Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1338 conjugacy classes of subgroups.
The subgroup lattice has 1225 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #7624012 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #494991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #484106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #221129 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #221064 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #141807 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #141213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #138763 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #138740 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #137039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #137035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #135074 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #131816 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #131813 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #128656 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #61436 | C22 | 1 | 1 | yes | characteristic |
| 17 | D8×#41 | C22 | 1 | 1 | yes | characteristic |
| 18 | #33958 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | Q8×SD32 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #33929 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | #33925 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | #33921 | — | 2 | 1 | no | — |
| 23 | #33921 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #33899 | — | 2 | 1 | no | — |
| 25 | #33899 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #33892 | — | 2 | 1 | no | — |
| 27 | #33892 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #33840 | — | 2 | 1 | no | — |
| 29 | #33840 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | #33748 | — | 2 | 1 | no | — |
| 31 | #33748 | C22 | 1 | 1 | yes | characteristic |
| 32 | #33675 | — | 2 | 1 | no | — |
| 33 | #33675 | C22 | 1 | 1 | yes | characteristic |
| 34 | #33669 | — | 2 | 1 | no | — |
| 35 | #33669 | C22 | 1 | 1 | yes | characteristic |
| 36 | #33485 | C22 | 1 | 1 | yes | characteristic |
| 37 | C4×#509 | — | 2 | 1 | no | — |
| 38 | C4×#509 | C22 | 1 | 1 | yes | characteristic |
| 39 | D4×#104 | — | 2 | 1 | no | — |
| 40 | #21293 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C4×#442 | C22 | 1 | 1 | yes | characteristic |
| 42 | #18065 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #18044 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17526 | — | 2 | 1 | no | — |
| 45 | #13143 | — | 2 | 1 | no | — |
| 46 | #13119 | — | 2 | 1 | no | — |
| 47 | #13037 | — | 2 | 1 | no | — |
| 48 | #12956 | — | 2 | 1 | no | — |
| 49 | C4×#365 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C4×#361 | C22 | 1 | 1 | yes | characteristic |
| 51 | C4×#360 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #12594 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #12087 | — | 2 | 1 | no | — |
| 54 | #12078 | — | 2 | 1 | no | — |
| 55 | #12077 | — | 2 | 1 | no | — |
| 56 | #12067 | — | 2 | 1 | no | — |
| 57 | #12020 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #11751 | C22 | 1 | 1 | yes | characteristic |
| 59 | #11744 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #11680 | C22 | 1 | 1 | yes | characteristic |
| 61 | #11680 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #11666 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #11663 | C22 | 1 | 1 | yes | characteristic |
| 64 | #11615 | C22 | 1 | 1 | yes | characteristic |
| 65 | #11414 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #9849 | C22 | 1 | 1 | yes | characteristic |
| 67 | #9849 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #9726 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #9721 | C22 | 1 | 1 | yes | characteristic |
| 70 | #9233 | — | 2 | 1 | no | — |
| 71 | #9213 | — | 2 | 1 | no | — |
| 72 | #8991 | — | 2 | 1 | no | — |
| 73 | #8969 | — | 2 | 1 | no | — |
| 74 | #8670 | C22 | 1 | 1 | yes | characteristic |
| 75 | #8666 | C22 | 1 | 1 | yes | characteristic |
| 76 | #8441 | — | 2 | 1 | no | — |
| 77 | #8436 | — | 2 | 1 | no | — |
| 78 | #8192 | C22 | 1 | 1 | yes | characteristic |
| 79 | #7302 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #7300 | C22 | 1 | 1 | yes | characteristic, complemented |
| 81 | #7164 | C22 | 1 | 1 | yes | characteristic, complemented |
| 82 | #7149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 83 | #3483 | — | 2 | 1 | no | — |
| 84 | D4×#41 | — | 2 | 1 | no | — |
| 85 | C2×#509 | — | 2 | 1 | no | — |
| 86 | C2×#509 | D4 | 1 | 1 | yes | characteristic |
| 87 | #3391 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #3391 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 89 | Q8×Q16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 90 | Q8×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | #3362 | — | 2 | 1 | no | — |
| 92 | #3358 | — | 2 | 1 | no | — |
| 93 | #3341 | — | 2 | 1 | no | — |
| 94 | #3341 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 95 | #3334 | — | 2 | 1 | no | — |
| 96 | #3334 | C2×C4 | 1 | 1 | yes | characteristic |
| 97 | #3305 | — | 2 | 1 | no | — |
| 98 | #3305 | — | 4 | 1 | no | — |
| 99 | #3294 | — | 2 | 1 | no | — |
| 100 | #3294 | — | 4 | 1 | no | — |
| 101 | #3287 | — | 2 | 1 | no | — |
| 102 | #3287 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 103 | D4×D8 | — | 2 | 1 | no | — |
| 104 | D4×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 105 | #3169 | — | 2 | 1 | no | — |
| 106 | #3169 | — | 2 | 1 | no | — |
| 107 | #3169 | C23 | 1 | 1 | yes | characteristic |
| 108 | #3169 | C23 | 1 | 1 | yes | characteristic |
| 109 | #3106 | — | 2 | 1 | no | — |
| 110 | #3106 | — | 4 | 1 | no | — |
| 111 | #3100 | — | 2 | 1 | no | — |
| 112 | #3100 | — | 4 | 1 | no | — |
| 113 | #2990 | — | 2 | 1 | no | — |
| 114 | C8×#41 | C23 | 1 | 1 | yes | characteristic |
| 115 | C2×#442 | — | 2 | 1 | no | — |
| 116 | C4×#135 | — | 2 | 1 | no | — |
| 117 | C4×#135 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×C4×D8 | — | 2 | 1 | no | — |
| 119 | C2×C4×D8 | C23 | 1 | 1 | yes | characteristic |
| 120 | D4×M16 | — | 2 | 1 | no | — |
| 121 | #2922 | — | 2 | 1 | no | — |
| 122 | C22×#104 | — | 4 | 1 | no | — |
| 123 | C42×D4 | — | 2 | 1 | no | — |
| 124 | #2254 | — | 2 | 1 | no | — |
| 125 | #2254 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 126 | #2246 | — | 2 | 1 | no | — |
| 127 | #2246 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 128 | #2240 | — | 2 | 1 | no | — |
| 129 | #2240 | — | 2 | 1 | no | — |
| 130 | #2240 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 131 | #2240 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 132 | #2234 | — | 2 | 1 | no | — |
| 133 | #2234 | — | 2 | 1 | no | — |
| 134 | #2234 | — | 2 | 1 | no | — |
| 135 | #2233 | — | 2 | 1 | no | — |
| 136 | #2233 | — | 2 | 1 | no | — |
| 137 | #2233 | — | 2 | 1 | no | — |
| 138 | #2226 | — | 2 | 1 | no | — |
| 139 | #2226 | — | 2 | 1 | no | — |
| 140 | #2226 | C2×C4 | 1 | 1 | yes | characteristic |
| 141 | #2226 | C2×C4 | 1 | 1 | yes | characteristic |
| 142 | #2225 | — | 2 | 1 | no | — |
| 143 | #2225 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 144 | #2224 | — | 2 | 1 | no | — |
| 145 | #2224 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 146 | #2218 | — | 2 | 1 | no | — |
| 147 | #2218 | — | 2 | 1 | no | — |
| 148 | #2218 | — | 2 | 1 | no | — |
| 149 | #2218 | — | 2 | 1 | no | — |
| 150 | #2218 | — | 2 | 1 | no | — |
| 151 | #2218 | — | 2 | 1 | no | — |
| 152 | #2207 | — | 2 | 1 | no | — |
| 153 | #2207 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 154 | #2206 | — | 2 | 1 | no | — |
| 155 | #2206 | — | 2 | 1 | no | — |
| 156 | #2206 | — | 2 | 1 | no | — |
| 157 | #2206 | C2×C4 | 1 | 1 | yes | characteristic |
| 158 | #2206 | C2×C4 | 1 | 1 | yes | characteristic |
| 159 | #2206 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 160 | #2186 | — | 2 | 1 | no | — |
| 161 | #2186 | — | 2 | 1 | no | — |
| 162 | #2186 | — | 2 | 1 | no | — |
| 163 | #2184 | — | 2 | 1 | no | — |
| 164 | #2184 | — | 2 | 1 | no | — |
| 165 | #2184 | — | 2 | 1 | no | — |
| 166 | Q8×C16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 167 | Q8×C16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 168 | #2177 | — | 2 | 1 | no | — |
| 169 | #2177 | — | 2 | 1 | no | — |
| 170 | #2177 | — | 2 | 1 | no | — |
| 171 | #2177 | — | 2 | 1 | no | — |
| 172 | #2177 | — | 2 | 1 | no | — |
| 173 | #2177 | D4 | 1 | 1 | yes | characteristic |
| 174 | #2177 | D4 | 1 | 1 | yes | characteristic |
| 175 | #2175 | — | 2 | 1 | no | — |
| 176 | #2175 | D4 | 1 | 1 | yes | characteristic |
| 177 | #2175 | D4 | 1 | 1 | yes | characteristic |
| 178 | C4×SD32 | — | 2 | 1 | no | — |
| 179 | C4×SD32 | — | 2 | 1 | no | — |
| 180 | C4×SD32 | C2×C4 | 1 | 1 | yes | characteristic |
| 181 | C4×SD32 | C2×C4 | 1 | 1 | yes | characteristic |
| 182 | C4×D16 | — | 2 | 1 | no | — |
| 183 | C4×D16 | — | 2 | 1 | no | — |
| 184 | C4×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 185 | C4×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 186 | #2169 | — | 2 | 1 | no | — |
| 187 | #2169 | — | 2 | 1 | no | — |
| 188 | #2169 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 189 | #2169 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 190 | #2163 | — | 2 | 1 | no | — |
| 191 | #2163 | C23 | 1 | 1 | yes | characteristic |
| 192 | #2163 | C23 | 1 | 1 | yes | characteristic |
| 193 | #2159 | — | 2 | 1 | no | — |
| 194 | #2159 | D4 | 1 | 1 | yes | characteristic |
| 195 | C2×#365 | — | 2 | 1 | no | — |
| 196 | C2×#361 | — | 2 | 1 | no | — |
| 197 | C2×#360 | — | 2 | 1 | no | — |
| 198 | #2140 | — | 2 | 1 | no | — |
| 199 | #2140 | D4 | 1 | 1 | yes | characteristic |
| 200 | #2139 | — | 2 | 1 | no | — |
| 201 | #2139 | D4 | 1 | 1 | yes | characteristic |
| 202 | C4×M32 | — | 2 | 1 | no | — |
| 203 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 204 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 205 | #1980 | — | 2 | 1 | no | — |
| 206 | #1975 | — | 2 | 1 | no | — |
| 207 | #1962 | — | 2 | 1 | no | — |
| 208 | #1962 | — | 2 | 1 | no | — |
| 209 | #1946 | — | 2 | 1 | no | — |
| 210 | #1938 | — | 4 | 1 | no | — |
| 211 | #1896 | — | 4 | 1 | no | — |
| 212 | #1871 | — | 4 | 1 | no | — |
| 213 | #1806 | — | 2 | 1 | no | — |
| 214 | #1789 | — | 4 | 1 | no | — |
| 215 | C4×#108 | C23 | 1 | 1 | yes | characteristic |
| 216 | #1776 | — | 2 | 1 | no | — |
| 217 | C4×#106 | C23 | 1 | 1 | yes | characteristic |
| 218 | #1762 | — | 4 | 1 | no | — |
| 219 | C4×#102 | — | 2 | 1 | no | — |
| 220 | C4×#104 | — | 2 | 1 | no | — |
| 221 | C4×#104 | D4 | 1 | 1 | yes | characteristic |
| 222 | C4×#97 | C23 | 1 | 1 | yes | characteristic |
| 223 | #1594 | — | 2 | 1 | no | — |
| 224 | #1593 | — | 2 | 1 | no | — |
| 225 | #1586 | — | 4 | 1 | no | — |
| 226 | #1582 | — | 4 | 1 | no | — |
| 227 | #1580 | — | 2 | 1 | no | — |
| 228 | #1580 | — | 2 | 1 | no | — |
| 229 | #1566 | C23 | 1 | 1 | yes | characteristic |
| 230 | #1566 | C23 | 1 | 1 | yes | characteristic |
| 231 | #1525 | — | 2 | 1 | no | — |
| 232 | #1502 | — | 2 | 1 | no | — |
| 233 | #1496 | — | 4 | 1 | no | — |
| 234 | #1492 | — | 2 | 1 | no | — |
| 235 | #1492 | — | 2 | 1 | no | — |
| 236 | #1489 | — | 2 | 1 | no | — |
| 237 | #1489 | — | 2 | 1 | no | — |
| 238 | #1488 | — | 4 | 1 | no | — |
| 239 | #1486 | — | 2 | 1 | no | — |
| 240 | #1484 | — | 2 | 1 | no | — |
| 241 | #1480 | — | 4 | 1 | no | — |
| 242 | #1477 | — | 4 | 1 | no | — |
| 243 | #1476 | D4 | 1 | 1 | yes | characteristic |
| 244 | #1451 | C23 | 1 | 1 | yes | characteristic |
| 245 | #1387 | — | 2 | 1 | no | — |
| 246 | #1386 | — | 2 | 1 | no | — |
| 247 | #1383 | — | 2 | 1 | no | — |
| 248 | #1375 | — | 2 | 1 | no | — |
| 249 | #1375 | — | 2 | 1 | no | — |
| 250 | #1368 | — | 2 | 1 | no | — |
| 251 | #1368 | — | 2 | 1 | no | — |
| 252 | #1349 | — | 4 | 1 | no | — |
| 253 | #1347 | — | 4 | 1 | no | — |
| 254 | Q8⋊C16 | — | 2 | 1 | no | — |
| 255 | #1334 | — | 2 | 1 | no | — |
| 256 | #1333 | — | 2 | 1 | no | — |
| 257 | #1333 | — | 2 | 1 | no | — |
| 258 | #1333 | — | 2 | 1 | no | — |
| 259 | #1333 | — | 4 | 1 | no | — |
| 260 | #1333 | — | 4 | 1 | no | — |
| 261 | D4⋊C16 | — | 2 | 1 | no | — |
| 262 | #1313 | — | 2 | 1 | no | — |
| 263 | #1313 | — | 2 | 1 | no | — |
| 264 | #1303 | — | 2 | 1 | no | — |
| 265 | #1299 | — | 2 | 1 | no | — |
| 266 | #1278 | D4 | 1 | 1 | yes | characteristic |
| 267 | #1276 | D4 | 1 | 1 | yes | characteristic |
| 268 | C22×#41 | — | 4 | 1 | no | — |
| 269 | C2×#135 | — | 2 | 1 | no | — |
| 270 | C2×#135 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C22×D8 | — | 2 | 1 | no | — |
| 272 | C22×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C22×M16 | — | 4 | 1 | no | — |
| 274 | Q82 | — | 2 | 1 | no | — |
| 275 | #555 | — | 2 | 1 | no | — |
| 276 | #555 | — | 4 | 1 | no | — |
| 277 | #555 | — | 4 | 1 | no | — |
| 278 | #555 | — | 8 | 1 | no | — |
| 279 | #550 | — | 2 | 1 | no | — |
| 280 | #550 | — | 2 | 1 | no | — |
| 281 | #550 | — | 2 | 1 | no | — |
| 282 | #550 | — | 4 | 1 | no | — |
| 283 | #550 | — | 4 | 1 | no | — |
| 284 | D4×Q8 | — | 2 | 1 | no | — |
| 285 | #548 | — | 4 | 1 | no | — |
| 286 | #547 | — | 2 | 1 | no | — |
| 287 | #547 | — | 4 | 1 | no | — |
| 288 | #546 | — | 4 | 1 | no | — |
| 289 | #546 | — | 8 | 1 | no | — |
| 290 | D42 | — | 2 | 1 | no | — |
| 291 | D42 | — | 4 | 1 | no | — |
| 292 | #532 | — | 2 | 1 | no | — |
| 293 | #532 | — | 2 | 1 | no | — |
| 294 | #532 | — | 4 | 1 | no | — |
| 295 | #532 | — | 4 | 1 | no | — |
| 296 | #532 | — | 4 | 1 | no | — |
| 297 | #532 | — | 8 | 1 | no | — |
| 298 | #525 | — | 4 | 1 | no | — |
| 299 | #525 | — | 8 | 1 | no | — |
| 300 | C4×#41 | — | 2 | 1 | no | — |
| 301 | C4×#41 | — | 4 | 1 | no | — |
| 302 | C4×#41 | — | 4 | 1 | no | — |
| 303 | C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×C4×D4 | — | 2 | 1 | no | — |
| 305 | C2×C4×D4 | — | 4 | 1 | no | — |
| 306 | C2×C4×D4 | — | 4 | 1 | no | — |
| 307 | C22×C42 | — | 4 | 1 | no | — |
| 308 | #509 | — | 4 | 2 | no | — |
| 309 | #509 | — | 4 | 4 | no | — |
| 310 | C2×SD32 | — | 2 | 1 | no | — |
| 311 | C2×SD32 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 312 | C2×SD32 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 313 | C2×D16 | — | 2 | 1 | no | — |
| 314 | C2×D16 | — | 2 | 1 | no | — |
| 315 | C2×D16 | — | 2 | 1 | no | — |
| 316 | C2×D16 | — | 2 | 1 | no | — |
| 317 | C2×D16 | — | 2 | 1 | no | — |
| 318 | C2×D16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 319 | C2×D16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 320 | C2×M32 | — | 2 | 1 | no | — |
| 321 | C2×M32 | — | 2 | 1 | no | — |
| 322 | C2×M32 | — | 2 | 1 | no | — |
| 323 | C2×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | #500 | — | 2 | 1 | no | — |
| 326 | #500 | — | 2 | 1 | no | — |
| 327 | #500 | C22×C4 | 1 | 1 | yes | characteristic |
| 328 | #500 | C22×C4 | 1 | 1 | yes | characteristic |
| 329 | #493 | — | 2 | 1 | no | — |
| 330 | #493 | — | 2 | 1 | no | — |
| 331 | #493 | C22×C4 | 1 | 1 | yes | characteristic |
| 332 | #493 | C22×C4 | 1 | 1 | yes | characteristic |
| 333 | #486 | — | 2 | 1 | no | — |
| 334 | #486 | — | 2 | 1 | no | — |
| 335 | #486 | — | 4 | 1 | no | — |
| 336 | #486 | — | 4 | 1 | no | — |
| 337 | #482 | — | 4 | 1 | no | — |
| 338 | #482 | — | 4 | 1 | no | — |
| 339 | #482 | — | 4 | 1 | no | — |
| 340 | #480 | — | 4 | 1 | no | — |
| 341 | #480 | — | 4 | 1 | no | — |
| 342 | #480 | — | 4 | 1 | no | — |
| 343 | #477 | — | 2 | 1 | no | — |
| 344 | #477 | — | 4 | 1 | no | — |
| 345 | #476 | — | 2 | 1 | no | — |
| 346 | #476 | — | 4 | 1 | no | — |
| 347 | #474 | — | 2 | 1 | no | — |
| 348 | #474 | — | 2 | 1 | no | — |
| 349 | #474 | — | 4 | 1 | no | — |
| 350 | #474 | — | 4 | 1 | no | — |
| 351 | #466 | — | 2 | 1 | no | — |
| 352 | #466 | — | 2 | 1 | no | — |
| 353 | #466 | — | 2 | 1 | no | — |
| 354 | #466 | — | 2 | 1 | no | — |
| 355 | #466 | — | 2 | 1 | no | — |
| 356 | #466 | — | 2 | 1 | no | — |
| 357 | #466 | — | 2 | 1 | no | — |
| 358 | #466 | — | 2 | 1 | no | — |
| 359 | #466 | — | 4 | 1 | no | — |
| 360 | #466 | — | 4 | 1 | no | — |
| 361 | #460 | — | 2 | 1 | no | — |
| 362 | #460 | — | 4 | 1 | no | — |
| 363 | #459 | — | 2 | 1 | no | — |
| 364 | #459 | — | 2 | 1 | no | — |
| 365 | #459 | — | 2 | 1 | no | — |
| 366 | #459 | — | 4 | 1 | no | — |
| 367 | #459 | — | 4 | 1 | no | — |
| 368 | #459 | — | 4 | 1 | no | — |
| 369 | #449 | — | 4 | 1 | no | — |
| 370 | #449 | — | 4 | 1 | no | — |
| 371 | #449 | — | 4 | 1 | no | — |
| 372 | #447 | — | 4 | 1 | no | — |
| 373 | #447 | — | 4 | 1 | no | — |
| 374 | #447 | — | 4 | 1 | no | — |
| 375 | #446 | — | 4 | 1 | no | — |
| 376 | C8×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 377 | C8×Q8 | #41 | 1 | 1 | yes | characteristic |
| 378 | #442 | — | 4 | 2 | no | — |
| 379 | #442 | — | 4 | 2 | no | — |
| 380 | C4×Q16 | — | 2 | 1 | no | — |
| 381 | C4×Q16 | C22×C4 | 1 | 1 | yes | characteristic |
| 382 | C4×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | C4×SD16 | — | 2 | 1 | no | — |
| 384 | C4×SD16 | — | 2 | 1 | no | — |
| 385 | C4×SD16 | — | 4 | 1 | no | — |
| 386 | C4×SD16 | — | 4 | 1 | no | — |
| 387 | C4×D8 | — | 2 | 1 | no | — |
| 388 | C4×D8 | — | 2 | 1 | no | — |
| 389 | C4×D8 | — | 2 | 1 | no | — |
| 390 | C4×D8 | — | 2 | 1 | no | — |
| 391 | C4×D8 | — | 2 | 1 | no | — |
| 392 | C4×D8 | — | 2 | 1 | no | — |
| 393 | C4×D8 | — | 2 | 1 | no | — |
| 394 | C4×D8 | — | 2 | 1 | no | — |
| 395 | C4×D8 | — | 2 | 1 | no | — |
| 396 | C4×D8 | — | 4 | 1 | no | — |
| 397 | C4×D8 | — | 4 | 1 | no | — |
| 398 | C4×D8 | — | 4 | 1 | no | — |
| 399 | C4×D8 | — | 4 | 1 | no | — |
| 400 | C4×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 401 | C4×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 402 | C4×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 403 | C4×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 404 | C4×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 405 | C4×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 406 | #436 | — | 4 | 1 | no | — |
| 407 | #435 | — | 8 | 1 | no | — |
| 408 | #435 | — | 8 | 1 | no | — |
| 409 | C8×D4 | — | 2 | 1 | no | — |
| 410 | C8×D4 | — | 2 | 1 | no | — |
| 411 | C8×D4 | — | 4 | 1 | no | — |
| 412 | C8×D4 | — | 4 | 1 | no | — |
| 413 | C8×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 414 | C8×D4 | #41 | 1 | 1 | yes | characteristic |
| 415 | #433 | — | 8 | 1 | no | — |
| 416 | #432 | — | 4 | 1 | no | — |
| 417 | #431 | — | 2 | 1 | no | — |
| 418 | #431 | — | 4 | 1 | no | — |
| 419 | #431 | — | 4 | 1 | no | — |
| 420 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 421 | #431 | C2×D4 | 1 | 1 | yes | characteristic |
| 422 | C2×#108 | — | 2 | 1 | no | — |
| 423 | #427 | — | 2 | 1 | no | — |
| 424 | #427 | C2×D4 | 1 | 1 | yes | characteristic |
| 425 | C2×#107 | — | 2 | 1 | no | — |
| 426 | C2×#107 | C2×D4 | 1 | 1 | yes | characteristic |
| 427 | C2×#106 | — | 2 | 1 | no | — |
| 428 | #424 | — | 4 | 1 | no | — |
| 429 | #423 | — | 2 | 1 | no | — |
| 430 | #423 | — | 2 | 1 | no | — |
| 431 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 432 | C2×#104 | — | 2 | 1 | no | — |
| 433 | C2×#104 | — | 4 | 1 | no | — |
| 434 | C2×#104 | — | 4 | 1 | no | — |
| 435 | C2×#104 | — | 4 | 1 | no | — |
| 436 | C2×#104 | — | 4 | 1 | no | — |
| 437 | C2×#104 | — | 4 | 1 | no | — |
| 438 | C2×#104 | — | 4 | 1 | no | — |
| 439 | C2×#104 | — | 8 | 4 | no | — |
| 440 | C2×#104 | — | 8 | 1 | no | — |
| 441 | #416 | — | 2 | 1 | no | — |
| 442 | #416 | — | 4 | 1 | no | — |
| 443 | C2×#102 | — | 2 | 1 | no | — |
| 444 | C2×#102 | — | 4 | 1 | no | — |
| 445 | C2×#102 | — | 4 | 1 | no | — |
| 446 | #408 | — | 4 | 1 | no | — |
| 447 | #407 | — | 4 | 1 | no | — |
| 448 | C4×M16 | — | 2 | 1 | no | — |
| 449 | C4×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 450 | C2×#97 | — | 2 | 1 | no | — |
| 451 | C2×#97 | — | 2 | 1 | no | — |
| 452 | C2×C4×C8 | — | 2 | 1 | no | — |
| 453 | C2×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 454 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 455 | C4×C4⋊C4 | — | 2 | 1 | no | — |
| 456 | C4×C4⋊C4 | — | 4 | 1 | no | — |
| 457 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 458 | C4×C22⋊C4 | — | 8 | 1 | no | — |
| 459 | C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 460 | #367 | — | 2 | 1 | no | — |
| 461 | #367 | — | 2 | 1 | no | — |
| 462 | #367 | — | 2 | 1 | no | — |
| 463 | #367 | — | 2 | 1 | no | — |
| 464 | #367 | — | 2 | 1 | no | — |
| 465 | #367 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 466 | #367 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 467 | #366 | — | 2 | 1 | no | — |
| 468 | #366 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 469 | #366 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 470 | #365 | — | 4 | 2 | no | — |
| 471 | C4⋊C16 | — | 2 | 1 | no | — |
| 472 | C4⋊C16 | — | 2 | 1 | no | — |
| 473 | C4⋊C16 | — | 2 | 1 | no | — |
| 474 | C4⋊C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 475 | C4⋊C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 476 | #361 | — | 4 | 2 | no | — |
| 477 | #360 | — | 4 | 2 | no | — |
| 478 | #358 | — | 2 | 1 | no | — |
| 479 | #358 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 480 | #358 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 481 | #357 | — | 2 | 1 | no | — |
| 482 | #357 | — | 2 | 1 | no | — |
| 483 | #357 | — | 2 | 1 | no | — |
| 484 | #357 | — | 2 | 1 | no | — |
| 485 | #357 | — | 2 | 1 | no | — |
| 486 | #357 | — | 2 | 1 | no | — |
| 487 | #357 | — | 2 | 1 | no | — |
| 488 | #357 | — | 2 | 1 | no | — |
| 489 | #357 | — | 2 | 1 | no | — |
| 490 | #357 | — | 2 | 1 | no | — |
| 491 | #357 | — | 2 | 1 | no | — |
| 492 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 493 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 494 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 495 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 496 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 497 | #357 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 498 | C22⋊C16 | — | 2 | 1 | no | — |
| 499 | C22⋊C16 | — | 2 | 1 | no | — |
| 500 | C22⋊C16 | — | 2 | 1 | no | — |
| 501 | C22⋊C16 | — | 2 | 1 | no | — |
| 502 | #346 | — | 2 | 1 | no | — |
| 503 | #346 | — | 2 | 1 | no | — |
| 504 | #346 | — | 2 | 1 | no | — |
| 505 | #346 | C2×D4 | 1 | 1 | yes | characteristic |
| 506 | #346 | C2×D4 | 1 | 1 | yes | characteristic |
| 507 | C4×C16 | — | 2 | 1 | no | — |
| 508 | C4×C16 | — | 2 | 1 | no | — |
| 509 | C4×C16 | — | 2 | 1 | no | — |
| 510 | C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 511 | C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 512 | #341 | — | 2 | 1 | no | — |
| 513 | #340 | — | 2 | 1 | no | — |
| 514 | #340 | — | 4 | 1 | no | — |
| 515 | #339 | — | 2 | 1 | no | — |
| 516 | #339 | — | 4 | 1 | no | — |
| 517 | #339 | — | 4 | 1 | no | — |
| 518 | #334 | — | 2 | 1 | no | — |
| 519 | #334 | — | 2 | 1 | no | — |
| 520 | #334 | — | 2 | 1 | no | — |
| 521 | #334 | — | 2 | 1 | no | — |
| 522 | #329 | — | 8 | 1 | no | — |
| 523 | #327 | — | 8 | 1 | no | — |
| 524 | Q8⋊C8 | — | 2 | 1 | no | — |
| 525 | Q8⋊C8 | — | 4 | 1 | no | — |
| 526 | Q8⋊C8 | — | 4 | 1 | no | — |
| 527 | D4⋊C8 | — | 2 | 1 | no | — |
| 528 | D4⋊C8 | — | 4 | 1 | no | — |
| 529 | D4⋊C8 | — | 4 | 1 | no | — |
| 530 | D4⋊C8 | — | 4 | 1 | no | — |
| 531 | D4⋊C8 | — | 4 | 1 | no | — |
| 532 | D4⋊C8 | — | 4 | 1 | no | — |
| 533 | D4⋊C8 | — | 4 | 1 | no | — |
| 534 | D4⋊C8 | — | 4 | 1 | no | — |
| 535 | D4⋊C8 | — | 4 | 1 | no | — |
| 536 | D4⋊C8 | — | 8 | 1 | no | — |
| 537 | #322 | — | 2 | 1 | no | — |
| 538 | #322 | — | 2 | 1 | no | — |
| 539 | C2×#41 | — | 2 | 1 | no | — |
| 540 | C2×#41 | — | 4 | 1 | no | — |
| 541 | C2×#41 | — | 4 | 1 | no | — |
| 542 | C2×#41 | — | 4 | 1 | no | — |
| 543 | C2×#41 | — | 4 | 1 | no | — |
| 544 | C2×#41 | — | 4 | 1 | no | — |
| 545 | C2×#41 | — | 4 | 1 | no | — |
| 546 | C2×#41 | — | 8 | 1 | no | — |
| 547 | C2×#41 | — | 8 | 1 | no | — |
| 548 | C2×#41 | — | 8 | 1 | no | — |
| 549 | C2×#41 | — | 8 | 2 | no | — |
| 550 | C2×#41 | — | 8 | 2 | no | — |
| 551 | C2×#41 | — | 16 | 1 | no | — |
| 552 | C2×#41 | — | 16 | 1 | no | — |
| 553 | C2×#41 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 554 | C22×Q8 | — | 4 | 1 | no | — |
| 555 | C22×D4 | — | 2 | 1 | no | — |
| 556 | C22×D4 | — | 4 | 1 | no | — |
| 557 | C22×D4 | — | 4 | 1 | no | — |
| 558 | C22×D4 | — | 8 | 1 | no | — |
| 559 | C23×C4 | — | 4 | 1 | no | — |
| 560 | C23×C4 | — | 8 | 1 | no | — |
| 561 | C23×C4 | — | 8 | 1 | no | — |
| 562 | #135 | — | 4 | 1 | no | — |
| 563 | #135 | — | 4 | 1 | no | — |
| 564 | #135 | — | 4 | 2 | no | — |
| 565 | #135 | — | 8 | 1 | no | — |
| 566 | C2×Q16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 567 | C2×SD16 | — | 2 | 1 | no | — |
| 568 | C2×SD16 | — | 4 | 1 | no | — |
| 569 | C2×D8 | — | 2 | 2 | no | — |
| 570 | C2×D8 | — | 2 | 1 | no | — |
| 571 | C2×D8 | — | 2 | 1 | no | — |
| 572 | C2×D8 | — | 2 | 1 | no | — |
| 573 | C2×D8 | — | 2 | 1 | no | — |
| 574 | C2×D8 | — | 2 | 1 | no | — |
| 575 | C2×D8 | — | 4 | 1 | no | — |
| 576 | C2×D8 | — | 4 | 1 | no | — |
| 577 | C2×D8 | — | 4 | 1 | no | — |
| 578 | C2×D8 | — | 4 | 1 | no | — |
| 579 | C2×D8 | — | 4 | 2 | no | — |
| 580 | C2×D8 | — | 8 | 1 | no | — |
| 581 | C2×D8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 582 | C2×D8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 583 | C2×D8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 584 | C2×M16 | — | 2 | 1 | no | — |
| 585 | C2×M16 | — | 4 | 1 | no | — |
| 586 | C2×M16 | — | 4 | 1 | no | — |
| 587 | C2×M16 | — | 4 | 1 | no | — |
| 588 | C2×M16 | — | 8 | 1 | no | — |
| 589 | C2×M16 | — | 8 | 2 | no | — |
| 590 | C2×M16 | — | 16 | 1 | no | — |
| 591 | C22×C8 | — | 2 | 1 | no | — |
| 592 | C22×C8 | — | 2 | 1 | no | — |
| 593 | C22×C8 | — | 2 | 1 | no | — |
| 594 | C22×C8 | — | 8 | 1 | no | — |
| 595 | C22×C8 | — | 8 | 1 | no | — |
| 596 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 597 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 598 | C4⋊Q8 | — | 2 | 1 | no | — |
| 599 | C4⋊Q8 | — | 2 | 1 | no | — |
| 600 | C4⋊Q8 | — | 4 | 1 | no | — |
| 601 | C4⋊Q8 | — | 4 | 1 | no | — |
| 602 | C4⋊Q8 | — | 4 | 1 | no | — |
| 603 | C4⋊Q8 | — | 8 | 1 | no | — |
| 604 | #127 | — | 2 | 1 | no | — |
| 605 | #127 | — | 2 | 1 | no | — |
| 606 | #127 | — | 4 | 1 | no | — |
| 607 | #127 | — | 4 | 1 | no | — |
| 608 | #127 | — | 4 | 1 | no | — |
| 609 | #127 | — | 8 | 1 | no | — |
| 610 | #124 | — | 4 | 1 | no | — |
| 611 | #124 | — | 4 | 1 | no | — |
| 612 | #124 | — | 8 | 1 | no | — |
| 613 | #124 | — | 8 | 1 | no | — |
| 614 | #124 | — | 8 | 1 | no | — |
| 615 | #124 | — | 8 | 1 | no | — |
| 616 | #124 | — | 8 | 1 | no | — |
| 617 | #123 | — | 8 | 1 | no | — |
| 618 | #123 | — | 8 | 1 | no | — |
| 619 | #123 | — | 8 | 1 | no | — |
| 620 | C22⋊Q8 | — | 4 | 1 | no | — |
| 621 | C22⋊Q8 | — | 4 | 1 | no | — |
| 622 | C22⋊Q8 | — | 8 | 1 | no | — |
| 623 | C22⋊Q8 | — | 8 | 1 | no | — |
| 624 | #121 | — | 4 | 1 | no | — |
| 625 | #121 | — | 4 | 1 | no | — |
| 626 | #121 | — | 4 | 1 | no | — |
| 627 | #121 | — | 4 | 1 | no | — |
| 628 | #121 | — | 4 | 1 | no | — |
| 629 | #121 | — | 4 | 1 | no | — |
| 630 | #121 | — | 4 | 1 | no | — |
| 631 | #121 | — | 4 | 1 | no | — |
| 632 | #121 | — | 4 | 1 | no | — |
| 633 | #121 | — | 4 | 1 | no | — |
| 634 | #121 | — | 4 | 1 | no | — |
| 635 | #121 | — | 4 | 1 | no | — |
| 636 | #121 | — | 8 | 1 | no | — |
| 637 | #121 | — | 8 | 1 | no | — |
| 638 | #121 | — | 8 | 1 | no | — |
| 639 | #121 | — | 8 | 1 | no | — |
| 640 | #121 | — | 8 | 1 | no | — |
| 641 | #121 | — | 8 | 1 | no | — |
| 642 | #121 | — | 8 | 1 | no | — |
| 643 | #121 | — | 8 | 1 | no | — |
| 644 | #121 | — | 8 | 1 | no | — |
| 645 | #120 | — | 8 | 1 | no | — |
| 646 | #120 | — | 8 | 1 | no | — |
| 647 | #120 | — | 8 | 1 | no | — |
| 648 | C4×Q8 | — | 2 | 1 | no | — |
| 649 | C4×Q8 | — | 2 | 1 | no | — |
| 650 | C4×Q8 | — | 4 | 1 | no | — |
| 651 | C4×Q8 | — | 4 | 1 | no | — |
| 652 | C4×Q8 | C4×D4 | 1 | 1 | yes | characteristic |
| 653 | C4×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 654 | C4×D4 | — | 2 | 1 | no | — |
| 655 | C4×D4 | — | 2 | 1 | no | — |
| 656 | C4×D4 | — | 2 | 1 | no | — |
| 657 | C4×D4 | — | 2 | 1 | no | — |
| 658 | C4×D4 | — | 2 | 1 | no | — |
| 659 | C4×D4 | — | 2 | 1 | no | — |
| 660 | C4×D4 | — | 2 | 1 | no | — |
| 661 | C4×D4 | — | 2 | 1 | no | — |
| 662 | C4×D4 | — | 4 | 1 | no | — |
| 663 | C4×D4 | — | 4 | 1 | no | — |
| 664 | C4×D4 | — | 4 | 1 | no | — |
| 665 | C4×D4 | — | 4 | 1 | no | — |
| 666 | C4×D4 | — | 4 | 1 | no | — |
| 667 | C4×D4 | — | 4 | 4 | no | — |
| 668 | C4×D4 | — | 4 | 1 | no | — |
| 669 | C4×D4 | — | 4 | 1 | no | — |
| 670 | C4×D4 | — | 4 | 1 | no | — |
| 671 | C4×D4 | — | 4 | 1 | no | — |
| 672 | C4×D4 | — | 4 | 1 | no | — |
| 673 | C4×D4 | — | 4 | 1 | no | — |
| 674 | C4×D4 | — | 4 | 1 | no | — |
| 675 | C4×D4 | — | 8 | 1 | no | — |
| 676 | C4×D4 | — | 8 | 1 | no | — |
| 677 | C4×D4 | — | 8 | 1 | no | — |
| 678 | C4×D4 | — | 8 | 1 | no | — |
| 679 | C4×D4 | — | 8 | 2 | no | — |
| 680 | C4×D4 | — | 8 | 1 | no | — |
| 681 | C4×D4 | — | 8 | 1 | no | — |
| 682 | C4×D4 | — | 8 | 1 | no | — |
| 683 | C4×D4 | C4×D4 | 1 | 1 | yes | characteristic |
| 684 | C4×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 685 | #117 | — | 2 | 1 | no | — |
| 686 | #117 | — | 2 | 1 | no | — |
| 687 | #117 | — | 4 | 1 | no | — |
| 688 | #117 | — | 4 | 1 | no | — |
| 689 | #117 | — | 4 | 1 | no | — |
| 690 | #117 | — | 8 | 1 | no | — |
| 691 | #117 | — | 8 | 1 | no | — |
| 692 | #117 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 693 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 694 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 695 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 696 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 697 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 698 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 699 | C2×C42 | — | 2 | 1 | no | — |
| 700 | C2×C42 | — | 2 | 1 | no | — |
| 701 | C2×C42 | — | 2 | 1 | no | — |
| 702 | C2×C42 | — | 2 | 1 | no | — |
| 703 | C2×C42 | — | 4 | 1 | no | — |
| 704 | C2×C42 | — | 4 | 1 | no | — |
| 705 | C2×C42 | — | 8 | 1 | no | — |
| 706 | C2×C42 | — | 8 | 2 | no | — |
| 707 | C2×C42 | — | 8 | 1 | no | — |
| 708 | C2×C42 | — | 16 | 1 | no | — |
| 709 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 710 | SD32 | — | 2 | 2 | no | — |
| 711 | SD32 | — | 4 | 1 | no | — |
| 712 | SD32 | — | 4 | 2 | no | — |
| 713 | D16 | — | 2 | 2 | no | — |
| 714 | D16 | — | 4 | 1 | no | — |
| 715 | D16 | — | 4 | 2 | no | — |
| 716 | D16 | — | 4 | 2 | no | — |
| 717 | D16 | — | 8 | 1 | no | — |
| 718 | D16 | — | 8 | 1 | no | — |
| 719 | D16 | — | 8 | 1 | no | — |
| 720 | M32 | — | 4 | 1 | no | — |
| 721 | M32 | — | 4 | 1 | no | — |
| 722 | M32 | — | 4 | 2 | no | — |
| 723 | M32 | — | 4 | 1 | no | — |
| 724 | M32 | — | 4 | 1 | no | — |
| 725 | M32 | — | 8 | 1 | no | — |
| 726 | C2×C16 | — | 2 | 1 | no | — |
| 727 | C2×C16 | — | 2 | 1 | no | — |
| 728 | C2×C16 | — | 4 | 1 | no | — |
| 729 | C2×C16 | — | 4 | 1 | no | — |
| 730 | C2×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 731 | C2×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 732 | C2×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 733 | C2×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 734 | #108 | — | 4 | 1 | no | — |
| 735 | #108 | — | 4 | 1 | no | — |
| 736 | #107 | — | 2 | 1 | no | — |
| 737 | #107 | — | 2 | 1 | no | — |
| 738 | #107 | — | 2 | 1 | no | — |
| 739 | #107 | — | 2 | 1 | no | — |
| 740 | #107 | — | 2 | 1 | no | — |
| 741 | #107 | — | 4 | 1 | no | — |
| 742 | #107 | — | 4 | 1 | no | — |
| 743 | #107 | — | 4 | 1 | no | — |
| 744 | #107 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 745 | #107 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 746 | #107 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 747 | #107 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 748 | #106 | — | 2 | 1 | no | — |
| 749 | #106 | — | 2 | 2 | no | — |
| 750 | #106 | — | 4 | 1 | no | — |
| 751 | #106 | — | 4 | 1 | no | — |
| 752 | C4⋊C8 | — | 2 | 1 | no | — |
| 753 | C4⋊C8 | — | 2 | 1 | no | — |
| 754 | C4⋊C8 | — | 2 | 1 | no | — |
| 755 | C4⋊C8 | — | 4 | 1 | no | — |
| 756 | C4⋊C8 | — | 4 | 1 | no | — |
| 757 | C4⋊C8 | — | 4 | 1 | no | — |
| 758 | C4⋊C8 | — | 4 | 1 | no | — |
| 759 | C4⋊C8 | — | 8 | 1 | no | — |
| 760 | C4⋊C8 | — | 8 | 1 | no | — |
| 761 | C4⋊C8 | — | 8 | 1 | no | — |
| 762 | C4⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 763 | C4⋊C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 764 | #104 | — | 4 | 2 | no | — |
| 765 | #104 | — | 8 | 2 | no | — |
| 766 | #104 | — | 8 | 2 | no | — |
| 767 | #104 | — | 8 | 2 | no | — |
| 768 | #104 | — | 8 | 2 | no | — |
| 769 | #104 | — | 16 | 1 | no | — |
| 770 | #104 | — | 16 | 1 | no | — |
| 771 | #104 | — | 16 | 2 | no | — |
| 772 | #103 | — | 2 | 1 | no | — |
| 773 | #103 | — | 2 | 1 | no | — |
| 774 | #103 | — | 4 | 1 | no | — |
| 775 | #102 | — | 2 | 1 | no | — |
| 776 | #102 | — | 2 | 1 | no | — |
| 777 | #102 | — | 2 | 1 | no | — |
| 778 | #102 | — | 2 | 1 | no | — |
| 779 | #102 | — | 2 | 1 | no | — |
| 780 | #102 | — | 2 | 1 | no | — |
| 781 | #102 | — | 4 | 1 | no | — |
| 782 | #102 | — | 4 | 1 | no | — |
| 783 | #102 | — | 4 | 1 | no | — |
| 784 | #102 | — | 4 | 1 | no | — |
| 785 | #102 | — | 4 | 1 | no | — |
| 786 | #102 | — | 4 | 1 | no | — |
| 787 | #102 | — | 4 | 1 | no | — |
| 788 | #102 | — | 4 | 4 | no | — |
| 789 | #102 | — | 4 | 1 | no | — |
| 790 | #102 | — | 4 | 1 | no | — |
| 791 | #102 | — | 4 | 1 | no | — |
| 792 | #102 | — | 4 | 1 | no | — |
| 793 | C22⋊C8 | — | 2 | 1 | no | — |
| 794 | C22⋊C8 | — | 2 | 1 | no | — |
| 795 | C22⋊C8 | — | 2 | 1 | no | — |
| 796 | C22⋊C8 | — | 2 | 1 | no | — |
| 797 | C22⋊C8 | — | 8 | 1 | no | — |
| 798 | C22⋊C8 | — | 8 | 1 | no | — |
| 799 | C22⋊C8 | — | 8 | 1 | no | — |
| 800 | C22⋊C8 | — | 8 | 1 | no | — |
| 801 | C22⋊C8 | — | 8 | 1 | no | — |
| 802 | #97 | — | 2 | 1 | no | — |
| 803 | #97 | — | 4 | 2 | no | — |
| 804 | #97 | — | 4 | 1 | no | — |
| 805 | #97 | — | 4 | 1 | no | — |
| 806 | #97 | — | 4 | 1 | no | — |
| 807 | #97 | — | 8 | 1 | no | — |
| 808 | C4×C8 | — | 2 | 1 | no | — |
| 809 | C4×C8 | — | 2 | 1 | no | — |
| 810 | C4×C8 | — | 2 | 1 | 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 | — | 4 | 1 | no | — |
| 816 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 817 | C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 818 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 819 | C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 820 | #95 | — | 4 | 1 | no | — |
| 821 | #95 | — | 8 | 1 | no | — |
| 822 | C24 | — | 4 | 1 | no | — |
| 823 | C24 | — | 8 | 1 | no | — |
| 824 | #41 | — | 2 | 2 | no | — |
| 825 | #41 | — | 4 | 1 | no | — |
| 826 | #41 | — | 8 | 1 | no | — |
| 827 | #41 | — | 8 | 1 | no | — |
| 828 | #41 | — | 8 | 1 | no | — |
| 829 | #41 | — | 8 | 1 | no | — |
| 830 | #41 | — | 8 | 1 | no | — |
| 831 | #41 | — | 8 | 1 | no | — |
| 832 | #41 | — | 8 | 2 | no | — |
| 833 | #41 | — | 8 | 2 | no | — |
| 834 | #41 | — | 8 | 2 | no | — |
| 835 | #41 | — | 8 | 2 | no | — |
| 836 | #41 | — | 16 | 2 | no | — |
| 837 | #41 | — | 16 | 2 | no | — |
| 838 | #41 | — | 16 | 1 | no | — |
| 839 | #41 | — | 16 | 1 | no | — |
| 840 | #41 | — | 16 | 1 | no | — |
| 841 | #41 | — | 16 | 1 | no | — |
| 842 | #41 | — | 16 | 2 | no | — |
| 843 | #41 | — | 16 | 2 | no | — |
| 844 | #41 | — | 16 | 1 | no | — |
| 845 | #41 | — | 16 | 1 | no | — |
| 846 | #41 | — | 32 | 1 | no | — |
| 847 | #41 | — | 32 | 1 | no | — |
| 848 | C2×Q8 | — | 2 | 1 | no | — |
| 849 | C2×Q8 | — | 4 | 1 | no | — |
| 850 | C2×Q8 | — | 4 | 1 | no | — |
| 851 | C2×Q8 | — | 8 | 1 | no | — |
| 852 | C2×Q8 | — | 8 | 1 | no | — |
| 853 | C2×Q8 | — | 8 | 2 | no | — |
| 854 | C2×Q8 | — | 16 | 1 | no | — |
| 855 | C2×Q8 | #442 | 1 | 1 | yes | characteristic |
| 856 | C2×D4 | — | 2 | 1 | no | — |
| 857 | C2×D4 | — | 2 | 1 | no | — |
| 858 | C2×D4 | — | 2 | 1 | no | — |
| 859 | C2×D4 | — | 2 | 1 | no | — |
| 860 | C2×D4 | — | 4 | 2 | no | — |
| 861 | C2×D4 | — | 4 | 1 | no | — |
| 862 | C2×D4 | — | 4 | 1 | no | — |
| 863 | C2×D4 | — | 4 | 1 | no | — |
| 864 | C2×D4 | — | 4 | 1 | no | — |
| 865 | C2×D4 | — | 4 | 1 | no | — |
| 866 | C2×D4 | — | 4 | 1 | no | — |
| 867 | C2×D4 | — | 4 | 1 | no | — |
| 868 | C2×D4 | — | 4 | 1 | no | — |
| 869 | C2×D4 | — | 8 | 1 | no | — |
| 870 | C2×D4 | — | 8 | 1 | no | — |
| 871 | C2×D4 | — | 8 | 1 | no | — |
| 872 | C2×D4 | — | 8 | 1 | no | — |
| 873 | C2×D4 | — | 8 | 1 | no | — |
| 874 | C2×D4 | — | 8 | 1 | no | — |
| 875 | C2×D4 | — | 8 | 2 | no | — |
| 876 | C2×D4 | — | 8 | 1 | no | — |
| 877 | C2×D4 | — | 8 | 1 | no | — |
| 878 | C2×D4 | — | 8 | 1 | no | — |
| 879 | C2×D4 | — | 8 | 2 | no | — |
| 880 | C2×D4 | — | 8 | 1 | no | — |
| 881 | C2×D4 | — | 8 | 1 | no | — |
| 882 | C2×D4 | — | 8 | 1 | no | — |
| 883 | C2×D4 | — | 8 | 1 | no | — |
| 884 | C2×D4 | — | 16 | 1 | no | — |
| 885 | C2×D4 | — | 16 | 1 | no | — |
| 886 | C2×D4 | — | 16 | 2 | no | — |
| 887 | C2×D4 | — | 16 | 2 | no | — |
| 888 | C2×D4 | #442 | 1 | 1 | yes | characteristic |
| 889 | C22×C4 | — | 2 | 1 | no | — |
| 890 | C22×C4 | — | 2 | 1 | no | — |
| 891 | C22×C4 | — | 2 | 1 | no | — |
| 892 | C22×C4 | — | 4 | 1 | no | — |
| 893 | C22×C4 | — | 4 | 1 | no | — |
| 894 | C22×C4 | — | 4 | 1 | no | — |
| 895 | C22×C4 | — | 4 | 1 | no | — |
| 896 | C22×C4 | — | 4 | 1 | no | — |
| 897 | C22×C4 | — | 4 | 1 | no | — |
| 898 | C22×C4 | — | 4 | 1 | no | — |
| 899 | C22×C4 | — | 4 | 1 | no | — |
| 900 | C22×C4 | — | 4 | 1 | no | — |
| 901 | C22×C4 | — | 8 | 1 | no | — |
| 902 | C22×C4 | — | 8 | 1 | no | — |
| 903 | C22×C4 | — | 8 | 1 | no | — |
| 904 | C22×C4 | — | 8 | 1 | no | — |
| 905 | C22×C4 | — | 8 | 1 | no | — |
| 906 | C22×C4 | — | 8 | 1 | no | — |
| 907 | C22×C4 | — | 8 | 1 | no | — |
| 908 | C22×C4 | — | 8 | 1 | no | — |
| 909 | C22×C4 | — | 8 | 1 | no | — |
| 910 | C22×C4 | — | 8 | 4 | no | — |
| 911 | C22×C4 | — | 8 | 1 | no | — |
| 912 | C22×C4 | — | 8 | 1 | no | — |
| 913 | C22×C4 | — | 8 | 1 | no | — |
| 914 | C22×C4 | — | 16 | 2 | no | — |
| 915 | C22×C4 | — | 16 | 2 | no | — |
| 916 | C22×C4 | — | 16 | 2 | no | — |
| 917 | C22×C4 | — | 16 | 2 | no | — |
| 918 | C22×C4 | D42 | 1 | 1 | yes | characteristic |
| 919 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 920 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 921 | Q16 | — | 2 | 1 | no | — |
| 922 | Q16 | — | 2 | 1 | no | — |
| 923 | SD16 | — | 8 | 1 | no | — |
| 924 | SD16 | — | 8 | 2 | no | — |
| 925 | D8 | — | 2 | 1 | no | — |
| 926 | D8 | — | 2 | 1 | no | — |
| 927 | D8 | — | 2 | 1 | no | — |
| 928 | D8 | — | 2 | 1 | no | — |
| 929 | D8 | — | 2 | 1 | no | — |
| 930 | D8 | — | 4 | 2 | no | — |
| 931 | D8 | — | 4 | 1 | no | — |
| 932 | D8 | — | 4 | 1 | no | — |
| 933 | D8 | — | 4 | 1 | no | — |
| 934 | D8 | — | 4 | 1 | no | — |
| 935 | D8 | — | 8 | 1 | no | — |
| 936 | D8 | — | 8 | 1 | no | — |
| 937 | D8 | — | 8 | 2 | no | — |
| 938 | D8 | — | 16 | 1 | no | — |
| 939 | D8 | — | 16 | 1 | no | — |
| 940 | D8 | #421 | 1 | 2 | yes | — |
| 941 | M16 | — | 4 | 1 | no | — |
| 942 | M16 | — | 4 | 1 | no | — |
| 943 | M16 | — | 8 | 1 | no | — |
| 944 | M16 | — | 8 | 1 | no | — |
| 945 | M16 | — | 8 | 1 | no | — |
| 946 | M16 | — | 8 | 1 | no | — |
| 947 | M16 | — | 16 | 2 | no | — |
| 948 | M16 | — | 16 | 1 | no | — |
| 949 | C2×C8 | — | 2 | 1 | no | — |
| 950 | C2×C8 | — | 2 | 1 | no | — |
| 951 | C2×C8 | — | 2 | 1 | no | — |
| 952 | C2×C8 | — | 2 | 1 | no | — |
| 953 | C2×C8 | — | 4 | 1 | no | — |
| 954 | C2×C8 | — | 4 | 1 | no | — |
| 955 | C2×C8 | — | 4 | 1 | no | — |
| 956 | C2×C8 | — | 4 | 1 | no | — |
| 957 | C2×C8 | — | 4 | 1 | no | — |
| 958 | C2×C8 | — | 4 | 1 | no | — |
| 959 | C2×C8 | — | 4 | 1 | no | — |
| 960 | C2×C8 | — | 4 | 1 | no | — |
| 961 | C2×C8 | — | 8 | 1 | no | — |
| 962 | C2×C8 | — | 8 | 1 | no | — |
| 963 | C2×C8 | — | 8 | 1 | no | — |
| 964 | C2×C8 | — | 8 | 1 | no | — |
| 965 | C2×C8 | — | 16 | 2 | no | — |
| 966 | C2×C8 | — | 32 | 1 | no | — |
| 967 | C2×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 968 | C2×C8 | #518 | 1 | 1 | yes | characteristic |
| 969 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 970 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 971 | C4⋊C4 | — | 2 | 1 | no | — |
| 972 | C4⋊C4 | — | 2 | 1 | no | — |
| 973 | C4⋊C4 | — | 2 | 1 | no | — |
| 974 | C4⋊C4 | — | 2 | 1 | no | — |
| 975 | C4⋊C4 | — | 2 | 1 | no | — |
| 976 | C4⋊C4 | — | 2 | 1 | no | — |
| 977 | C4⋊C4 | — | 4 | 2 | no | — |
| 978 | C4⋊C4 | — | 4 | 1 | no | — |
| 979 | C4⋊C4 | — | 4 | 1 | no | — |
| 980 | C4⋊C4 | — | 4 | 1 | no | — |
| 981 | C4⋊C4 | — | 4 | 1 | no | — |
| 982 | C4⋊C4 | — | 4 | 1 | no | — |
| 983 | C4⋊C4 | — | 4 | 1 | no | — |
| 984 | C4⋊C4 | — | 4 | 1 | no | — |
| 985 | C4⋊C4 | — | 8 | 1 | no | — |
| 986 | C4⋊C4 | — | 8 | 1 | no | — |
| 987 | C4⋊C4 | — | 8 | 1 | no | — |
| 988 | C4⋊C4 | — | 8 | 1 | no | — |
| 989 | C4⋊C4 | — | 8 | 1 | no | — |
| 990 | C4⋊C4 | #442 | 1 | 1 | yes | characteristic |
| 991 | C4⋊C4 | #442 | 1 | 1 | yes | characteristic |
| 992 | C22⋊C4 | — | 2 | 1 | no | — |
| 993 | C22⋊C4 | — | 2 | 1 | no | — |
| 994 | C22⋊C4 | — | 2 | 1 | no | — |
| 995 | C22⋊C4 | — | 4 | 1 | no | — |
| 996 | C22⋊C4 | — | 4 | 1 | no | — |
| 997 | C22⋊C4 | — | 4 | 1 | no | — |
| 998 | C22⋊C4 | — | 4 | 1 | no | — |
| 999 | C22⋊C4 | — | 4 | 1 | no | — |
| 1000 | C22⋊C4 | — | 4 | 1 | no | — |
| 1001 | C22⋊C4 | — | 4 | 1 | no | — |
| 1002 | C22⋊C4 | — | 8 | 1 | no | — |
| 1003 | C22⋊C4 | — | 8 | 1 | no | — |
| 1004 | C22⋊C4 | — | 8 | 1 | no | — |
| 1005 | C22⋊C4 | — | 8 | 1 | no | — |
| 1006 | C22⋊C4 | — | 8 | 1 | no | — |
| 1007 | C22⋊C4 | — | 8 | 1 | no | — |
| 1008 | C22⋊C4 | — | 8 | 1 | no | — |
| 1009 | C22⋊C4 | — | 8 | 1 | no | — |
| 1010 | C22⋊C4 | — | 8 | 4 | no | — |
| 1011 | C22⋊C4 | — | 8 | 1 | no | — |
| 1012 | C22⋊C4 | — | 8 | 1 | no | — |
| 1013 | C22⋊C4 | — | 8 | 1 | no | — |
| 1014 | C22⋊C4 | — | 8 | 1 | no | — |
| 1015 | C42 | — | 2 | 1 | no | — |
| 1016 | C42 | — | 2 | 1 | no | — |
| 1017 | C42 | — | 2 | 1 | no | — |
| 1018 | C42 | — | 2 | 2 | no | — |
| 1019 | C42 | — | 4 | 1 | no | — |
| 1020 | C42 | — | 4 | 1 | no | — |
| 1021 | C42 | — | 4 | 1 | no | — |
| 1022 | C42 | — | 4 | 1 | no | — |
| 1023 | C42 | — | 4 | 1 | no | — |
| 1024 | C42 | — | 4 | 1 | no | — |
| 1025 | C42 | — | 8 | 1 | no | — |
| 1026 | C42 | — | 8 | 1 | no | — |
| 1027 | C42 | — | 8 | 1 | no | — |
| 1028 | C42 | — | 8 | 1 | no | — |
| 1029 | C42 | — | 8 | 1 | no | — |
| 1030 | C42 | — | 16 | 2 | no | — |
| 1031 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1032 | C42 | D42 | 1 | 1 | yes | characteristic |
| 1033 | C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1034 | C42 | #576 | 1 | 1 | yes | characteristic |
| 1035 | C16 | — | 2 | 1 | no | — |
| 1036 | C16 | — | 2 | 1 | no | — |
| 1037 | C16 | — | 2 | 1 | no | — |
| 1038 | C16 | — | 2 | 1 | no | — |
| 1039 | C16 | — | 4 | 1 | no | — |
| 1040 | C16 | — | 4 | 1 | no | — |
| 1041 | C16 | — | 8 | 1 | no | — |
| 1042 | C16 | — | 8 | 1 | no | — |
| 1043 | C23 | — | 2 | 1 | no | — |
| 1044 | C23 | — | 4 | 1 | no | — |
| 1045 | C23 | — | 4 | 1 | no | — |
| 1046 | C23 | — | 4 | 1 | no | — |
| 1047 | C23 | — | 8 | 2 | no | — |
| 1048 | C23 | — | 8 | 1 | no | — |
| 1049 | C23 | — | 8 | 1 | no | — |
| 1050 | C23 | — | 8 | 1 | no | — |
| 1051 | C23 | — | 8 | 1 | no | — |
| 1052 | C23 | — | 16 | 1 | no | — |
| 1053 | C23 | — | 16 | 2 | no | — |
| 1054 | C23 | — | 16 | 2 | no | — |
| 1055 | C23 | — | 32 | 1 | no | — |
| 1056 | C23 | #3264 | 1 | 1 | yes | characteristic |
| 1057 | Q8 | — | 2 | 1 | no | — |
| 1058 | Q8 | — | 4 | 1 | no | — |
| 1059 | Q8 | — | 4 | 1 | no | — |
| 1060 | Q8 | — | 8 | 1 | no | — |
| 1061 | Q8 | — | 8 | 1 | no | — |
| 1062 | Q8 | — | 16 | 2 | no | — |
| 1063 | Q8 | — | 16 | 1 | no | — |
| 1064 | Q8 | — | 32 | 1 | no | — |
| 1065 | Q8 | AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 1066 | D4 | — | 2 | 2 | no | — |
| 1067 | D4 | — | 2 | 1 | no | — |
| 1068 | D4 | — | 2 | 1 | no | — |
| 1069 | D4 | — | 4 | 2 | no | — |
| 1070 | D4 | — | 4 | 1 | no | — |
| 1071 | D4 | — | 4 | 1 | no | — |
| 1072 | D4 | — | 4 | 1 | no | — |
| 1073 | D4 | — | 4 | 1 | no | — |
| 1074 | D4 | — | 4 | 1 | no | — |
| 1075 | D4 | — | 8 | 2 | no | — |
| 1076 | D4 | — | 8 | 1 | no | — |
| 1077 | D4 | — | 8 | 1 | no | — |
| 1078 | D4 | — | 8 | 1 | no | — |
| 1079 | D4 | — | 8 | 1 | no | — |
| 1080 | D4 | — | 8 | 1 | no | — |
| 1081 | D4 | — | 8 | 1 | no | — |
| 1082 | D4 | — | 8 | 1 | no | — |
| 1083 | D4 | — | 8 | 1 | no | — |
| 1084 | D4 | — | 16 | 2 | no | — |
| 1085 | D4 | — | 16 | 2 | no | — |
| 1086 | D4 | — | 16 | 1 | no | — |
| 1087 | D4 | — | 16 | 1 | no | — |
| 1088 | D4 | — | 16 | 2 | no | — |
| 1089 | D4 | — | 16 | 1 | no | — |
| 1090 | D4 | — | 16 | 2 | no | — |
| 1091 | D4 | — | 16 | 2 | no | — |
| 1092 | D4 | — | 16 | 1 | no | — |
| 1093 | D4 | — | 16 | 1 | no | — |
| 1094 | D4 | — | 16 | 2 | no | — |
| 1095 | D4 | — | 32 | 1 | no | — |
| 1096 | D4 | — | 32 | 1 | no | — |
| 1097 | D4 | — | 32 | 1 | no | — |
| 1098 | D4 | — | 32 | 1 | no | — |
| 1099 | D4 | — | 32 | 1 | no | — |
| 1100 | C2×C4 | — | 2 | 1 | no | — |
| 1101 | C2×C4 | — | 2 | 1 | no | — |
| 1102 | C2×C4 | — | 2 | 1 | no | — |
| 1103 | C2×C4 | — | 2 | 1 | no | — |
| 1104 | C2×C4 | — | 2 | 1 | no | — |
| 1105 | C2×C4 | — | 2 | 1 | no | — |
| 1106 | C2×C4 | — | 2 | 1 | no | — |
| 1107 | C2×C4 | — | 4 | 1 | no | — |
| 1108 | C2×C4 | — | 4 | 2 | no | — |
| 1109 | C2×C4 | — | 4 | 1 | no | — |
| 1110 | C2×C4 | — | 4 | 1 | no | — |
| 1111 | C2×C4 | — | 4 | 2 | no | — |
| 1112 | C2×C4 | — | 4 | 1 | no | — |
| 1113 | C2×C4 | — | 4 | 1 | no | — |
| 1114 | C2×C4 | — | 4 | 1 | no | — |
| 1115 | C2×C4 | — | 4 | 1 | no | — |
| 1116 | C2×C4 | — | 4 | 1 | no | — |
| 1117 | C2×C4 | — | 8 | 1 | no | — |
| 1118 | C2×C4 | — | 8 | 1 | no | — |
| 1119 | C2×C4 | — | 8 | 1 | no | — |
| 1120 | C2×C4 | — | 8 | 1 | no | — |
| 1121 | C2×C4 | — | 8 | 1 | no | — |
| 1122 | C2×C4 | — | 8 | 1 | no | — |
| 1123 | C2×C4 | — | 8 | 1 | no | — |
| 1124 | C2×C4 | — | 8 | 1 | no | — |
| 1125 | C2×C4 | — | 8 | 1 | no | — |
| 1126 | C2×C4 | — | 8 | 1 | no | — |
| 1127 | C2×C4 | — | 8 | 1 | no | — |
| 1128 | C2×C4 | — | 8 | 1 | no | — |
| 1129 | C2×C4 | — | 8 | 1 | no | — |
| 1130 | C2×C4 | — | 8 | 1 | no | — |
| 1131 | C2×C4 | — | 8 | 1 | no | — |
| 1132 | C2×C4 | — | 8 | 1 | no | — |
| 1133 | C2×C4 | — | 8 | 1 | no | — |
| 1134 | C2×C4 | — | 8 | 2 | no | — |
| 1135 | C2×C4 | — | 8 | 1 | no | — |
| 1136 | C2×C4 | — | 8 | 1 | no | — |
| 1137 | C2×C4 | — | 16 | 1 | no | — |
| 1138 | C2×C4 | — | 16 | 2 | no | — |
| 1139 | C2×C4 | — | 16 | 2 | no | — |
| 1140 | C2×C4 | — | 16 | 2 | no | — |
| 1141 | C2×C4 | — | 16 | 1 | no | — |
| 1142 | C2×C4 | — | 16 | 1 | no | — |
| 1143 | C2×C4 | — | 16 | 1 | no | — |
| 1144 | C2×C4 | — | 16 | 1 | no | — |
| 1145 | C2×C4 | — | 16 | 2 | no | — |
| 1146 | C2×C4 | — | 16 | 2 | no | — |
| 1147 | C2×C4 | — | 16 | 8 | no | — |
| 1148 | C2×C4 | — | 16 | 1 | no | — |
| 1149 | C2×C4 | — | 16 | 1 | no | — |
| 1150 | C2×C4 | D4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 1151 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1152 | C2×C4 | #2948 | 1 | 1 | yes | characteristic |
| 1153 | C2×C4 | #3264 | 1 | 1 | yes | characteristic |
| 1154 | C2×C4 | #3264 | 1 | 1 | yes | characteristic |
| 1155 | C2×C4 | #3264 | 1 | 1 | yes | characteristic |
| 1156 | C8 | — | 2 | 1 | no | — |
| 1157 | C8 | — | 2 | 1 | no | — |
| 1158 | C8 | — | 2 | 1 | no | — |
| 1159 | C8 | — | 4 | 1 | no | — |
| 1160 | C8 | — | 4 | 1 | no | — |
| 1161 | C8 | — | 8 | 1 | no | — |
| 1162 | C8 | — | 8 | 1 | no | — |
| 1163 | C8 | — | 8 | 1 | no | — |
| 1164 | C8 | — | 16 | 1 | no | — |
| 1165 | C8 | — | 16 | 1 | no | — |
| 1166 | C8 | — | 16 | 1 | no | — |
| 1167 | C8 | C2×#421 | 1 | 1 | yes | characteristic |
| 1168 | C8 | #2901 | 1 | 1 | yes | characteristic |
| 1169 | C22 | — | 2 | 1 | no | — |
| 1170 | C22 | — | 2 | 1 | no | — |
| 1171 | C22 | — | 2 | 1 | no | — |
| 1172 | C22 | — | 4 | 1 | no | — |
| 1173 | C22 | — | 4 | 1 | no | — |
| 1174 | C22 | — | 4 | 1 | no | — |
| 1175 | C22 | — | 4 | 2 | no | — |
| 1176 | C22 | — | 8 | 1 | no | — |
| 1177 | C22 | — | 8 | 1 | no | — |
| 1178 | C22 | — | 8 | 1 | no | — |
| 1179 | C22 | — | 8 | 1 | no | — |
| 1180 | C22 | — | 8 | 1 | no | — |
| 1181 | C22 | — | 8 | 1 | no | — |
| 1182 | C22 | — | 8 | 1 | no | — |
| 1183 | C22 | — | 8 | 1 | no | — |
| 1184 | C22 | — | 16 | 2 | no | — |
| 1185 | C22 | — | 16 | 2 | no | — |
| 1186 | C22 | — | 16 | 1 | no | — |
| 1187 | C22 | — | 16 | 1 | no | — |
| 1188 | C22 | — | 16 | 1 | no | — |
| 1189 | C22 | — | 16 | 1 | no | — |
| 1190 | C22 | — | 16 | 1 | no | — |
| 1191 | C22 | — | 16 | 1 | no | — |
| 1192 | C22 | — | 32 | 4 | no | — |
| 1193 | C22 | #22436 | 1 | 1 | yes | characteristic |
| 1194 | C4 | — | 2 | 1 | no | — |
| 1195 | C4 | — | 2 | 2 | no | — |
| 1196 | C4 | — | 2 | 1 | no | — |
| 1197 | C4 | — | 2 | 1 | no | — |
| 1198 | C4 | — | 2 | 1 | no | — |
| 1199 | C4 | — | 4 | 1 | no | — |
| 1200 | C4 | — | 4 | 1 | no | — |
| 1201 | C4 | — | 8 | 2 | no | — |
| 1202 | C4 | — | 8 | 1 | no | — |
| 1203 | C4 | — | 8 | 1 | no | — |
| 1204 | C4 | — | 8 | 1 | no | — |
| 1205 | C4 | — | 8 | 1 | no | — |
| 1206 | C4 | — | 8 | 1 | no | — |
| 1207 | C4 | — | 16 | 2 | no | — |
| 1208 | C4 | — | 16 | 1 | no | — |
| 1209 | C4 | — | 16 | 1 | no | — |
| 1210 | C4 | #22434 | 1 | 1 | yes | characteristic |
| 1211 | C4 | #22462 | 1 | 1 | yes | characteristic |
| 1212 | C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1213 | C4 | #33471 | 1 | 1 | yes | characteristic |
| 1214 | C2 | — | 4 | 1 | no | — |
| 1215 | C2 | — | 8 | 1 | no | — |
| 1216 | C2 | — | 8 | 2 | no | — |
| 1217 | C2 | — | 16 | 1 | no | — |
| 1218 | C2 | — | 16 | 1 | no | — |
| 1219 | C2 | — | 32 | 1 | no | — |
| 1220 | C2 | — | 32 | 1 | no | — |
| 1221 | C2 | #222624 | 1 | 1 | yes | characteristic |
| 1222 | C2 | #497422 | 1 | 1 | yes | characteristic |
| 1223 | C2 | #497430 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #22436 |
| commutator | C4×C8 | C23×C4 |
| Frattini, cosocle | C2×C4×C8 | C24 |
| prime radical | #7624012 | C2 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C42 ◁ #8192 ◁ G | |
| LECS | G ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #494991 | C2 | semidirect |
| 3. #484106 | C2 | semidirect |
| 4. #221129 | C2 | semidirect |
| 5. #221064 | C2 | semidirect |
| 6. #141807 | C2 | semidirect |
| 7. #141213 | C2 | semidirect |
| 8. #138763 | C2 | semidirect |
| 9. #138740 | C2 | semidirect |
| 10. #137039 | C2 | semidirect |
| 11. #137035 | C2 | semidirect |
| 12. #135074 | C2 | semidirect |
| 13. #131816 | C2 | semidirect |
| 14. #131813 | C2 | semidirect |
| 15. #128656 | C2 | semidirect |
| 18. #33958 | C4 | semidirect |
| 19. Q8×SD32 | C4 | semidirect |
| 20. #33929 | C4 | semidirect |
| 21. #33925 | C4 | semidirect |
| 23. #33921 | C4 | semidirect |
| 25. #33899 | C4 | semidirect |
| 27. #33892 | C4 | semidirect |
| 29. #33840 | C4 | semidirect |
| 40. #21293 | C22 | semidirect |
| 42. #18065 | C22 | semidirect |
| 49. C4×#365 | C22 | semidirect |
| 51. C4×#360 | C22 | semidirect |
| 52. #12594 | C22 | semidirect |
| 57. #12020 | C22 | semidirect |
| 59. #11744 | C22 | semidirect |
| 61. #11680 | C22 | semidirect |
| 62. #11666 | C22 | semidirect |
| 65. #11414 | C22 | semidirect |
| 67. #9849 | C22 | semidirect |
| 68. #9726 | C22 | semidirect |
| 79. #7302 | C22 | semidirect |
| 80. #7300 | C22 | semidirect |
| 81. #7164 | C22 | semidirect |
| 82. #7149 | C22 | semidirect |
| 88. #3391 | C2×C4 | semidirect |
| 89. Q8×Q16 | C2×C4 | semidirect |
| 94. #3341 | C2×C4 | semidirect |
| 102. #3287 | C2×C4 | semidirect |
| 125. #2254 | C2×C4 | semidirect |
| 127. #2246 | C2×C4 | semidirect |
| 130. #2240 | C2×C4 | semidirect |
| 131. #2240 | C2×C4 | semidirect |
| 143. #2225 | C2×C4 | semidirect |
| 145. #2224 | C2×C4 | semidirect |
| 153. #2207 | C2×C4 | semidirect |
| 159. #2206 | C2×C4 | semidirect |
| 166. Q8×C16 | C2×C4 | semidirect |
| 167. Q8×C16 | C2×C4 | semidirect |
| 188. #2169 | C2×C4 | semidirect |
| 189. #2169 | C2×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #7624012 | 2 |
| #494991 | 2 |
| #484106 | 2 |
| #221129 | 2 |
| #221064 | 2 |
| #141807 | 2 |
| #141213 | 2 |
| #138763 | 2 |
| #138740 | 2 |
| #137039 | 2 |
| #137035 | 2 |
| #135074 | 2 |
| #131816 | 2 |
| #131813 | 2 |
| #128656 | 2 |