D4 | — | 16 | 1 | no | — |
| 778 | C4×D4 | — | 16 | 1 | no | — |
| 779 | C4×D4 | — | 16 | 1 | no | — |
| 780 | C4×D4 | — | 16 | 1 | no | — |
| 781 | C4×D4 | — | 16 | 1 | no | — |
| 782 | C4×D4 | — | 16 | 1 | no | — |
| 783 | C4×D4 | — | 16 | 1 | no | — |
| 784 | C4×D4 | — | 16 | 1 | no | — |
| 785 | #117 | — | 2 | 1 | no | — |
| 786 | #117 | — | 4 | 1 | no | — |
| 787 | #117 | — | 4 | 1 | no | — |
| 788 | #117 | — | 8 | 1 | no | — |
| 789 | #117 | — | 8 | 1 | no | — |
| 790 | #117 | — | 8 | 1 | no | — |
| 791 | #117 | — | 16 | 1 | no | — |
| 792 | #117 | — | 16 | 1 | no | — |
| 793 | #117 | #442 | 1 | 1 | yes | characteristic |
| 794 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 795 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 796 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 797 | C2×C4⋊C4 | — | 16 | 1 | no | — |
| 798 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 799 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 800 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 801 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 802 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 803 | C2×C42 | — | 2 | 1 | no | — |
| 804 | C2×C42 | — | 8 | 1 | no | — |
| 805 | C2×C42 | — | 16 | 1 | no | — |
| 806 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 807 | Q32 | — | 2 | 1 | no | — |
| 808 | Q32 | — | 2 | 1 | no | — |
| 809 | Q32 | — | 2 | 1 | no | — |
| 810 | Q32 | C8×D4 | 1 | 2 | yes | — |
| 811 | SD32 | — | 2 | 2 | no | — |
| 812 | SD32 | — | 2 | 2 | no | — |
| 813 | SD32 | — | 4 | 4 | no | — |
| 814 | SD32 | — | 4 | 1 | no | — |
| 815 | SD32 | — | 4 | 1 | no | — |
| 816 | D16 | — | 2 | 1 | no | — |
| 817 | D16 | — | 2 | 2 | no | — |
| 818 | D16 | — | 2 | 1 | no | — |
| 819 | D16 | — | 2 | 1 | no | — |
| 820 | D16 | — | 2 | 2 | no | — |
| 821 | D16 | — | 4 | 4 | no | — |
| 822 | D16 | — | 4 | 1 | no | — |
| 823 | D16 | — | 4 | 1 | no | — |
| 824 | D16 | C8×D4 | 1 | 2 | yes | — |
| 825 | M32 | — | 2 | 1 | no | — |
| 826 | M32 | — | 2 | 2 | no | — |
| 827 | M32 | — | 2 | 2 | no | — |
| 828 | M32 | — | 2 | 1 | no | — |
| 829 | M32 | — | 2 | 1 | no | — |
| 830 | M32 | — | 4 | 2 | no | — |
| 831 | M32 | — | 4 | 1 | no | — |
| 832 | M32 | — | 4 | 1 | no | — |
| 833 | M32 | — | 4 | 2 | no | — |
| 834 | M32 | — | 8 | 1 | no | — |
| 835 | M32 | — | 8 | 1 | no | — |
| 836 | M32 | — | 8 | 1 | no | — |
| 837 | M32 | — | 16 | 2 | no | — |
| 838 | M32 | — | 16 | 2 | no | — |
| 839 | M32 | C8×D4 | 1 | 2 | yes | — |
| 840 | C2×C16 | — | 2 | 1 | no | — |
| 841 | C2×C16 | — | 2 | 1 | no | — |
| 842 | C2×C16 | — | 2 | 1 | no | — |
| 843 | C2×C16 | — | 2 | 2 | no | — |
| 844 | C2×C16 | — | 2 | 2 | no | — |
| 845 | C2×C16 | — | 2 | 1 | no | — |
| 846 | C2×C16 | — | 4 | 2 | no | — |
| 847 | C2×C16 | — | 4 | 1 | no | — |
| 848 | C2×C16 | — | 4 | 1 | no | — |
| 849 | C2×C16 | — | 4 | 1 | no | — |
| 850 | C2×C16 | — | 4 | 1 | no | — |
| 851 | C2×C16 | — | 8 | 1 | no | — |
| 852 | C2×C16 | — | 8 | 1 | no | — |
| 853 | C2×C16 | — | 16 | 2 | no | — |
| 854 | C2×C16 | — | 16 | 2 | no | — |
| 855 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 856 | C2×C16 | #518 | 1 | 1 | yes | characteristic |
| 857 | C2×C16 | #546 | 1 | 1 | yes | characteristic |
| 858 | C2×C16 | #551 | 1 | 1 | yes | characteristic |
| 859 | C2×C16 | C23×C8 | 1 | 1 | yes | characteristic |
| 860 | C2×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 861 | C2×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 862 | C2×C16 | #568 | 1 | 1 | yes | characteristic |
| 863 | #108 | — | 2 | 2 | no | — |
| 864 | #108 | — | 4 | 1 | no | — |
| 865 | #108 | — | 4 | 1 | no | — |
| 866 | #108 | — | 4 | 1 | no | — |
| 867 | #108 | — | 8 | 2 | no | — |
| 868 | #107 | — | 2 | 1 | no | — |
| 869 | #107 | — | 2 | 1 | no | — |
| 870 | #107 | — | 4 | 1 | no | — |
| 871 | #107 | — | 4 | 1 | no | — |
| 872 | #107 | — | 4 | 1 | no | — |
| 873 | #107 | — | 8 | 1 | no | — |
| 874 | #106 | — | 4 | 1 | no | — |
| 875 | #106 | — | 4 | 1 | no | — |
| 876 | #106 | — | 8 | 1 | no | — |
| 877 | C4⋊C8 | — | 4 | 1 | no | — |
| 878 | C4⋊C8 | — | 8 | 1 | no | — |
| 879 | C4⋊C8 | — | 8 | 1 | no | — |
| 880 | C4⋊C8 | — | 8 | 1 | no | — |
| 881 | C4⋊C8 | — | 16 | 1 | no | — |
| 882 | C4⋊C8 | — | 16 | 1 | no | — |
| 883 | #104 | — | 8 | 2 | no | — |
| 884 | #104 | — | 8 | 2 | no | — |
| 885 | #104 | — | 8 | 1 | no | — |
| 886 | #104 | — | 8 | 1 | no | — |
| 887 | #103 | — | 4 | 1 | no | — |
| 888 | #103 | — | 4 | 1 | no | — |
| 889 | #103 | — | 8 | 1 | no | — |
| 890 | #102 | — | 4 | 1 | no | — |
| 891 | #102 | — | 4 | 1 | no | — |
| 892 | #102 | — | 8 | 1 | no | — |
| 893 | #102 | — | 8 | 1 | no | — |
| 894 | #102 | — | 8 | 1 | no | — |
| 895 | #102 | — | 8 | 1 | no | — |
| 896 | #102 | — | 8 | 1 | no | — |
| 897 | #101 | — | 4 | 2 | no | — |
| 898 | #100 | — | 4 | 2 | no | — |
| 899 | #99 | — | 16 | 1 | no | — |
| 900 | C22⋊C8 | — | 4 | 1 | no | — |
| 901 | C22⋊C8 | — | 8 | 1 | no | — |
| 902 | C22⋊C8 | — | 16 | 1 | no | — |
| 903 | C22⋊C8 | — | 16 | 1 | no | — |
| 904 | C22⋊C8 | — | 32 | 2 | no | — |
| 905 | #97 | — | 2 | 1 | no | — |
| 906 | #97 | — | 2 | 1 | no | — |
| 907 | #97 | — | 2 | 1 | no | — |
| 908 | #97 | — | 8 | 1 | no | — |
| 909 | C4×C8 | — | 2 | 1 | no | — |
| 910 | C4×C8 | — | 2 | 1 | no | — |
| 911 | C4×C8 | — | 2 | 1 | no | — |
| 912 | C4×C8 | — | 4 | 1 | no | — |
| 913 | C4×C8 | — | 4 | 1 | no | — |
| 914 | C4×C8 | — | 4 | 1 | no | — |
| 915 | C4×C8 | — | 8 | 1 | no | — |
| 916 | C4×C8 | — | 8 | 1 | no | — |
| 917 | C4×C8 | — | 16 | 1 | no | — |
| 918 | C4×C8 | — | 16 | 1 | no | — |
| 919 | C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 920 | C4×C8 | #546 | 1 | 1 | yes | characteristic |
| 921 | C4×C8 | #576 | 1 | 1 | yes | characteristic |
| 922 | C4×C8 | #577 | 1 | 1 | yes | characteristic |
| 923 | C32 | — | 2 | 2 | no | — |
| 924 | C32 | — | 2 | 2 | no | — |
| 925 | C32 | — | 4 | 2 | no | — |
| 926 | C32 | — | 4 | 2 | no | — |
| 927 | C32 | — | 4 | 1 | no | — |
| 928 | C32 | — | 4 | 1 | no | — |
| 929 | C24 | — | 8 | 1 | no | — |
| 930 | C24 | — | 16 | 1 | no | — |
| 931 | #41 | — | 2 | 1 | no | — |
| 932 | #41 | — | 2 | 1 | no | — |
| 933 | #41 | — | 4 | 2 | no | — |
| 934 | #41 | — | 4 | 2 | no | — |
| 935 | #41 | — | 8 | 4 | no | — |
| 936 | #41 | — | 8 | 1 | no | — |
| 937 | #41 | — | 8 | 1 | no | — |
| 938 | #41 | — | 8 | 4 | no | — |
| 939 | #41 | — | 8 | 1 | no | — |
| 940 | #41 | — | 8 | 1 | no | — |
| 941 | #41 | — | 8 | 1 | no | — |
| 942 | #41 | — | 8 | 1 | no | — |
| 943 | #41 | — | 16 | 2 | no | — |
| 944 | #41 | — | 16 | 2 | no | — |
| 945 | #41 | #1580 | 1 | 2 | yes | — |
| 946 | #41 | AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 947 | C2×Q8 | — | 4 | 1 | no | — |
| 948 | C2×Q8 | — | 4 | 1 | no | — |
| 949 | C2×Q8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 950 | C2×D4 | — | 2 | 1 | no | — |
| 951 | C2×D4 | — | 4 | 1 | no | — |
| 952 | C2×D4 | — | 4 | 1 | no | — |
| 953 | C2×D4 | — | 4 | 2 | no | — |
| 954 | C2×D4 | — | 8 | 4 | no | — |
| 955 | C2×D4 | — | 8 | 1 | no | — |
| 956 | C2×D4 | — | 8 | 4 | no | — |
| 957 | C2×D4 | — | 8 | 1 | no | — |
| 958 | C2×D4 | — | 8 | 1 | no | — |
| 959 | C2×D4 | — | 8 | 1 | no | — |
| 960 | C2×D4 | — | 8 | 1 | no | — |
| 961 | C2×D4 | — | 8 | 1 | no | — |
| 962 | C2×D4 | — | 8 | 1 | no | — |
| 963 | C2×D4 | — | 16 | 2 | no | — |
| 964 | C2×D4 | — | 16 | 1 | no | — |
| 965 | C2×D4 | — | 16 | 2 | no | — |
| 966 | C2×D4 | — | 16 | 1 | no | — |
| 967 | C2×D4 | — | 16 | 4 | no | — |
| 968 | C2×D4 | — | 16 | 4 | no | — |
| 969 | C2×D4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 970 | C22×C4 | — | 2 | 1 | no | — |
| 971 | C22×C4 | — | 2 | 1 | no | — |
| 972 | C22×C4 | — | 4 | 1 | no | — |
| 973 | C22×C4 | — | 8 | 1 | no | — |
| 974 | C22×C4 | — | 8 | 1 | no | — |
| 975 | C22×C4 | — | 8 | 1 | no | — |
| 976 | C22×C4 | — | 8 | 1 | no | — |
| 977 | C22×C4 | — | 8 | 1 | no | — |
| 978 | C22×C4 | — | 16 | 1 | no | — |
| 979 | C22×C4 | — | 16 | 1 | no | — |
| 980 | C22×C4 | — | 16 | 1 | no | — |
| 981 | C22×C4 | — | 16 | 1 | no | — |
| 982 | C22×C4 | — | 16 | 1 | no | — |
| 983 | C22×C4 | — | 16 | 1 | no | — |
| 984 | C22×C4 | — | 16 | 1 | no | — |
| 985 | C22×C4 | — | 32 | 1 | no | — |
| 986 | C22×C4 | — | 32 | 1 | no | — |
| 987 | C22×C4 | — | 64 | 1 | no | — |
| 988 | C22×C4 | — | 64 | 1 | no | — |
| 989 | C22×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 990 | Q16 | — | 2 | 2 | no | — |
| 991 | Q16 | — | 4 | 1 | no | — |
| 992 | Q16 | — | 4 | 1 | no | — |
| 993 | Q16 | — | 4 | 1 | no | — |
| 994 | Q16 | — | 8 | 2 | no | — |
| 995 | SD16 | — | 4 | 2 | no | — |
| 996 | SD16 | — | 4 | 2 | no | — |
| 997 | SD16 | — | 8 | 4 | no | — |
| 998 | SD16 | — | 8 | 2 | no | — |
| 999 | SD16 | — | 8 | 2 | no | — |
| 1000 | SD16 | — | 8 | 1 | no | — |
| 1001 | SD16 | — | 8 | 1 | no | — |
| 1002 | D8 | — | 2 | 2 | no | — |
| 1003 | D8 | — | 4 | 2 | no | — |
| 1004 | D8 | — | 4 | 1 | no | — |
| 1005 | D8 | — | 4 | 1 | no | — |
| 1006 | D8 | — | 4 | 2 | no | — |
| 1007 | D8 | — | 4 | 1 | no | — |
| 1008 | D8 | — | 8 | 4 | no | — |
| 1009 | D8 | — | 8 | 2 | no | — |
| 1010 | D8 | — | 8 | 1 | no | — |
| 1011 | D8 | — | 8 | 1 | no | — |
| 1012 | M16 | — | 2 | 1 | no | — |
| 1013 | M16 | — | 2 | 2 | no | — |
| 1014 | M16 | — | 2 | 2 | no | — |
| 1015 | M16 | — | 2 | 1 | no | — |
| 1016 | M16 | — | 2 | 1 | no | — |
| 1017 | M16 | — | 4 | 2 | no | — |
| 1018 | M16 | — | 4 | 2 | no | — |
| 1019 | M16 | — | 8 | 1 | no | — |
| 1020 | M16 | — | 8 | 1 | no | — |
| 1021 | M16 | — | 8 | 1 | no | — |
| 1022 | M16 | — | 16 | 1 | no | — |
| 1023 | M16 | — | 16 | 1 | no | — |
| 1024 | M16 | #1580 | 1 | 2 | yes | — |
| 1025 | C2×C8 | — | 2 | 1 | no | — |
| 1026 | C2×C8 | — | 2 | 1 | no | — |
| 1027 | C2×C8 | — | 2 | 1 | no | — |
| 1028 | C2×C8 | — | 2 | 2 | no | — |
| 1029 | C2×C8 | — | 2 | 2 | no | — |
| 1030 | C2×C8 | — | 2 | 1 | no | — |
| 1031 | C2×C8 | — | 4 | 2 | no | — |
| 1032 | C2×C8 | — | 8 | 1 | no | — |
| 1033 | C2×C8 | — | 8 | 1 | no | — |
| 1034 | C2×C8 | — | 8 | 1 | no | — |
| 1035 | C2×C8 | — | 8 | 1 | no | — |
| 1036 | C2×C8 | — | 16 | 1 | no | — |
| 1037 | C2×C8 | — | 16 | 1 | no | — |
| 1038 | C2×C8 | — | 16 | 1 | no | — |
| 1039 | C2×C8 | — | 16 | 1 | no | — |
| 1040 | C2×C8 | — | 16 | 1 | no | — |
| 1041 | C2×C8 | — | 32 | 2 | no | — |
| 1042 | C2×C8 | — | 32 | 1 | no | — |
| 1043 | C2×C8 | — | 64 | 1 | no | — |
| 1044 | C2×C8 | #2358 | 1 | 1 | yes | characteristic |
| 1045 | C2×C8 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1046 | C2×C8 | #2933 | 1 | 1 | yes | characteristic |
| 1047 | C2×C8 | #2946 | 1 | 1 | yes | characteristic |
| 1048 | C2×C8 | C2×#444 | 1 | 1 | yes | characteristic |
| 1049 | C2×C8 | #2956 | 1 | 1 | yes | characteristic |
| 1050 | C2×C8 | #3264 | 1 | 1 | yes | characteristic |
| 1051 | C2×C8 | #3306 | 1 | 1 | yes | characteristic |
| 1052 | C4⋊C4 | — | 2 | 1 | no | — |
| 1053 | C4⋊C4 | — | 4 | 1 | no | — |
| 1054 | C4⋊C4 | — | 4 | 1 | no | — |
| 1055 | C4⋊C4 | — | 4 | 1 | no | — |
| 1056 | C4⋊C4 | — | 8 | 1 | no | — |
| 1057 | C4⋊C4 | — | 8 | 1 | no | — |
| 1058 | C4⋊C4 | — | 8 | 1 | no | — |
| 1059 | C4⋊C4 | — | 8 | 1 | no | — |
| 1060 | C4⋊C4 | — | 8 | 1 | no | — |
| 1061 | C4⋊C4 | — | 16 | 1 | no | — |
| 1062 | C4⋊C4 | — | 16 | 1 | no | — |
| 1063 | C22⋊C4 | — | 2 | 1 | no | — |
| 1064 | C22⋊C4 | — | 4 | 1 | no | — |
| 1065 | C22⋊C4 | — | 8 | 1 | no | — |
| 1066 | C22⋊C4 | — | 8 | 1 | no | — |
| 1067 | C22⋊C4 | — | 8 | 1 | no | — |
| 1068 | C22⋊C4 | — | 8 | 1 | no | — |
| 1069 | C22⋊C4 | — | 16 | 1 | no | — |
| 1070 | C22⋊C4 | — | 16 | 1 | no | — |
| 1071 | C22⋊C4 | — | 16 | 1 | no | — |
| 1072 | C22⋊C4 | — | 16 | 1 | no | — |
| 1073 | C22⋊C4 | — | 16 | 1 | no | — |
| 1074 | C22⋊C4 | — | 16 | 1 | no | — |
| 1075 | C42 | — | 2 | 1 | no | — |
| 1076 | C42 | — | 2 | 1 | no | — |
| 1077 | C42 | — | 4 | 1 | no | — |
| 1078 | C42 | — | 8 | 1 | no | — |
| 1079 | C42 | — | 8 | 1 | no | — |
| 1080 | C42 | — | 8 | 1 | no | — |
| 1081 | C42 | — | 8 | 1 | no | — |
| 1082 | C42 | — | 16 | 1 | no | — |
| 1083 | C42 | — | 16 | 1 | no | — |
| 1084 | C42 | #3265 | 1 | 1 | yes | characteristic |
| 1085 | C42 | #3318 | 1 | 1 | yes | characteristic |
| 1086 | C16 | — | 2 | 2 | no | — |
| 1087 | C16 | — | 2 | 1 | no | — |
| 1088 | C16 | — | 2 | 1 | no | — |
| 1089 | C16 | — | 4 | 1 | no | — |
| 1090 | C16 | — | 8 | 1 | no | — |
| 1091 | C16 | — | 8 | 1 | no | — |
| 1092 | C16 | — | 8 | 2 | no | — |
| 1093 | C16 | — | 16 | 1 | no | — |
| 1094 | C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1095 | C16 | #2933 | 1 | 1 | yes | characteristic |
| 1096 | C16 | #2972 | 1 | 1 | yes | characteristic |
| 1097 | C16 | #2977 | 1 | 1 | yes | characteristic |
| 1098 | C23 | — | 2 | 1 | no | — |
| 1099 | C23 | — | 8 | 1 | no | — |
| 1100 | C23 | — | 8 | 1 | no | — |
| 1101 | C23 | — | 8 | 2 | no | — |
| 1102 | C23 | — | 16 | 4 | no | — |
| 1103 | C23 | — | 16 | 1 | no | — |
| 1104 | C23 | — | 16 | 1 | no | — |
| 1105 | C23 | — | 32 | 1 | no | — |
| 1106 | C23 | — | 32 | 1 | no | — |
| 1107 | C23 | — | 64 | 1 | no | — |
| 1108 | C23 | — | 64 | 1 | no | — |
| 1109 | C23 | #33471 | 1 | 1 | yes | characteristic |
| 1110 | Q8 | — | 2 | 1 | no | — |
| 1111 | Q8 | — | 4 | 2 | no | — |
| 1112 | Q8 | — | 8 | 1 | no | — |
| 1113 | Q8 | — | 8 | 1 | no | — |
| 1114 | Q8 | — | 8 | 1 | no | — |
| 1115 | Q8 | #12067 | 1 | 2 | yes | — |
| 1116 | D4 | — | 2 | 2 | no | — |
| 1117 | D4 | — | 2 | 2 | no | — |
| 1118 | D4 | — | 2 | 1 | no | — |
| 1119 | D4 | — | 4 | 2 | no | — |
| 1120 | D4 | — | 8 | 2 | no | — |
| 1121 | D4 | — | 8 | 2 | no | — |
| 1122 | D4 | — | 8 | 1 | no | — |
| 1123 | D4 | — | 8 | 2 | no | — |
| 1124 | D4 | — | 8 | 2 | no | — |
| 1125 | D4 | — | 8 | 1 | no | — |
| 1126 | D4 | — | 8 | 1 | no | — |
| 1127 | D4 | — | 16 | 4 | no | — |
| 1128 | D4 | — | 16 | 4 | no | — |
| 1129 | D4 | — | 16 | 1 | no | — |
| 1130 | D4 | — | 16 | 1 | no | — |
| 1131 | D4 | — | 16 | 1 | no | — |
| 1132 | D4 | — | 16 | 1 | no | — |
| 1133 | D4 | #12067 | 1 | 2 | yes | — |
| 1134 | C2×C4 | — | 2 | 1 | no | — |
| 1135 | C2×C4 | — | 2 | 2 | no | — |
| 1136 | C2×C4 | — | 2 | 2 | no | — |
| 1137 | C2×C4 | — | 2 | 1 | no | — |
| 1138 | C2×C4 | — | 2 | 1 | no | — |
| 1139 | C2×C4 | — | 4 | 1 | no | — |
| 1140 | C2×C4 | — | 8 | 1 | no | — |
| 1141 | C2×C4 | — | 8 | 1 | no | — |
| 1142 | C2×C4 | — | 8 | 2 | no | — |
| 1143 | C2×C4 | — | 8 | 2 | no | — |
| 1144 | C2×C4 | — | 8 | 1 | no | — |
| 1145 | C2×C4 | — | 8 | 1 | no | — |
| 1146 | C2×C4 | — | 8 | 1 | no | — |
| 1147 | C2×C4 | — | 16 | 4 | no | — |
| 1148 | C2×C4 | — | 16 | 1 | no | — |
| 1149 | C2×C4 | — | 16 | 1 | no | — |
| 1150 | C2×C4 | — | 16 | 1 | no | — |
| 1151 | C2×C4 | — | 16 | 1 | no | — |
| 1152 | C2×C4 | — | 16 | 1 | no | — |
| 1153 | C2×C4 | — | 16 | 1 | no | — |
| 1154 | C2×C4 | — | 16 | 1 | no | — |
| 1155 | C2×C4 | — | 32 | 1 | no | — |
| 1156 | C2×C4 | — | 32 | 1 | no | — |
| 1157 | C2×C4 | — | 32 | 1 | no | — |
| 1158 | C2×C4 | — | 32 | 1 | no | — |
| 1159 | C2×C4 | — | 64 | 1 | no | — |
| 1160 | C2×C4 | — | 64 | 1 | no | — |
| 1161 | C2×C4 | — | 64 | 1 | no | — |
| 1162 | C2×C4 | — | 64 | 1 | no | — |
| 1163 | C2×C4 | — | 64 | 1 | no | — |
| 1164 | C2×C4 | C2×#1580 | 1 | 1 | yes | characteristic |
| 1165 | C2×C4 | #18001 | 1 | 1 | yes | characteristic |
| 1166 | C2×C4 | #22858 | 1 | 1 | yes | characteristic |
| 1167 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1168 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1169 | C2×C4 | #33469 | 1 | 1 | yes | characteristic |
| 1170 | C8 | — | 2 | 2 | no | — |
| 1171 | C8 | — | 2 | 1 | no | — |
| 1172 | C8 | — | 2 | 1 | no | — |
| 1173 | C8 | — | 4 | 1 | no | — |
| 1174 | C8 | — | 8 | 2 | no | — |
| 1175 | C8 | — | 16 | 1 | no | — |
| 1176 | C8 | — | 16 | 1 | no | — |
| 1177 | C8 | — | 16 | 1 | no | — |
| 1178 | C8 | — | 32 | 1 | no | — |
| 1179 | C8 | — | 32 | 1 | no | — |
| 1180 | C8 | #17852 | 1 | 1 | yes | characteristic |
| 1181 | C8 | #18020 | 1 | 1 | yes | characteristic |
| 1182 | C8 | #22842 | 1 | 1 | yes | characteristic |
| 1183 | C8 | #22886 | 1 | 1 | yes | characteristic |
| 1184 | C22 | — | 2 | 2 | no | — |
| 1185 | C22 | — | 4 | 1 | no | — |
| 1186 | C22 | — | 8 | 1 | no | — |
| 1187 | C22 | — | 8 | 2 | no | — |
| 1188 | C22 | — | 16 | 1 | no | — |
| 1189 | C22 | — | 16 | 1 | no | — |
| 1190 | C22 | — | 16 | 2 | no | — |
| 1191 | C22 | — | 16 | 1 | no | — |
| 1192 | C22 | — | 32 | 1 | no | — |
| 1193 | C22 | — | 32 | 2 | no | — |
| 1194 | C22 | — | 32 | 1 | no | — |
| 1195 | C22 | — | 32 | 1 | no | — |
| 1196 | C22 | — | 64 | 1 | no | — |
| 1197 | C22 | — | 64 | 4 | no | — |
| 1198 | C22 | #483592 | 1 | 1 | yes | characteristic |
| 1199 | C22 | #484040 | 1 | 1 | yes | characteristic |
| 1200 | C22 | #498116 | 1 | 1 | yes | characteristic |
| 1201 | C4 | — | 2 | 2 | no | — |
| 1202 | C4 | — | 4 | 1 | no | — |
| 1203 | C4 | — | 4 | 1 | no | — |
| 1204 | C4 | — | 8 | 1 | no | — |
| 1205 | C4 | — | 8 | 2 | no | — |
| 1206 | C4 | — | 16 | 1 | no | — |
| 1207 | C4 | — | 16 | 1 | no | — |
| 1208 | C4 | — | 16 | 1 | no | — |
| 1209 | C4 | — | 32 | 1 | no | — |
| 1210 | C4 | — | 32 | 1 | no | — |
| 1211 | C4 | #227634 | 1 | 1 | yes | characteristic |
| 1212 | C4 | C2×#12067 | 1 | 1 | yes | characteristic |
| 1213 | C4 | #484045 | 1 | 1 | yes | characteristic |
| 1214 | C4 | #498120 | 1 | 1 | yes | characteristic |
| 1215 | C2 | — | 2 | 1 | no | — |
| 1216 | C2 | — | 2 | 1 | no | — |
| 1217 | C2 | — | 2 | 1 | no | — |
| 1218 | C2 | — | 4 | 2 | no | — |
| 1219 | C2 | — | 16 | 2 | no | — |
| 1220 | C2 | — | 32 | 1 | no | — |
| 1221 | C2 | — | 32 | 2 | no | — |
| 1222 | C2 | #72227144 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72227144 |
| commutator | C2×C16 | C23×C8 |
| Frattini, cosocle | C2×#346 | C24 |
| prime radical | #512849 | C4 |
| LCS | G ▷ C2×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C4×#131 ◁ #128258 ◁ G | |
| LECS | G ▷ C2×#346 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72227112 | C2 | semidirect |
| 2. #72227099 | C2 | semidirect |
| 3. #72227088 | C2 | semidirect |
| 4. #72227071 | C2 | semidirect |
| 5. #72225541 | C2 | semidirect |
| 6. #72225469 | C2 | semidirect |
| 7. #72225183 | C2 | semidirect |
| 8. #72225070 | C2 | semidirect |
| 9. #72225056 | C2 | semidirect |
| 10. #72225055 | C2 | semidirect |
| 11. #72225037 | C2 | semidirect |
| 13. #72223653 | C2 | semidirect |
| 14. #72216444 | C2 | semidirect |
| 15. #72216321 | C2 | semidirect |
| 23. #483601 | C22 | semidirect |
| 40. C2×#7457 | C22 | semidirect |
| 41. C2×#7457 | C22 | semidirect |
| 48. #150071 | C22 | semidirect |
| 49. C2×#7389 | C22 | semidirect |
| 50. #149504 | C22 | semidirect |
| 51. C2×#7333 | C22 | semidirect |
| 52. #140753 | C22 | semidirect |
| 55. #140357 | C22 | semidirect |
| 63. #129164 | C22 | semidirect |
| 65. #94057 | C22 | semidirect |
| 66. #94056 | C22 | semidirect |
| 67. #94031 | C22 | semidirect |
| 68. #94031 | C22 | semidirect |
| 69. #93997 | C22 | semidirect |
| 70. #93995 | C22 | semidirect |
| 100. #13671 | C8 | semidirect |
| 101. #13669 | C8 | semidirect |
| 238. C2×SD64 | C2×C8 | semidirect |
| 239. C2×D32 | C2×C8 | semidirect |
| 250. #2222 | C2×C8 | semidirect |
| 251. #2221 | C2×C8 | semidirect |
| 360. #1419 | C2×C8 | semidirect |
| 368. #1401 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227112 | 2 |
| #72227099 | 2 |
| #72227088 | 2 |
| #72227071 | 2 |
| #72225541 | 2 |
| #72225469 | 2 |
| #72225183 | 2 |
| #72225070 | 2 |
| #72225056 | 2 |
| #72225055 | 2 |
| #72225037 | 2 |
| #72224989 | 2 |
| #72223653 | 2 |
| #72216444 | 2 |
| #72216321 | 2 |