Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10611082 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10610237 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10605159 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10601615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10600653 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #10600226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#1300 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#4021 | C22 | 1 | 1 | yes | characteristic |
| 9 | #65804 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#4015 | C22 | 1 | 1 | yes | characteristic |
| 11 | C5×#432 | C22 | 1 | 1 | yes | characteristic |
| 12 | C4×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C5×#376 | C22 | 1 | 1 | yes | characteristic |
| 14 | #65410 | — | 2 | 2 | no | — |
| 15 | #65228 | — | 2 | 1 | no | — |
| 16 | #65218 | — | 2 | 1 | no | — |
| 17 | #65215 | C22 | 1 | 1 | yes | characteristic |
| 18 | #65134 | — | 2 | 2 | no | — |
| 19 | #65028 | — | 2 | 1 | no | — |
| 20 | #65020 | — | 2 | 1 | no | — |
| 21 | #65004 | — | 2 | 1 | no | — |
| 22 | #65003 | — | 2 | 1 | no | — |
| 23 | #64991 | — | 2 | 2 | no | — |
| 24 | #64971 | — | 2 | 1 | no | — |
| 25 | #64969 | — | 2 | 1 | no | — |
| 26 | #64963 | — | 2 | 2 | no | — |
| 27 | #64962 | — | 2 | 2 | no | — |
| 28 | #64706 | — | 2 | 2 | no | — |
| 29 | #64684 | — | 2 | 2 | no | — |
| 30 | #64672 | — | 2 | 2 | no | — |
| 31 | #10100 | — | 5 | 1 | no | maximal, Sylow |
| 32 | C22×D20 | D4 | 1 | 1 | yes | characteristic |
| 33 | C22×Dic10 | — | 2 | 1 | no | — |
| 34 | C22×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 35 | C2×C5×M16 | — | 2 | 1 | no | — |
| 36 | C2×C42×C5 | — | 2 | 1 | no | — |
| 37 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 38 | C2×#685 | — | 2 | 1 | no | — |
| 39 | C2×#685 | — | 2 | 1 | no | — |
| 40 | C2×#685 | — | 2 | 4 | no | — |
| 41 | #4072 | — | 2 | 1 | no | — |
| 42 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 43 | C2×C4⋊Dic5 | D4 | 1 | 2 | yes | — |
| 44 | #4070 | — | 2 | 1 | no | — |
| 45 | #4070 | — | 2 | 1 | no | — |
| 46 | C2×Dic20 | — | 2 | 2 | no | — |
| 47 | C2×#677 | — | 2 | 2 | no | — |
| 48 | #4021 | — | 2 | 1 | no | — |
| 49 | #4021 | — | 2 | 1 | no | — |
| 50 | #4021 | — | 2 | 1 | no | — |
| 51 | #4021 | — | 2 | 1 | no | — |
| 52 | #4016 | — | 2 | 1 | no | — |
| 53 | #4015 | — | 2 | 1 | no | — |
| 54 | #4015 | — | 2 | 1 | no | — |
| 55 | #4015 | — | 2 | 1 | no | — |
| 56 | #4015 | — | 2 | 1 | no | — |
| 57 | #4015 | D4 | 1 | 1 | yes | characteristic |
| 58 | #4015 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×Dic10 | — | 2 | 1 | no | — |
| 60 | C4×Dic10 | — | 2 | 1 | no | — |
| 61 | C5×C4⋊C8 | D4 | 1 | 2 | yes | — |
| 62 | C5×C22⋊C8 | — | 2 | 1 | no | — |
| 63 | C5×#97 | — | 2 | 1 | no | — |
| 64 | C5×#97 | D4 | 1 | 2 | yes | — |
| 65 | C4×C5×C8 | — | 2 | 1 | no | — |
| 66 | C5×#95 | — | 2 | 1 | no | — |
| 67 | C5×#95 | D4 | 1 | 2 | yes | — |
| 68 | #3963 | — | 2 | 4 | no | — |
| 69 | C22⋊#168 | — | 2 | 1 | no | — |
| 70 | #3953 | — | 2 | 2 | no | — |
| 71 | #3950 | — | 2 | 4 | no | — |
| 72 | #3949 | — | 2 | 4 | no | — |
| 73 | #3948 | — | 2 | 2 | no | — |
| 74 | C4⋊#168 | — | 2 | 1 | no | — |
| 75 | #3935 | — | 2 | 1 | no | — |
| 76 | #3215 | — | 5 | 1 | no | — |
| 77 | #3165 | — | 5 | 1 | no | — |
| 78 | #2640 | — | 5 | 1 | no | — |
| 79 | #1556 | — | 5 | 1 | no | — |
| 80 | #1527 | — | 5 | 1 | no | — |
| 81 | #1506 | — | 5 | 1 | no | — |
| 82 | #1300 | D5 | 1 | 1 | yes | characteristic, complemented |
| 83 | C23×D5 | — | 2 | 1 | no | — |
| 84 | C22×C4×C5 | — | 2 | 2 | no | — |
| 85 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C22×Dic5 | — | 2 | 2 | no | — |
| 89 | C22×Dic5 | — | 2 | 1 | no | — |
| 90 | C2×D20 | — | 2 | 1 | no | — |
| 91 | C2×D20 | — | 2 | 1 | no | — |
| 92 | C2×D20 | — | 4 | 2 | no | — |
| 93 | C2×Dic10 | — | 2 | 1 | no | — |
| 94 | C2×Dic10 | — | 2 | 1 | no | — |
| 95 | C2×Dic10 | — | 2 | 1 | no | — |
| 96 | C2×Dic10 | — | 2 | 1 | no | — |
| 97 | C2×Dic10 | — | 4 | 2 | no | — |
| 98 | C2×Dic10 | — | 4 | 1 | no | — |
| 99 | C2×Dic10 | — | 4 | 1 | no | — |
| 100 | C2×Dic10 | — | 8 | 2 | no | — |
| 101 | C5×M16 | — | 2 | 4 | no | — |
| 102 | C2×C5×C8 | — | 2 | 2 | no | — |
| 103 | C2×C5×C8 | — | 2 | 2 | no | — |
| 104 | C42×C5 | — | 4 | 2 | no | — |
| 105 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C42×C5 | #41 | 1 | 1 | yes | characteristic |
| 109 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 110 | #685 | — | 4 | 1 | no | — |
| 111 | #685 | — | 4 | 1 | no | — |
| 112 | #685 | — | 4 | 1 | no | — |
| 113 | #685 | — | 4 | 1 | no | — |
| 114 | #685 | — | 8 | 4 | no | — |
| 115 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 116 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 117 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 118 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 119 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 120 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 121 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 122 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 123 | #683 | — | 4 | 1 | no | — |
| 124 | #683 | — | 4 | 1 | no | — |
| 125 | C4×Dic5 | — | 4 | 1 | no | — |
| 126 | C2×#168 | — | 4 | 1 | no | — |
| 127 | Dic20 | — | 8 | 2 | no | — |
| 128 | #677 | — | 8 | 2 | no | — |
| 129 | #533 | — | 5 | 1 | no | — |
| 130 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 131 | C2×#124 | — | 5 | 1 | no | — |
| 132 | #501 | — | 10 | 2 | no | — |
| 133 | #500 | — | 10 | 1 | no | — |
| 134 | #498 | — | 10 | 1 | no | — |
| 135 | #497 | — | 10 | 1 | no | — |
| 136 | #489 | — | 10 | 1 | no | — |
| 137 | #464 | — | 10 | 2 | no | — |
| 138 | #451 | — | 10 | 1 | no | — |
| 139 | #450 | — | 10 | 1 | no | — |
| 140 | #432 | — | 5 | 1 | no | — |
| 141 | #432 | C2×D5 | 1 | 1 | yes | characteristic |
| 142 | #428 | — | 10 | 2 | no | — |
| 143 | C4×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 144 | #397 | — | 10 | 2 | no | — |
| 145 | #393 | — | 10 | 2 | no | — |
| 146 | #391 | — | 10 | 1 | no | — |
| 147 | #390 | — | 10 | 1 | no | — |
| 148 | #376 | C2×D5 | 1 | 1 | yes | characteristic |
| 149 | #332 | — | 10 | 2 | no | — |
| 150 | #329 | — | 10 | 2 | no | — |
| 151 | #328 | — | 10 | 2 | no | — |
| 152 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 153 | C22×D5 | — | 4 | 2 | no | — |
| 154 | C22×D5 | — | 4 | 2 | no | — |
| 155 | C22×D5 | — | 4 | 1 | no | — |
| 156 | C22×D5 | — | 4 | 2 | no | — |
| 157 | C2×C4×C5 | — | 2 | 2 | no | — |
| 158 | C2×C4×C5 | — | 2 | 2 | no | — |
| 159 | C2×C4×C5 | — | 4 | 1 | no | — |
| 160 | C2×C4×C5 | — | 4 | 2 | no | — |
| 161 | C2×C4×C5 | — | 4 | 2 | no | — |
| 162 | C2×C4×C5 | — | 4 | 2 | no | — |
| 163 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 164 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 167 | C2×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C5 | #127 | 1 | 1 | yes | characteristic |
| 169 | C2×Dic5 | — | 4 | 4 | no | — |
| 170 | C2×Dic5 | — | 4 | 2 | no | — |
| 171 | C2×Dic5 | — | 4 | 1 | no | — |
| 172 | C2×Dic5 | — | 4 | 1 | no | — |
| 173 | C2×Dic5 | — | 4 | 2 | no | — |
| 174 | C2×Dic5 | — | 4 | 1 | no | — |
| 175 | D20 | — | 4 | 2 | no | — |
| 176 | D20 | — | 8 | 1 | no | — |
| 177 | Dic10 | — | 4 | 2 | no | — |
| 178 | Dic10 | — | 4 | 2 | no | — |
| 179 | Dic10 | — | 8 | 2 | no | — |
| 180 | Dic10 | — | 8 | 2 | no | — |
| 181 | Dic10 | — | 8 | 1 | no | — |
| 182 | Dic10 | — | 8 | 1 | no | — |
| 183 | C5×C8 | — | 2 | 4 | no | — |
| 184 | C5×C8 | — | 4 | 2 | no | — |
| 185 | #168 | — | 8 | 1 | no | — |
| 186 | C22×Q8 | — | 5 | 1 | no | — |
| 187 | C22×Q8 | — | 10 | 1 | no | — |
| 188 | C22×D4 | — | 5 | 1 | no | — |
| 189 | C2×Q16 | — | 10 | 2 | no | — |
| 190 | C2×SD16 | — | 10 | 2 | no | — |
| 191 | C2×M16 | — | 2 | 1 | no | — |
| 192 | C4⋊Q8 | — | 5 | 1 | no | — |
| 193 | C4⋊Q8 | — | 5 | 1 | no | — |
| 194 | C4⋊Q8 | — | 10 | 1 | no | — |
| 195 | C4⋊Q8 | — | 10 | 1 | no | — |
| 196 | C4⋊Q8 | — | 10 | 1 | no | — |
| 197 | C4⋊Q8 | — | 10 | 1 | no | — |
| 198 | #125 | — | 10 | 1 | no | — |
| 199 | #124 | — | 10 | 1 | no | — |
| 200 | #124 | — | 10 | 1 | no | — |
| 201 | #124 | — | 10 | 1 | no | — |
| 202 | #124 | — | 10 | 1 | no | — |
| 203 | C22⋊Q8 | — | 10 | 1 | no | — |
| 204 | C22⋊Q8 | — | 10 | 1 | no | — |
| 205 | C4×Q8 | — | 10 | 1 | no | — |
| 206 | C4×Q8 | — | 10 | 1 | no | — |
| 207 | #117 | — | 10 | 1 | no | — |
| 208 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 209 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 210 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 211 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 212 | C2×C22⋊C4 | — | 10 | 4 | no | — |
| 213 | C2×C42 | — | 2 | 1 | no | — |
| 214 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 215 | #107 | — | 10 | 4 | no | — |
| 216 | #106 | — | 10 | 4 | no | — |
| 217 | C4⋊C8 | — | 10 | 1 | no | — |
| 218 | C4⋊C8 | D20 | 1 | 2 | yes | — |
| 219 | #103 | — | 10 | 2 | no | — |
| 220 | #102 | — | 10 | 2 | no | — |
| 221 | C22⋊C8 | — | 2 | 1 | no | — |
| 222 | C22⋊C8 | — | 10 | 1 | no | — |
| 223 | #97 | — | 2 | 1 | no | — |
| 224 | #97 | — | 10 | 1 | no | — |
| 225 | #97 | D20 | 1 | 2 | yes | — |
| 226 | C4×C8 | — | 2 | 1 | no | — |
| 227 | #95 | — | 2 | 1 | no | — |
| 228 | #95 | — | 10 | 4 | no | — |
| 229 | #95 | D20 | 1 | 2 | yes | — |
| 230 | C22×C5 | — | 2 | 1 | no | — |
| 231 | C22×C5 | — | 2 | 1 | no | — |
| 232 | C22×C5 | #392 | 1 | 1 | yes | characteristic |
| 233 | C22×C5 | #456 | 1 | 2 | yes | — |
| 234 | C2×D5 | — | 8 | 4 | no | — |
| 235 | C2×D5 | — | 8 | 1 | no | — |
| 236 | C2×D5 | — | 8 | 1 | no | — |
| 237 | C2×D5 | — | 8 | 1 | no | — |
| 238 | C4×C5 | — | 2 | 1 | no | — |
| 239 | C4×C5 | — | 2 | 1 | no | — |
| 240 | C4×C5 | — | 2 | 1 | no | — |
| 241 | C4×C5 | — | 2 | 1 | no | — |
| 242 | C4×C5 | — | 2 | 1 | no | — |
| 243 | C4×C5 | — | 8 | 2 | no | — |
| 244 | C4×C5 | #455 | 1 | 2 | yes | — |
| 245 | Dic5 | — | 8 | 1 | no | — |
| 246 | Dic5 | — | 8 | 1 | no | — |
| 247 | Dic5 | — | 8 | 2 | no | — |
| 248 | Dic5 | — | 8 | 1 | no | — |
| 249 | C24 | — | 10 | 1 | no | — |
| 250 | C2×Q8 | — | 10 | 1 | no | — |
| 251 | C2×Q8 | — | 10 | 1 | no | — |
| 252 | C2×Q8 | — | 10 | 1 | no | — |
| 253 | C2×Q8 | — | 10 | 1 | no | — |
| 254 | C2×Q8 | — | 20 | 2 | no | — |
| 255 | C2×Q8 | — | 20 | 1 | no | — |
| 256 | C2×Q8 | — | 20 | 1 | no | — |
| 257 | C2×Q8 | — | 40 | 2 | no | — |
| 258 | C2×D4 | — | 10 | 1 | no | — |
| 259 | C2×D4 | — | 10 | 1 | no | — |
| 260 | C2×D4 | — | 20 | 2 | no | — |
| 261 | C22×C4 | — | 2 | 2 | no | — |
| 262 | C22×C4 | — | 10 | 1 | no | — |
| 263 | C22×C4 | — | 10 | 2 | no | — |
| 264 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 265 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 266 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 267 | Q16 | — | 40 | 2 | no | — |
| 268 | SD16 | — | 40 | 2 | no | — |
| 269 | M16 | — | 2 | 4 | no | — |
| 270 | C2×C8 | — | 2 | 2 | no | — |
| 271 | C2×C8 | — | 2 | 2 | no | — |
| 272 | C2×C8 | — | 20 | 1 | no | — |
| 273 | C4⋊C4 | — | 10 | 1 | no | — |
| 274 | C4⋊C4 | — | 10 | 1 | no | — |
| 275 | C4⋊C4 | — | 10 | 2 | no | — |
| 276 | C4⋊C4 | — | 10 | 1 | no | — |
| 277 | C4⋊C4 | — | 10 | 2 | no | — |
| 278 | C4⋊C4 | — | 10 | 1 | no | — |
| 279 | C4⋊C4 | — | 20 | 1 | no | — |
| 280 | C4⋊C4 | — | 20 | 1 | no | — |
| 281 | C4⋊C4 | — | 20 | 1 | no | — |
| 282 | C4⋊C4 | — | 20 | 1 | no | — |
| 283 | C22⋊C4 | — | 20 | 1 | no | — |
| 284 | C22⋊C4 | — | 20 | 1 | no | — |
| 285 | C22⋊C4 | — | 20 | 1 | no | — |
| 286 | C22⋊C4 | — | 20 | 1 | no | — |
| 287 | C22⋊C4 | — | 20 | 1 | no | — |
| 288 | C22⋊C4 | — | 40 | 4 | no | — |
| 289 | C42 | — | 4 | 2 | no | — |
| 290 | C42 | — | 20 | 1 | no | — |
| 291 | C42 | C2×D20 | 1 | 1 | yes | characteristic |
| 292 | C42 | C2×D20 | 1 | 1 | yes | characteristic |
| 293 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 294 | C42 | #713 | 1 | 1 | yes | characteristic |
| 295 | C2×C5 | — | 2 | 2 | no | — |
| 296 | C2×C5 | #2004 | 1 | 1 | yes | characteristic |
| 297 | C2×C5 | #2005 | 1 | 1 | yes | characteristic |
| 298 | C2×C5 | #2008 | 1 | 1 | yes | characteristic |
| 299 | D5 | — | 16 | 1 | no | — |
| 300 | C23 | — | 20 | 2 | no | — |
| 301 | C23 | — | 20 | 2 | no | — |
| 302 | C23 | — | 20 | 2 | no | — |
| 303 | C23 | — | 20 | 1 | no | — |
| 304 | C23 | #4028 | 1 | 1 | yes | characteristic |
| 305 | Q8 | — | 20 | 2 | no | — |
| 306 | Q8 | — | 20 | 2 | no | — |
| 307 | Q8 | — | 40 | 1 | no | — |
| 308 | Q8 | — | 40 | 1 | no | — |
| 309 | Q8 | — | 40 | 2 | no | — |
| 310 | Q8 | — | 40 | 2 | no | — |
| 311 | D4 | — | 20 | 2 | no | — |
| 312 | D4 | — | 40 | 1 | no | — |
| 313 | C2×C4 | — | 2 | 2 | no | — |
| 314 | C2×C4 | — | 2 | 2 | no | — |
| 315 | C2×C4 | — | 4 | 1 | no | — |
| 316 | C2×C4 | — | 4 | 2 | no | — |
| 317 | C2×C4 | — | 4 | 2 | no | — |
| 318 | C2×C4 | — | 4 | 2 | no | — |
| 319 | C2×C4 | — | 20 | 4 | no | — |
| 320 | C2×C4 | — | 20 | 2 | no | — |
| 321 | C2×C4 | — | 20 | 1 | no | — |
| 322 | C2×C4 | — | 20 | 1 | no | — |
| 323 | C2×C4 | — | 20 | 1 | no | — |
| 324 | C2×C4 | — | 20 | 2 | no | — |
| 325 | C2×C4 | #4020 | 1 | 1 | yes | characteristic |
| 326 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | #4041 | 1 | 1 | yes | characteristic |
| 329 | C2×C4 | #4041 | 1 | 1 | yes | characteristic |
| 330 | C2×C4 | #4041 | 1 | 1 | yes | characteristic |
| 331 | C8 | — | 2 | 4 | no | — |
| 332 | C8 | — | 4 | 2 | no | — |
| 333 | C8 | — | 40 | 1 | no | — |
| 334 | C5 | #10100 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 335 | C22 | — | 2 | 1 | no | — |
| 336 | C22 | — | 2 | 1 | no | — |
| 337 | C22 | — | 40 | 4 | no | — |
| 338 | C22 | — | 40 | 1 | no | — |
| 339 | C22 | — | 40 | 1 | no | — |
| 340 | C22 | — | 40 | 1 | no | — |
| 341 | C22 | #64960 | 1 | 1 | yes | characteristic |
| 342 | C22 | #65115 | 1 | 2 | yes | — |
| 343 | C4 | — | 2 | 1 | no | — |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 2 | 1 | no | — |
| 346 | C4 | — | 2 | 1 | no | — |
| 347 | C4 | — | 2 | 1 | no | — |
| 348 | C4 | — | 8 | 2 | no | — |
| 349 | C4 | — | 40 | 1 | no | — |
| 350 | C4 | — | 40 | 1 | no | — |
| 351 | C4 | — | 40 | 2 | no | — |
| 352 | C4 | — | 40 | 1 | no | — |
| 353 | C4 | #65114 | 1 | 2 | yes | — |
| 354 | C2 | — | 2 | 2 | no | — |
| 355 | C2 | — | 80 | 1 | no | — |
| 356 | C2 | #10599555 | 1 | 1 | yes | characteristic |
| 357 | C2 | #10599561 | 1 | 1 | yes | characteristic |
| 358 | C2 | #10599821 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10610237 | C2 | semidirect |
| 4. #10601615 | C2 | semidirect |
| 6. #10600226 | C2 | semidirect |
| 7. C5×#1300 | C2 | semidirect |
| 82. #1300 | D5 | semidirect |
| 334. C5 | #10100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611082 | 2 |
| #10610237 | 2 |
| #10605159 | 2 |
| #10601615 | 2 |
| #10600653 | 2 |
| #10600226 | 2 |
| C5×#1300 | 2 |
| #10100 | 5 |