Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1585 conjugacy classes of subgroups.
The subgroup lattice has 1459 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72286160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72286149 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72286130 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72286118 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72286111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72286095 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72286070 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72286048 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72225043 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #72224979 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72224951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #7623252 | C22 | 1 | 1 | yes | characteristic |
| 13 | #6345785 | — | 2 | 1 | no | — |
| 14 | #512736 | C22 | 1 | 1 | yes | characteristic |
| 15 | #512736 | C22 | 1 | 1 | yes | characteristic |
| 16 | #496723 | — | 2 | 1 | no | — |
| 17 | #494212 | C22 | 1 | 1 | yes | characteristic |
| 18 | #484147 | — | 2 | 1 | no | — |
| 19 | #484143 | — | 2 | 1 | no | — |
| 20 | #484141 | — | 2 | 1 | no | — |
| 21 | #484140 | — | 2 | 1 | no | — |
| 22 | #484110 | — | 2 | 1 | no | — |
| 23 | #484105 | — | 2 | 1 | no | — |
| 24 | #484102 | — | 2 | 1 | no | — |
| 25 | #484097 | — | 2 | 1 | no | — |
| 26 | #483996 | C22 | 1 | 1 | yes | characteristic |
| 27 | #483993 | C22 | 1 | 1 | yes | characteristic |
| 28 | #483992 | C22 | 1 | 1 | yes | characteristic |
| 29 | #483989 | C22 | 1 | 1 | yes | characteristic |
| 30 | #483967 | — | 2 | 1 | no | — |
| 31 | #483957 | — | 2 | 1 | no | — |
| 32 | #483399 | C22 | 1 | 1 | yes | characteristic |
| 33 | #483327 | C22 | 1 | 1 | yes | characteristic |
| 34 | #481393 | — | 2 | 1 | no | — |
| 35 | #479960 | C22 | 1 | 1 | yes | characteristic |
| 36 | #151060 | — | 2 | 1 | no | — |
| 37 | #151060 | C22 | 1 | 2 | yes | complemented |
| 38 | #151059 | — | 2 | 1 | no | — |
| 39 | #151059 | C22 | 1 | 2 | yes | complemented |
| 40 | #151024 | — | 2 | 1 | no | — |
| 41 | C2×#7457 | — | 2 | 1 | no | — |
| 42 | #150883 | C4 | 1 | 1 | yes | characteristic |
| 43 | #150881 | C4 | 1 | 1 | yes | characteristic |
| 44 | #150879 | C4 | 1 | 1 | yes | characteristic |
| 45 | #150878 | C4 | 1 | 1 | yes | characteristic |
| 46 | #150798 | C4 | 1 | 2 | yes | — |
| 47 | #150797 | C4 | 1 | 2 | yes | — |
| 48 | #150391 | C22 | 1 | 2 | yes | — |
| 49 | #150390 | C22 | 1 | 2 | yes | — |
| 50 | #150131 | — | 2 | 1 | no | — |
| 51 | #150131 | C22 | 1 | 2 | yes | — |
| 52 | #150129 | — | 2 | 1 | no | — |
| 53 | #150129 | C22 | 1 | 2 | yes | — |
| 54 | #150074 | — | 2 | 1 | no | — |
| 55 | C2×#7390 | — | 2 | 1 | no | — |
| 56 | #140362 | C22 | 1 | 2 | yes | complemented |
| 57 | #140361 | C22 | 1 | 2 | yes | complemented |
| 58 | #140357 | — | 2 | 1 | no | — |
| 59 | #140356 | — | 2 | 1 | no | — |
| 60 | #126851 | — | 2 | 1 | no | — |
| 61 | #94418 | C22 | 1 | 2 | yes | complemented |
| 62 | #94417 | C22 | 1 | 2 | yes | complemented |
| 63 | #94121 | C22 | 1 | 2 | yes | complemented |
| 64 | #94120 | C22 | 1 | 2 | yes | complemented |
| 65 | #60695 | — | 2 | 1 | no | — |
| 66 | #60319 | — | 4 | 1 | no | — |
| 67 | #33750 | D4 | 1 | 1 | yes | characteristic |
| 68 | #33750 | C23 | 1 | 1 | yes | characteristic |
| 69 | #33748 | D4 | 1 | 1 | yes | characteristic |
| 70 | #33748 | C23 | 1 | 1 | yes | characteristic |
| 71 | #33746 | — | 2 | 1 | no | — |
| 72 | #33746 | — | 2 | 1 | no | — |
| 73 | #33744 | — | 2 | 1 | no | — |
| 74 | #33744 | — | 2 | 1 | no | — |
| 75 | #33742 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | #33742 | Q8 | 1 | 1 | yes | characteristic |
| 77 | #33740 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | #33740 | Q8 | 1 | 1 | yes | characteristic |
| 79 | #33730 | Q8 | 1 | 1 | yes | characteristic |
| 80 | #33720 | Q8 | 1 | 1 | yes | characteristic |
| 81 | #33702 | — | 2 | 1 | no | — |
| 82 | #33612 | — | 2 | 1 | no | — |
| 83 | #33611 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #33607 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C4×#509 | — | 2 | 1 | no | — |
| 86 | #33451 | D4 | 1 | 1 | yes | characteristic |
| 87 | C2×#2177 | D4 | 1 | 1 | yes | characteristic |
| 88 | #33421 | D4 | 1 | 1 | yes | characteristic |
| 89 | #33401 | — | 2 | 1 | no | — |
| 90 | #33326 | C23 | 1 | 1 | yes | characteristic |
| 91 | #20787 | — | 2 | 1 | no | — |
| 92 | #18093 | — | 2 | 1 | no | — |
| 93 | #18091 | — | 2 | 1 | no | — |
| 94 | #18080 | — | 4 | 1 | no | — |
| 95 | #18078 | — | 4 | 1 | no | — |
| 96 | #18075 | — | 2 | 1 | no | — |
| 97 | #18073 | — | 2 | 1 | no | — |
| 98 | #18064 | — | 2 | 1 | no | — |
| 99 | #18063 | — | 2 | 1 | no | — |
| 100 | #18052 | — | 4 | 1 | no | — |
| 101 | #18046 | — | 4 | 1 | no | — |
| 102 | #18045 | — | 2 | 1 | no | — |
| 103 | #18044 | — | 2 | 1 | no | — |
| 104 | #17987 | — | 4 | 1 | no | — |
| 105 | #17985 | — | 4 | 1 | no | — |
| 106 | #17974 | — | 2 | 1 | no | — |
| 107 | #17970 | — | 2 | 1 | no | — |
| 108 | #17963 | — | 2 | 1 | no | — |
| 109 | #17962 | — | 2 | 1 | no | — |
| 110 | #17798 | — | 2 | 1 | no | — |
| 111 | #17505 | — | 4 | 1 | no | — |
| 112 | #17336 | D4 | 1 | 1 | yes | characteristic |
| 113 | #13643 | — | 2 | 1 | no | — |
| 114 | #13643 | — | 2 | 1 | no | — |
| 115 | #13643 | — | 2 | 1 | no | — |
| 116 | #13643 | C2×C4 | 1 | 2 | yes | — |
| 117 | #13642 | — | 2 | 1 | no | — |
| 118 | #13642 | — | 2 | 1 | no | — |
| 119 | #13642 | C23 | 1 | 2 | yes | — |
| 120 | #13642 | C23 | 1 | 2 | yes | — |
| 121 | #13630 | — | 2 | 1 | no | — |
| 122 | #13630 | — | 2 | 1 | no | — |
| 123 | #13556 | — | 2 | 1 | no | — |
| 124 | #13556 | C2×C4 | 1 | 1 | yes | characteristic |
| 125 | #13556 | C2×C4 | 1 | 1 | yes | characteristic |
| 126 | C2×#1398 | — | 2 | 1 | no | — |
| 127 | C2×#1398 | — | 2 | 1 | no | — |
| 128 | #13164 | — | 2 | 2 | no | — |
| 129 | #13162 | — | 2 | 2 | no | — |
| 130 | #12916 | — | 4 | 1 | no | — |
| 131 | #12915 | — | 4 | 1 | no | — |
| 132 | #12911 | — | 2 | 1 | no | — |
| 133 | #12902 | — | 4 | 1 | no | — |
| 134 | #12893 | C2×C4 | 1 | 2 | yes | — |
| 135 | #12885 | — | 4 | 1 | no | — |
| 136 | #12840 | C2×C4 | 1 | 1 | yes | characteristic |
| 137 | #12839 | C2×C4 | 1 | 1 | yes | characteristic |
| 138 | #12832 | — | 2 | 1 | no | — |
| 139 | #12671 | — | 2 | 1 | no | — |
| 140 | #12668 | C23 | 1 | 2 | yes | — |
| 141 | #12089 | — | 2 | 1 | no | — |
| 142 | #12089 | — | 2 | 1 | no | — |
| 143 | #12089 | — | 2 | 1 | no | — |
| 144 | #12089 | — | 2 | 1 | no | — |
| 145 | #12087 | — | 2 | 1 | no | — |
| 146 | #12087 | — | 2 | 1 | no | — |
| 147 | #12087 | — | 2 | 1 | no | — |
| 148 | #12087 | — | 2 | 1 | no | — |
| 149 | #12080 | — | 2 | 1 | no | — |
| 150 | #12080 | — | 2 | 1 | no | — |
| 151 | #12079 | — | 2 | 1 | no | — |
| 152 | #12079 | — | 2 | 1 | no | — |
| 153 | #12078 | — | 2 | 1 | no | — |
| 154 | #12078 | — | 2 | 1 | no | — |
| 155 | #12078 | — | 2 | 1 | no | — |
| 156 | #12078 | — | 2 | 1 | no | — |
| 157 | #12078 | — | 2 | 1 | no | — |
| 158 | #12078 | — | 2 | 1 | no | — |
| 159 | #12078 | — | 2 | 1 | no | — |
| 160 | #12078 | — | 2 | 1 | no | — |
| 161 | #12078 | — | 2 | 1 | no | — |
| 162 | #12078 | — | 2 | 1 | no | — |
| 163 | #12077 | — | 2 | 1 | no | — |
| 164 | #12077 | — | 2 | 1 | no | — |
| 165 | #12067 | — | 2 | 1 | no | — |
| 166 | #12067 | — | 2 | 1 | no | — |
| 167 | #12067 | — | 2 | 1 | no | — |
| 168 | #12067 | — | 2 | 1 | no | — |
| 169 | #12065 | — | 2 | 1 | no | — |
| 170 | #12065 | — | 2 | 1 | no | — |
| 171 | #12065 | — | 2 | 1 | no | — |
| 172 | #12065 | — | 2 | 1 | no | — |
| 173 | #12021 | D4 | 1 | 1 | yes | characteristic |
| 174 | #12021 | C23 | 1 | 1 | yes | characteristic |
| 175 | #12020 | D4 | 1 | 1 | yes | characteristic |
| 176 | #12020 | C23 | 1 | 1 | yes | characteristic |
| 177 | #12019 | — | 2 | 1 | no | — |
| 178 | #12019 | — | 2 | 1 | no | — |
| 179 | #12002 | — | 2 | 1 | no | — |
| 180 | #12002 | — | 2 | 1 | no | — |
| 181 | #12002 | C23 | 1 | 2 | yes | — |
| 182 | C2×#1369 | — | 2 | 1 | no | — |
| 183 | C2×#1369 | — | 2 | 1 | no | — |
| 184 | C2×#1369 | — | 2 | 1 | no | — |
| 185 | #12000 | — | 2 | 1 | no | — |
| 186 | #11999 | D4 | 1 | 1 | yes | characteristic |
| 187 | C2×#1368 | D4 | 1 | 1 | yes | characteristic |
| 188 | #11682 | — | 2 | 1 | no | — |
| 189 | #11680 | — | 2 | 1 | no | — |
| 190 | #11678 | — | 2 | 1 | no | — |
| 191 | #11677 | — | 2 | 1 | no | — |
| 192 | #11667 | — | 2 | 1 | no | — |
| 193 | #11666 | — | 2 | 1 | no | — |
| 194 | #11665 | — | 2 | 1 | no | — |
| 195 | #11663 | — | 2 | 1 | no | — |
| 196 | #11656 | — | 2 | 1 | no | — |
| 197 | #11654 | — | 2 | 1 | no | — |
| 198 | #11652 | — | 2 | 1 | no | — |
| 199 | #11651 | — | 2 | 1 | no | — |
| 200 | #11414 | — | 2 | 1 | no | — |
| 201 | #11414 | — | 2 | 1 | no | — |
| 202 | #11413 | — | 2 | 1 | no | — |
| 203 | #11413 | — | 2 | 1 | no | — |
| 204 | #11405 | D4 | 1 | 1 | yes | characteristic |
| 205 | #11405 | C23 | 1 | 1 | yes | characteristic |
| 206 | #11404 | C23 | 1 | 1 | yes | characteristic |
| 207 | C2×#1313 | D4 | 1 | 1 | yes | characteristic |
| 208 | #7457 | — | 2 | 2 | no | — |
| 209 | #7457 | — | 2 | 2 | no | — |
| 210 | #7457 | — | 2 | 2 | no | — |
| 211 | #7457 | — | 2 | 2 | no | — |
| 212 | #7425 | C2×C4 | 1 | 2 | yes | — |
| 213 | #7424 | C2×C4 | 1 | 2 | yes | — |
| 214 | #7424 | C2×C4 | 1 | 2 | yes | — |
| 215 | #7424 | C2×C4 | 1 | 2 | yes | — |
| 216 | #7423 | C2×C4 | 1 | 2 | yes | — |
| 217 | #7422 | C2×C4 | 1 | 2 | yes | — |
| 218 | #7422 | C2×C4 | 1 | 2 | yes | — |
| 219 | #7422 | C2×C4 | 1 | 2 | yes | — |
| 220 | #7391 | — | 2 | 2 | no | — |
| 221 | #7390 | — | 2 | 2 | no | — |
| 222 | #7390 | — | 2 | 2 | no | — |
| 223 | #7390 | — | 2 | 2 | no | — |
| 224 | #7182 | — | 2 | 2 | no | — |
| 225 | #7180 | — | 2 | 2 | no | — |
| 226 | #3460 | — | 4 | 1 | no | — |
| 227 | C2×#509 | — | 2 | 1 | no | — |
| 228 | C2×#508 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 229 | C22×D16 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 230 | #3407 | — | 4 | 1 | no | — |
| 231 | C2×#504 | C22×C4 | 1 | 1 | yes | characteristic |
| 232 | C2×#504 | #41 | 1 | 1 | yes | characteristic |
| 233 | #3179 | — | 4 | 1 | no | — |
| 234 | #3179 | — | 4 | 1 | no | — |
| 235 | #3176 | — | 2 | 1 | no | — |
| 236 | #3176 | — | 2 | 1 | no | — |
| 237 | #3175 | — | 2 | 1 | no | — |
| 238 | #3175 | — | 2 | 1 | no | — |
| 239 | #3171 | — | 4 | 1 | no | — |
| 240 | #3171 | — | 4 | 1 | no | — |
| 241 | #3169 | — | 2 | 1 | no | — |
| 242 | #3169 | — | 2 | 1 | no | — |
| 243 | #3168 | — | 2 | 1 | no | — |
| 244 | #3168 | — | 2 | 1 | no | — |
| 245 | #3164 | — | 2 | 1 | no | — |
| 246 | #3155 | — | 2 | 1 | no | — |
| 247 | #3136 | — | 4 | 1 | no | — |
| 248 | #3062 | — | 4 | 1 | no | — |
| 249 | #3061 | — | 2 | 1 | no | — |
| 250 | #3058 | — | 2 | 1 | no | — |
| 251 | #2995 | — | 8 | 1 | no | — |
| 252 | #2994 | — | 4 | 1 | no | — |
| 253 | #2993 | — | 4 | 1 | no | — |
| 254 | #2991 | — | 4 | 1 | no | — |
| 255 | #2989 | — | 4 | 1 | no | — |
| 256 | #2981 | — | 4 | 1 | no | — |
| 257 | #2981 | — | 8 | 1 | no | — |
| 258 | #2979 | — | 4 | 1 | no | — |
| 259 | #2978 | — | 8 | 1 | no | — |
| 260 | #2976 | — | 8 | 1 | no | — |
| 261 | #2974 | — | 4 | 1 | no | — |
| 262 | #2970 | — | 4 | 1 | no | — |
| 263 | #2969 | — | 4 | 1 | no | — |
| 264 | #2968 | — | 8 | 1 | no | — |
| 265 | #2966 | — | 4 | 1 | no | — |
| 266 | #2965 | — | 2 | 1 | no | — |
| 267 | C4×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 268 | C4×#135 | — | 2 | 1 | no | — |
| 269 | C2×C4×D8 | — | 2 | 1 | no | — |
| 270 | #2935 | — | 4 | 1 | no | — |
| 271 | D4×M16 | — | 4 | 1 | no | — |
| 272 | #2933 | — | 8 | 1 | no | — |
| 273 | #2932 | — | 8 | 1 | no | — |
| 274 | #2931 | — | 4 | 1 | no | — |
| 275 | #2930 | — | 8 | 1 | no | — |
| 276 | C4×#131 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C2×M64 | — | 2 | 1 | no | — |
| 278 | C2×M64 | — | 2 | 1 | no | — |
| 279 | C2×M64 | — | 4 | 1 | no | — |
| 280 | #2255 | — | 2 | 1 | no | — |
| 281 | #2255 | — | 2 | 1 | no | — |
| 282 | #2254 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 283 | #2254 | C2×Q8 | 1 | 1 | yes | characteristic |
| 284 | #2253 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 285 | #2253 | C2×Q8 | 1 | 1 | yes | characteristic |
| 286 | #2250 | — | 2 | 1 | no | — |
| 287 | #2250 | — | 2 | 1 | no | — |
| 288 | #2249 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 289 | #2249 | C2×Q8 | 1 | 1 | yes | characteristic |
| 290 | #2246 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 291 | #2246 | C2×Q8 | 1 | 1 | yes | characteristic |
| 292 | #2244 | — | 2 | 1 | no | — |
| 293 | #2244 | — | 2 | 1 | no | — |
| 294 | #2243 | — | 2 | 1 | no | — |
| 295 | #2243 | — | 2 | 1 | no | — |
| 296 | #2242 | — | 2 | 1 | no | — |
| 297 | #2242 | — | 2 | 1 | no | — |
| 298 | #2240 | — | 2 | 1 | no | — |
| 299 | #2240 | — | 2 | 1 | no | — |
| 300 | #2220 | — | 2 | 1 | no | — |
| 301 | #2220 | — | 2 | 1 | no | — |
| 302 | #2219 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 303 | #2219 | C22×C4 | 1 | 1 | yes | characteristic |
| 304 | #2218 | — | 2 | 1 | no | — |
| 305 | #2218 | — | 2 | 1 | no | — |
| 306 | #2218 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 307 | #2218 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 308 | #2218 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 309 | #2218 | C22×C4 | 1 | 1 | yes | characteristic |
| 310 | #2218 | C22×C4 | 1 | 1 | yes | characteristic |
| 311 | #2218 | C22×C4 | 1 | 1 | yes | characteristic |
| 312 | #2217 | — | 2 | 1 | no | — |
| 313 | #2217 | — | 2 | 1 | no | — |
| 314 | #2217 | — | 2 | 1 | no | — |
| 315 | #2217 | — | 2 | 1 | no | — |
| 316 | #2215 | — | 2 | 1 | no | — |
| 317 | #2215 | — | 2 | 1 | no | — |
| 318 | #2215 | — | 2 | 1 | no | — |
| 319 | #2215 | — | 2 | 1 | no | — |
| 320 | #2177 | — | 2 | 1 | no | — |
| 321 | #2177 | — | 2 | 1 | no | — |
| 322 | #2177 | — | 2 | 1 | no | — |
| 323 | #2177 | — | 2 | 1 | no | — |
| 324 | #2177 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 325 | #2177 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 326 | #2177 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 327 | #2177 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | #2177 | C2×D4 | 1 | 1 | yes | characteristic |
| 329 | #2177 | C2×D4 | 1 | 1 | yes | characteristic |
| 330 | #2176 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 331 | #2176 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | #2175 | — | 2 | 1 | no | — |
| 333 | #2175 | — | 2 | 1 | no | — |
| 334 | #2175 | — | 2 | 1 | no | — |
| 335 | #2175 | — | 2 | 1 | no | — |
| 336 | C4×SD32 | — | 2 | 1 | no | — |
| 337 | C4×SD32 | — | 2 | 1 | no | — |
| 338 | C4×D16 | — | 2 | 1 | no | — |
| 339 | C4×D16 | — | 2 | 1 | no | — |
| 340 | #2164 | — | 2 | 1 | no | — |
| 341 | #2164 | — | 2 | 1 | no | — |
| 342 | #2163 | — | 2 | 1 | no | — |
| 343 | #2163 | — | 2 | 1 | no | — |
| 344 | C2×#368 | — | 2 | 1 | no | — |
| 345 | #2159 | — | 2 | 1 | no | — |
| 346 | #2158 | — | 2 | 1 | no | — |
| 347 | #2158 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 348 | C2×#367 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 349 | #2155 | — | 2 | 2 | no | — |
| 350 | #2153 | — | 4 | 1 | no | — |
| 351 | #2153 | — | 4 | 1 | no | — |
| 352 | #2153 | — | 4 | 1 | no | — |
| 353 | #2153 | — | 4 | 2 | no | — |
| 354 | C2×#364 | — | 2 | 2 | no | — |
| 355 | C2×#364 | — | 4 | 1 | no | — |
| 356 | C2×#364 | — | 4 | 1 | no | — |
| 357 | #2151 | — | 2 | 1 | no | — |
| 358 | #2151 | — | 4 | 2 | no | — |
| 359 | #2140 | — | 2 | 1 | no | — |
| 360 | #2139 | — | 2 | 1 | no | — |
| 361 | #2138 | — | 2 | 1 | no | — |
| 362 | C2×#357 | — | 2 | 1 | no | — |
| 363 | #2113 | — | 2 | 1 | no | — |
| 364 | #2108 | C22×C4 | 1 | 1 | yes | characteristic |
| 365 | #2108 | C2×Q8 | 1 | 1 | yes | characteristic |
| 366 | #2108 | C2×Q8 | 1 | 1 | yes | characteristic |
| 367 | #2108 | #41 | 1 | 1 | yes | characteristic |
| 368 | #2108 | #41 | 1 | 1 | yes | characteristic |
| 369 | #2108 | #41 | 1 | 1 | yes | characteristic |
| 370 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 371 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 372 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 373 | C4×M32 | C24 | 1 | 1 | yes | characteristic |
| 374 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 375 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 376 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 377 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | #1841 | — | 4 | 1 | no | — |
| 379 | #1833 | — | 2 | 2 | no | — |
| 380 | #1827 | — | 4 | 1 | no | — |
| 381 | #1813 | — | 2 | 1 | no | — |
| 382 | #1812 | — | 2 | 1 | no | — |
| 383 | #1772 | — | 2 | 2 | no | — |
| 384 | #1757 | — | 4 | 1 | no | — |
| 385 | #1747 | — | 4 | 1 | no | — |
| 386 | #1594 | — | 2 | 1 | no | — |
| 387 | #1594 | — | 2 | 1 | no | — |
| 388 | #1594 | — | 2 | 1 | no | — |
| 389 | #1594 | — | 2 | 1 | no | — |
| 390 | #1594 | — | 2 | 1 | no | — |
| 391 | #1594 | — | 2 | 1 | no | — |
| 392 | #1594 | — | 4 | 1 | no | — |
| 393 | #1593 | — | 2 | 1 | no | — |
| 394 | #1593 | — | 2 | 1 | no | — |
| 395 | #1592 | — | 4 | 1 | no | — |
| 396 | #1590 | — | 4 | 1 | no | — |
| 397 | #1589 | — | 4 | 1 | no | — |
| 398 | #1588 | — | 4 | 1 | no | — |
| 399 | #1586 | — | 4 | 1 | no | — |
| 400 | #1586 | — | 4 | 1 | no | — |
| 401 | #1586 | — | 4 | 1 | no | — |
| 402 | #1586 | — | 4 | 1 | no | — |
| 403 | #1585 | — | 4 | 1 | no | — |
| 404 | #1585 | — | 4 | 1 | no | — |
| 405 | #1585 | — | 4 | 1 | no | — |
| 406 | #1583 | — | 4 | 1 | no | — |
| 407 | #1583 | — | 4 | 1 | no | — |
| 408 | #1583 | — | 4 | 1 | no | — |
| 409 | #1582 | — | 4 | 1 | no | — |
| 410 | #1581 | — | 4 | 1 | no | — |
| 411 | #1581 | — | 4 | 1 | no | — |
| 412 | #1581 | — | 4 | 1 | no | — |
| 413 | #1581 | — | 4 | 1 | no | — |
| 414 | #1580 | — | 2 | 1 | no | — |
| 415 | #1580 | — | 2 | 1 | no | — |
| 416 | #1580 | — | 2 | 1 | no | — |
| 417 | #1580 | — | 2 | 1 | no | — |
| 418 | #1580 | — | 2 | 1 | no | — |
| 419 | #1580 | — | 2 | 1 | no | — |
| 420 | #1580 | — | 4 | 1 | no | — |
| 421 | #1579 | — | 2 | 1 | no | — |
| 422 | #1579 | — | 2 | 1 | no | — |
| 423 | SD16⋊C8 | — | 4 | 1 | no | — |
| 424 | C8×SD16 | — | 4 | 1 | no | — |
| 425 | C8×D8 | — | 4 | 1 | no | — |
| 426 | #1569 | — | 4 | 1 | no | — |
| 427 | #1569 | — | 4 | 1 | no | — |
| 428 | #1568 | — | 2 | 1 | no | — |
| 429 | #1568 | — | 2 | 1 | no | — |
| 430 | #1566 | — | 2 | 1 | no | — |
| 431 | #1566 | — | 2 | 1 | no | — |
| 432 | #1565 | — | 4 | 1 | no | — |
| 433 | #1564 | — | 2 | 1 | no | — |
| 434 | C2×#334 | — | 2 | 1 | no | — |
| 435 | #1496 | — | 4 | 1 | no | — |
| 436 | #1495 | — | 4 | 1 | no | — |
| 437 | #1494 | — | 4 | 1 | no | — |
| 438 | #1492 | — | 4 | 1 | no | — |
| 439 | #1490 | — | 4 | 1 | no | — |
| 440 | #1489 | — | 4 | 1 | no | — |
| 441 | #1488 | — | 4 | 1 | no | — |
| 442 | #1486 | — | 4 | 1 | no | — |
| 443 | #1484 | — | 4 | 1 | no | — |
| 444 | #1483 | — | 4 | 1 | no | — |
| 445 | #1482 | — | 4 | 1 | no | — |
| 446 | #1480 | — | 4 | 1 | no | — |
| 447 | #1455 | SD16 | 1 | 1 | yes | characteristic |
| 448 | #1455 | SD16 | 1 | 1 | yes | characteristic |
| 449 | #1453 | SD16 | 1 | 1 | yes | characteristic |
| 450 | #1453 | SD16 | 1 | 1 | yes | characteristic |
| 451 | #1451 | — | 2 | 1 | no | — |
| 452 | #1451 | — | 2 | 1 | no | — |
| 453 | #1451 | — | 2 | 1 | no | — |
| 454 | #1450 | C2×D4 | 1 | 1 | yes | characteristic |
| 455 | C2×#322 | C2×D4 | 1 | 1 | yes | characteristic |
| 456 | #1422 | — | 2 | 2 | no | — |
| 457 | #1422 | — | 2 | 2 | no | — |
| 458 | #1422 | — | 2 | 2 | no | — |
| 459 | #1422 | — | 4 | 1 | no | — |
| 460 | #1400 | — | 2 | 1 | no | — |
| 461 | #1400 | — | 2 | 1 | no | — |
| 462 | #1400 | — | 2 | 2 | no | — |
| 463 | #1400 | — | 4 | 1 | no | — |
| 464 | #1400 | C22×C4 | 1 | 2 | yes | — |
| 465 | #1400 | C22×C4 | 1 | 2 | yes | — |
| 466 | #1398 | — | 2 | 2 | no | — |
| 467 | #1398 | — | 2 | 2 | no | — |
| 468 | #1398 | — | 2 | 2 | no | — |
| 469 | #1398 | — | 4 | 1 | no | — |
| 470 | #1385 | C22×C4 | 1 | 2 | yes | — |
| 471 | #1384 | C22×C4 | 1 | 2 | yes | — |
| 472 | #1382 | — | 2 | 2 | no | — |
| 473 | #1379 | — | 4 | 2 | no | — |
| 474 | #1378 | — | 4 | 2 | no | — |
| 475 | #1369 | — | 2 | 2 | no | — |
| 476 | #1369 | — | 2 | 2 | no | — |
| 477 | #1369 | — | 4 | 1 | no | — |
| 478 | #1369 | — | 4 | 1 | no | — |
| 479 | #1368 | — | 2 | 1 | no | — |
| 480 | #1368 | — | 2 | 1 | no | — |
| 481 | #1368 | — | 2 | 1 | no | — |
| 482 | #1368 | — | 2 | 1 | no | — |
| 483 | #1368 | — | 2 | 1 | no | — |
| 484 | #1368 | — | 2 | 1 | no | — |
| 485 | #1368 | C2×D4 | 1 | 1 | yes | characteristic |
| 486 | #1368 | C2×D4 | 1 | 1 | yes | characteristic |
| 487 | #1368 | C2×D4 | 1 | 1 | yes | characteristic |
| 488 | #1368 | C2×D4 | 1 | 1 | yes | characteristic |
| 489 | #1334 | — | 2 | 1 | no | — |
| 490 | #1334 | — | 2 | 1 | no | — |
| 491 | #1334 | — | 2 | 1 | no | — |
| 492 | #1334 | — | 2 | 1 | no | — |
| 493 | #1333 | — | 2 | 1 | no | — |
| 494 | #1333 | — | 2 | 1 | no | — |
| 495 | #1333 | — | 2 | 1 | no | — |
| 496 | #1333 | — | 2 | 1 | no | — |
| 497 | #1333 | — | 2 | 1 | no | — |
| 498 | #1333 | — | 2 | 1 | no | — |
| 499 | #1333 | — | 2 | 1 | no | — |
| 500 | #1333 | — | 2 | 1 | no | — |
| 501 | #1333 | — | 2 | 1 | no | — |
| 502 | #1333 | — | 2 | 1 | no | — |
| 503 | #1333 | — | 2 | 1 | no | — |
| 504 | #1333 | — | 2 | 1 | no | — |
| 505 | #1313 | — | 2 | 1 | no | — |
| 506 | #1313 | — | 2 | 1 | no | — |
| 507 | #1313 | — | 2 | 1 | no | — |
| 508 | #1313 | — | 2 | 1 | no | — |
| 509 | #1313 | — | 2 | 1 | no | — |
| 510 | #1313 | — | 2 | 1 | no | — |
| 511 | #1313 | — | 2 | 1 | no | — |
| 512 | #1313 | — | 2 | 1 | no | — |
| 513 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 514 | C2×#135 | — | 2 | 1 | no | — |
| 515 | C22×D8 | — | 2 | 1 | no | — |
| 516 | C2×#131 | — | 8 | 1 | no | — |
| 517 | C2×#131 | — | 8 | 1 | no | — |
| 518 | C2×#131 | C4×D4 | 1 | 1 | yes | characteristic |
| 519 | C2×#131 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 520 | C22×M16 | — | 8 | 1 | no | — |
| 521 | #544 | — | 4 | 1 | no | — |
| 522 | #542 | — | 4 | 1 | no | — |
| 523 | #542 | — | 4 | 1 | no | — |
| 524 | #542 | — | 8 | 1 | no | — |
| 525 | #540 | — | 4 | 1 | no | — |
| 526 | #540 | — | 4 | 1 | no | — |
| 527 | #540 | — | 8 | 1 | no | — |
| 528 | #538 | — | 8 | 1 | no | — |
| 529 | #538 | — | 8 | 1 | no | — |
| 530 | #537 | — | 4 | 1 | no | — |
| 531 | #535 | — | 4 | 1 | no | — |
| 532 | #535 | — | 4 | 1 | no | — |
| 533 | #532 | — | 4 | 1 | no | — |
| 534 | #532 | — | 4 | 1 | no | — |
| 535 | #532 | — | 8 | 1 | no | — |
| 536 | #529 | — | 4 | 1 | no | — |
| 537 | #529 | — | 4 | 1 | no | — |
| 538 | #529 | — | 8 | 1 | no | — |
| 539 | #525 | — | 8 | 1 | no | — |
| 540 | #525 | — | 8 | 1 | no | — |
| 541 | C4×#41 | — | 4 | 1 | no | — |
| 542 | C4×#41 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 543 | C2×C4×D4 | — | 4 | 1 | no | — |
| 544 | #509 | — | 8 | 2 | no | — |
| 545 | #508 | — | 4 | 1 | no | — |
| 546 | #508 | — | 4 | 1 | no | — |
| 547 | C2×Q32 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 548 | C2×SD32 | — | 2 | 1 | no | — |
| 549 | C2×SD32 | — | 2 | 1 | no | — |
| 550 | C2×SD32 | — | 2 | 1 | no | — |
| 551 | C2×D16 | — | 2 | 1 | no | — |
| 552 | C2×D16 | — | 2 | 1 | no | — |
| 553 | C2×D16 | — | 2 | 1 | no | — |
| 554 | C2×D16 | — | 4 | 1 | no | — |
| 555 | C2×D16 | — | 4 | 1 | no | — |
| 556 | C2×D16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 557 | C2×D16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 558 | C2×D16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 559 | #504 | — | 4 | 1 | no | — |
| 560 | #504 | — | 4 | 1 | no | — |
| 561 | #504 | — | 8 | 1 | no | — |
| 562 | #504 | — | 16 | 2 | no | — |
| 563 | C2×M32 | — | 2 | 1 | no | — |
| 564 | C2×M32 | — | 4 | 2 | no | — |
| 565 | C2×M32 | — | 8 | 1 | no | — |
| 566 | C2×M32 | — | 8 | 1 | no | — |
| 567 | C2×M32 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 568 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 569 | C2×M32 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 570 | C2×M32 | #123 | 1 | 1 | yes | characteristic |
| 571 | C2×M32 | C23×C4 | 1 | 1 | yes | characteristic |
| 572 | C2×M32 | C2×#41 | 1 | 1 | yes | characteristic |
| 573 | C22×C16 | — | 2 | 1 | no | — |
| 574 | C22×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 575 | C22×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 576 | C22×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 577 | C22×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 578 | C22×C16 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 579 | C22×C16 | #123 | 1 | 1 | yes | characteristic |
| 580 | #501 | — | 4 | 1 | no | — |
| 581 | #501 | — | 4 | 1 | no | — |
| 582 | #500 | — | 2 | 1 | no | — |
| 583 | #500 | — | 2 | 1 | no | — |
| 584 | #499 | — | 2 | 1 | no | — |
| 585 | #499 | — | 2 | 1 | no | — |
| 586 | #496 | — | 4 | 1 | no | — |
| 587 | #496 | — | 4 | 1 | no | — |
| 588 | #495 | — | 2 | 1 | no | — |
| 589 | #495 | — | 2 | 1 | no | — |
| 590 | #493 | — | 2 | 1 | no | — |
| 591 | #493 | — | 2 | 1 | no | — |
| 592 | #490 | — | 4 | 1 | no | — |
| 593 | #490 | — | 4 | 1 | no | — |
| 594 | #489 | — | 4 | 1 | no | — |
| 595 | #489 | — | 4 | 1 | no | — |
| 596 | #488 | — | 4 | 1 | no | — |
| 597 | #488 | — | 4 | 1 | no | — |
| 598 | #486 | — | 4 | 1 | no | — |
| 599 | #486 | — | 4 | 1 | no | — |
| 600 | #469 | — | 4 | 1 | no | — |
| 601 | #469 | — | 4 | 1 | no | — |
| 602 | #469 | — | 4 | 1 | no | — |
| 603 | #469 | — | 4 | 1 | no | — |
| 604 | #468 | — | 4 | 1 | no | — |
| 605 | #468 | — | 4 | 1 | no | — |
| 606 | #468 | — | 4 | 1 | no | — |
| 607 | #468 | — | 4 | 1 | no | — |
| 608 | #467 | — | 2 | 1 | no | — |
| 609 | #467 | — | 2 | 1 | no | — |
| 610 | #466 | — | 2 | 1 | no | — |
| 611 | #466 | — | 2 | 1 | no | — |
| 612 | #466 | — | 2 | 1 | no | — |
| 613 | #466 | — | 2 | 1 | no | — |
| 614 | #466 | — | 2 | 1 | no | — |
| 615 | #466 | — | 2 | 1 | no | — |
| 616 | #466 | — | 4 | 1 | no | — |
| 617 | #466 | — | 4 | 1 | no | — |
| 618 | #465 | — | 4 | 1 | no | — |
| 619 | #465 | — | 4 | 1 | no | — |
| 620 | #446 | — | 4 | 1 | no | — |
| 621 | #446 | — | 4 | 1 | no | — |
| 622 | #446 | — | 4 | 1 | no | — |
| 623 | #446 | — | 8 | 1 | no | — |
| 624 | C8×Q8 | — | 4 | 1 | no | — |
| 625 | C8×Q8 | — | 4 | 1 | no | — |
| 626 | #442 | — | 4 | 1 | no | — |
| 627 | #442 | — | 4 | 1 | no | — |
| 628 | #440 | — | 4 | 1 | no | — |
| 629 | #440 | — | 4 | 1 | no | — |
| 630 | C4×Q16 | — | 2 | 1 | no | — |
| 631 | C4×Q16 | — | 2 | 1 | no | — |
| 632 | C4×SD16 | — | 4 | 1 | no | — |
| 633 | C4×SD16 | — | 4 | 1 | no | — |
| 634 | C4×SD16 | — | 4 | 1 | no | — |
| 635 | C4×SD16 | — | 4 | 1 | no | — |
| 636 | C4×D8 | — | 2 | 1 | no | — |
| 637 | C4×D8 | — | 2 | 1 | no | — |
| 638 | C4×D8 | — | 2 | 1 | no | — |
| 639 | C4×D8 | — | 2 | 1 | no | — |
| 640 | C4×D8 | — | 2 | 1 | no | — |
| 641 | C4×D8 | — | 2 | 1 | no | — |
| 642 | C4×D8 | — | 4 | 1 | no | — |
| 643 | C4×D8 | — | 4 | 1 | no | — |
| 644 | C4×D8 | — | 4 | 1 | no | — |
| 645 | C4×D8 | — | 4 | 1 | no | — |
| 646 | #436 | — | 4 | 1 | no | — |
| 647 | #436 | — | 4 | 1 | no | — |
| 648 | #436 | — | 4 | 1 | no | — |
| 649 | #436 | — | 4 | 1 | no | — |
| 650 | #436 | — | 4 | 1 | no | — |
| 651 | #436 | — | 4 | 1 | no | — |
| 652 | #436 | — | 4 | 1 | no | — |
| 653 | #436 | — | 8 | 1 | no | — |
| 654 | #436 | — | 8 | 1 | no | — |
| 655 | #436 | — | 8 | 1 | no | — |
| 656 | #436 | — | 8 | 1 | no | — |
| 657 | #436 | — | 8 | 1 | no | — |
| 658 | #436 | — | 8 | 1 | no | — |
| 659 | #436 | — | 8 | 1 | no | — |
| 660 | #435 | — | 4 | 1 | no | — |
| 661 | #435 | — | 4 | 1 | no | — |
| 662 | #435 | — | 8 | 1 | no | — |
| 663 | #435 | — | 8 | 1 | no | — |
| 664 | #435 | — | 8 | 1 | no | — |
| 665 | #435 | — | 8 | 1 | no | — |
| 666 | #435 | — | 8 | 1 | no | — |
| 667 | #435 | — | 8 | 1 | no | — |
| 668 | #435 | — | 8 | 1 | no | — |
| 669 | #435 | — | 8 | 1 | no | — |
| 670 | #435 | — | 8 | 1 | no | — |
| 671 | #435 | — | 8 | 1 | no | — |
| 672 | #435 | — | 8 | 1 | no | — |
| 673 | #435 | — | 8 | 1 | no | — |
| 674 | #435 | — | 8 | 1 | no | — |
| 675 | #435 | — | 8 | 1 | no | — |
| 676 | #435 | — | 8 | 1 | no | — |
| 677 | #435 | — | 8 | 1 | no | — |
| 678 | C8×D4 | — | 4 | 1 | no | — |
| 679 | C8×D4 | — | 4 | 1 | no | — |
| 680 | C8×D4 | — | 4 | 1 | no | — |
| 681 | C8×D4 | — | 4 | 1 | no | — |
| 682 | C8×D4 | — | 4 | 1 | no | — |
| 683 | C8×D4 | — | 4 | 1 | no | — |
| 684 | C8×D4 | — | 8 | 1 | no | — |
| 685 | C8×D4 | — | 8 | 1 | no | — |
| 686 | C8×D4 | — | 8 | 1 | no | — |
| 687 | C8×D4 | — | 8 | 1 | no | — |
| 688 | #433 | — | 8 | 1 | no | — |
| 689 | #433 | — | 8 | 1 | no | — |
| 690 | #433 | — | 8 | 1 | no | — |
| 691 | #433 | — | 8 | 1 | no | — |
| 692 | #432 | — | 4 | 1 | no | — |
| 693 | #432 | — | 4 | 1 | no | — |
| 694 | #432 | — | 8 | 1 | no | — |
| 695 | #431 | — | 2 | 1 | no | — |
| 696 | #431 | — | 2 | 1 | no | — |
| 697 | #431 | — | 2 | 1 | no | — |
| 698 | #431 | — | 4 | 1 | no | — |
| 699 | #431 | — | 8 | 1 | no | — |
| 700 | C2×#108 | — | 2 | 2 | no | — |
| 701 | #428 | — | 4 | 1 | no | — |
| 702 | #427 | — | 2 | 1 | no | — |
| 703 | #427 | — | 2 | 2 | no | — |
| 704 | C2×#107 | — | 2 | 1 | no | — |
| 705 | #424 | — | 8 | 1 | no | — |
| 706 | #424 | — | 8 | 1 | no | — |
| 707 | #423 | — | 4 | 1 | no | — |
| 708 | #423 | — | 4 | 1 | no | — |
| 709 | #423 | — | 8 | 1 | no | — |
| 710 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 711 | #418 | — | 4 | 1 | no | — |
| 712 | #417 | — | 4 | 1 | no | — |
| 713 | #416 | — | 4 | 1 | no | — |
| 714 | C2×#102 | — | 4 | 1 | no | — |
| 715 | #413 | — | 4 | 1 | no | — |
| 716 | #410 | — | 4 | 1 | no | — |
| 717 | #408 | — | 8 | 1 | no | — |
| 718 | #408 | — | 8 | 1 | no | — |
| 719 | #408 | — | 8 | 1 | no | — |
| 720 | #408 | — | 8 | 1 | no | — |
| 721 | #408 | — | 8 | 1 | no | — |
| 722 | #408 | — | 8 | 1 | no | — |
| 723 | #407 | — | 8 | 1 | no | — |
| 724 | #407 | — | 8 | 1 | no | — |
| 725 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 726 | #405 | — | 4 | 2 | no | — |
| 727 | #405 | — | 8 | 1 | no | — |
| 728 | #405 | — | 8 | 1 | no | — |
| 729 | #405 | C4×D4 | 1 | 1 | yes | characteristic |
| 730 | #405 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 731 | #405 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 732 | #405 | #135 | 1 | 1 | yes | characteristic |
| 733 | #405 | #135 | 1 | 1 | yes | characteristic |
| 734 | #405 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 735 | C4×M16 | — | 2 | 1 | no | — |
| 736 | C4×M16 | — | 2 | 1 | no | — |
| 737 | C4×M16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 738 | C4×M16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 739 | C4×M16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 740 | C2×#97 | — | 8 | 1 | no | — |
| 741 | C2×C4×C8 | — | 2 | 1 | no | — |
| 742 | C2×C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 743 | C2×C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 744 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 745 | M64 | — | 2 | 2 | no | — |
| 746 | M64 | — | 2 | 2 | no | — |
| 747 | M64 | — | 4 | 1 | no | — |
| 748 | M64 | — | 4 | 1 | no | — |
| 749 | M64 | — | 4 | 2 | no | — |
| 750 | M64 | — | 8 | 1 | no | — |
| 751 | C2×C32 | — | 4 | 1 | no | — |
| 752 | C2×C32 | — | 4 | 1 | no | — |
| 753 | C2×C32 | — | 8 | 1 | no | — |
| 754 | #368 | — | 4 | 1 | no | — |
| 755 | #368 | — | 4 | 1 | no | — |
| 756 | #367 | — | 2 | 1 | no | — |
| 757 | #367 | — | 2 | 1 | no | — |
| 758 | #367 | — | 2 | 1 | no | — |
| 759 | #367 | — | 4 | 1 | no | — |
| 760 | #367 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 761 | #367 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 762 | #367 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 763 | #367 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 764 | #366 | — | 2 | 1 | no | — |
| 765 | #366 | — | 2 | 1 | no | — |
| 766 | #366 | — | 2 | 1 | no | — |
| 767 | #366 | — | 4 | 1 | no | — |
| 768 | #365 | — | 8 | 2 | no | — |
| 769 | #364 | — | 4 | 2 | no | — |
| 770 | #364 | — | 4 | 2 | no | — |
| 771 | #364 | — | 8 | 1 | no | — |
| 772 | #364 | — | 8 | 1 | no | — |
| 773 | #364 | — | 16 | 2 | no | — |
| 774 | C4⋊C16 | — | 4 | 1 | no | — |
| 775 | C4⋊C16 | — | 4 | 1 | no | — |
| 776 | C4⋊C16 | — | 16 | 2 | no | — |
| 777 | #358 | — | 2 | 1 | no | — |
| 778 | #358 | — | 2 | 1 | no | — |
| 779 | #358 | — | 2 | 1 | no | — |
| 780 | #358 | — | 2 | 1 | no | — |
| 781 | #357 | — | 2 | 1 | no | — |
| 782 | #357 | — | 2 | 1 | no | — |
| 783 | #357 | — | 2 | 1 | no | — |
| 784 | #357 | — | 2 | 1 | no | — |
| 785 | #357 | — | 2 | 1 | no | — |
| 786 | #357 | — | 2 | 1 | no | — |
| 787 | #357 | — | 2 | 1 | no | — |
| 788 | #357 | — | 2 | 1 | no | — |
| 789 | #357 | — | 2 | 1 | no | — |
| 790 | #357 | — | 2 | 1 | no | — |
| 791 | #357 | — | 2 | 1 | no | — |
| 792 | #357 | — | 2 | 1 | no | — |
| 793 | C22⋊C16 | — | 4 | 1 | no | — |
| 794 | C22⋊C16 | — | 4 | 1 | no | — |
| 795 | #346 | — | 2 | 1 | no | — |
| 796 | #346 | — | 2 | 1 | no | — |
| 797 | #346 | — | 2 | 1 | no | — |
| 798 | #346 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 799 | #346 | C4×D4 | 1 | 1 | yes | characteristic |
| 800 | #346 | #120 | 1 | 1 | yes | characteristic |
| 801 | #346 | #120 | 1 | 1 | yes | characteristic |
| 802 | #346 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 803 | #346 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 804 | #346 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 805 | #346 | #123 | 1 | 1 | yes | characteristic |
| 806 | #346 | C22×D4 | 1 | 1 | yes | characteristic |
| 807 | #346 | C22×D4 | 1 | 1 | yes | characteristic |
| 808 | C4×C16 | — | 2 | 1 | no | — |
| 809 | C4×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 810 | C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 811 | C4×C16 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 812 | C4×C16 | #123 | 1 | 1 | yes | characteristic |
| 813 | C4×C16 | C22×Q8 | 1 | 1 | yes | characteristic |
| 814 | C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 815 | #344 | — | 4 | 2 | no | — |
| 816 | #339 | — | 4 | 2 | no | — |
| 817 | #338 | — | 4 | 1 | no | — |
| 818 | H(3,ℤ/4) | — | 4 | 1 | no | — |
| 819 | H(3,ℤ/4) | — | 4 | 2 | no | — |
| 820 | #335 | — | 4 | 1 | no | — |
| 821 | #335 | — | 4 | 1 | no | — |
| 822 | #335 | — | 4 | 1 | no | — |
| 823 | #334 | — | 2 | 1 | no | — |
| 824 | #334 | — | 2 | 1 | no | — |
| 825 | #334 | — | 2 | 1 | no | — |
| 826 | #334 | — | 2 | 1 | no | — |
| 827 | #334 | — | 4 | 1 | no | — |
| 828 | #334 | — | 4 | 1 | no | — |
| 829 | #334 | — | 4 | 1 | no | — |
| 830 | Q8⋊C8 | — | 4 | 1 | no | — |
| 831 | Q8⋊C8 | — | 4 | 1 | no | — |
| 832 | Q8⋊C8 | — | 4 | 1 | no | — |
| 833 | Q8⋊C8 | — | 4 | 1 | no | — |
| 834 | D4⋊C8 | — | 4 | 1 | no | — |
| 835 | D4⋊C8 | — | 4 | 1 | no | — |
| 836 | D4⋊C8 | — | 4 | 1 | no | — |
| 837 | D4⋊C8 | — | 4 | 1 | no | — |
| 838 | D4⋊C8 | — | 4 | 1 | no | — |
| 839 | D4⋊C8 | — | 4 | 1 | no | — |
| 840 | D4⋊C8 | — | 4 | 1 | no | — |
| 841 | D4⋊C8 | — | 4 | 1 | no | — |
| 842 | D4⋊C8 | — | 4 | 1 | no | — |
| 843 | D4⋊C8 | — | 4 | 1 | no | — |
| 844 | D4⋊C8 | — | 4 | 1 | no | — |
| 845 | D4⋊C8 | — | 4 | 1 | no | — |
| 846 | #322 | — | 2 | 1 | no | — |
| 847 | #322 | — | 2 | 1 | no | — |
| 848 | #322 | — | 2 | 1 | no | — |
| 849 | #322 | — | 2 | 1 | no | — |
| 850 | #322 | — | 2 | 1 | no | — |
| 851 | #322 | — | 2 | 1 | no | — |
| 852 | #322 | C2×SD16 | 1 | 1 | yes | characteristic |
| 853 | #322 | C2×SD16 | 1 | 1 | yes | characteristic |
| 854 | C82 | C2×SD16 | 1 | 1 | yes | characteristic |
| 855 | C82 | C2×SD16 | 1 | 1 | yes | characteristic |
| 856 | C2×#41 | — | 4 | 1 | no | — |
| 857 | C2×#41 | — | 8 | 1 | no | — |
| 858 | C2×#41 | — | 8 | 1 | no | — |
| 859 | C2×#41 | #442 | 1 | 1 | yes | characteristic |
| 860 | C22×D4 | — | 4 | 1 | no | — |
| 861 | C23×C4 | — | 8 | 1 | no | — |
| 862 | AGL(1,ℤ/8) | — | 16 | 2 | no | — |
| 863 | #135 | — | 8 | 1 | no | — |
| 864 | #135 | — | 8 | 1 | no | — |
| 865 | C2×Q16 | — | 2 | 1 | no | — |
| 866 | C2×SD16 | — | 4 | 1 | no | — |
| 867 | C2×SD16 | — | 4 | 1 | no | — |
| 868 | C2×SD16 | — | 4 | 1 | no | — |
| 869 | C2×D8 | — | 2 | 1 | no | — |
| 870 | C2×D8 | — | 2 | 1 | no | — |
| 871 | C2×D8 | — | 2 | 1 | no | — |
| 872 | C2×D8 | — | 4 | 1 | no | — |
| 873 | C2×D8 | — | 4 | 1 | no | — |
| 874 | C2×D8 | — | 4 | 1 | no | — |
| 875 | C2×D8 | — | 8 | 1 | no | — |
| 876 | C2×D8 | — | 8 | 1 | no | — |
| 877 | #131 | — | 4 | 1 | no | — |
| 878 | #131 | — | 4 | 1 | no | — |
| 879 | #131 | — | 4 | 2 | no | — |
| 880 | #131 | — | 32 | 2 | no | — |
| 881 | #131 | — | 32 | 2 | no | — |
| 882 | C2×M16 | — | 4 | 1 | no | — |
| 883 | C2×M16 | — | 4 | 1 | no | — |
| 884 | C2×M16 | — | 4 | 2 | no | — |
| 885 | C2×M16 | — | 8 | 1 | no | — |
| 886 | C2×M16 | — | 8 | 1 | no | — |
| 887 | C2×M16 | — | 8 | 1 | no | — |
| 888 | C2×M16 | — | 8 | 1 | no | — |
| 889 | C2×M16 | — | 8 | 1 | no | — |
| 890 | C2×M16 | — | 8 | 1 | no | — |
| 891 | C2×M16 | — | 8 | 1 | no | — |
| 892 | C2×M16 | — | 8 | 1 | no | — |
| 893 | C2×M16 | — | 32 | 2 | no | — |
| 894 | C2×M16 | C4×SD16 | 1 | 1 | yes | characteristic |
| 895 | C2×M16 | C4×SD16 | 1 | 1 | yes | characteristic |
| 896 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 897 | C2×M16 | #442 | 1 | 1 | yes | characteristic |
| 898 | C2×M16 | #476 | 1 | 1 | yes | characteristic |
| 899 | C2×M16 | #476 | 1 | 1 | yes | characteristic |
| 900 | C22×C8 | — | 4 | 1 | no | — |
| 901 | C22×C8 | — | 8 | 1 | no | — |
| 902 | C22×C8 | — | 8 | 1 | no | — |
| 903 | C22×C8 | — | 8 | 1 | no | — |
| 904 | C22×C8 | — | 8 | 1 | no | — |
| 905 | C22×C8 | — | 8 | 1 | no | — |
| 906 | C22×C8 | — | 8 | 1 | no | — |
| 907 | C22×C8 | — | 8 | 1 | no | — |
| 908 | C22×C8 | #385 | 1 | 1 | yes | characteristic |
| 909 | C22×C8 | #385 | 1 | 1 | yes | characteristic |
| 910 | C22×C8 | #449 | 1 | 1 | yes | characteristic |
| 911 | C22×C8 | #449 | 1 | 1 | yes | characteristic |
| 912 | C22×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 913 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 914 | C4⋊Q8 | — | 4 | 1 | no | — |
| 915 | C4⋊Q8 | — | 4 | 1 | no | — |
| 916 | C4⋊Q8 | — | 8 | 1 | no | — |
| 917 | #127 | — | 4 | 1 | no | — |
| 918 | #127 | — | 4 | 1 | no | — |
| 919 | #127 | — | 8 | 1 | no | — |
| 920 | #126 | — | 8 | 1 | no | — |
| 921 | #126 | — | 8 | 1 | no | — |
| 922 | #126 | — | 8 | 1 | no | — |
| 923 | #126 | — | 8 | 1 | no | — |
| 924 | #125 | — | 4 | 1 | no | — |
| 925 | #125 | — | 4 | 1 | no | — |
| 926 | #125 | — | 8 | 1 | no | — |
| 927 | #124 | — | 4 | 1 | no | — |
| 928 | #124 | — | 4 | 1 | no | — |
| 929 | #124 | — | 8 | 1 | no | — |
| 930 | #124 | — | 8 | 1 | no | — |
| 931 | #124 | — | 8 | 1 | no | — |
| 932 | #124 | — | 8 | 1 | no | — |
| 933 | #124 | — | 8 | 1 | no | — |
| 934 | #123 | — | 8 | 1 | no | — |
| 935 | #123 | — | 8 | 1 | no | — |
| 936 | #123 | — | 8 | 1 | no | — |
| 937 | #123 | — | 8 | 1 | no | — |
| 938 | #123 | — | 8 | 1 | no | — |
| 939 | #123 | — | 8 | 1 | no | — |
| 940 | #123 | — | 8 | 1 | no | — |
| 941 | #123 | — | 8 | 1 | no | — |
| 942 | C22⋊Q8 | — | 4 | 1 | no | — |
| 943 | C22⋊Q8 | — | 4 | 1 | no | — |
| 944 | C22⋊Q8 | — | 8 | 1 | no | — |
| 945 | C22⋊Q8 | — | 8 | 1 | no | — |
| 946 | C22⋊Q8 | — | 8 | 1 | no | — |
| 947 | C22⋊Q8 | — | 8 | 1 | no | — |
| 948 | C22⋊Q8 | — | 8 | 1 | no | — |
| 949 | #121 | — | 4 | 1 | no | — |
| 950 | #121 | — | 4 | 1 | no | — |
| 951 | #121 | — | 4 | 1 | no | — |
| 952 | #121 | — | 4 | 1 | no | — |
| 953 | #121 | — | 4 | 1 | no | — |
| 954 | #121 | — | 4 | 1 | no | — |
| 955 | #121 | — | 8 | 1 | no | — |
| 956 | #121 | — | 8 | 1 | no | — |
| 957 | #121 | — | 8 | 1 | no | — |
| 958 | #121 | — | 8 | 1 | no | — |
| 959 | #121 | — | 8 | 1 | no | — |
| 960 | #121 | — | 8 | 1 | no | — |
| 961 | #121 | — | 8 | 1 | no | — |
| 962 | #121 | — | 8 | 1 | no | — |
| 963 | #121 | — | 8 | 1 | no | — |
| 964 | #121 | — | 8 | 1 | no | — |
| 965 | #121 | — | 8 | 1 | no | — |
| 966 | #120 | — | 8 | 1 | no | — |
| 967 | #120 | — | 8 | 1 | no | — |
| 968 | #120 | — | 8 | 1 | no | — |
| 969 | #120 | — | 8 | 1 | no | — |
| 970 | C4×Q8 | — | 2 | 1 | no | — |
| 971 | C4×Q8 | — | 4 | 1 | no | — |
| 972 | C4×Q8 | — | 4 | 1 | no | — |
| 973 | C4×D4 | — | 2 | 1 | no | — |
| 974 | C4×D4 | — | 2 | 1 | no | — |
| 975 | C4×D4 | — | 2 | 1 | no | — |
| 976 | C4×D4 | — | 4 | 1 | no | — |
| 977 | C4×D4 | — | 4 | 1 | no | — |
| 978 | C4×D4 | — | 4 | 1 | no | — |
| 979 | C4×D4 | — | 4 | 1 | no | — |
| 980 | C4×D4 | — | 4 | 1 | no | — |
| 981 | C4×D4 | — | 4 | 1 | no | — |
| 982 | C4×D4 | — | 8 | 1 | no | — |
| 983 | C4×D4 | — | 8 | 1 | no | — |
| 984 | C4×D4 | — | 8 | 1 | no | — |
| 985 | C4×D4 | — | 8 | 1 | no | — |
| 986 | C4×D4 | — | 8 | 1 | no | — |
| 987 | C4×D4 | — | 8 | 1 | no | — |
| 988 | C4×D4 | — | 8 | 1 | no | — |
| 989 | C4×D4 | — | 8 | 1 | no | — |
| 990 | #117 | — | 4 | 1 | no | — |
| 991 | #117 | — | 4 | 2 | no | — |
| 992 | #117 | — | 8 | 1 | no | — |
| 993 | #117 | — | 8 | 1 | no | — |
| 994 | #117 | — | 8 | 1 | no | — |
| 995 | #117 | #442 | 1 | 1 | yes | characteristic |
| 996 | #117 | #478 | 1 | 1 | yes | characteristic |
| 997 | #117 | #478 | 1 | 1 | yes | characteristic |
| 998 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 999 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 1000 | C2×C42 | — | 8 | 1 | no | — |
| 1001 | C2×C42 | #450 | 1 | 1 | yes | characteristic |
| 1002 | C2×C42 | #450 | 1 | 1 | yes | characteristic |
| 1003 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1004 | Q32 | — | 4 | 1 | no | — |
| 1005 | SD32 | — | 4 | 2 | no | — |
| 1006 | SD32 | — | 4 | 1 | no | — |
| 1007 | SD32 | — | 4 | 1 | no | — |
| 1008 | SD32 | — | 8 | 1 | no | — |
| 1009 | D16 | — | 4 | 1 | no | — |
| 1010 | D16 | — | 4 | 1 | no | — |
| 1011 | D16 | — | 4 | 1 | no | — |
| 1012 | D16 | — | 4 | 2 | no | — |
| 1013 | D16 | — | 4 | 1 | no | — |
| 1014 | D16 | — | 4 | 1 | no | — |
| 1015 | D16 | — | 8 | 1 | no | — |
| 1016 | M32 | — | 4 | 1 | no | — |
| 1017 | M32 | — | 4 | 1 | no | — |
| 1018 | M32 | — | 4 | 1 | no | — |
| 1019 | M32 | — | 4 | 1 | no | — |
| 1020 | M32 | — | 4 | 1 | no | — |
| 1021 | M32 | — | 4 | 1 | no | — |
| 1022 | M32 | — | 4 | 2 | no | — |
| 1023 | M32 | — | 8 | 2 | no | — |
| 1024 | M32 | — | 8 | 2 | no | — |
| 1025 | M32 | — | 16 | 1 | no | — |
| 1026 | M32 | — | 16 | 1 | no | — |
| 1027 | C2×C16 | — | 2 | 1 | no | — |
| 1028 | C2×C16 | — | 2 | 1 | no | — |
| 1029 | C2×C16 | — | 2 | 1 | no | — |
| 1030 | C2×C16 | — | 2 | 1 | no | — |
| 1031 | C2×C16 | — | 2 | 1 | no | — |
| 1032 | C2×C16 | — | 2 | 1 | no | — |
| 1033 | C2×C16 | — | 4 | 1 | no | — |
| 1034 | C2×C16 | — | 4 | 1 | no | — |
| 1035 | C2×C16 | — | 4 | 1 | no | — |
| 1036 | C2×C16 | — | 4 | 2 | no | — |
| 1037 | C2×C16 | — | 4 | 1 | no | — |
| 1038 | C2×C16 | — | 4 | 1 | no | — |
| 1039 | C2×C16 | — | 8 | 2 | no | — |
| 1040 | C2×C16 | — | 16 | 1 | no | — |
| 1041 | C2×C16 | — | 16 | 1 | no | — |
| 1042 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 1043 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 1044 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 1045 | C2×C16 | #385 | 1 | 1 | yes | characteristic |
| 1046 | C2×C16 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 1047 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1048 | C2×C16 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 1049 | C2×C16 | C2×#123 | 1 | 1 | yes | characteristic |
| 1050 | #108 | — | 4 | 2 | no | — |
| 1051 | #108 | — | 4 | 2 | no | — |
| 1052 | #107 | — | 2 | 1 | no | — |
| 1053 | #107 | — | 2 | 1 | no | — |
| 1054 | #107 | — | 2 | 1 | no | — |
| 1055 | #107 | — | 2 | 1 | no | — |
| 1056 | #107 | — | 4 | 1 | no | — |
| 1057 | #107 | — | 4 | 1 | no | — |
| 1058 | #107 | — | 4 | 1 | no | — |
| 1059 | #107 | — | 4 | 2 | no | — |
| 1060 | #106 | — | 4 | 1 | no | — |
| 1061 | #106 | — | 4 | 1 | no | — |
| 1062 | #106 | — | 4 | 1 | no | — |
| 1063 | #106 | — | 4 | 2 | no | — |
| 1064 | C4⋊C8 | — | 4 | 1 | no | — |
| 1065 | C4⋊C8 | — | 4 | 1 | no | — |
| 1066 | C4⋊C8 | — | 4 | 1 | no | — |
| 1067 | C4⋊C8 | — | 4 | 1 | no | — |
| 1068 | C4⋊C8 | — | 4 | 1 | no | — |
| 1069 | C4⋊C8 | — | 4 | 1 | no | — |
| 1070 | C4⋊C8 | — | 4 | 1 | no | — |
| 1071 | C4⋊C8 | — | 8 | 1 | no | — |
| 1072 | C4⋊C8 | — | 8 | 1 | no | — |
| 1073 | C4⋊C8 | — | 8 | 1 | no | — |
| 1074 | C4⋊C8 | — | 8 | 1 | no | — |
| 1075 | C4⋊C8 | — | 8 | 1 | no | — |
| 1076 | C4⋊C8 | — | 8 | 1 | no | — |
| 1077 | C4⋊C8 | — | 8 | 1 | no | — |
| 1078 | #103 | — | 4 | 1 | no | — |
| 1079 | #103 | — | 4 | 1 | no | — |
| 1080 | #103 | — | 4 | 1 | no | — |
| 1081 | #103 | — | 4 | 1 | no | — |
| 1082 | #102 | — | 4 | 1 | no | — |
| 1083 | #102 | — | 4 | 1 | no | — |
| 1084 | #102 | — | 4 | 1 | no | — |
| 1085 | #102 | — | 4 | 1 | no | — |
| 1086 | #102 | — | 4 | 1 | no | — |
| 1087 | #102 | — | 4 | 1 | no | — |
| 1088 | #102 | — | 4 | 1 | no | — |
| 1089 | #102 | — | 4 | 1 | no | — |
| 1090 | #102 | — | 4 | 1 | no | — |
| 1091 | #102 | — | 4 | 1 | no | — |
| 1092 | #102 | — | 4 | 1 | no | — |
| 1093 | #102 | — | 4 | 1 | no | — |
| 1094 | #101 | — | 8 | 1 | no | — |
| 1095 | #100 | — | 8 | 1 | no | — |
| 1096 | #99 | — | 8 | 1 | no | — |
| 1097 | #99 | — | 8 | 1 | no | — |
| 1098 | C22⋊C8 | — | 4 | 1 | no | — |
| 1099 | C22⋊C8 | — | 4 | 1 | no | — |
| 1100 | C22⋊C8 | — | 4 | 1 | no | — |
| 1101 | C22⋊C8 | — | 8 | 1 | no | — |
| 1102 | C22⋊C8 | — | 8 | 1 | no | — |
| 1103 | C22⋊C8 | — | 8 | 1 | no | — |
| 1104 | C22⋊C8 | — | 8 | 1 | no | — |
| 1105 | C22⋊C8 | — | 8 | 1 | no | — |
| 1106 | C22⋊C8 | — | 8 | 1 | no | — |
| 1107 | C22⋊C8 | — | 8 | 1 | no | — |
| 1108 | C22⋊C8 | — | 8 | 1 | no | — |
| 1109 | C22⋊C8 | — | 8 | 1 | no | — |
| 1110 | C22⋊C8 | — | 8 | 1 | no | — |
| 1111 | C22⋊C8 | — | 8 | 1 | no | — |
| 1112 | C22⋊C8 | — | 8 | 1 | no | — |
| 1113 | C22⋊C8 | — | 8 | 1 | no | — |
| 1114 | C22⋊C8 | — | 8 | 1 | no | — |
| 1115 | C22⋊C8 | — | 8 | 1 | no | — |
| 1116 | #97 | — | 4 | 1 | no | — |
| 1117 | #97 | — | 4 | 1 | no | — |
| 1118 | #97 | — | 8 | 1 | no | — |
| 1119 | #97 | — | 8 | 1 | no | — |
| 1120 | #97 | — | 8 | 2 | no | — |
| 1121 | #97 | — | 8 | 1 | no | — |
| 1122 | #97 | — | 8 | 1 | no | — |
| 1123 | #97 | C4×SD16 | 1 | 1 | yes | characteristic |
| 1124 | #97 | C4×SD16 | 1 | 1 | yes | characteristic |
| 1125 | #97 | #476 | 1 | 1 | yes | characteristic |
| 1126 | #97 | #476 | 1 | 1 | yes | characteristic |
| 1127 | #97 | #478 | 1 | 1 | yes | characteristic |
| 1128 | #97 | #478 | 1 | 1 | yes | characteristic |
| 1129 | C4×C8 | — | 2 | 1 | no | — |
| 1130 | C4×C8 | — | 2 | 1 | no | — |
| 1131 | C4×C8 | — | 2 | 1 | no | — |
| 1132 | C4×C8 | — | 2 | 1 | no | — |
| 1133 | C4×C8 | — | 4 | 1 | no | — |
| 1134 | C4×C8 | — | 8 | 1 | no | — |
| 1135 | C4×C8 | — | 8 | 2 | no | — |
| 1136 | C4×C8 | — | 8 | 1 | no | — |
| 1137 | C4×C8 | — | 8 | 1 | no | — |
| 1138 | C4×C8 | #385 | 1 | 1 | yes | characteristic |
| 1139 | C4×C8 | #385 | 1 | 1 | yes | characteristic |
| 1140 | C4×C8 | #449 | 1 | 1 | yes | characteristic |
| 1141 | C4×C8 | #449 | 1 | 1 | yes | characteristic |
| 1142 | C4×C8 | #450 | 1 | 1 | yes | characteristic |
| 1143 | C4×C8 | #450 | 1 | 1 | yes | characteristic |
| 1144 | C4×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 1145 | C4×C8 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 1146 | C4×C8 | C22×SD16 | 1 | 1 | yes | characteristic |
| 1147 | C4×C8 | C2×#135 | 1 | 1 | yes | characteristic |
| 1148 | C32 | — | 4 | 2 | no | — |
| 1149 | C32 | — | 4 | 2 | no | — |
| 1150 | C32 | — | 8 | 2 | no | — |
| 1151 | C24 | — | 8 | 1 | no | — |
| 1152 | #41 | — | 4 | 1 | no | — |
| 1153 | #41 | — | 4 | 1 | no | — |
| 1154 | #41 | — | 16 | 1 | no | — |
| 1155 | #41 | — | 16 | 1 | no | — |
| 1156 | #41 | — | 32 | 1 | no | — |
| 1157 | #41 | — | 32 | 1 | no | — |
| 1158 | #41 | — | 32 | 1 | no | — |
| 1159 | #41 | — | 32 | 1 | no | — |
| 1160 | C2×Q8 | — | 4 | 1 | no | — |
| 1161 | C2×Q8 | — | 8 | 1 | no | — |
| 1162 | C2×Q8 | — | 8 | 1 | no | — |
| 1163 | C2×Q8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1164 | C2×D4 | — | 4 | 1 | no | — |
| 1165 | C2×D4 | — | 4 | 1 | no | — |
| 1166 | C2×D4 | — | 4 | 1 | no | — |
| 1167 | C2×D4 | — | 8 | 1 | no | — |
| 1168 | C2×D4 | — | 8 | 1 | no | — |
| 1169 | C2×D4 | — | 8 | 1 | no | — |
| 1170 | C2×D4 | — | 8 | 1 | no | — |
| 1171 | C2×D4 | — | 8 | 1 | no | — |
| 1172 | C2×D4 | — | 8 | 1 | no | — |
| 1173 | C2×D4 | — | 8 | 1 | no | — |
| 1174 | C2×D4 | — | 8 | 1 | no | — |
| 1175 | C2×D4 | — | 8 | 1 | no | — |
| 1176 | C2×D4 | — | 8 | 1 | no | — |
| 1177 | C2×D4 | — | 8 | 1 | no | — |
| 1178 | C2×D4 | — | 8 | 1 | no | — |
| 1179 | C2×D4 | — | 16 | 1 | no | — |
| 1180 | C2×D4 | — | 16 | 1 | no | — |
| 1181 | C2×D4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1182 | C2×D4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1183 | C2×D4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1184 | C22×C4 | — | 2 | 1 | no | — |
| 1185 | C22×C4 | — | 2 | 1 | no | — |
| 1186 | C22×C4 | — | 2 | 1 | no | — |
| 1187 | C22×C4 | — | 8 | 1 | no | — |
| 1188 | C22×C4 | — | 8 | 1 | no | — |
| 1189 | C22×C4 | — | 8 | 1 | no | — |
| 1190 | C22×C4 | — | 8 | 1 | no | — |
| 1191 | C22×C4 | — | 8 | 1 | no | — |
| 1192 | C22×C4 | — | 8 | 1 | no | — |
| 1193 | C22×C4 | — | 8 | 1 | no | — |
| 1194 | C22×C4 | — | 8 | 1 | no | — |
| 1195 | C22×C4 | — | 32 | 1 | no | — |
| 1196 | C22×C4 | — | 32 | 1 | no | — |
| 1197 | C22×C4 | #1864 | 1 | 1 | yes | characteristic |
| 1198 | C22×C4 | #1864 | 1 | 1 | yes | characteristic |
| 1199 | C22×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1200 | Q16 | — | 4 | 1 | no | — |
| 1201 | Q16 | — | 4 | 1 | no | — |
| 1202 | SD16 | — | 8 | 2 | no | — |
| 1203 | SD16 | — | 16 | 1 | no | — |
| 1204 | SD16 | — | 16 | 1 | no | — |
| 1205 | D8 | — | 4 | 1 | no | — |
| 1206 | D8 | — | 4 | 1 | no | — |
| 1207 | D8 | — | 4 | 1 | no | — |
| 1208 | D8 | — | 4 | 1 | no | — |
| 1209 | D8 | — | 4 | 1 | no | — |
| 1210 | D8 | — | 4 | 1 | no | — |
| 1211 | D8 | — | 8 | 2 | no | — |
| 1212 | D8 | — | 16 | 1 | no | — |
| 1213 | D8 | — | 16 | 1 | no | — |
| 1214 | M16 | — | 2 | 2 | no | — |
| 1215 | M16 | — | 2 | 2 | no | — |
| 1216 | M16 | — | 4 | 1 | no | — |
| 1217 | M16 | — | 4 | 1 | no | — |
| 1218 | M16 | — | 4 | 1 | no | — |
| 1219 | M16 | — | 4 | 1 | no | — |
| 1220 | M16 | — | 8 | 2 | no | — |
| 1221 | M16 | — | 8 | 2 | no | — |
| 1222 | M16 | — | 16 | 1 | no | — |
| 1223 | M16 | — | 16 | 1 | no | — |
| 1224 | M16 | — | 16 | 2 | no | — |
| 1225 | M16 | — | 32 | 1 | no | — |
| 1226 | M16 | — | 32 | 1 | no | — |
| 1227 | M16 | — | 32 | 1 | no | — |
| 1228 | M16 | — | 32 | 1 | no | — |
| 1229 | M16 | — | 32 | 1 | no | — |
| 1230 | M16 | — | 32 | 1 | no | — |
| 1231 | M16 | — | 32 | 1 | no | — |
| 1232 | C2×C8 | — | 2 | 2 | no | — |
| 1233 | C2×C8 | — | 2 | 1 | no | — |
| 1234 | C2×C8 | — | 2 | 1 | no | — |
| 1235 | C2×C8 | — | 2 | 1 | no | — |
| 1236 | C2×C8 | — | 2 | 1 | no | — |
| 1237 | C2×C8 | — | 2 | 1 | no | — |
| 1238 | C2×C8 | — | 2 | 1 | no | — |
| 1239 | C2×C8 | — | 4 | 1 | no | — |
| 1240 | C2×C8 | — | 4 | 1 | no | — |
| 1241 | C2×C8 | — | 4 | 1 | no | — |
| 1242 | C2×C8 | — | 4 | 1 | no | — |
| 1243 | C2×C8 | — | 4 | 1 | no | — |
| 1244 | C2×C8 | — | 4 | 1 | no | — |
| 1245 | C2×C8 | — | 8 | 1 | no | — |
| 1246 | C2×C8 | — | 8 | 1 | no | — |
| 1247 | C2×C8 | — | 8 | 1 | no | — |
| 1248 | C2×C8 | — | 8 | 2 | no | — |
| 1249 | C2×C8 | — | 8 | 1 | no | — |
| 1250 | C2×C8 | — | 16 | 1 | no | — |
| 1251 | C2×C8 | — | 16 | 2 | no | — |
| 1252 | C2×C8 | — | 16 | 2 | no | — |
| 1253 | C2×C8 | — | 32 | 1 | no | — |
| 1254 | C2×C8 | — | 32 | 1 | no | — |
| 1255 | C2×C8 | — | 32 | 1 | no | — |
| 1256 | C2×C8 | — | 32 | 1 | no | — |
| 1257 | C2×C8 | — | 32 | 1 | no | — |
| 1258 | C2×C8 | #1864 | 1 | 1 | yes | characteristic |
| 1259 | C2×C8 | #1864 | 1 | 1 | yes | characteristic |
| 1260 | C2×C8 | #1864 | 1 | 1 | yes | characteristic |
| 1261 | C2×C8 | #1864 | 1 | 1 | yes | characteristic |
| 1262 | C2×C8 | C2×#385 | 1 | 1 | yes | characteristic |
| 1263 | C2×C8 | C2×C4×SD16 | 1 | 1 | yes | characteristic |
| 1264 | C2×C8 | C2×#449 | 1 | 1 | yes | characteristic |
| 1265 | C2×C8 | C2×#476 | 1 | 1 | yes | characteristic |
| 1266 | C4⋊C4 | — | 2 | 1 | no | — |
| 1267 | C4⋊C4 | — | 2 | 1 | no | — |
| 1268 | C4⋊C4 | — | 2 | 1 | no | — |
| 1269 | C4⋊C4 | — | 4 | 1 | no | — |
| 1270 | C4⋊C4 | — | 4 | 1 | no | — |
| 1271 | C4⋊C4 | — | 4 | 1 | no | — |
| 1272 | C4⋊C4 | — | 4 | 1 | no | — |
| 1273 | C4⋊C4 | — | 8 | 1 | no | — |
| 1274 | C4⋊C4 | — | 8 | 1 | no | — |
| 1275 | C4⋊C4 | — | 8 | 1 | no | — |
| 1276 | C4⋊C4 | — | 8 | 1 | no | — |
| 1277 | C4⋊C4 | — | 8 | 1 | no | — |
| 1278 | C4⋊C4 | — | 8 | 1 | no | — |
| 1279 | C4⋊C4 | — | 8 | 1 | no | — |
| 1280 | C4⋊C4 | — | 8 | 1 | no | — |
| 1281 | C4⋊C4 | — | 8 | 2 | no | — |
| 1282 | C4⋊C4 | — | 8 | 1 | no | — |
| 1283 | C4⋊C4 | — | 8 | 1 | no | — |
| 1284 | C4⋊C4 | — | 8 | 1 | no | — |
| 1285 | C22⋊C4 | — | 2 | 1 | no | — |
| 1286 | C22⋊C4 | — | 2 | 1 | no | — |
| 1287 | C22⋊C4 | — | 2 | 1 | no | — |
| 1288 | C22⋊C4 | — | 8 | 1 | no | — |
| 1289 | C22⋊C4 | — | 8 | 1 | no | — |
| 1290 | C22⋊C4 | — | 8 | 1 | no | — |
| 1291 | C22⋊C4 | — | 8 | 1 | no | — |
| 1292 | C22⋊C4 | — | 8 | 1 | no | — |
| 1293 | C22⋊C4 | — | 8 | 1 | no | — |
| 1294 | C22⋊C4 | — | 8 | 1 | no | — |
| 1295 | C22⋊C4 | — | 8 | 1 | no | — |
| 1296 | C22⋊C4 | — | 8 | 1 | no | — |
| 1297 | C22⋊C4 | — | 8 | 1 | no | — |
| 1298 | C22⋊C4 | — | 8 | 1 | no | — |
| 1299 | C22⋊C4 | — | 8 | 1 | no | — |
| 1300 | C22⋊C4 | — | 8 | 1 | no | — |
| 1301 | C22⋊C4 | — | 8 | 1 | no | — |
| 1302 | C22⋊C4 | — | 8 | 1 | no | — |
| 1303 | C22⋊C4 | — | 8 | 1 | no | — |
| 1304 | C22⋊C4 | — | 8 | 1 | no | — |
| 1305 | C22⋊C4 | — | 8 | 1 | no | — |
| 1306 | C22⋊C4 | — | 8 | 1 | no | — |
| 1307 | C22⋊C4 | — | 8 | 2 | no | — |
| 1308 | C42 | — | 2 | 1 | no | — |
| 1309 | C42 | — | 2 | 1 | no | — |
| 1310 | C42 | — | 2 | 1 | no | — |
| 1311 | C42 | — | 8 | 1 | no | — |
| 1312 | C42 | — | 8 | 1 | no | — |
| 1313 | C42 | — | 8 | 2 | no | — |
| 1314 | C42 | — | 8 | 1 | no | — |
| 1315 | C42 | #1864 | 1 | 1 | yes | characteristic |
| 1316 | C42 | #1864 | 1 | 1 | yes | characteristic |
| 1317 | C42 | C2×#450 | 1 | 1 | yes | characteristic |
| 1318 | C42 | C2×#478 | 1 | 1 | yes | characteristic |
| 1319 | C16 | — | 2 | 1 | no | — |
| 1320 | C16 | — | 2 | 1 | no | — |
| 1321 | C16 | — | 2 | 1 | no | — |
| 1322 | C16 | — | 2 | 1 | no | — |
| 1323 | C16 | — | 2 | 1 | no | — |
| 1324 | C16 | — | 2 | 1 | no | — |
| 1325 | C16 | — | 2 | 1 | no | — |
| 1326 | C16 | — | 8 | 1 | no | — |
| 1327 | C16 | — | 8 | 1 | no | — |
| 1328 | C16 | — | 16 | 2 | no | — |
| 1329 | C16 | #1868 | 1 | 1 | yes | characteristic |
| 1330 | C16 | #1868 | 1 | 1 | yes | characteristic |
| 1331 | C23 | — | 8 | 1 | no | — |
| 1332 | C23 | — | 8 | 1 | no | — |
| 1333 | C23 | — | 8 | 1 | no | — |
| 1334 | C23 | — | 32 | 1 | no | — |
| 1335 | C23 | — | 32 | 1 | no | — |
| 1336 | C23 | — | 32 | 1 | no | — |
| 1337 | C23 | #12956 | 1 | 1 | yes | characteristic |
| 1338 | C23 | #12956 | 1 | 1 | yes | characteristic |
| 1339 | C23 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1340 | Q8 | — | 4 | 1 | no | — |
| 1341 | Q8 | — | 8 | 1 | no | — |
| 1342 | Q8 | — | 8 | 1 | no | — |
| 1343 | Q8 | — | 32 | 1 | no | — |
| 1344 | Q8 | — | 32 | 1 | no | — |
| 1345 | D4 | — | 4 | 1 | no | — |
| 1346 | D4 | — | 4 | 1 | no | — |
| 1347 | D4 | — | 4 | 1 | no | — |
| 1348 | D4 | — | 8 | 1 | no | — |
| 1349 | D4 | — | 8 | 1 | no | — |
| 1350 | D4 | — | 8 | 1 | no | — |
| 1351 | D4 | — | 8 | 1 | no | — |
| 1352 | D4 | — | 8 | 1 | no | — |
| 1353 | D4 | — | 8 | 1 | no | — |
| 1354 | D4 | — | 32 | 1 | no | — |
| 1355 | D4 | — | 32 | 1 | no | — |
| 1356 | D4 | — | 32 | 1 | no | — |
| 1357 | D4 | — | 32 | 1 | no | — |
| 1358 | D4 | — | 32 | 1 | no | — |
| 1359 | D4 | — | 32 | 1 | no | — |
| 1360 | D4 | — | 32 | 1 | no | — |
| 1361 | D4 | — | 32 | 1 | no | — |
| 1362 | D4 | — | 32 | 1 | no | — |
| 1363 | D4 | — | 32 | 1 | no | — |
| 1364 | D4 | — | 32 | 1 | no | — |
| 1365 | D4 | — | 32 | 1 | no | — |
| 1366 | C2×C4 | — | 2 | 1 | no | — |
| 1367 | C2×C4 | — | 2 | 1 | no | — |
| 1368 | C2×C4 | — | 2 | 1 | no | — |
| 1369 | C2×C4 | — | 2 | 1 | no | — |
| 1370 | C2×C4 | — | 2 | 1 | no | — |
| 1371 | C2×C4 | — | 2 | 1 | no | — |
| 1372 | C2×C4 | — | 2 | 1 | no | — |
| 1373 | C2×C4 | — | 2 | 1 | no | — |
| 1374 | C2×C4 | — | 2 | 1 | no | — |
| 1375 | C2×C4 | — | 2 | 1 | no | — |
| 1376 | C2×C4 | — | 8 | 1 | no | — |
| 1377 | C2×C4 | — | 8 | 1 | no | — |
| 1378 | C2×C4 | — | 8 | 1 | no | — |
| 1379 | C2×C4 | — | 8 | 1 | no | — |
| 1380 | C2×C4 | — | 8 | 1 | no | — |
| 1381 | C2×C4 | — | 8 | 1 | no | — |
| 1382 | C2×C4 | — | 8 | 1 | no | — |
| 1383 | C2×C4 | — | 8 | 1 | no | — |
| 1384 | C2×C4 | — | 16 | 1 | no | — |
| 1385 | C2×C4 | — | 16 | 1 | no | — |
| 1386 | C2×C4 | — | 16 | 1 | no | — |
| 1387 | C2×C4 | — | 16 | 1 | no | — |
| 1388 | C2×C4 | — | 16 | 1 | no | — |
| 1389 | C2×C4 | — | 16 | 1 | no | — |
| 1390 | C2×C4 | — | 16 | 2 | no | — |
| 1391 | C2×C4 | — | 32 | 1 | no | — |
| 1392 | C2×C4 | — | 32 | 1 | no | — |
| 1393 | C2×C4 | — | 32 | 1 | no | — |
| 1394 | C2×C4 | — | 32 | 1 | no | — |
| 1395 | C2×C4 | — | 32 | 1 | no | — |
| 1396 | C2×C4 | #12956 | 1 | 1 | yes | characteristic |
| 1397 | C2×C4 | #12956 | 1 | 1 | yes | characteristic |
| 1398 | C2×C4 | C2×#1864 | 1 | 1 | yes | characteristic |
| 1399 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1400 | C8 | — | 2 | 1 | no | — |
| 1401 | C8 | — | 2 | 1 | no | — |
| 1402 | C8 | — | 2 | 1 | no | — |
| 1403 | C8 | — | 2 | 1 | no | — |
| 1404 | C8 | — | 2 | 1 | no | — |
| 1405 | C8 | — | 2 | 1 | no | — |
| 1406 | C8 | — | 8 | 1 | no | — |
| 1407 | C8 | — | 8 | 1 | no | — |
| 1408 | C8 | — | 8 | 1 | no | — |
| 1409 | C8 | — | 8 | 1 | no | — |
| 1410 | C8 | — | 16 | 2 | no | — |
| 1411 | C8 | — | 16 | 1 | no | — |
| 1412 | C8 | — | 16 | 1 | no | — |
| 1413 | C8 | — | 16 | 1 | no | — |
| 1414 | C8 | — | 16 | 1 | no | — |
| 1415 | C8 | #20867 | 1 | 1 | yes | characteristic |
| 1416 | C8 | C2×#1868 | 1 | 1 | yes | characteristic |
| 1417 | C8 | #33638 | 1 | 2 | yes | — |
| 1418 | C22 | — | 2 | 1 | no | — |
| 1419 | C22 | — | 2 | 1 | no | — |
| 1420 | C22 | — | 2 | 1 | no | — |
| 1421 | C22 | — | 4 | 1 | no | — |
| 1422 | C22 | — | 4 | 1 | no | — |
| 1423 | C22 | — | 4 | 1 | no | — |
| 1424 | C22 | — | 16 | 1 | no | — |
| 1425 | C22 | — | 16 | 1 | no | — |
| 1426 | C22 | — | 16 | 1 | no | — |
| 1427 | C22 | — | 16 | 1 | no | — |
| 1428 | C22 | — | 16 | 1 | no | — |
| 1429 | C22 | — | 16 | 1 | no | — |
| 1430 | C22 | — | 16 | 1 | no | — |
| 1431 | C22 | — | 16 | 1 | no | — |
| 1432 | C22 | — | 16 | 1 | no | — |
| 1433 | C22 | — | 64 | 2 | no | — |
| 1434 | C22 | C2×#12956 | 1 | 1 | yes | characteristic |
| 1435 | C4 | — | 2 | 1 | no | — |
| 1436 | C4 | — | 2 | 1 | no | — |
| 1437 | C4 | — | 2 | 1 | no | — |
| 1438 | C4 | — | 4 | 1 | no | — |
| 1439 | C4 | — | 4 | 1 | no | — |
| 1440 | C4 | — | 4 | 1 | no | — |
| 1441 | C4 | — | 4 | 1 | no | — |
| 1442 | C4 | — | 16 | 1 | no | — |
| 1443 | C4 | — | 16 | 1 | no | — |
| 1444 | C4 | — | 16 | 1 | no | — |
| 1445 | C4 | — | 16 | 1 | no | — |
| 1446 | C4 | — | 16 | 1 | no | — |
| 1447 | C4 | — | 32 | 2 | no | — |
| 1448 | C4 | #192557 | 1 | 1 | yes | characteristic |
| 1449 | C4 | #494324 | 1 | 1 | yes | characteristic |
| 1450 | C2 | — | 2 | 1 | no | — |
| 1451 | C2 | — | 4 | 1 | no | — |
| 1452 | C2 | — | 4 | 1 | no | — |
| 1453 | C2 | — | 4 | 1 | no | — |
| 1454 | C2 | — | 32 | 1 | no | — |
| 1455 | C2 | — | 32 | 1 | no | — |
| 1456 | C2 | — | 32 | 1 | no | — |
| 1457 | C2 | #72285353 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72285353 |
| commutator | C2×M32 | C23×C4 |
| Frattini, cosocle | C4×M32 | C24 |
| prime radical | #7623252 | C22 |
| LCS | G ▷ C2×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C4×#131 ◁ #479960 ◁ G | |
| LECS | G ▷ C4×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72286160 | C2 | semidirect |
| 2. #72286149 | C2 | semidirect |
| 4. #72286118 | C2 | semidirect |
| 5. #72286111 | C2 | semidirect |
| 6. #72286095 | C2 | semidirect |
| 8. #72286048 | C2 | semidirect |
| 10. #72224979 | C2 | semidirect |
| 11. #72224951 | C2 | semidirect |
| 37. #151060 | C22 | semidirect |
| 39. #151059 | C22 | semidirect |
| 56. #140362 | C22 | semidirect |
| 57. #140361 | C22 | semidirect |
| 61. #94418 | C22 | semidirect |
| 62. #94417 | C22 | semidirect |
| 63. #94121 | C22 | semidirect |
| 64. #94120 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72286160 | 2 |
| #72286149 | 2 |
| #72286130 | 2 |
| #72286118 | 2 |
| #72286111 | 2 |
| #72286095 | 2 |
| #72286070 | 2 |
| #72286048 | 2 |
| #72225043 | 2 |
| #72224979 | 2 |
| #72224951 | 2 |