Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
1778 conjugacy classes of subgroups.
The subgroup lattice has 1107 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72227269 | — | 2 | 2 | no | — |
| 3 | #72227254 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72227251 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72227214 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72227213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72227209 | — | 2 | 1 | no | — |
| 8 | #72227208 | — | 2 | 1 | no | — |
| 9 | #72227202 | — | 2 | 1 | no | — |
| 10 | #72227201 | — | 2 | 1 | no | — |
| 11 | #72227193 | C22 | 1 | 1 | yes | characteristic |
| 12 | #72227192 | C22 | 1 | 1 | yes | characteristic |
| 13 | #72227104 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #72227100 | — | 2 | 1 | no | — |
| 15 | #72227094 | — | 2 | 1 | no | — |
| 16 | #72225535 | C22 | 1 | 1 | yes | characteristic |
| 17 | #72225325 | C22 | 1 | 1 | yes | characteristic |
| 18 | #72225244 | — | 2 | 2 | no | — |
| 19 | #72216429 | — | 2 | 1 | no | — |
| 20 | #72216341 | C2 | 1 | 1 | yes | maximal, characteristic |
| 21 | #72216324 | — | 2 | 2 | no | — |
| 22 | #72216315 | — | 2 | 2 | no | — |
| 23 | #72216299 | — | 2 | 1 | no | — |
| 24 | #72216298 | C4 | 1 | 1 | yes | characteristic |
| 25 | #72216290 | C4 | 1 | 1 | yes | characteristic |
| 26 | #72216288 | C4 | 1 | 1 | yes | characteristic |
| 27 | #72216275 | C4 | 1 | 1 | yes | characteristic |
| 28 | #72216249 | C22 | 1 | 1 | yes | characteristic |
| 29 | C8×#1398 | C22 | 1 | 1 | yes | characteristic |
| 30 | #72216165 | C22 | 1 | 1 | yes | characteristic |
| 31 | #513051 | — | 2 | 2 | no | — |
| 32 | C2×#13658 | — | 4 | 4 | no | — |
| 33 | #496112 | — | 2 | 1 | no | — |
| 34 | #496112 | — | 2 | 1 | no | — |
| 35 | #496104 | — | 2 | 1 | no | — |
| 36 | #496104 | D4 | 1 | 2 | yes | — |
| 37 | #491465 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | C2×#12515 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C2×#12067 | — | 4 | 1 | no | — |
| 40 | #231412 | — | 2 | 2 | no | — |
| 41 | #231412 | — | 4 | 1 | no | — |
| 42 | #213237 | — | 2 | 1 | no | — |
| 43 | C4×#1712 | — | 2 | 1 | no | — |
| 44 | #152984 | — | 4 | 4 | no | — |
| 45 | #152899 | — | 2 | 2 | no | — |
| 46 | #152896 | — | 2 | 2 | no | — |
| 47 | #152407 | — | 2 | 2 | no | — |
| 48 | #151979 | — | 2 | 1 | no | — |
| 49 | C4×#1398 | — | 2 | 1 | no | — |
| 50 | #151728 | — | 2 | 2 | no | — |
| 51 | #151726 | C8 | 1 | 2 | yes | complemented |
| 52 | #151724 | C8 | 1 | 2 | yes | complemented |
| 53 | #151019 | — | 2 | 1 | no | — |
| 54 | C2×#7389 | — | 4 | 1 | no | — |
| 55 | C2×#7389 | — | 4 | 1 | no | — |
| 56 | #149495 | — | 2 | 1 | no | — |
| 57 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #141684 | — | 2 | 1 | no | — |
| 60 | #141684 | — | 2 | 1 | no | — |
| 61 | #141681 | — | 2 | 1 | no | — |
| 62 | #141681 | D4 | 1 | 2 | yes | — |
| 63 | #141671 | — | 2 | 1 | no | — |
| 64 | #141665 | — | 2 | 1 | no | — |
| 65 | #140846 | — | 2 | 2 | no | — |
| 66 | #140751 | — | 4 | 1 | no | — |
| 67 | #136707 | — | 4 | 2 | no | — |
| 68 | #135781 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | #135778 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C4×#1368 | D4 | 1 | 1 | yes | characteristic |
| 71 | C4×#1368 | D4 | 1 | 1 | yes | characteristic |
| 72 | #129086 | D4 | 1 | 1 | yes | characteristic |
| 73 | #129076 | — | 2 | 1 | no | — |
| 74 | #129049 | — | 2 | 1 | no | — |
| 75 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 76 | #124220 | — | 2 | 2 | no | — |
| 77 | #122919 | — | 2 | 1 | no | — |
| 78 | #122516 | — | 4 | 1 | no | — |
| 79 | #122468 | — | 4 | 1 | no | — |
| 80 | #102005 | — | 2 | 2 | no | — |
| 81 | #102005 | — | 4 | 1 | no | — |
| 82 | #99599 | — | 4 | 2 | no | — |
| 83 | #96889 | — | 2 | 1 | no | — |
| 84 | #96889 | D4 | 1 | 1 | yes | characteristic |
| 85 | #94016 | — | 2 | 1 | no | — |
| 86 | #93921 | — | 4 | 2 | no | — |
| 87 | #93269 | — | 2 | 1 | no | — |
| 88 | #93261 | — | 2 | 1 | no | — |
| 89 | #92914 | — | 2 | 1 | no | — |
| 90 | #92862 | — | 4 | 2 | no | — |
| 91 | C2×#2263 | — | 4 | 4 | no | — |
| 92 | #33713 | — | 2 | 1 | no | — |
| 93 | #33713 | — | 2 | 1 | no | — |
| 94 | C2×#2246 | — | 2 | 1 | no | — |
| 95 | C2×#2246 | C22⋊C4 | 1 | 2 | yes | — |
| 96 | C2×#2179 | — | 4 | 2 | no | — |
| 97 | C2×#2179 | — | 4 | 1 | no | — |
| 98 | C2×#2179 | — | 4 | 1 | no | — |
| 99 | C2×#2177 | — | 4 | 2 | no | — |
| 100 | C2×#2177 | — | 4 | 1 | no | — |
| 101 | C2×#2177 | — | 4 | 1 | no | — |
| 102 | #23173 | — | 4 | 2 | no | — |
| 103 | #21705 | — | 4 | 1 | no | — |
| 104 | C4×#493 | — | 2 | 2 | no | — |
| 105 | C4×#493 | — | 4 | 1 | no | — |
| 106 | C4×#493 | — | 4 | 1 | no | — |
| 107 | #19603 | — | 2 | 1 | no | — |
| 108 | C2×#1712 | — | 2 | 1 | no | — |
| 109 | #17956 | — | 4 | 1 | no | — |
| 110 | #17956 | — | 4 | 1 | no | — |
| 111 | C2×#1580 | — | 4 | 2 | no | — |
| 112 | C2×#1580 | — | 8 | 1 | no | — |
| 113 | #13729 | — | 4 | 4 | no | — |
| 114 | #13727 | — | 2 | 4 | no | — |
| 115 | #13725 | — | 2 | 4 | no | — |
| 116 | #13658 | — | 8 | 8 | no | — |
| 117 | #13658 | — | 8 | 8 | no | — |
| 118 | C2×#1426 | — | 4 | 4 | no | — |
| 119 | #13627 | — | 4 | 1 | no | — |
| 120 | C2×#1419 | — | 4 | 4 | no | — |
| 121 | C2×#1418 | — | 4 | 4 | no | — |
| 122 | C2×#1398 | — | 2 | 2 | no | — |
| 123 | C2×#1398 | — | 2 | 2 | no | — |
| 124 | C2×#1398 | — | 4 | 1 | no | — |
| 125 | C4×M64 | — | 2 | 1 | no | — |
| 126 | C4×M64 | — | 2 | 1 | no | — |
| 127 | #13242 | — | 4 | 2 | no | — |
| 128 | #13242 | — | 4 | 1 | no | — |
| 129 | #13242 | — | 4 | 1 | no | — |
| 130 | #13239 | — | 4 | 2 | no | — |
| 131 | #13239 | — | 4 | 1 | no | — |
| 132 | #13239 | — | 4 | 1 | no | — |
| 133 | #13208 | — | 4 | 1 | no | — |
| 134 | #13208 | — | 4 | 1 | no | — |
| 135 | #13202 | — | 2 | 2 | no | — |
| 136 | #13202 | — | 2 | 2 | no | — |
| 137 | #12909 | — | 2 | 1 | no | — |
| 138 | #12909 | — | 2 | 1 | no | — |
| 139 | #12906 | — | 2 | 1 | no | — |
| 140 | #12906 | C22⋊C4 | 1 | 2 | yes | — |
| 141 | #12653 | — | 2 | 1 | no | — |
| 142 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 144 | #12518 | — | 2 | 1 | no | — |
| 145 | #12518 | — | 2 | 1 | no | — |
| 146 | #12517 | — | 2 | 1 | no | — |
| 147 | #12516 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 148 | #12515 | — | 2 | 1 | no | — |
| 149 | #12515 | — | 2 | 1 | no | — |
| 150 | #12515 | C2×C8 | 1 | 2 | yes | — |
| 151 | #12515 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 152 | #12515 | M16 | 1 | 2 | yes | — |
| 153 | #12067 | — | 8 | 2 | no | — |
| 154 | #12067 | — | 8 | 2 | no | — |
| 155 | #12012 | — | 4 | 1 | no | — |
| 156 | C2×#1368 | — | 2 | 1 | no | — |
| 157 | C2×#1368 | — | 2 | 1 | no | — |
| 158 | C2×#1367 | — | 2 | 1 | no | — |
| 159 | C2×#1333 | — | 4 | 2 | no | — |
| 160 | C2×#1333 | — | 4 | 2 | no | — |
| 161 | #11411 | — | 4 | 1 | no | — |
| 162 | C2×#1313 | — | 4 | 1 | no | — |
| 163 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×#1311 | #41 | 1 | 1 | yes | characteristic |
| 165 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 166 | C2×C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 167 | #9856 | — | 4 | 1 | no | — |
| 168 | #9844 | — | 4 | 1 | no | — |
| 169 | #9844 | — | 4 | 1 | no | — |
| 170 | #9824 | — | 2 | 2 | no | — |
| 171 | #9824 | — | 4 | 1 | no | — |
| 172 | #9824 | — | 4 | 1 | no | — |
| 173 | #9674 | — | 4 | 2 | no | — |
| 174 | #9674 | — | 4 | 2 | no | — |
| 175 | #9659 | — | 4 | 2 | no | — |
| 176 | #9659 | — | 8 | 1 | no | — |
| 177 | #8947 | — | 8 | 2 | no | — |
| 178 | #8947 | — | 8 | 2 | no | — |
| 179 | #8823 | — | 2 | 1 | no | — |
| 180 | #8818 | — | 2 | 1 | no | — |
| 181 | C4×#334 | — | 2 | 1 | no | — |
| 182 | C4×#334 | — | 2 | 1 | no | — |
| 183 | C4×#334 | — | 2 | 1 | no | — |
| 184 | #8260 | — | 2 | 1 | no | — |
| 185 | #8260 | — | 4 | 1 | no | — |
| 186 | C4×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | #7569 | — | 4 | 2 | no | — |
| 188 | #7466 | — | 4 | 1 | no | — |
| 189 | #7455 | — | 2 | 2 | no | — |
| 190 | #7455 | — | 4 | 1 | no | — |
| 191 | #7389 | — | 8 | 2 | no | — |
| 192 | #7389 | — | 8 | 2 | no | — |
| 193 | #7330 | — | 4 | 2 | no | — |
| 194 | #7329 | — | 2 | 1 | no | — |
| 195 | #7329 | — | 2 | 1 | no | — |
| 196 | C8×C32 | — | 2 | 1 | no | — |
| 197 | C8×C32 | C2×C8 | 1 | 2 | yes | complemented |
| 198 | #7156 | — | 2 | 1 | no | — |
| 199 | #7156 | D8 | 1 | 2 | yes | — |
| 200 | #7151 | — | 2 | 1 | no | — |
| 201 | #7148 | — | 4 | 1 | no | — |
| 202 | #7137 | — | 4 | 1 | no | — |
| 203 | #7112 | — | 8 | 2 | no | — |
| 204 | #7099 | — | 2 | 2 | no | — |
| 205 | #7099 | — | 4 | 1 | no | — |
| 206 | #7074 | — | 8 | 2 | no | — |
| 207 | #7070 | — | 8 | 2 | no | — |
| 208 | #7015 | — | 4 | 1 | no | — |
| 209 | #7015 | D8 | 1 | 2 | yes | — |
| 210 | C2×#508 | — | 4 | 2 | no | — |
| 211 | C2×#508 | — | 4 | 1 | no | — |
| 212 | C2×#508 | — | 4 | 1 | no | — |
| 213 | C22×D16 | — | 4 | 1 | no | — |
| 214 | C22×D16 | — | 4 | 1 | no | — |
| 215 | C22×D16 | — | 4 | 2 | no | — |
| 216 | #3169 | — | 4 | 1 | no | — |
| 217 | #3169 | — | 4 | 1 | no | — |
| 218 | #3147 | — | 4 | 1 | no | — |
| 219 | C2×#493 | — | 2 | 2 | no | — |
| 220 | C2×#493 | — | 4 | 1 | no | — |
| 221 | C2×#493 | — | 4 | 1 | no | — |
| 222 | C2×#443 | — | 8 | 1 | no | — |
| 223 | C2×#443 | — | 8 | 1 | no | — |
| 224 | C2×C4×D8 | — | 4 | 2 | no | — |
| 225 | C2×C4×D8 | — | 4 | 2 | no | — |
| 226 | C2×C4×D8 | — | 8 | 1 | no | — |
| 227 | C2×C4×D8 | — | 8 | 1 | no | — |
| 228 | C2×C4×D8 | — | 16 | 1 | no | — |
| 229 | #2931 | — | 8 | 1 | no | — |
| 230 | C2×C8×D4 | — | 8 | 2 | no | — |
| 231 | C2×C8×D4 | — | 8 | 2 | no | — |
| 232 | C4×#127 | — | 4 | 2 | no | — |
| 233 | #2263 | — | 8 | 8 | no | — |
| 234 | #2263 | — | 8 | 8 | no | — |
| 235 | C2×SD64 | — | 4 | 8 | no | — |
| 236 | C2×D32 | — | 4 | 8 | no | — |
| 237 | C2×M64 | — | 2 | 2 | no | — |
| 238 | C2×M64 | — | 2 | 2 | no | — |
| 239 | C2×M64 | — | 8 | 1 | no | — |
| 240 | #2249 | — | 4 | 2 | no | — |
| 241 | #2249 | — | 4 | 1 | no | — |
| 242 | #2249 | — | 4 | 1 | no | — |
| 243 | #2248 | — | 4 | 1 | no | — |
| 244 | #2248 | — | 4 | 1 | no | — |
| 245 | #2247 | — | 2 | 1 | no | — |
| 246 | #2247 | — | 2 | 1 | no | — |
| 247 | #2246 | — | 2 | 1 | no | — |
| 248 | #2246 | — | 2 | 2 | no | — |
| 249 | #2246 | — | 2 | 2 | no | — |
| 250 | #2246 | — | 2 | 1 | no | — |
| 251 | #2246 | — | 2 | 2 | no | — |
| 252 | #2246 | — | 4 | 2 | no | — |
| 253 | #2246 | — | 4 | 1 | no | — |
| 254 | #2246 | — | 4 | 1 | no | — |
| 255 | #2246 | C22⋊C8 | 1 | 4 | yes | — |
| 256 | #2179 | — | 8 | 4 | no | — |
| 257 | #2179 | — | 8 | 4 | no | — |
| 258 | #2179 | — | 8 | 1 | no | — |
| 259 | #2179 | — | 8 | 1 | no | — |
| 260 | #2179 | — | 8 | 1 | no | — |
| 261 | #2179 | — | 8 | 1 | no | — |
| 262 | #2179 | — | 16 | 1 | no | — |
| 263 | #2179 | — | 16 | 1 | no | — |
| 264 | #2177 | — | 8 | 1 | no | — |
| 265 | #2177 | — | 8 | 1 | no | — |
| 266 | #2177 | — | 8 | 1 | no | — |
| 267 | #2177 | — | 8 | 1 | no | — |
| 268 | #2177 | — | 8 | 4 | no | — |
| 269 | #2177 | — | 8 | 4 | no | — |
| 270 | #2177 | — | 16 | 1 | no | — |
| 271 | #2177 | — | 16 | 1 | no | — |
| 272 | #2162 | — | 8 | 1 | no | — |
| 273 | C2×#368 | — | 4 | 2 | no | — |
| 274 | C2×#368 | — | 4 | 1 | no | — |
| 275 | C2×#368 | — | 4 | 1 | no | — |
| 276 | C2×#367 | — | 4 | 1 | no | — |
| 277 | C2×#367 | — | 4 | 2 | no | — |
| 278 | C2×#367 | — | 4 | 1 | no | — |
| 279 | C2×C4⋊C16 | — | 4 | 1 | no | — |
| 280 | C2×#359 | — | 8 | 2 | no | — |
| 281 | C2×#359 | — | 8 | 1 | no | — |
| 282 | C2×#359 | — | 8 | 1 | no | — |
| 283 | C2×#357 | — | 4 | 2 | no | — |
| 284 | C2×#357 | — | 4 | 2 | no | — |
| 285 | C2×#357 | — | 8 | 2 | no | — |
| 286 | C2×#346 | — | 2 | 1 | no | — |
| 287 | C2×#346 | — | 2 | 1 | no | — |
| 288 | C2×#346 | — | 4 | 1 | no | — |
| 289 | C2×#346 | C2×D8 | 1 | 1 | yes | characteristic |
| 290 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 291 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 292 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 293 | C2×C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 294 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×C16 | #121 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C16 | #123 | 1 | 1 | yes | characteristic |
| 297 | #1974 | — | 8 | 1 | no | — |
| 298 | #1974 | — | 8 | 1 | no | — |
| 299 | #1970 | — | 4 | 2 | no | — |
| 300 | #1970 | — | 4 | 2 | no | — |
| 301 | #1970 | — | 8 | 1 | no | — |
| 302 | #1970 | — | 8 | 1 | no | — |
| 303 | #1970 | — | 16 | 1 | no | — |
| 304 | #1962 | — | 8 | 1 | no | — |
| 305 | #1957 | — | 4 | 2 | no | — |
| 306 | #1957 | — | 4 | 2 | no | — |
| 307 | #1957 | — | 4 | 2 | no | — |
| 308 | #1954 | — | 8 | 2 | no | — |
| 309 | #1954 | — | 8 | 2 | no | — |
| 310 | #1869 | — | 16 | 2 | no | — |
| 311 | #1848 | — | 4 | 1 | no | — |
| 312 | #1845 | — | 2 | 2 | no | — |
| 313 | #1845 | — | 4 | 1 | no | — |
| 314 | #1845 | — | 4 | 1 | no | — |
| 315 | C4×C4⋊C8 | — | 2 | 2 | no | — |
| 316 | C4×C4⋊C8 | — | 4 | 1 | no | — |
| 317 | C4×C4⋊C8 | — | 4 | 1 | no | — |
| 318 | C42×C8 | #120 | 1 | 1 | yes | characteristic |
| 319 | C42×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 320 | C42×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 321 | #1713 | — | 2 | 1 | no | — |
| 322 | #1712 | — | 2 | 2 | no | — |
| 323 | #1712 | — | 2 | 1 | no | — |
| 324 | #1712 | — | 2 | 2 | no | — |
| 325 | #1712 | — | 4 | 1 | no | — |
| 326 | #1712 | — | 4 | 1 | no | — |
| 327 | #1709 | — | 4 | 1 | no | — |
| 328 | #1706 | — | 4 | 1 | no | — |
| 329 | #1706 | — | 4 | 1 | no | — |
| 330 | #1589 | — | 8 | 1 | no | — |
| 331 | #1589 | — | 8 | 1 | no | — |
| 332 | #1589 | — | 16 | 1 | no | — |
| 333 | #1580 | — | 8 | 4 | no | — |
| 334 | #1580 | — | 16 | 2 | no | — |
| 335 | #1580 | — | 16 | 4 | no | — |
| 336 | C8×D8 | — | 8 | 1 | no | — |
| 337 | C8×D8 | — | 8 | 1 | no | — |
| 338 | C8×D8 | — | 16 | 1 | no | — |
| 339 | #1567 | — | 4 | 1 | no | — |
| 340 | #1567 | — | 4 | 1 | no | — |
| 341 | C2×#334 | — | 2 | 2 | no | — |
| 342 | C2×#334 | — | 4 | 1 | no | — |
| 343 | C2×#334 | — | 4 | 1 | no | — |
| 344 | #1492 | — | 8 | 1 | no | — |
| 345 | #1492 | — | 8 | 1 | no | — |
| 346 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 347 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 348 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 349 | C2×D4⋊C8 | — | 8 | 2 | no | — |
| 350 | C2×#322 | — | 4 | 1 | no | — |
| 351 | C2×#322 | — | 8 | 1 | no | — |
| 352 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×C82 | #121 | 1 | 1 | yes | characteristic |
| 354 | C2×C82 | #135 | 1 | 1 | yes | characteristic |
| 355 | C2×C82 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 356 | #1426 | — | 8 | 8 | no | — |
| 357 | C4⋊C32 | — | 4 | 2 | no | — |
| 358 | C4⋊C32 | — | 8 | 1 | no | — |
| 359 | #1419 | — | 8 | 8 | no | — |
| 360 | #1418 | — | 8 | 8 | no | — |
| 361 | #1398 | — | 2 | 8 | no | — |
| 362 | #1398 | — | 4 | 4 | no | — |
| 363 | #1398 | — | 8 | 1 | no | — |
| 364 | #1398 | — | 8 | 1 | no | — |
| 365 | #1397 | — | 2 | 2 | no | — |
| 366 | #1397 | — | 4 | 1 | no | — |
| 367 | C4×C32 | — | 2 | 2 | no | — |
| 368 | C4×C32 | — | 4 | 1 | no | — |
| 369 | #1374 | — | 4 | 1 | no | — |
| 370 | #1370 | — | 8 | 1 | no | — |
| 371 | #1368 | — | 4 | 1 | no | — |
| 372 | #1368 | — | 4 | 1 | no | — |
| 373 | #1368 | — | 4 | 1 | no | — |
| 374 | #1368 | — | 4 | 1 | no | — |
| 375 | #1367 | — | 4 | 1 | no | — |
| 376 | #1367 | — | 4 | 1 | no | — |
| 377 | #1367 | — | 4 | 2 | no | — |
| 378 | #1333 | — | 8 | 4 | no | — |
| 379 | #1333 | — | 16 | 2 | no | — |
| 380 | #1313 | — | 8 | 1 | no | — |
| 381 | #1313 | — | 8 | 1 | no | — |
| 382 | #1312 | — | 8 | 1 | no | — |
| 383 | #1311 | — | 2 | 1 | no | — |
| 384 | #1311 | — | 2 | 1 | no | — |
| 385 | #1311 | — | 4 | 1 | no | — |
| 386 | #1311 | — | 8 | 1 | no | — |
| 387 | C8×C16 | — | 2 | 1 | no | — |
| 388 | C8×C16 | — | 2 | 1 | no | — |
| 389 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 390 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 391 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 392 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 393 | #1277 | — | 4 | 1 | no | — |
| 394 | #1277 | — | 4 | 1 | no | — |
| 395 | #1277 | — | 4 | 1 | no | — |
| 396 | #1273 | — | 4 | 1 | no | — |
| 397 | #1273 | — | 8 | 1 | no | — |
| 398 | #1270 | — | 16 | 2 | no | — |
| 399 | C2×#135 | — | 8 | 1 | no | — |
| 400 | C2×#135 | — | 8 | 1 | no | — |
| 401 | C22×D8 | — | 4 | 2 | no | — |
| 402 | C22×D8 | — | 4 | 2 | no | — |
| 403 | C22×D8 | — | 8 | 1 | no | — |
| 404 | C22×D8 | — | 8 | 1 | no | — |
| 405 | C22×D8 | — | 16 | 1 | no | — |
| 406 | C2×#131 | — | 16 | 1 | no | — |
| 407 | C23×C8 | — | 16 | 2 | no | — |
| 408 | #532 | — | 8 | 1 | no | — |
| 409 | C2×#127 | — | 4 | 2 | no | — |
| 410 | C2×C4×D4 | — | 8 | 2 | no | — |
| 411 | C2×C4×D4 | — | 8 | 2 | no | — |
| 412 | C2×C4×D4 | — | 8 | 2 | no | — |
| 413 | #508 | — | 8 | 4 | no | — |
| 414 | #508 | — | 8 | 4 | no | — |
| 415 | #508 | — | 8 | 1 | no | — |
| 416 | #508 | — | 8 | 1 | no | — |
| 417 | #508 | — | 8 | 1 | no | — |
| 418 | #508 | — | 8 | 1 | no | — |
| 419 | #508 | — | 16 | 1 | no | — |
| 420 | #508 | — | 16 | 1 | no | — |
| 421 | C2×Q32 | — | 4 | 2 | no | — |
| 422 | C2×Q32 | — | 4 | 1 | no | — |
| 423 | C2×Q32 | — | 4 | 1 | no | — |
| 424 | C2×SD32 | — | 8 | 2 | no | — |
| 425 | C2×SD32 | — | 8 | 1 | no | — |
| 426 | C2×SD32 | — | 8 | 1 | no | — |
| 427 | C2×D16 | — | 4 | 4 | no | — |
| 428 | C2×D16 | — | 4 | 2 | no | — |
| 429 | C2×D16 | — | 4 | 2 | no | — |
| 430 | C2×D16 | — | 4 | 1 | no | — |
| 431 | C2×D16 | — | 4 | 2 | no | — |
| 432 | C2×D16 | — | 4 | 1 | no | — |
| 433 | C2×D16 | — | 4 | 2 | no | — |
| 434 | C2×D16 | — | 4 | 2 | no | — |
| 435 | C2×D16 | — | 8 | 4 | no | — |
| 436 | C2×D16 | — | 8 | 4 | no | — |
| 437 | C2×D16 | — | 8 | 2 | no | — |
| 438 | C2×D16 | — | 8 | 1 | no | — |
| 439 | C2×D16 | — | 8 | 1 | no | — |
| 440 | C2×D16 | — | 8 | 1 | no | — |
| 441 | C2×D16 | — | 8 | 1 | no | — |
| 442 | C2×D16 | — | 16 | 1 | no | — |
| 443 | C2×D16 | — | 16 | 1 | no | — |
| 444 | C22×C16 | — | 2 | 1 | no | — |
| 445 | C22×C16 | — | 2 | 1 | no | — |
| 446 | C22×C16 | — | 8 | 1 | no | — |
| 447 | C22×C16 | C4×D8 | 1 | 1 | yes | characteristic |
| 448 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 449 | C22×C16 | #459 | 1 | 1 | yes | characteristic |
| 450 | C22×C16 | #463 | 1 | 1 | yes | characteristic |
| 451 | #500 | — | 4 | 1 | no | — |
| 452 | #500 | — | 4 | 1 | no | — |
| 453 | #495 | — | 8 | 1 | no | — |
| 454 | #495 | — | 8 | 1 | no | — |
| 455 | #494 | — | 4 | 1 | no | — |
| 456 | #493 | — | 2 | 4 | no | — |
| 457 | #493 | — | 4 | 2 | no | — |
| 458 | #493 | — | 4 | 1 | no | — |
| 459 | #493 | — | 4 | 2 | no | — |
| 460 | #493 | — | 4 | 1 | no | — |
| 461 | #493 | — | 4 | 2 | no | — |
| 462 | #493 | — | 4 | 2 | no | — |
| 463 | #493 | — | 4 | 1 | no | — |
| 464 | #493 | — | 4 | 2 | no | — |
| 465 | #493 | — | 4 | 2 | no | — |
| 466 | #493 | — | 4 | 2 | no | — |
| 467 | #493 | — | 8 | 1 | no | — |
| 468 | #493 | — | 8 | 1 | no | — |
| 469 | #493 | — | 16 | 1 | no | — |
| 470 | #492 | — | 8 | 1 | no | — |
| 471 | #486 | — | 8 | 1 | no | — |
| 472 | #486 | — | 8 | 1 | no | — |
| 473 | #466 | — | 8 | 1 | no | — |
| 474 | #466 | — | 8 | 1 | no | — |
| 475 | #466 | — | 16 | 1 | no | — |
| 476 | #443 | — | 16 | 1 | no | — |
| 477 | #443 | — | 16 | 1 | no | — |
| 478 | #443 | — | 16 | 2 | no | — |
| 479 | #443 | — | 16 | 2 | no | — |
| 480 | #443 | — | 16 | 1 | no | — |
| 481 | #443 | — | 16 | 1 | no | — |
| 482 | C4×D8 | — | 8 | 2 | no | — |
| 483 | C4×D8 | — | 8 | 2 | no | — |
| 484 | C4×D8 | — | 8 | 2 | no | — |
| 485 | C4×D8 | — | 8 | 2 | no | — |
| 486 | C4×D8 | — | 8 | 1 | no | — |
| 487 | C4×D8 | — | 8 | 1 | no | — |
| 488 | C4×D8 | — | 16 | 1 | no | — |
| 489 | C4×D8 | — | 16 | 2 | no | — |
| 490 | C4×D8 | — | 16 | 2 | no | — |
| 491 | C4×D8 | — | 16 | 2 | no | — |
| 492 | C4×D8 | — | 16 | 2 | no | — |
| 493 | C4×D8 | — | 32 | 1 | no | — |
| 494 | C4×D8 | — | 32 | 1 | no | — |
| 495 | C4×D8 | — | 32 | 2 | no | — |
| 496 | C4×D8 | — | 32 | 2 | no | — |
| 497 | #436 | — | 16 | 1 | no | — |
| 498 | #436 | — | 16 | 1 | no | — |
| 499 | C8×D4 | — | 16 | 1 | no | — |
| 500 | C8×D4 | — | 16 | 1 | no | — |
| 501 | C8×D4 | — | 16 | 4 | no | — |
| 502 | C8×D4 | — | 16 | 4 | no | — |
| 503 | C8×D4 | — | 32 | 2 | no | — |
| 504 | C8×D4 | — | 32 | 2 | no | — |
| 505 | C2×#108 | — | 8 | 1 | no | — |
| 506 | C2×#108 | — | 8 | 1 | no | — |
| 507 | C2×#107 | — | 4 | 2 | no | — |
| 508 | C2×#107 | — | 4 | 2 | no | — |
| 509 | C2×#107 | — | 8 | 1 | no | — |
| 510 | C2×#107 | — | 8 | 1 | no | — |
| 511 | C2×#107 | — | 16 | 1 | no | — |
| 512 | #423 | — | 8 | 1 | no | — |
| 513 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 514 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 515 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 516 | C2×#104 | — | 16 | 1 | no | — |
| 517 | C2×#104 | — | 16 | 1 | no | — |
| 518 | C2×#102 | — | 8 | 2 | no | — |
| 519 | C2×#102 | — | 8 | 2 | no | — |
| 520 | C2×#102 | — | 8 | 2 | no | — |
| 521 | C2×#102 | — | 8 | 2 | no | — |
| 522 | C2×#102 | — | 16 | 2 | no | — |
| 523 | #408 | — | 16 | 1 | no | — |
| 524 | C2×C22⋊C8 | — | 16 | 2 | no | — |
| 525 | C2×C22⋊C8 | — | 16 | 2 | no | — |
| 526 | C2×C22⋊C8 | — | 16 | 2 | no | — |
| 527 | C2×C4×C8 | — | 2 | 1 | no | — |
| 528 | C2×C4×C8 | — | 2 | 1 | no | — |
| 529 | C2×C4×C8 | — | 4 | 1 | no | — |
| 530 | C2×C4×C8 | — | 4 | 2 | no | — |
| 531 | C2×C4×C8 | — | 8 | 1 | no | — |
| 532 | C2×C4×C8 | — | 8 | 1 | no | — |
| 533 | C2×C4×C8 | #386 | 1 | 1 | yes | characteristic |
| 534 | C2×C4×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 535 | C2×C4×C8 | #442 | 1 | 1 | yes | characteristic |
| 536 | C2×C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 537 | C2×C4×C8 | #449 | 1 | 1 | yes | characteristic |
| 538 | C2×C4×C8 | #449 | 1 | 1 | yes | characteristic |
| 539 | C2×C4×C8 | #453 | 1 | 1 | yes | characteristic |
| 540 | C2×C4×C8 | #453 | 1 | 1 | yes | characteristic |
| 541 | C2×C4×C8 | #459 | 1 | 1 | yes | characteristic |
| 542 | C2×C4×C8 | #463 | 1 | 1 | yes | characteristic |
| 543 | #390 | — | 8 | 2 | no | — |
| 544 | #390 | — | 8 | 2 | no | — |
| 545 | #390 | — | 8 | 2 | no | — |
| 546 | #384 | — | 4 | 2 | no | — |
| 547 | C43 | #447 | 1 | 1 | yes | characteristic |
| 548 | SD64 | — | 8 | 16 | no | — |
| 549 | D32 | — | 8 | 16 | no | — |
| 550 | M64 | — | 2 | 4 | no | — |
| 551 | M64 | — | 2 | 4 | no | — |
| 552 | M64 | — | 2 | 4 | no | — |
| 553 | M64 | — | 4 | 2 | no | — |
| 554 | M64 | — | 16 | 1 | no | — |
| 555 | M64 | — | 16 | 1 | no | — |
| 556 | C2×C32 | — | 2 | 4 | no | — |
| 557 | C2×C32 | — | 4 | 2 | no | — |
| 558 | C2×C32 | — | 8 | 2 | no | — |
| 559 | #368 | — | 8 | 4 | no | — |
| 560 | #368 | — | 8 | 1 | no | — |
| 561 | #368 | — | 8 | 1 | no | — |
| 562 | #368 | — | 16 | 1 | no | — |
| 563 | #367 | — | 8 | 1 | no | — |
| 564 | #367 | — | 8 | 1 | no | — |
| 565 | #367 | — | 8 | 4 | no | — |
| 566 | #367 | — | 16 | 1 | no | — |
| 567 | C4⋊C16 | — | 8 | 1 | no | — |
| 568 | C4⋊C16 | — | 8 | 2 | no | — |
| 569 | C4⋊C16 | — | 8 | 1 | no | — |
| 570 | #359 | — | 16 | 4 | no | — |
| 571 | #359 | — | 16 | 1 | no | — |
| 572 | #359 | — | 16 | 1 | no | — |
| 573 | #359 | — | 16 | 2 | no | — |
| 574 | #357 | — | 8 | 2 | no | — |
| 575 | #357 | — | 8 | 2 | no | — |
| 576 | #357 | — | 16 | 2 | no | — |
| 577 | #357 | — | 16 | 4 | no | — |
| 578 | C22⋊C16 | — | 16 | 1 | no | — |
| 579 | #346 | — | 2 | 4 | no | — |
| 580 | #346 | — | 2 | 1 | no | — |
| 581 | #346 | — | 2 | 1 | no | — |
| 582 | #346 | — | 2 | 1 | no | — |
| 583 | #346 | — | 2 | 1 | no | — |
| 584 | #346 | — | 4 | 1 | no | — |
| 585 | #346 | — | 4 | 1 | no | — |
| 586 | #346 | — | 4 | 2 | no | — |
| 587 | #346 | — | 8 | 1 | no | — |
| 588 | #346 | — | 8 | 1 | no | — |
| 589 | C4×C16 | — | 2 | 1 | no | — |
| 590 | C4×C16 | — | 2 | 1 | no | — |
| 591 | C4×C16 | — | 2 | 1 | no | — |
| 592 | C4×C16 | — | 2 | 1 | no | — |
| 593 | C4×C16 | — | 2 | 1 | no | — |
| 594 | C4×C16 | — | 16 | 1 | no | — |
| 595 | C4×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 596 | C4×C16 | #408 | 1 | 1 | yes | characteristic |
| 597 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 598 | C4×C16 | #435 | 1 | 1 | yes | characteristic |
| 599 | C4×C16 | #443 | 1 | 1 | yes | characteristic |
| 600 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 601 | #336 | — | 4 | 2 | no | — |
| 602 | #336 | — | 8 | 1 | no | — |
| 603 | #336 | — | 8 | 1 | no | — |
| 604 | #335 | — | 8 | 1 | no | — |
| 605 | #335 | — | 8 | 1 | no | — |
| 606 | #335 | — | 16 | 1 | no | — |
| 607 | #334 | — | 4 | 2 | no | — |
| 608 | #334 | — | 4 | 2 | no | — |
| 609 | #334 | — | 8 | 1 | no | — |
| 610 | #334 | — | 8 | 1 | no | — |
| 611 | #334 | — | 8 | 2 | no | — |
| 612 | D4⋊C8 | — | 16 | 1 | no | — |
| 613 | D4⋊C8 | — | 16 | 1 | no | — |
| 614 | D4⋊C8 | — | 16 | 2 | no | — |
| 615 | D4⋊C8 | — | 16 | 4 | no | — |
| 616 | D4⋊C8 | — | 16 | 4 | no | — |
| 617 | D4⋊C8 | — | 32 | 2 | no | — |
| 618 | D4⋊C8 | — | 32 | 2 | no | — |
| 619 | #322 | — | 8 | 1 | no | — |
| 620 | #322 | — | 8 | 1 | no | — |
| 621 | #322 | — | 16 | 2 | no | — |
| 622 | C82 | — | 2 | 1 | no | — |
| 623 | C82 | — | 2 | 1 | no | — |
| 624 | C82 | — | 2 | 1 | no | — |
| 625 | C82 | — | 2 | 1 | no | — |
| 626 | C82 | — | 4 | 1 | no | — |
| 627 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 628 | C82 | #435 | 1 | 1 | yes | characteristic |
| 629 | C82 | #443 | 1 | 1 | yes | characteristic |
| 630 | C82 | #444 | 1 | 1 | yes | characteristic |
| 631 | C2×#41 | — | 16 | 1 | no | — |
| 632 | C22×D4 | — | 8 | 2 | no | — |
| 633 | C22×D4 | — | 8 | 2 | no | — |
| 634 | C22×D4 | — | 8 | 2 | no | — |
| 635 | C23×C4 | — | 16 | 2 | no | — |
| 636 | #135 | — | 16 | 2 | no | — |
| 637 | #135 | — | 16 | 2 | no | — |
| 638 | #135 | — | 16 | 1 | no | — |
| 639 | #135 | — | 16 | 1 | no | — |
| 640 | #135 | — | 16 | 1 | no | — |
| 641 | #135 | — | 16 | 1 | no | — |
| 642 | C2×Q16 | — | 8 | 1 | no | — |
| 643 | C2×Q16 | — | 8 | 1 | no | — |
| 644 | C2×SD16 | — | 16 | 1 | no | — |
| 645 | C2×SD16 | — | 16 | 1 | no | — |
| 646 | C2×D8 | — | 4 | 4 | no | — |
| 647 | C2×D8 | — | 4 | 4 | no | — |
| 648 | C2×D8 | — | 8 | 2 | no | — |
| 649 | C2×D8 | — | 8 | 1 | no | — |
| 650 | C2×D8 | — | 8 | 2 | no | — |
| 651 | C2×D8 | — | 8 | 1 | no | — |
| 652 | C2×D8 | — | 8 | 2 | no | — |
| 653 | C2×D8 | — | 8 | 2 | no | — |
| 654 | C2×D8 | — | 8 | 2 | no | — |
| 655 | C2×D8 | — | 8 | 2 | no | — |
| 656 | C2×D8 | — | 8 | 2 | no | — |
| 657 | C2×D8 | — | 8 | 2 | no | — |
| 658 | C2×D8 | — | 8 | 2 | no | — |
| 659 | C2×D8 | — | 8 | 2 | no | — |
| 660 | C2×D8 | — | 8 | 1 | no | — |
| 661 | C2×D8 | — | 8 | 1 | no | — |
| 662 | C2×D8 | — | 16 | 2 | no | — |
| 663 | C2×D8 | — | 16 | 2 | no | — |
| 664 | C2×D8 | — | 16 | 2 | no | — |
| 665 | C2×D8 | — | 16 | 2 | no | — |
| 666 | C2×D8 | — | 16 | 2 | no | — |
| 667 | C2×D8 | — | 16 | 2 | no | — |
| 668 | C2×D8 | — | 16 | 1 | no | — |
| 669 | C2×D8 | — | 32 | 1 | no | — |
| 670 | C2×D8 | — | 32 | 1 | no | — |
| 671 | C2×D8 | — | 32 | 2 | no | — |
| 672 | C2×D8 | — | 32 | 2 | no | — |
| 673 | #131 | — | 32 | 1 | no | — |
| 674 | #131 | — | 32 | 1 | no | — |
| 675 | #131 | — | 32 | 1 | no | — |
| 676 | #131 | — | 32 | 1 | no | — |
| 677 | C2×M16 | — | 16 | 1 | no | — |
| 678 | C2×M16 | — | 32 | 1 | no | — |
| 679 | C22×C8 | — | 2 | 1 | no | — |
| 680 | C22×C8 | — | 2 | 1 | no | — |
| 681 | C22×C8 | — | 2 | 1 | no | — |
| 682 | C22×C8 | — | 8 | 2 | no | — |
| 683 | C22×C8 | — | 8 | 2 | no | — |
| 684 | C22×C8 | — | 16 | 1 | no | — |
| 685 | C22×C8 | — | 32 | 1 | no | — |
| 686 | C22×C8 | — | 32 | 4 | no | — |
| 687 | C22×C8 | — | 32 | 4 | no | — |
| 688 | C22×C8 | — | 64 | 2 | no | — |
| 689 | C22×C8 | #1620 | 1 | 1 | yes | characteristic |
| 690 | C22×C8 | #1621 | 1 | 1 | yes | characteristic |
| 691 | C22×C8 | #1879 | 1 | 1 | yes | characteristic |
| 692 | C22×C8 | #1887 | 1 | 1 | yes | characteristic |
| 693 | C22×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 694 | C22×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 695 | C4⋊Q8 | — | 8 | 1 | no | — |
| 696 | #127 | — | 4 | 4 | no | — |
| 697 | #127 | — | 8 | 2 | no | — |
| 698 | #127 | — | 8 | 2 | no | — |
| 699 | #127 | — | 8 | 2 | no | — |
| 700 | #127 | — | 8 | 1 | no | — |
| 701 | #124 | — | 16 | 1 | no | — |
| 702 | #121 | — | 16 | 1 | no | — |
| 703 | #121 | — | 16 | 1 | no | — |
| 704 | C4×D4 | — | 16 | 2 | no | — |
| 705 | C4×D4 | — | 16 | 2 | no | — |
| 706 | C4×D4 | — | 16 | 2 | no | — |
| 707 | C4×D4 | — | 16 | 2 | no | — |
| 708 | C4×D4 | — | 16 | 2 | no | — |
| 709 | C4×D4 | — | 16 | 2 | no | — |
| 710 | C4×D4 | — | 16 | 2 | no | — |
| 711 | C4×D4 | — | 16 | 2 | no | — |
| 712 | C4×D4 | — | 16 | 1 | no | — |
| 713 | C4×D4 | — | 16 | 1 | no | — |
| 714 | C4×D4 | — | 32 | 2 | no | — |
| 715 | C4×D4 | — | 32 | 2 | no | — |
| 716 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 717 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 718 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 719 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 720 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 721 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 722 | C2×C42 | — | 2 | 1 | no | — |
| 723 | C2×C42 | — | 2 | 1 | no | — |
| 724 | C2×C42 | #1619 | 1 | 1 | yes | characteristic |
| 725 | C2×C42 | #1621 | 1 | 1 | yes | characteristic |
| 726 | C2×C42 | #1879 | 1 | 1 | yes | characteristic |
| 727 | Q32 | — | 8 | 4 | no | — |
| 728 | Q32 | — | 8 | 1 | no | — |
| 729 | Q32 | — | 8 | 1 | no | — |
| 730 | Q32 | — | 16 | 1 | no | — |
| 731 | SD32 | — | 16 | 4 | no | — |
| 732 | SD32 | — | 16 | 2 | no | — |
| 733 | SD32 | — | 16 | 1 | no | — |
| 734 | SD32 | — | 16 | 1 | no | — |
| 735 | D16 | — | 8 | 4 | no | — |
| 736 | D16 | — | 8 | 8 | no | — |
| 737 | D16 | — | 8 | 2 | no | — |
| 738 | D16 | — | 8 | 2 | no | — |
| 739 | D16 | — | 8 | 1 | no | — |
| 740 | D16 | — | 8 | 1 | no | — |
| 741 | D16 | — | 8 | 2 | no | — |
| 742 | D16 | — | 8 | 2 | no | — |
| 743 | D16 | — | 16 | 2 | no | — |
| 744 | D16 | — | 16 | 2 | no | — |
| 745 | D16 | — | 16 | 1 | no | — |
| 746 | D16 | — | 16 | 4 | no | — |
| 747 | C2×C16 | — | 2 | 2 | no | — |
| 748 | C2×C16 | — | 2 | 2 | no | — |
| 749 | C2×C16 | — | 2 | 1 | no | — |
| 750 | C2×C16 | — | 2 | 1 | no | — |
| 751 | C2×C16 | — | 2 | 1 | no | — |
| 752 | C2×C16 | — | 2 | 1 | no | — |
| 753 | C2×C16 | — | 2 | 2 | no | — |
| 754 | C2×C16 | — | 2 | 1 | no | — |
| 755 | C2×C16 | — | 2 | 1 | no | — |
| 756 | C2×C16 | — | 2 | 1 | no | — |
| 757 | C2×C16 | — | 2 | 1 | no | — |
| 758 | C2×C16 | — | 2 | 1 | no | — |
| 759 | C2×C16 | — | 2 | 1 | no | — |
| 760 | C2×C16 | — | 4 | 1 | no | — |
| 761 | C2×C16 | — | 4 | 1 | no | — |
| 762 | C2×C16 | — | 16 | 1 | no | — |
| 763 | C2×C16 | — | 16 | 1 | no | — |
| 764 | C2×C16 | — | 16 | 1 | no | — |
| 765 | C2×C16 | — | 16 | 2 | no | — |
| 766 | C2×C16 | C8×D8 | 1 | 1 | yes | characteristic |
| 767 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 768 | C2×C16 | #1581 | 1 | 1 | yes | characteristic |
| 769 | C2×C16 | #1586 | 1 | 1 | yes | characteristic |
| 770 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 771 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 772 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 773 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 774 | #108 | — | 16 | 2 | no | — |
| 775 | #108 | — | 16 | 1 | no | — |
| 776 | #108 | — | 16 | 1 | no | — |
| 777 | #107 | — | 8 | 1 | no | — |
| 778 | #107 | — | 8 | 1 | no | — |
| 779 | #107 | — | 8 | 2 | no | — |
| 780 | #107 | — | 8 | 2 | no | — |
| 781 | #107 | — | 16 | 2 | no | — |
| 782 | #107 | — | 16 | 2 | no | — |
| 783 | #107 | — | 16 | 1 | no | — |
| 784 | #107 | — | 32 | 1 | no | — |
| 785 | #107 | — | 32 | 2 | no | — |
| 786 | C4⋊C8 | — | 8 | 2 | no | — |
| 787 | C4⋊C8 | — | 8 | 2 | no | — |
| 788 | C4⋊C8 | — | 8 | 2 | no | — |
| 789 | C4⋊C8 | — | 8 | 2 | no | — |
| 790 | C4⋊C8 | — | 16 | 1 | no | — |
| 791 | C4⋊C8 | — | 16 | 1 | no | — |
| 792 | C4⋊C8 | — | 16 | 1 | no | — |
| 793 | C4⋊C8 | — | 16 | 1 | no | — |
| 794 | #104 | — | 32 | 1 | no | — |
| 795 | #104 | — | 32 | 1 | no | — |
| 796 | #104 | — | 32 | 2 | no | — |
| 797 | #102 | — | 16 | 2 | no | — |
| 798 | #102 | — | 16 | 2 | no | — |
| 799 | #102 | — | 16 | 2 | no | — |
| 800 | #102 | — | 16 | 4 | no | — |
| 801 | #102 | — | 16 | 1 | no | — |
| 802 | #102 | — | 16 | 1 | no | — |
| 803 | #102 | — | 32 | 2 | no | — |
| 804 | #102 | — | 32 | 2 | no | — |
| 805 | #102 | — | 32 | 4 | no | — |
| 806 | C22⋊C8 | — | 32 | 1 | no | — |
| 807 | C22⋊C8 | — | 32 | 1 | no | — |
| 808 | C22⋊C8 | — | 32 | 4 | no | — |
| 809 | C22⋊C8 | — | 32 | 4 | no | — |
| 810 | C22⋊C8 | — | 64 | 2 | no | — |
| 811 | C4×C8 | — | 2 | 1 | no | — |
| 812 | C4×C8 | — | 2 | 1 | no | — |
| 813 | C4×C8 | — | 2 | 1 | no | — |
| 814 | C4×C8 | — | 2 | 1 | no | — |
| 815 | C4×C8 | — | 2 | 2 | no | — |
| 816 | C4×C8 | — | 2 | 1 | no | — |
| 817 | C4×C8 | — | 2 | 1 | no | — |
| 818 | C4×C8 | — | 2 | 1 | no | — |
| 819 | C4×C8 | — | 2 | 1 | no | — |
| 820 | C4×C8 | — | 2 | 1 | no | — |
| 821 | C4×C8 | — | 2 | 1 | no | — |
| 822 | C4×C8 | — | 2 | 1 | no | — |
| 823 | C4×C8 | — | 4 | 1 | no | — |
| 824 | C4×C8 | — | 4 | 2 | no | — |
| 825 | C4×C8 | — | 8 | 2 | no | — |
| 826 | C4×C8 | — | 8 | 1 | no | — |
| 827 | C4×C8 | — | 8 | 2 | no | — |
| 828 | C4×C8 | — | 8 | 2 | no | — |
| 829 | C4×C8 | — | 16 | 1 | no | — |
| 830 | C4×C8 | — | 16 | 1 | no | — |
| 831 | C4×C8 | — | 16 | 1 | no | — |
| 832 | C4×C8 | — | 16 | 1 | no | — |
| 833 | C4×C8 | C8×D8 | 1 | 1 | yes | characteristic |
| 834 | C4×C8 | #1580 | 1 | 1 | yes | characteristic |
| 835 | C4×C8 | #1581 | 1 | 1 | yes | characteristic |
| 836 | C4×C8 | #1586 | 1 | 1 | yes | characteristic |
| 837 | C4×C8 | #1869 | 1 | 1 | yes | characteristic |
| 838 | C4×C8 | #1876 | 1 | 1 | yes | characteristic |
| 839 | C4×C8 | #1876 | 1 | 1 | yes | characteristic |
| 840 | C4×C8 | #1884 | 1 | 1 | yes | characteristic |
| 841 | C4×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 842 | C4×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 843 | C32 | — | 2 | 8 | no | — |
| 844 | C32 | — | 4 | 4 | no | — |
| 845 | C32 | — | 16 | 2 | no | — |
| 846 | C24 | — | 16 | 2 | no | — |
| 847 | #41 | — | 32 | 1 | no | — |
| 848 | #41 | — | 32 | 1 | no | — |
| 849 | #41 | — | 32 | 1 | no | — |
| 850 | #41 | — | 32 | 1 | no | — |
| 851 | C2×Q8 | — | 16 | 1 | no | — |
| 852 | C2×D4 | — | 8 | 4 | no | — |
| 853 | C2×D4 | — | 8 | 4 | no | — |
| 854 | C2×D4 | — | 8 | 4 | no | — |
| 855 | C2×D4 | — | 16 | 2 | no | — |
| 856 | C2×D4 | — | 16 | 2 | no | — |
| 857 | C2×D4 | — | 16 | 2 | no | — |
| 858 | C2×D4 | — | 16 | 2 | no | — |
| 859 | C2×D4 | — | 16 | 1 | no | — |
| 860 | C2×D4 | — | 16 | 1 | no | — |
| 861 | C2×D4 | — | 16 | 2 | no | — |
| 862 | C2×D4 | — | 16 | 2 | no | — |
| 863 | C2×D4 | — | 16 | 2 | no | — |
| 864 | C2×D4 | — | 16 | 2 | no | — |
| 865 | C2×D4 | — | 16 | 2 | no | — |
| 866 | C2×D4 | — | 16 | 2 | no | — |
| 867 | C2×D4 | — | 16 | 2 | no | — |
| 868 | C2×D4 | — | 16 | 1 | no | — |
| 869 | C2×D4 | — | 32 | 2 | no | — |
| 870 | C2×D4 | — | 32 | 2 | no | — |
| 871 | C2×D4 | — | 32 | 1 | no | — |
| 872 | C22×C4 | — | 2 | 1 | no | — |
| 873 | C22×C4 | — | 2 | 1 | no | — |
| 874 | C22×C4 | — | 16 | 2 | no | — |
| 875 | C22×C4 | — | 32 | 2 | no | — |
| 876 | C22×C4 | — | 32 | 2 | no | — |
| 877 | C22×C4 | — | 32 | 2 | no | — |
| 878 | C22×C4 | — | 32 | 2 | no | — |
| 879 | C22×C4 | — | 32 | 2 | no | — |
| 880 | C22×C4 | — | 32 | 2 | no | — |
| 881 | C22×C4 | — | 32 | 1 | no | — |
| 882 | C22×C4 | #9061 | 1 | 1 | yes | characteristic |
| 883 | C22×C4 | #13033 | 1 | 1 | yes | characteristic |
| 884 | C22×C4 | #13037 | 1 | 1 | yes | characteristic |
| 885 | Q16 | — | 16 | 2 | no | — |
| 886 | Q16 | — | 16 | 1 | no | — |
| 887 | Q16 | — | 16 | 1 | no | — |
| 888 | SD16 | — | 32 | 2 | no | — |
| 889 | SD16 | — | 32 | 1 | no | — |
| 890 | SD16 | — | 32 | 1 | no | — |
| 891 | D8 | — | 8 | 4 | no | — |
| 892 | D8 | — | 8 | 4 | no | — |
| 893 | D8 | — | 16 | 4 | no | — |
| 894 | D8 | — | 16 | 4 | no | — |
| 895 | D8 | — | 16 | 2 | no | — |
| 896 | D8 | — | 16 | 1 | no | — |
| 897 | D8 | — | 16 | 2 | no | — |
| 898 | D8 | — | 16 | 2 | no | — |
| 899 | D8 | — | 16 | 4 | no | — |
| 900 | D8 | — | 16 | 2 | no | — |
| 901 | D8 | — | 16 | 1 | no | — |
| 902 | D8 | — | 32 | 2 | no | — |
| 903 | D8 | — | 32 | 2 | no | — |
| 904 | D8 | — | 32 | 2 | no | — |
| 905 | D8 | — | 32 | 1 | no | — |
| 906 | D8 | — | 32 | 2 | no | — |
| 907 | D8 | — | 32 | 4 | no | — |
| 908 | D8 | — | 32 | 4 | no | — |
| 909 | M16 | — | 32 | 1 | no | — |
| 910 | M16 | — | 32 | 1 | no | — |
| 911 | M16 | — | 64 | 1 | no | — |
| 912 | M16 | — | 64 | 1 | no | — |
| 913 | C2×C8 | — | 2 | 1 | no | — |
| 914 | C2×C8 | — | 2 | 1 | no | — |
| 915 | C2×C8 | — | 2 | 1 | no | — |
| 916 | C2×C8 | — | 2 | 2 | no | — |
| 917 | C2×C8 | — | 2 | 1 | no | — |
| 918 | C2×C8 | — | 2 | 1 | no | — |
| 919 | C2×C8 | — | 2 | 1 | no | — |
| 920 | C2×C8 | — | 2 | 1 | no | — |
| 921 | C2×C8 | — | 2 | 1 | no | — |
| 922 | C2×C8 | — | 2 | 1 | no | — |
| 923 | C2×C8 | — | 2 | 1 | no | — |
| 924 | C2×C8 | — | 4 | 1 | no | — |
| 925 | C2×C8 | — | 4 | 2 | no | — |
| 926 | C2×C8 | — | 4 | 1 | no | — |
| 927 | C2×C8 | — | 4 | 1 | no | — |
| 928 | C2×C8 | — | 4 | 1 | no | — |
| 929 | C2×C8 | — | 4 | 1 | no | — |
| 930 | C2×C8 | — | 8 | 1 | no | — |
| 931 | C2×C8 | — | 16 | 2 | no | — |
| 932 | C2×C8 | — | 16 | 2 | no | — |
| 933 | C2×C8 | — | 16 | 2 | no | — |
| 934 | C2×C8 | — | 16 | 2 | no | — |
| 935 | C2×C8 | — | 16 | 2 | no | — |
| 936 | C2×C8 | — | 16 | 2 | no | — |
| 937 | C2×C8 | — | 32 | 1 | no | — |
| 938 | C2×C8 | — | 32 | 1 | no | — |
| 939 | C2×C8 | — | 32 | 1 | no | — |
| 940 | C2×C8 | — | 32 | 1 | no | — |
| 941 | C2×C8 | — | 64 | 1 | no | — |
| 942 | C2×C8 | — | 64 | 1 | no | — |
| 943 | C2×C8 | — | 64 | 8 | no | — |
| 944 | C2×C8 | #8947 | 1 | 1 | yes | characteristic |
| 945 | C2×C8 | #8959 | 1 | 1 | yes | characteristic |
| 946 | C2×C8 | #9053 | 1 | 1 | yes | characteristic |
| 947 | C2×C8 | #9069 | 1 | 1 | yes | characteristic |
| 948 | C2×C8 | #12067 | 1 | 1 | yes | characteristic |
| 949 | C2×C8 | #12067 | 1 | 1 | yes | characteristic |
| 950 | C2×C8 | #12078 | 1 | 1 | yes | characteristic |
| 951 | C2×C8 | #12078 | 1 | 1 | yes | characteristic |
| 952 | C2×C8 | #13033 | 1 | 1 | yes | characteristic |
| 953 | C2×C8 | #13036 | 1 | 1 | yes | characteristic |
| 954 | C2×C8 | #13037 | 1 | 1 | yes | characteristic |
| 955 | C2×C8 | #13040 | 1 | 1 | yes | characteristic |
| 956 | C4⋊C4 | — | 16 | 2 | no | — |
| 957 | C4⋊C4 | — | 16 | 2 | no | — |
| 958 | C4⋊C4 | — | 16 | 1 | no | — |
| 959 | C4⋊C4 | — | 16 | 2 | no | — |
| 960 | C4⋊C4 | — | 16 | 2 | no | — |
| 961 | C4⋊C4 | — | 16 | 1 | no | — |
| 962 | C4⋊C4 | — | 32 | 2 | no | — |
| 963 | C22⋊C4 | — | 32 | 2 | no | — |
| 964 | C22⋊C4 | — | 32 | 2 | no | — |
| 965 | C22⋊C4 | — | 32 | 2 | no | — |
| 966 | C22⋊C4 | — | 32 | 2 | no | — |
| 967 | C22⋊C4 | — | 32 | 1 | no | — |
| 968 | C22⋊C4 | — | 32 | 1 | no | — |
| 969 | C22⋊C4 | — | 64 | 2 | no | — |
| 970 | C42 | — | 2 | 1 | no | — |
| 971 | C42 | — | 2 | 1 | no | — |
| 972 | C42 | — | 2 | 1 | no | — |
| 973 | C42 | — | 4 | 1 | no | — |
| 974 | C42 | — | 4 | 1 | no | — |
| 975 | C42 | — | 8 | 1 | no | — |
| 976 | C42 | #8947 | 1 | 1 | yes | characteristic |
| 977 | C42 | #9053 | 1 | 1 | yes | characteristic |
| 978 | C42 | #12310 | 1 | 2 | yes | — |
| 979 | C42 | #13036 | 1 | 1 | yes | characteristic |
| 980 | C42 | #13040 | 1 | 1 | yes | characteristic |
| 981 | C16 | — | 2 | 2 | no | — |
| 982 | C16 | — | 2 | 2 | no | — |
| 983 | C16 | — | 2 | 1 | no | — |
| 984 | C16 | — | 2 | 1 | no | — |
| 985 | C16 | — | 4 | 2 | no | — |
| 986 | C16 | — | 4 | 1 | no | — |
| 987 | C16 | — | 4 | 1 | no | — |
| 988 | C16 | — | 32 | 1 | no | — |
| 989 | C16 | — | 32 | 2 | no | — |
| 990 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 991 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 992 | C16 | #12078 | 1 | 1 | yes | characteristic |
| 993 | C16 | #12078 | 1 | 1 | yes | characteristic |
| 994 | C23 | — | 16 | 4 | no | — |
| 995 | C23 | — | 32 | 2 | no | — |
| 996 | C23 | — | 32 | 2 | no | — |
| 997 | C23 | — | 32 | 2 | no | — |
| 998 | C23 | — | 32 | 2 | no | — |
| 999 | C23 | — | 32 | 2 | no | — |
| 1000 | C23 | — | 32 | 2 | no | — |
| 1001 | C23 | — | 32 | 1 | no | — |
| 1002 | C23 | #137546 | 1 | 1 | yes | characteristic |
| 1003 | Q8 | — | 32 | 1 | no | — |
| 1004 | Q8 | — | 32 | 1 | no | — |
| 1005 | D4 | — | 16 | 4 | no | — |
| 1006 | D4 | — | 16 | 4 | no | — |
| 1007 | D4 | — | 16 | 4 | no | — |
| 1008 | D4 | — | 16 | 4 | no | — |
| 1009 | D4 | — | 32 | 4 | no | — |
| 1010 | D4 | — | 32 | 2 | no | — |
| 1011 | D4 | — | 32 | 2 | no | — |
| 1012 | D4 | — | 32 | 2 | no | — |
| 1013 | D4 | — | 32 | 1 | no | — |
| 1014 | D4 | — | 32 | 1 | no | — |
| 1015 | D4 | — | 32 | 1 | no | — |
| 1016 | D4 | — | 32 | 1 | no | — |
| 1017 | D4 | — | 32 | 2 | no | — |
| 1018 | D4 | — | 32 | 2 | no | — |
| 1019 | D4 | — | 64 | 2 | no | — |
| 1020 | D4 | — | 64 | 1 | no | — |
| 1021 | D4 | — | 64 | 1 | no | — |
| 1022 | C2×C4 | — | 2 | 1 | no | — |
| 1023 | C2×C4 | — | 2 | 1 | no | — |
| 1024 | C2×C4 | — | 2 | 2 | no | — |
| 1025 | C2×C4 | — | 4 | 1 | no | — |
| 1026 | C2×C4 | — | 4 | 1 | no | — |
| 1027 | C2×C4 | — | 4 | 1 | no | — |
| 1028 | C2×C4 | — | 4 | 1 | no | — |
| 1029 | C2×C4 | — | 4 | 1 | no | — |
| 1030 | C2×C4 | — | 4 | 1 | no | — |
| 1031 | C2×C4 | — | 32 | 2 | no | — |
| 1032 | C2×C4 | — | 32 | 2 | no | — |
| 1033 | C2×C4 | — | 32 | 2 | no | — |
| 1034 | C2×C4 | — | 32 | 1 | no | — |
| 1035 | C2×C4 | — | 64 | 2 | no | — |
| 1036 | C2×C4 | — | 64 | 2 | no | — |
| 1037 | C2×C4 | — | 64 | 2 | no | — |
| 1038 | C2×C4 | — | 64 | 2 | no | — |
| 1039 | C2×C4 | — | 64 | 1 | no | — |
| 1040 | C2×C4 | — | 64 | 1 | no | — |
| 1041 | C2×C4 | #99599 | 1 | 1 | yes | characteristic |
| 1042 | C2×C4 | #136703 | 1 | 1 | yes | characteristic |
| 1043 | C2×C4 | #136707 | 1 | 1 | yes | characteristic |
| 1044 | C2×C4 | #137499 | 1 | 1 | yes | characteristic |
| 1045 | C2×C4 | #137501 | 1 | 1 | yes | characteristic |
| 1046 | C2×C4 | #137546 | 1 | 1 | yes | characteristic |
| 1047 | C2×C4 | #137549 | 1 | 1 | yes | characteristic |
| 1048 | C2×C4 | #137549 | 1 | 1 | yes | characteristic |
| 1049 | C2×C4 | #137550 | 1 | 1 | yes | characteristic |
| 1050 | C2×C4 | #137551 | 1 | 1 | yes | characteristic |
| 1051 | C8 | — | 2 | 2 | no | — |
| 1052 | C8 | — | 2 | 1 | no | — |
| 1053 | C8 | — | 2 | 1 | no | — |
| 1054 | C8 | — | 2 | 1 | no | — |
| 1055 | C8 | — | 2 | 1 | no | — |
| 1056 | C8 | — | 2 | 1 | no | — |
| 1057 | C8 | — | 4 | 1 | no | — |
| 1058 | C8 | — | 4 | 1 | no | — |
| 1059 | C8 | — | 4 | 1 | no | — |
| 1060 | C8 | — | 8 | 1 | no | — |
| 1061 | C8 | — | 8 | 1 | no | — |
| 1062 | C8 | — | 32 | 2 | no | — |
| 1063 | C8 | — | 32 | 2 | no | — |
| 1064 | C8 | — | 64 | 1 | no | — |
| 1065 | C8 | — | 64 | 1 | no | — |
| 1066 | C8 | #136703 | 1 | 1 | yes | characteristic |
| 1067 | C8 | #136707 | 1 | 1 | yes | characteristic |
| 1068 | C8 | #137499 | 1 | 1 | yes | characteristic |
| 1069 | C8 | #137501 | 1 | 1 | yes | characteristic |
| 1070 | C8 | AGL(1,ℤ/32) | 1 | 2 | yes | — |
| 1071 | C22 | — | 2 | 1 | no | — |
| 1072 | C22 | — | 2 | 1 | no | — |
| 1073 | C22 | — | 32 | 4 | no | — |
| 1074 | C22 | — | 32 | 4 | no | — |
| 1075 | C22 | — | 32 | 4 | no | — |
| 1076 | C22 | — | 64 | 2 | no | — |
| 1077 | C22 | — | 64 | 2 | no | — |
| 1078 | C22 | — | 64 | 2 | no | — |
| 1079 | C22 | — | 64 | 2 | no | — |
| 1080 | C22 | — | 64 | 1 | no | — |
| 1081 | C22 | — | 64 | 1 | no | — |
| 1082 | C22 | — | 64 | 1 | no | — |
| 1083 | C22 | #72214397 | 1 | 1 | yes | characteristic |
| 1084 | C22 | #72225244 | 1 | 1 | yes | characteristic |
| 1085 | C22 | #72225245 | 1 | 1 | yes | characteristic |
| 1086 | C4 | — | 2 | 1 | no | — |
| 1087 | C4 | — | 2 | 1 | no | — |
| 1088 | C4 | — | 2 | 1 | no | — |
| 1089 | C4 | — | 4 | 2 | no | — |
| 1090 | C4 | — | 8 | 1 | no | — |
| 1091 | C4 | — | 64 | 2 | no | — |
| 1092 | C4 | — | 64 | 1 | no | — |
| 1093 | C4 | #72216426 | 1 | 1 | yes | characteristic |
| 1094 | C4 | #72225049 | 1 | 1 | yes | characteristic |
| 1095 | C4 | #72225081 | 1 | 1 | yes | characteristic |
| 1096 | C4 | #72225244 | 1 | 1 | yes | characteristic |
| 1097 | C4 | #72225245 | 1 | 1 | yes | characteristic |
| 1098 | C4 | #72225246 | 1 | 1 | yes | characteristic |
| 1099 | C2 | — | 2 | 1 | no | — |
| 1100 | C2 | — | 2 | 1 | no | — |
| 1101 | C2 | — | 64 | 4 | no | — |
| 1102 | C2 | — | 128 | 1 | no | — |
| 1103 | C2 | #72225250 | 1 | 1 | yes | characteristic |
| 1104 | C2 | #72227097 | 1 | 1 | yes | characteristic |
| 1105 | C2 | #72227292 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #72225244 |
| commutator | C8×C16 | C22×C8 |
| Frattini, cosocle | C8×#346 | C23 |
| prime radical | #72216275 | C4 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C42 ◁ C4×C82 ◁ #72225535 ◁ 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. #72227282 | C2 | semidirect |
| 3. #72227254 | C2 | semidirect |
| 4. #72227251 | C2 | semidirect |
| 5. #72227214 | C2 | semidirect |
| 6. #72227213 | C2 | semidirect |
| 13. #72227104 | C2 | semidirect |
| 51. #151726 | C8 | semidirect |
| 52. #151724 | C8 | semidirect |
| 147. #12516 | C2×C8 | semidirect |
| 151. #12515 | C2×C8 | semidirect |
| 197. C8×C32 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227282 | 2 |
| #72227254 | 2 |
| #72227251 | 2 |
| #72227214 | 2 |
| #72227213 | 2 |
| #72227104 | 2 |
| #72216341 | 2 |