← #15633779
Subgroups — #15633779
Order 2816.
1738 conjugacy classes of subgroups.
The subgroup lattice has 766 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13082478 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13082426 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13081462 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13081434 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13081423 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13081316 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13081296 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #13081289 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13078984 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13078938 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #13078471 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #13078423 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13078148 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #13077546 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #13077460 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C2×C4×#4326 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C11×#3037 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | C2×C11×#137 | C22 | 1 | 2 | yes | — |
| 19 | C11×#532 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C4×Q8×C11 | C22 | 1 | 1 | yes | characteristic |
| 21 | #10623358 | C22 | 1 | 2 | yes | — |
| 22 | #10623356 | C22 | 1 | 2 | yes | — |
| 23 | #10623343 | C22 | 1 | 2 | yes | — |
| 24 | C22×#4326 | C22 | 1 | 1 | yes | characteristic |
| 25 | #10623252 | C22 | 1 | 2 | yes | — |
| 26 | #10623244 | C22 | 1 | 2 | yes | — |
| 27 | #10623202 | C22 | 1 | 4 | yes | — |
| 28 | #10623133 | — | 2 | 2 | no | — |
| 29 | #10623131 | — | 2 | 2 | no | — |
| 30 | #10623101 | — | 2 | 1 | no | — |
| 31 | #10623101 | C22 | 1 | 2 | yes | — |
| 32 | #10623100 | — | 2 | 2 | no | — |
| 33 | #10623100 | C22 | 1 | 4 | yes | — |
| 34 | Q8×Dic22 | — | 2 | 1 | no | — |
| 35 | Q8×Dic22 | C22 | 1 | 2 | yes | — |
| 36 | #10623074 | — | 2 | 1 | no | — |
| 37 | #10623073 | — | 2 | 1 | no | — |
| 38 | #10623072 | — | 2 | 2 | no | — |
| 39 | #10623031 | — | 2 | 2 | no | — |
| 40 | #10623031 | C22 | 1 | 2 | yes | — |
| 41 | #10623001 | — | 2 | 2 | no | — |
| 42 | #10623001 | C22 | 1 | 1 | yes | characteristic |
| 43 | #10623001 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×C4×Dic22 | C22 | 1 | 1 | yes | characteristic |
| 45 | C11×#464 | C22 | 1 | 4 | yes | — |
| 46 | C11×#462 | C22 | 1 | 2 | yes | — |
| 47 | C11×#460 | C22 | 1 | 2 | yes | — |
| 48 | C11×#423 | C22 | 1 | 1 | yes | characteristic |
| 49 | C11×#417 | C22 | 1 | 2 | yes | — |
| 50 | #10622846 | C22 | 1 | 2 | yes | — |
| 51 | #10622846 | C22 | 1 | 2 | yes | — |
| 52 | C2×#66899 | C22 | 1 | 1 | yes | characteristic |
| 53 | #10622797 | C22 | 1 | 4 | yes | — |
| 54 | Q16×Dic11 | C22 | 1 | 4 | yes | — |
| 55 | #10622795 | C22 | 1 | 4 | yes | — |
| 56 | #10622795 | C22 | 1 | 4 | yes | — |
| 57 | #10622779 | C22 | 1 | 4 | yes | — |
| 58 | #10622779 | C22 | 1 | 4 | yes | — |
| 59 | #10622777 | C22 | 1 | 4 | yes | — |
| 60 | SD16×Dic11 | C22 | 1 | 4 | yes | — |
| 61 | #10622735 | C22 | 1 | 2 | yes | — |
| 62 | #10622734 | C22 | 1 | 2 | yes | — |
| 63 | #10622733 | C22 | 1 | 2 | yes | — |
| 64 | #10622732 | C22 | 1 | 2 | yes | — |
| 65 | #10622694 | C22 | 1 | 1 | yes | characteristic |
| 66 | #10622694 | C22 | 1 | 1 | yes | characteristic |
| 67 | #10622683 | C22 | 1 | 1 | yes | characteristic |
| 68 | #10622683 | C22 | 1 | 1 | yes | characteristic |
| 69 | #10622669 | C22 | 1 | 2 | yes | — |
| 70 | #10622669 | C22 | 1 | 2 | yes | — |
| 71 | C4×#4326 | C22 | 1 | 2 | yes | — |
| 72 | C4×#4326 | C22 | 1 | 2 | yes | — |
| 73 | C4×#4326 | C22 | 1 | 2 | yes | — |
| 74 | C4×#4326 | C22 | 1 | 2 | yes | — |
| 75 | C2×#66874 | C22 | 1 | 1 | yes | characteristic |
| 76 | C2×#66871 | C22 | 1 | 1 | yes | characteristic |
| 77 | C2×C4×C11⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 78 | #10622464 | C22 | 1 | 2 | yes | — |
| 79 | #10622463 | C22 | 1 | 2 | yes | — |
| 80 | #10622444 | C22 | 1 | 2 | yes | — |
| 81 | #10622444 | C22 | 1 | 2 | yes | — |
| 82 | #10622443 | C22 | 1 | 2 | yes | — |
| 83 | #10622443 | C22 | 1 | 2 | yes | — |
| 84 | #10622442 | C22 | 1 | 4 | yes | — |
| 85 | #10622412 | C22 | 1 | 4 | yes | — |
| 86 | #10622410 | C22 | 1 | 4 | yes | — |
| 87 | #10622407 | C22 | 1 | 4 | yes | — |
| 88 | #10622405 | C22 | 1 | 4 | yes | — |
| 89 | #10622381 | C22 | 1 | 4 | yes | — |
| 90 | #10622378 | C22 | 1 | 4 | yes | — |
| 91 | #10622376 | C22 | 1 | 4 | yes | — |
| 92 | #10622372 | C22 | 1 | 4 | yes | — |
| 93 | C2×C11×#41 | C23 | 1 | 2 | yes | — |
| 94 | C22×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22×Dic22 | C23 | 1 | 1 | yes | characteristic |
| 96 | C11×#137 | — | 2 | 8 | no | — |
| 97 | C2×C11×Q16 | C23 | 1 | 4 | yes | — |
| 98 | C2×C11×SD16 | C23 | 1 | 4 | yes | — |
| 99 | C2×C11×M16 | C23 | 1 | 2 | yes | — |
| 100 | C11×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C11×#127 | C23 | 1 | 1 | yes | characteristic |
| 102 | C11×#124 | C23 | 1 | 2 | yes | — |
| 103 | C11×#121 | — | 2 | 1 | no | — |
| 104 | C11×#121 | — | 2 | 1 | no | — |
| 105 | C4×Q8×C11 | — | 2 | 1 | no | — |
| 106 | C4×Q8×C11 | — | 2 | 1 | no | — |
| 107 | C4×Q8×C11 | C23 | 1 | 2 | yes | — |
| 108 | C4×Q8×C11 | C23 | 1 | 2 | yes | — |
| 109 | C4×D4×C11 | — | 2 | 1 | no | — |
| 110 | C4×D4×C11 | — | 2 | 1 | no | — |
| 111 | C2×C11×C4⋊C4 | — | 2 | 1 | no | — |
| 112 | C2×C11×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×C42×C11 | — | 2 | 1 | no | — |
| 114 | C2×C42×C11 | C23 | 1 | 1 | yes | characteristic |
| 115 | Q8×Dic11 | — | 2 | 2 | no | — |
| 116 | Q8×Dic11 | — | 2 | 2 | no | — |
| 117 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 118 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 119 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 120 | #66997 | C23 | 1 | 4 | yes | — |
| 121 | C2×#4326 | — | 2 | 4 | no | — |
| 122 | C2×#4326 | C23 | 1 | 2 | yes | — |
| 123 | C2×#4326 | C23 | 1 | 2 | yes | — |
| 124 | #66989 | — | 2 | 2 | no | — |
| 125 | #66989 | C23 | 1 | 4 | yes | — |
| 126 | #66988 | — | 2 | 4 | no | — |
| 127 | #66988 | — | 2 | 4 | no | — |
| 128 | D4×Dic11 | — | 2 | 4 | no | — |
| 129 | D4×Dic11 | — | 2 | 2 | no | — |
| 130 | D4×Dic11 | C23 | 1 | 4 | yes | — |
| 131 | #66979 | — | 2 | 4 | no | — |
| 132 | #66979 | — | 2 | 2 | no | — |
| 133 | #66979 | C23 | 1 | 2 | yes | — |
| 134 | #66979 | C23 | 1 | 2 | yes | — |
| 135 | C2×C4⋊Dic11 | — | 2 | 2 | no | — |
| 136 | C2×C4⋊Dic11 | C23 | 1 | 1 | yes | characteristic |
| 137 | #66977 | — | 2 | 1 | no | — |
| 138 | #66977 | — | 2 | 1 | no | — |
| 139 | #66977 | — | 2 | 4 | no | — |
| 140 | #66977 | — | 2 | 2 | no | — |
| 141 | #66977 | — | 2 | 2 | no | — |
| 142 | #66977 | D4 | 1 | 2 | yes | — |
| 143 | #66977 | D4 | 1 | 2 | yes | — |
| 144 | C2×Dic11⋊C4 | — | 2 | 1 | no | — |
| 145 | C2×C4×Dic11 | — | 2 | 1 | no | — |
| 146 | C22×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 147 | C22×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 148 | #66943 | — | 2 | 2 | no | — |
| 149 | #66943 | — | 2 | 4 | no | — |
| 150 | #66943 | — | 2 | 2 | no | — |
| 151 | #66943 | — | 2 | 4 | no | — |
| 152 | #66943 | C23 | 1 | 4 | yes | — |
| 153 | #66942 | — | 2 | 4 | no | — |
| 154 | #66941 | — | 2 | 4 | no | — |
| 155 | #66941 | — | 2 | 2 | no | — |
| 156 | #66941 | — | 2 | 4 | no | — |
| 157 | #66941 | C23 | 1 | 4 | yes | — |
| 158 | #66940 | — | 2 | 2 | no | — |
| 159 | #66932 | — | 2 | 4 | no | — |
| 160 | #66932 | — | 2 | 4 | no | — |
| 161 | #66931 | — | 2 | 4 | no | — |
| 162 | #66930 | — | 2 | 4 | no | — |
| 163 | #66923 | — | 2 | 4 | no | — |
| 164 | #66923 | D4 | 1 | 2 | yes | — |
| 165 | #66923 | C23 | 1 | 2 | yes | — |
| 166 | #66922 | — | 2 | 2 | no | — |
| 167 | #66922 | — | 2 | 2 | no | — |
| 168 | #66922 | D4 | 1 | 1 | yes | characteristic |
| 169 | #66922 | D4 | 1 | 1 | yes | characteristic |
| 170 | #66922 | C23 | 1 | 1 | yes | characteristic |
| 171 | #66922 | C23 | 1 | 1 | yes | characteristic |
| 172 | C4×Dic22 | — | 2 | 2 | no | — |
| 173 | C4×Dic22 | — | 2 | 1 | no | — |
| 174 | C4×Dic22 | — | 2 | 1 | no | — |
| 175 | C4×Dic22 | — | 2 | 1 | no | — |
| 176 | C4×Dic22 | — | 2 | 1 | no | — |
| 177 | C4×Dic22 | — | 2 | 2 | no | — |
| 178 | C4×Dic22 | — | 2 | 4 | no | — |
| 179 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 180 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 181 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 182 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 183 | C11×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 184 | C11×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 185 | C11×#103 | C23 | 1 | 4 | yes | — |
| 186 | C11×#102 | C23 | 1 | 4 | yes | — |
| 187 | #66899 | C23 | 1 | 2 | yes | — |
| 188 | #66899 | C23 | 1 | 2 | yes | — |
| 189 | #66899 | C23 | 1 | 2 | yes | — |
| 190 | #66899 | C23 | 1 | 2 | yes | — |
| 191 | #66899 | C23 | 1 | 2 | yes | — |
| 192 | #66899 | C23 | 1 | 2 | yes | — |
| 193 | #66896 | C23 | 1 | 2 | yes | — |
| 194 | #66896 | C23 | 1 | 2 | yes | — |
| 195 | #66896 | C23 | 1 | 2 | yes | — |
| 196 | #66896 | C23 | 1 | 2 | yes | — |
| 197 | #66882 | C23 | 1 | 4 | yes | — |
| 198 | #66881 | C23 | 1 | 4 | yes | — |
| 199 | #66880 | C23 | 1 | 4 | yes | — |
| 200 | #66880 | C23 | 1 | 4 | yes | — |
| 201 | #66879 | C23 | 1 | 4 | yes | — |
| 202 | Dic11⋊C8 | C23 | 1 | 4 | yes | — |
| 203 | Dic11⋊C8 | C23 | 1 | 4 | yes | — |
| 204 | C8×Dic11 | C23 | 1 | 4 | yes | — |
| 205 | #66874 | C23 | 1 | 2 | yes | — |
| 206 | #66874 | C23 | 1 | 2 | yes | — |
| 207 | #66871 | C23 | 1 | 2 | yes | — |
| 208 | #66871 | C23 | 1 | 2 | yes | — |
| 209 | C4×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 210 | C4×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 211 | C4×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 212 | C4×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 213 | #61328 | — | 11 | 1 | no | maximal, Sylow |
| 214 | C11×#41 | — | 2 | 4 | no | — |
| 215 | C11×#41 | — | 2 | 4 | no | — |
| 216 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 217 | C2×Q8×C11 | — | 2 | 2 | no | — |
| 218 | C2×Q8×C11 | #41 | 1 | 4 | yes | — |
| 219 | C2×Q8×C11 | C24 | 1 | 2 | yes | — |
| 220 | C2×Q8×C11 | C24 | 1 | 2 | yes | — |
| 221 | C2×D4×C11 | — | 2 | 2 | no | — |
| 222 | C2×D4×C11 | — | 2 | 1 | no | — |
| 223 | C2×D4×C11 | — | 2 | 1 | no | — |
| 224 | C2×D4×C11 | C24 | 1 | 2 | yes | — |
| 225 | C22×C4×C11 | — | 2 | 1 | no | — |
| 226 | C22×C4×C11 | — | 2 | 1 | no | — |
| 227 | C22×C4×C11 | — | 2 | 2 | no | — |
| 228 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 231 | C22×Dic11 | — | 2 | 4 | no | — |
| 232 | C22×Dic11 | — | 2 | 1 | no | — |
| 233 | C22×Dic11 | — | 2 | 1 | no | — |
| 234 | C2×Dic22 | — | 2 | 4 | no | — |
| 235 | C2×Dic22 | — | 2 | 1 | no | — |
| 236 | C2×Dic22 | — | 2 | 1 | no | — |
| 237 | C2×Dic22 | — | 2 | 1 | no | — |
| 238 | C2×Dic22 | — | 2 | 2 | no | — |
| 239 | C2×Dic22 | — | 2 | 2 | no | — |
| 240 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 241 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 242 | C2×Dic22 | C24 | 1 | 2 | yes | — |
| 243 | C11×Q16 | — | 2 | 8 | no | — |
| 244 | C11×SD16 | — | 2 | 8 | no | — |
| 245 | C11×M16 | — | 2 | 4 | no | — |
| 246 | C2×C8×C11 | C24 | 1 | 4 | yes | — |
| 247 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 248 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 249 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 250 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 251 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 252 | C11×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 253 | C11×C22⋊C4 | — | 2 | 2 | no | — |
| 254 | C11×C22⋊C4 | — | 2 | 2 | no | — |
| 255 | C42×C11 | — | 2 | 2 | no | — |
| 256 | C42×C11 | — | 2 | 2 | no | — |
| 257 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 260 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 261 | C22⋊Dic11 | — | 2 | 4 | no | — |
| 262 | C22⋊Dic11 | — | 2 | 4 | no | — |
| 263 | C22⋊Dic11 | — | 2 | 4 | no | — |
| 264 | C22⋊Dic11 | — | 2 | 2 | no | — |
| 265 | C22⋊Dic11 | C2×D4 | 1 | 4 | yes | — |
| 266 | #4326 | — | 2 | 4 | no | — |
| 267 | #4326 | — | 2 | 4 | no | — |
| 268 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 269 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 270 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 271 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 272 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 273 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 274 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 275 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 276 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 277 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 278 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 279 | C4⋊Dic11 | C24 | 1 | 2 | yes | — |
| 280 | C4⋊Dic11 | C24 | 1 | 2 | yes | — |
| 281 | C4⋊Dic11 | C24 | 1 | 2 | yes | — |
| 282 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 283 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 284 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 285 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 286 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 287 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 288 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 289 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 290 | Dic11⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 291 | Dic11⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 292 | C4×Dic11 | — | 2 | 4 | no | — |
| 293 | C4×Dic11 | — | 2 | 4 | no | — |
| 294 | C4×Dic11 | — | 2 | 4 | no | — |
| 295 | C4×Dic11 | — | 2 | 2 | no | — |
| 296 | C4×Dic11 | — | 2 | 2 | no | — |
| 297 | C4×Dic11 | — | 2 | 2 | no | — |
| 298 | C4×Dic11 | C24 | 1 | 4 | yes | — |
| 299 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 300 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 301 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 302 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 303 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 304 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 305 | #3507 | — | 11 | 1 | no | — |
| 306 | #3502 | — | 11 | 1 | no | — |
| 307 | #3377 | — | 11 | 4 | no | — |
| 308 | #3375 | — | 11 | 2 | no | — |
| 309 | #3374 | — | 11 | 2 | no | — |
| 310 | #3365 | — | 11 | 2 | no | — |
| 311 | #3364 | — | 11 | 4 | no | — |
| 312 | #3363 | — | 11 | 2 | no | — |
| 313 | #3137 | — | 11 | 2 | no | — |
| 314 | #3131 | — | 11 | 1 | no | — |
| 315 | #3083 | — | 11 | 2 | no | — |
| 316 | #3078 | — | 11 | 1 | no | — |
| 317 | #3044 | — | 11 | 2 | no | — |
| 318 | #3037 | D11 | 1 | 1 | yes | characteristic |
| 319 | #2960 | — | 11 | 1 | no | — |
| 320 | #2947 | — | 11 | 2 | no | — |
| 321 | C2×C4×Q16 | — | 11 | 1 | no | — |
| 322 | C23×C11 | — | 2 | 2 | no | — |
| 323 | C23×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 324 | Q8×C11 | — | 2 | 4 | no | — |
| 325 | Q8×C11 | — | 2 | 2 | no | — |
| 326 | Q8×C11 | — | 2 | 2 | no | — |
| 327 | Q8×C11 | — | 2 | 2 | no | — |
| 328 | Q8×C11 | C2×#41 | 1 | 4 | yes | — |
| 329 | D4×C11 | — | 2 | 2 | no | — |
| 330 | D4×C11 | — | 2 | 2 | no | — |
| 331 | D4×C11 | — | 4 | 4 | no | — |
| 332 | D4×C11 | — | 4 | 2 | no | — |
| 333 | D4×C11 | — | 8 | 1 | no | — |
| 334 | C2×C4×C11 | — | 2 | 4 | no | — |
| 335 | C2×C4×C11 | — | 2 | 2 | no | — |
| 336 | C2×C4×C11 | — | 2 | 2 | no | — |
| 337 | C2×C4×C11 | — | 2 | 2 | no | — |
| 338 | C2×C4×C11 | — | 2 | 2 | no | — |
| 339 | C2×C4×C11 | — | 4 | 1 | no | — |
| 340 | C2×C4×C11 | — | 4 | 4 | no | — |
| 341 | C2×C4×C11 | — | 8 | 1 | no | — |
| 342 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 343 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 344 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 345 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 346 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 347 | C2×C4×C11 | C2×#41 | 1 | 2 | yes | — |
| 348 | C2×C4×C11 | 2−1+4 | 1 | 2 | yes | — |
| 349 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 350 | C2×Dic11 | — | 2 | 2 | no | — |
| 351 | C2×Dic11 | — | 2 | 2 | no | — |
| 352 | C2×Dic11 | — | 2 | 2 | no | — |
| 353 | C2×Dic11 | — | 2 | 2 | no | — |
| 354 | C2×Dic11 | — | 4 | 2 | no | — |
| 355 | C2×Dic11 | — | 8 | 4 | no | — |
| 356 | C2×Dic11 | — | 8 | 1 | no | — |
| 357 | C2×Dic11 | C22×D4 | 1 | 4 | yes | — |
| 358 | C2×Dic11 | C22×D4 | 1 | 4 | yes | — |
| 359 | Dic22 | — | 2 | 4 | no | — |
| 360 | Dic22 | — | 2 | 2 | no | — |
| 361 | Dic22 | — | 2 | 2 | no | — |
| 362 | Dic22 | — | 4 | 2 | no | — |
| 363 | Dic22 | — | 4 | 2 | no | — |
| 364 | Dic22 | — | 4 | 2 | no | — |
| 365 | Dic22 | — | 8 | 4 | no | — |
| 366 | Dic22 | — | 8 | 1 | no | — |
| 367 | C8×C11 | — | 2 | 4 | no | — |
| 368 | C11⋊C8 | — | 2 | 1 | no | — |
| 369 | C11⋊C8 | — | 2 | 1 | no | — |
| 370 | C11⋊C8 | — | 2 | 1 | no | — |
| 371 | C11⋊C8 | — | 2 | 1 | no | — |
| 372 | C2×#137 | C2×D11 | 1 | 2 | yes | — |
| 373 | C22×Q16 | — | 11 | 1 | no | — |
| 374 | #559 | — | 11 | 2 | no | — |
| 375 | Q82 | — | 11 | 2 | no | — |
| 376 | Q82 | — | 22 | 1 | no | — |
| 377 | #557 | — | 11 | 2 | no | — |
| 378 | #557 | — | 11 | 4 | no | — |
| 379 | #557 | — | 11 | 2 | no | — |
| 380 | #557 | — | 22 | 2 | no | — |
| 381 | #557 | — | 22 | 1 | no | — |
| 382 | #556 | — | 11 | 4 | no | — |
| 383 | #556 | — | 22 | 1 | no | — |
| 384 | #554 | — | 22 | 1 | no | — |
| 385 | #552 | — | 22 | 2 | no | — |
| 386 | #544 | — | 11 | 2 | no | — |
| 387 | #544 | — | 22 | 2 | no | — |
| 388 | #539 | — | 22 | 2 | no | — |
| 389 | #536 | — | 11 | 2 | no | — |
| 390 | #533 | — | 11 | 1 | no | — |
| 391 | #533 | — | 11 | 1 | no | — |
| 392 | #533 | — | 22 | 2 | no | — |
| 393 | #532 | C2×D11 | 1 | 1 | yes | characteristic |
| 394 | #529 | — | 22 | 2 | no | — |
| 395 | #520 | — | 11 | 2 | no | — |
| 396 | #519 | — | 11 | 2 | no | — |
| 397 | C2×C4×Q8 | — | 11 | 1 | no | — |
| 398 | C2×C4×Q8 | C2×D11 | 1 | 1 | yes | characteristic |
| 399 | #491 | — | 11 | 4 | no | — |
| 400 | #489 | — | 11 | 4 | no | — |
| 401 | #488 | — | 11 | 2 | no | — |
| 402 | #488 | — | 11 | 2 | no | — |
| 403 | #488 | — | 11 | 4 | no | — |
| 404 | #487 | — | 11 | 1 | no | — |
| 405 | #487 | — | 11 | 1 | no | — |
| 406 | #487 | — | 11 | 4 | no | — |
| 407 | #486 | — | 11 | 1 | no | — |
| 408 | #486 | — | 11 | 1 | no | — |
| 409 | #479 | — | 11 | 4 | no | — |
| 410 | #479 | — | 11 | 4 | no | — |
| 411 | #478 | — | 11 | 4 | no | — |
| 412 | #477 | — | 11 | 2 | no | — |
| 413 | #477 | — | 11 | 4 | no | — |
| 414 | #475 | — | 11 | 2 | no | — |
| 415 | #474 | — | 11 | 4 | no | — |
| 416 | #464 | — | 11 | 4 | no | — |
| 417 | #464 | — | 11 | 4 | no | — |
| 418 | #464 | C2×D11 | 1 | 4 | yes | — |
| 419 | #462 | — | 11 | 4 | no | — |
| 420 | #462 | — | 11 | 4 | no | — |
| 421 | #462 | C2×D11 | 1 | 2 | yes | — |
| 422 | #460 | C2×D11 | 1 | 2 | yes | — |
| 423 | #446 | — | 11 | 2 | no | — |
| 424 | #446 | — | 11 | 2 | no | — |
| 425 | C8×Q8 | — | 11 | 2 | no | — |
| 426 | C8×Q8 | — | 11 | 2 | no | — |
| 427 | #441 | — | 11 | 4 | no | — |
| 428 | #440 | — | 11 | 4 | no | — |
| 429 | C4×Q16 | — | 11 | 4 | no | — |
| 430 | C4×Q16 | — | 11 | 2 | no | — |
| 431 | C4×Q16 | — | 11 | 2 | no | — |
| 432 | C4×Q16 | — | 11 | 2 | no | — |
| 433 | C4×Q16 | — | 11 | 2 | no | — |
| 434 | C4×SD16 | — | 11 | 4 | no | — |
| 435 | #428 | — | 11 | 2 | no | — |
| 436 | C2×#107 | — | 11 | 1 | no | — |
| 437 | #424 | — | 11 | 2 | no | — |
| 438 | #423 | C2×D11 | 1 | 1 | yes | characteristic |
| 439 | #419 | — | 11 | 2 | no | — |
| 440 | #417 | C2×D11 | 1 | 2 | yes | — |
| 441 | #416 | — | 11 | 2 | no | — |
| 442 | #416 | — | 11 | 2 | no | — |
| 443 | C2×#103 | — | 11 | 1 | no | — |
| 444 | C2×#103 | — | 11 | 1 | no | — |
| 445 | #405 | — | 11 | 2 | no | — |
| 446 | C2×C4×C8 | — | 11 | 1 | no | — |
| 447 | C22×C11 | — | 2 | 1 | no | — |
| 448 | C22×C11 | — | 2 | 1 | no | — |
| 449 | C22×C11 | — | 4 | 2 | no | — |
| 450 | C22×C11 | — | 4 | 2 | no | — |
| 451 | C22×C11 | — | 4 | 2 | no | — |
| 452 | C22×C11 | #548 | 1 | 2 | yes | — |
| 453 | C22×C11 | C23×D4 | 1 | 1 | yes | characteristic |
| 454 | C4×C11 | — | 2 | 1 | no | — |
| 455 | C4×C11 | — | 2 | 1 | no | — |
| 456 | C4×C11 | — | 2 | 4 | no | — |
| 457 | C4×C11 | — | 2 | 1 | no | — |
| 458 | C4×C11 | — | 4 | 2 | no | — |
| 459 | C4×C11 | — | 4 | 2 | no | — |
| 460 | C4×C11 | #548 | 1 | 2 | yes | — |
| 461 | C4×C11 | #578 | 1 | 2 | yes | — |
| 462 | C4×C11 | C22×#41 | 1 | 1 | yes | characteristic |
| 463 | C4×C11 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 464 | Dic11 | — | 2 | 4 | no | — |
| 465 | Dic11 | — | 2 | 4 | no | — |
| 466 | Dic11 | — | 4 | 2 | no | — |
| 467 | Dic11 | — | 4 | 2 | no | — |
| 468 | Dic11 | — | 4 | 2 | no | — |
| 469 | Dic11 | — | 4 | 2 | no | — |
| 470 | C2×#41 | C22×D11 | 1 | 2 | yes | — |
| 471 | C22×Q8 | — | 11 | 1 | no | — |
| 472 | C22×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 473 | #137 | — | 2 | 8 | no | — |
| 474 | C2×Q16 | — | 11 | 2 | no | — |
| 475 | C2×Q16 | — | 11 | 2 | no | — |
| 476 | C2×Q16 | — | 22 | 4 | no | — |
| 477 | C2×Q16 | C22×D11 | 1 | 4 | yes | — |
| 478 | C2×SD16 | C22×D11 | 1 | 4 | yes | — |
| 479 | C2×M16 | C22×D11 | 1 | 2 | yes | — |
| 480 | C22×C8 | — | 11 | 1 | no | — |
| 481 | C22×C8 | — | 11 | 1 | no | — |
| 482 | C4⋊Q8 | — | 11 | 4 | no | — |
| 483 | C4⋊Q8 | — | 11 | 4 | no | — |
| 484 | C4⋊Q8 | — | 11 | 1 | no | — |
| 485 | C4⋊Q8 | — | 11 | 1 | no | — |
| 486 | C4⋊Q8 | — | 11 | 1 | no | — |
| 487 | C4⋊Q8 | — | 11 | 1 | no | — |
| 488 | C4⋊Q8 | — | 22 | 2 | no | — |
| 489 | C4⋊Q8 | — | 22 | 2 | no | — |
| 490 | C4⋊Q8 | — | 22 | 2 | no | — |
| 491 | C4⋊Q8 | — | 22 | 4 | no | — |
| 492 | C4⋊Q8 | — | 22 | 4 | no | — |
| 493 | C4⋊Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 494 | #127 | C22×D11 | 1 | 1 | yes | characteristic |
| 495 | #126 | — | 22 | 4 | no | — |
| 496 | #126 | — | 22 | 4 | no | — |
| 497 | #125 | — | 11 | 4 | no | — |
| 498 | #125 | — | 11 | 2 | no | — |
| 499 | #125 | — | 11 | 2 | no | — |
| 500 | #125 | — | 22 | 4 | no | — |
| 501 | #125 | — | 22 | 2 | no | — |
| 502 | #125 | — | 22 | 4 | no | — |
| 503 | #125 | — | 22 | 2 | no | — |
| 504 | #125 | — | 22 | 4 | no | — |
| 505 | #125 | — | 22 | 4 | no | — |
| 506 | #124 | — | 11 | 4 | no | — |
| 507 | #124 | — | 22 | 2 | no | — |
| 508 | #124 | C22×D11 | 1 | 2 | yes | — |
| 509 | #123 | — | 22 | 4 | no | — |
| 510 | #123 | — | 22 | 4 | no | — |
| 511 | C22⋊Q8 | — | 11 | 2 | no | — |
| 512 | C22⋊Q8 | — | 11 | 2 | no | — |
| 513 | C22⋊Q8 | — | 22 | 4 | no | — |
| 514 | C22⋊Q8 | — | 22 | 4 | no | — |
| 515 | C22⋊Q8 | — | 22 | 2 | no | — |
| 516 | C22⋊Q8 | — | 22 | 2 | no | — |
| 517 | C22⋊Q8 | — | 22 | 1 | no | — |
| 518 | C22⋊Q8 | — | 22 | 1 | no | — |
| 519 | #121 | — | 2 | 1 | no | — |
| 520 | #121 | — | 2 | 1 | no | — |
| 521 | C4×Q8 | — | 2 | 1 | no | — |
| 522 | C4×Q8 | — | 2 | 1 | no | — |
| 523 | C4×Q8 | — | 11 | 2 | no | — |
| 524 | C4×Q8 | — | 11 | 2 | no | — |
| 525 | C4×Q8 | — | 11 | 4 | no | — |
| 526 | C4×Q8 | — | 11 | 4 | no | — |
| 527 | C4×Q8 | — | 11 | 4 | no | — |
| 528 | C4×Q8 | — | 11 | 2 | no | — |
| 529 | C4×Q8 | — | 11 | 2 | no | — |
| 530 | C4×Q8 | — | 22 | 4 | no | — |
| 531 | C4×Q8 | — | 22 | 2 | no | — |
| 532 | C4×Q8 | — | 22 | 2 | no | — |
| 533 | C4×Q8 | — | 22 | 2 | no | — |
| 534 | C4×Q8 | — | 22 | 2 | no | — |
| 535 | C4×Q8 | — | 22 | 2 | no | — |
| 536 | C4×Q8 | — | 22 | 1 | no | — |
| 537 | C4×Q8 | — | 22 | 1 | no | — |
| 538 | C4×Q8 | — | 22 | 1 | no | — |
| 539 | C4×Q8 | — | 22 | 1 | no | — |
| 540 | C4×Q8 | C22×D11 | 1 | 2 | yes | — |
| 541 | C4×Q8 | C22×D11 | 1 | 2 | yes | — |
| 542 | C4×D4 | — | 2 | 1 | no | — |
| 543 | C4×D4 | — | 2 | 1 | no | — |
| 544 | C4×D4 | — | 11 | 4 | no | — |
| 545 | C4×D4 | — | 22 | 4 | no | — |
| 546 | C4×D4 | — | 22 | 2 | no | — |
| 547 | #117 | — | 11 | 2 | no | — |
| 548 | #117 | — | 11 | 2 | no | — |
| 549 | #117 | — | 22 | 4 | no | — |
| 550 | #117 | — | 22 | 4 | no | — |
| 551 | #117 | — | 22 | 2 | no | — |
| 552 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 553 | C2×C4⋊C4 | — | 11 | 1 | no | — |
| 554 | C2×C4⋊C4 | — | 22 | 2 | no | — |
| 555 | C2×C4⋊C4 | — | 22 | 1 | no | — |
| 556 | C2×C4⋊C4 | C22×D11 | 1 | 1 | yes | characteristic |
| 557 | C2×C42 | — | 2 | 1 | no | — |
| 558 | C2×C42 | — | 22 | 1 | no | — |
| 559 | C2×C42 | C22×D11 | 1 | 1 | yes | characteristic |
| 560 | #107 | — | 11 | 4 | no | — |
| 561 | #107 | — | 11 | 2 | no | — |
| 562 | #107 | — | 11 | 2 | no | — |
| 563 | #106 | — | 11 | 4 | no | — |
| 564 | C4⋊C8 | — | 11 | 4 | no | — |
| 565 | C4⋊C8 | — | 11 | 4 | no | — |
| 566 | C4⋊C8 | C22×D11 | 1 | 2 | yes | — |
| 567 | C4⋊C8 | C22×D11 | 1 | 2 | yes | — |
| 568 | #103 | — | 11 | 2 | no | — |
| 569 | #103 | — | 11 | 2 | no | — |
| 570 | #103 | — | 11 | 2 | no | — |
| 571 | #103 | — | 11 | 2 | no | — |
| 572 | #103 | — | 11 | 2 | no | — |
| 573 | #103 | — | 11 | 2 | no | — |
| 574 | #103 | — | 11 | 4 | no | — |
| 575 | #103 | — | 11 | 4 | no | — |
| 576 | #103 | — | 11 | 2 | no | — |
| 577 | #103 | — | 11 | 2 | no | — |
| 578 | #103 | C22×D11 | 1 | 4 | yes | — |
| 579 | #102 | — | 11 | 2 | no | — |
| 580 | #102 | — | 11 | 2 | no | — |
| 581 | #102 | — | 11 | 2 | no | — |
| 582 | #102 | — | 11 | 2 | no | — |
| 583 | #102 | C22×D11 | 1 | 4 | yes | — |
| 584 | #97 | — | 11 | 4 | no | — |
| 585 | C4×C8 | — | 11 | 4 | no | — |
| 586 | C4×C8 | — | 11 | 1 | no | — |
| 587 | C4×C8 | — | 11 | 1 | no | — |
| 588 | C4×C8 | — | 11 | 1 | no | — |
| 589 | C4×C8 | — | 11 | 1 | no | — |
| 590 | C2×C11 | — | 2 | 2 | no | — |
| 591 | C2×C11 | — | 8 | 2 | no | — |
| 592 | C2×C11 | C2×#548 | 1 | 1 | yes | characteristic |
| 593 | C2×C11 | C2×#578 | 1 | 1 | yes | characteristic |
| 594 | C2×C11 | #3584 | 1 | 1 | yes | characteristic |
| 595 | #41 | — | 2 | 4 | no | — |
| 596 | #41 | — | 2 | 4 | no | — |
| 597 | C2×Q8 | — | 2 | 1 | no | — |
| 598 | C2×Q8 | — | 2 | 2 | no | — |
| 599 | C2×Q8 | — | 11 | 2 | no | — |
| 600 | C2×Q8 | — | 11 | 2 | no | — |
| 601 | C2×Q8 | — | 11 | 2 | no | — |
| 602 | C2×Q8 | — | 22 | 4 | no | — |
| 603 | C2×Q8 | — | 22 | 1 | no | — |
| 604 | C2×Q8 | — | 22 | 1 | no | — |
| 605 | C2×Q8 | — | 22 | 1 | no | — |
| 606 | C2×Q8 | — | 22 | 2 | no | — |
| 607 | C2×Q8 | — | 22 | 2 | no | — |
| 608 | C2×Q8 | #4341 | 1 | 4 | yes | — |
| 609 | C2×Q8 | C23×D11 | 1 | 2 | yes | — |
| 610 | C2×Q8 | C23×D11 | 1 | 2 | yes | — |
| 611 | C2×D4 | — | 2 | 2 | no | — |
| 612 | C2×D4 | — | 2 | 1 | no | — |
| 613 | C2×D4 | — | 2 | 1 | no | — |
| 614 | C2×D4 | C23×D11 | 1 | 2 | yes | — |
| 615 | C22×C4 | — | 2 | 1 | no | — |
| 616 | C22×C4 | — | 2 | 1 | no | — |
| 617 | C22×C4 | — | 2 | 2 | no | — |
| 618 | C22×C4 | — | 22 | 4 | no | — |
| 619 | C22×C4 | — | 22 | 1 | no | — |
| 620 | C22×C4 | — | 22 | 1 | no | — |
| 621 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 622 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 623 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 624 | Q16 | — | 2 | 8 | no | — |
| 625 | Q16 | — | 22 | 4 | no | — |
| 626 | Q16 | — | 22 | 4 | no | — |
| 627 | SD16 | — | 2 | 8 | no | — |
| 628 | M16 | — | 2 | 4 | no | — |
| 629 | C2×C8 | — | 11 | 1 | no | — |
| 630 | C2×C8 | — | 11 | 1 | no | — |
| 631 | C2×C8 | — | 11 | 1 | no | — |
| 632 | C2×C8 | — | 11 | 1 | no | — |
| 633 | C2×C8 | — | 22 | 2 | no | — |
| 634 | C2×C8 | — | 22 | 2 | no | — |
| 635 | C2×C8 | C23×D11 | 1 | 4 | yes | — |
| 636 | C4⋊C4 | — | 2 | 2 | no | — |
| 637 | C4⋊C4 | — | 2 | 2 | no | — |
| 638 | C4⋊C4 | — | 2 | 1 | no | — |
| 639 | C4⋊C4 | — | 2 | 1 | no | — |
| 640 | C4⋊C4 | — | 2 | 1 | no | — |
| 641 | C4⋊C4 | — | 11 | 2 | no | — |
| 642 | C4⋊C4 | — | 11 | 2 | no | — |
| 643 | C4⋊C4 | — | 11 | 4 | no | — |
| 644 | C4⋊C4 | — | 11 | 2 | no | — |
| 645 | C4⋊C4 | — | 11 | 4 | no | — |
| 646 | C4⋊C4 | — | 11 | 2 | no | — |
| 647 | C4⋊C4 | — | 11 | 2 | no | — |
| 648 | C4⋊C4 | — | 11 | 2 | no | — |
| 649 | C4⋊C4 | — | 11 | 2 | no | — |
| 650 | C4⋊C4 | — | 22 | 4 | no | — |
| 651 | C4⋊C4 | — | 22 | 4 | no | — |
| 652 | C4⋊C4 | — | 22 | 4 | no | — |
| 653 | C4⋊C4 | — | 22 | 4 | no | — |
| 654 | C4⋊C4 | — | 22 | 4 | no | — |
| 655 | C4⋊C4 | — | 22 | 4 | no | — |
| 656 | C4⋊C4 | — | 22 | 4 | no | — |
| 657 | C4⋊C4 | — | 22 | 4 | no | — |
| 658 | C4⋊C4 | — | 22 | 1 | no | — |
| 659 | C4⋊C4 | — | 22 | 2 | no | — |
| 660 | C4⋊C4 | — | 22 | 2 | no | — |
| 661 | C4⋊C4 | — | 22 | 2 | no | — |
| 662 | C4⋊C4 | — | 22 | 1 | no | — |
| 663 | C4⋊C4 | — | 22 | 2 | no | — |
| 664 | C4⋊C4 | — | 22 | 1 | no | — |
| 665 | C4⋊C4 | C23×D11 | 1 | 2 | yes | — |
| 666 | C22⋊C4 | — | 2 | 2 | no | — |
| 667 | C22⋊C4 | — | 2 | 2 | no | — |
| 668 | C22⋊C4 | — | 11 | 4 | no | — |
| 669 | C22⋊C4 | — | 22 | 4 | no | — |
| 670 | C22⋊C4 | — | 22 | 4 | no | — |
| 671 | C22⋊C4 | — | 22 | 4 | no | — |
| 672 | C22⋊C4 | — | 22 | 2 | no | — |
| 673 | C42 | — | 2 | 2 | no | — |
| 674 | C42 | — | 2 | 2 | no | — |
| 675 | C42 | — | 11 | 4 | no | — |
| 676 | C42 | — | 22 | 4 | no | — |
| 677 | C42 | — | 22 | 4 | no | — |
| 678 | C42 | — | 22 | 4 | no | — |
| 679 | C42 | — | 22 | 2 | no | — |
| 680 | C42 | — | 22 | 2 | no | — |
| 681 | C42 | — | 22 | 2 | no | — |
| 682 | C42 | D4×D11 | 1 | 1 | yes | characteristic |
| 683 | C42 | D4×D11 | 1 | 1 | yes | characteristic |
| 684 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 685 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 686 | C11 | #61328 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 687 | C23 | — | 2 | 2 | no | — |
| 688 | C23 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 689 | Q8 | — | 2 | 4 | no | — |
| 690 | Q8 | — | 2 | 2 | no | — |
| 691 | Q8 | — | 2 | 2 | no | — |
| 692 | Q8 | — | 2 | 2 | no | — |
| 693 | Q8 | — | 22 | 4 | no | — |
| 694 | Q8 | — | 22 | 2 | no | — |
| 695 | Q8 | — | 22 | 2 | no | — |
| 696 | Q8 | — | 44 | 2 | no | — |
| 697 | Q8 | — | 44 | 2 | no | — |
| 698 | Q8 | — | 44 | 2 | no | — |
| 699 | Q8 | — | 88 | 1 | no | — |
| 700 | Q8 | — | 88 | 4 | no | — |
| 701 | Q8 | C2×#4341 | 1 | 4 | yes | — |
| 702 | D4 | — | 2 | 2 | no | — |
| 703 | D4 | — | 2 | 2 | no | — |
| 704 | D4 | — | 4 | 4 | no | — |
| 705 | D4 | — | 4 | 2 | no | — |
| 706 | D4 | — | 8 | 1 | no | — |
| 707 | C2×C4 | — | 2 | 4 | no | — |
| 708 | C2×C4 | — | 2 | 2 | no | — |
| 709 | C2×C4 | — | 2 | 2 | no | — |
| 710 | C2×C4 | — | 2 | 2 | no | — |
| 711 | C2×C4 | — | 2 | 2 | no | — |
| 712 | C2×C4 | — | 4 | 1 | no | — |
| 713 | C2×C4 | — | 4 | 4 | no | — |
| 714 | C2×C4 | — | 8 | 1 | no | — |
| 715 | C2×C4 | — | 11 | 4 | no | — |
| 716 | C2×C4 | — | 11 | 4 | no | — |
| 717 | C2×C4 | — | 22 | 2 | no | — |
| 718 | C2×C4 | — | 22 | 2 | no | — |
| 719 | C2×C4 | — | 22 | 2 | no | — |
| 720 | C2×C4 | — | 22 | 2 | no | — |
| 721 | C2×C4 | — | 44 | 2 | no | — |
| 722 | C2×C4 | — | 88 | 4 | no | — |
| 723 | C2×C4 | — | 88 | 1 | no | — |
| 724 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 726 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 727 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 728 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 729 | C2×C4 | C2×#4341 | 1 | 2 | yes | — |
| 730 | C2×C4 | #67043 | 1 | 2 | yes | — |
| 731 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 732 | C8 | — | 2 | 4 | no | — |
| 733 | C8 | — | 22 | 1 | no | — |
| 734 | C8 | — | 22 | 1 | no | — |
| 735 | C8 | — | 22 | 1 | no | — |
| 736 | C8 | — | 22 | 1 | no | — |
| 737 | C22 | — | 2 | 1 | no | — |
| 738 | C22 | — | 2 | 1 | no | — |
| 739 | C22 | — | 4 | 2 | no | — |
| 740 | C22 | — | 4 | 2 | no | — |
| 741 | C22 | — | 4 | 2 | no | — |
| 742 | C22 | #10623129 | 1 | 2 | yes | — |
| 743 | C22 | C22×D4×D11 | 1 | 1 | yes | characteristic |
| 744 | C4 | — | 2 | 4 | no | — |
| 745 | C4 | — | 2 | 1 | no | — |
| 746 | C4 | — | 2 | 1 | no | — |
| 747 | C4 | — | 2 | 1 | no | — |
| 748 | C4 | — | 4 | 2 | no | — |
| 749 | C4 | — | 4 | 2 | no | — |
| 750 | C4 | — | 22 | 4 | no | — |
| 751 | C4 | — | 22 | 4 | no | — |
| 752 | C4 | — | 44 | 2 | no | — |
| 753 | C4 | — | 44 | 2 | no | — |
| 754 | C4 | — | 44 | 2 | no | — |
| 755 | C4 | — | 44 | 2 | no | — |
| 756 | C4 | #10623129 | 1 | 2 | yes | — |
| 757 | C4 | #10623310 | 1 | 2 | yes | — |
| 758 | C4 | C22×#4341 | 1 | 1 | yes | characteristic |
| 759 | C4 | C2×#67043 | 1 | 1 | yes | characteristic |
| 760 | C2 | — | 2 | 2 | no | — |
| 761 | C2 | — | 8 | 2 | no | — |
| 762 | C2 | C2×#10623129 | 1 | 1 | yes | characteristic |
| 763 | C2 | C2×#10623310 | 1 | 1 | yes | characteristic |
| 764 | C2 | #13083389 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta