Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 90 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 | #13131805 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131145 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13130719 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13129903 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13124482 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×D8×D13 | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×#88161 | C22 | 1 | 1 | yes | characteristic |
| 8 | #11719312 | — | 2 | 1 | no | — |
| 9 | #11719116 | — | 2 | 1 | no | — |
| 10 | C2×#88106 | — | 2 | 1 | no | — |
| 11 | #11719096 | — | 2 | 4 | no | — |
| 12 | #11719092 | C22 | 1 | 2 | yes | — |
| 13 | D13⋊M32 | — | 2 | 1 | no | — |
| 14 | D13⋊M32 | C22 | 1 | 2 | yes | — |
| 15 | C13×#469 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #11718820 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11718796 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #11718699 | — | 2 | 1 | no | — |
| 19 | #11718526 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11718521 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11718436 | — | 2 | 1 | no | — |
| 22 | #11718431 | — | 2 | 1 | no | — |
| 23 | #11718276 | — | 2 | 4 | no | — |
| 24 | #11718267 | — | 2 | 1 | no | — |
| 25 | C2×D4×D13 | — | 2 | 1 | no | — |
| 26 | C2×#6127 | D4 | 1 | 1 | yes | characteristic |
| 27 | #88237 | — | 2 | 2 | no | — |
| 28 | C2×C13×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C13×#121 | — | 2 | 1 | no | — |
| 31 | #88194 | — | 4 | 1 | no | — |
| 32 | #88192 | — | 2 | 1 | no | — |
| 33 | #88191 | — | 4 | 1 | no | — |
| 34 | C2×#6104 | — | 2 | 1 | no | — |
| 35 | #88184 | — | 2 | 1 | no | — |
| 36 | C22×#1055 | D4 | 1 | 1 | yes | characteristic |
| 37 | D8×D13 | — | 2 | 2 | no | — |
| 38 | D8×D13 | — | 2 | 2 | no | — |
| 39 | #88161 | — | 2 | 2 | no | — |
| 40 | #88161 | — | 2 | 2 | no | — |
| 41 | C2×D104 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C2×#6094 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×#6094 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×C8×D13 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C8×D13 | C23 | 1 | 1 | yes | characteristic |
| 46 | #88149 | — | 2 | 1 | no | — |
| 47 | #88146 | — | 2 | 1 | no | — |
| 48 | #88139 | — | 4 | 1 | no | — |
| 49 | #88136 | — | 4 | 1 | no | — |
| 50 | #88119 | — | 4 | 1 | no | — |
| 51 | #88107 | — | 4 | 1 | no | — |
| 52 | #88106 | — | 2 | 2 | no | — |
| 53 | #88106 | — | 2 | 2 | no | — |
| 54 | C2×#6092 | — | 2 | 2 | no | — |
| 55 | #88102 | — | 2 | 2 | no | — |
| 56 | #88101 | — | 2 | 2 | no | — |
| 57 | #88098 | — | 2 | 2 | no | — |
| 58 | #88098 | — | 2 | 2 | no | — |
| 59 | D13⋊C16 | — | 2 | 2 | no | — |
| 60 | D13⋊C16 | D4 | 1 | 4 | yes | complemented |
| 61 | C13×#106 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C13×#102 | — | 2 | 1 | no | — |
| 63 | #88072 | — | 2 | 1 | no | — |
| 64 | #88061 | — | 2 | 1 | no | — |
| 65 | #88057 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | #88049 | — | 2 | 1 | no | — |
| 67 | #88047 | — | 2 | 1 | no | — |
| 68 | #13074 | — | 13 | 1 | no | maximal, Sylow |
| 69 | C23×D13 | — | 4 | 1 | no | — |
| 70 | C2×D4×C13 | — | 2 | 1 | no | — |
| 71 | C2×D4×C13 | — | 4 | 1 | no | — |
| 72 | C22×C4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 73 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 74 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 75 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 76 | C2×C22⋊D13 | D8 | 1 | 1 | yes | characteristic |
| 77 | C2×C22⋊D13 | SD16 | 1 | 1 | yes | characteristic |
| 78 | D4×D13 | — | 4 | 2 | no | — |
| 79 | D4×D13 | — | 4 | 2 | no | — |
| 80 | #6127 | — | 2 | 2 | no | — |
| 81 | #6127 | — | 2 | 2 | no | — |
| 82 | C2×D52 | — | 2 | 1 | no | — |
| 83 | C2×D52 | — | 4 | 1 | no | — |
| 84 | C2×D52 | D8 | 1 | 1 | yes | characteristic |
| 85 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C2×Dic26 | SD16 | 1 | 1 | yes | characteristic |
| 88 | C22⋊#261 | — | 4 | 2 | no | — |
| 89 | C4⋊#261 | — | 4 | 2 | no | — |
| 90 | C4×#261 | — | 4 | 2 | no | — |
| 91 | C13×D8 | — | 2 | 2 | no | — |
| 92 | C13×M16 | — | 2 | 2 | no | — |
| 93 | C2×C8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 94 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 95 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 96 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 97 | C22⋊Dic13 | — | 4 | 1 | no | — |
| 98 | #6104 | — | 4 | 1 | no | — |
| 99 | #6104 | — | 4 | 1 | no | — |
| 100 | #6103 | — | 4 | 1 | no | — |
| 101 | #6103 | — | 4 | 1 | no | — |
| 102 | #6103 | — | 4 | 1 | no | — |
| 103 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 104 | C4×Dic13 | — | 4 | 1 | no | — |
| 105 | C2×#1055 | — | 2 | 1 | no | — |
| 106 | C2×#1055 | — | 2 | 1 | no | — |
| 107 | C2×#1055 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 108 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | D104 | — | 2 | 2 | no | — |
| 110 | #6094 | — | 2 | 2 | no | — |
| 111 | #6094 | — | 2 | 2 | no | — |
| 112 | C8×D13 | — | 2 | 1 | no | — |
| 113 | C8×D13 | — | 2 | 1 | no | — |
| 114 | C8×D13 | C2×D4 | 1 | 2 | yes | — |
| 115 | C8×D13 | #41 | 1 | 2 | yes | — |
| 116 | #6092 | — | 2 | 4 | no | — |
| 117 | #3407 | — | 13 | 1 | no | — |
| 118 | #3058 | — | 13 | 1 | no | — |
| 119 | #2140 | — | 13 | 2 | no | — |
| 120 | #1812 | — | 13 | 1 | no | — |
| 121 | #1384 | — | 13 | 2 | no | — |
| 122 | C23×C13 | — | 4 | 1 | no | — |
| 123 | C23×C13 | #102 | 1 | 1 | yes | characteristic |
| 124 | C22×D13 | — | 4 | 1 | no | — |
| 125 | C22×D13 | — | 8 | 2 | no | — |
| 126 | C22×D13 | — | 16 | 1 | no | — |
| 127 | C22×D13 | — | 16 | 1 | no | — |
| 128 | C22×D13 | #102 | 1 | 1 | yes | characteristic |
| 129 | C22×D13 | C2×D8 | 1 | 1 | yes | characteristic |
| 130 | C2×#261 | — | 8 | 2 | no | — |
| 131 | D4×C13 | — | 4 | 1 | no | — |
| 132 | D4×C13 | — | 4 | 1 | no | — |
| 133 | D4×C13 | — | 16 | 1 | no | — |
| 134 | C2×C4×C13 | — | 2 | 1 | no | — |
| 135 | C2×C4×C13 | — | 2 | 1 | no | — |
| 136 | C2×C4×C13 | — | 4 | 1 | no | — |
| 137 | C2×C4×C13 | #102 | 1 | 1 | yes | characteristic |
| 138 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 139 | C22⋊D13 | — | 2 | 2 | no | — |
| 140 | C22⋊D13 | — | 2 | 2 | no | — |
| 141 | C22⋊D13 | — | 8 | 2 | no | — |
| 142 | C22⋊D13 | — | 16 | 1 | no | — |
| 143 | C22⋊D13 | — | 16 | 1 | no | — |
| 144 | C2×Dic13 | — | 4 | 1 | no | — |
| 145 | C2×Dic13 | #102 | 1 | 1 | yes | characteristic |
| 146 | C2×Dic13 | C2×SD16 | 1 | 1 | yes | characteristic |
| 147 | D52 | — | 2 | 2 | no | — |
| 148 | D52 | — | 4 | 1 | no | — |
| 149 | D52 | — | 4 | 1 | no | — |
| 150 | D52 | — | 16 | 1 | no | — |
| 151 | C4×D13 | — | 2 | 1 | no | — |
| 152 | C4×D13 | — | 2 | 1 | no | — |
| 153 | C4×D13 | #121 | 1 | 2 | yes | — |
| 154 | C4×D13 | #135 | 1 | 2 | yes | — |
| 155 | Dic26 | — | 2 | 2 | no | — |
| 156 | C8×C13 | — | 2 | 1 | no | — |
| 157 | C8×C13 | C4×D4 | 1 | 2 | yes | — |
| 158 | #1055 | — | 2 | 1 | no | — |
| 159 | #1055 | #120 | 1 | 1 | yes | characteristic |
| 160 | #1055 | #123 | 1 | 1 | yes | characteristic |
| 161 | C22×D8 | — | 13 | 1 | no | — |
| 162 | C2×#131 | — | 13 | 1 | no | — |
| 163 | #535 | — | 26 | 1 | no | — |
| 164 | #504 | — | 26 | 4 | no | — |
| 165 | C2×M32 | — | 13 | 2 | no | — |
| 166 | C2×M32 | — | 26 | 1 | no | — |
| 167 | C2×M32 | — | 26 | 1 | no | — |
| 168 | #469 | — | 13 | 1 | no | — |
| 169 | #469 | — | 13 | 1 | no | — |
| 170 | #469 | — | 13 | 1 | no | — |
| 171 | #469 | #261 | 1 | 1 | yes | characteristic, complemented |
| 172 | #466 | — | 26 | 1 | no | — |
| 173 | #466 | — | 26 | 1 | no | — |
| 174 | #427 | — | 13 | 1 | no | — |
| 175 | #427 | — | 13 | 2 | no | — |
| 176 | #418 | — | 26 | 1 | no | — |
| 177 | #410 | — | 26 | 1 | no | — |
| 178 | #357 | — | 26 | 4 | no | — |
| 179 | H(3,ℤ/4) | — | 26 | 1 | no | — |
| 180 | C22×C13 | — | 2 | 1 | no | — |
| 181 | C22×C13 | — | 4 | 1 | no | — |
| 182 | C22×C13 | — | 8 | 1 | no | — |
| 183 | C22×C13 | — | 8 | 1 | no | — |
| 184 | C22×C13 | — | 8 | 1 | no | — |
| 185 | C22×C13 | C2×#102 | 1 | 1 | yes | characteristic |
| 186 | C2×D13 | — | 2 | 1 | no | — |
| 187 | C2×D13 | — | 4 | 1 | no | — |
| 188 | C2×D13 | — | 4 | 1 | no | — |
| 189 | C2×D13 | — | 8 | 1 | no | — |
| 190 | C2×D13 | — | 8 | 1 | no | — |
| 191 | C2×D13 | — | 8 | 1 | no | — |
| 192 | C2×D13 | — | 16 | 4 | no | — |
| 193 | C2×D13 | #466 | 1 | 2 | yes | — |
| 194 | #261 | — | 16 | 2 | no | — |
| 195 | C4×C13 | — | 2 | 1 | no | — |
| 196 | C4×C13 | — | 8 | 1 | no | — |
| 197 | C4×C13 | #386 | 1 | 1 | yes | characteristic |
| 198 | C4×C13 | #416 | 1 | 1 | yes | characteristic |
| 199 | Dic13 | — | 2 | 1 | no | — |
| 200 | Dic13 | — | 8 | 1 | no | — |
| 201 | Dic13 | #465 | 1 | 2 | yes | — |
| 202 | C2×#41 | — | 13 | 1 | no | — |
| 203 | C22×D4 | — | 26 | 1 | no | — |
| 204 | C2×D8 | — | 13 | 1 | no | — |
| 205 | C2×D8 | — | 26 | 2 | no | — |
| 206 | C2×D8 | — | 26 | 2 | no | — |
| 207 | C2×D8 | — | 26 | 1 | no | — |
| 208 | C2×D8 | C2×#261 | 1 | 1 | yes | characteristic |
| 209 | #131 | — | 26 | 2 | no | — |
| 210 | #131 | — | 26 | 2 | no | — |
| 211 | C2×M16 | — | 13 | 1 | no | — |
| 212 | C2×M16 | — | 13 | 1 | no | — |
| 213 | C2×M16 | C2×#261 | 1 | 1 | yes | characteristic |
| 214 | C22×C8 | — | 13 | 1 | no | — |
| 215 | C22×C8 | — | 13 | 1 | no | — |
| 216 | C22×C8 | — | 13 | 1 | no | — |
| 217 | #127 | — | 52 | 1 | no | — |
| 218 | #124 | — | 52 | 1 | no | — |
| 219 | #121 | — | 2 | 1 | no | — |
| 220 | #121 | — | 26 | 1 | no | — |
| 221 | #121 | — | 26 | 1 | no | — |
| 222 | #121 | — | 26 | 1 | no | — |
| 223 | #120 | — | 52 | 1 | no | — |
| 224 | #120 | — | 52 | 1 | no | — |
| 225 | #117 | — | 26 | 1 | no | — |
| 226 | #117 | — | 26 | 2 | no | — |
| 227 | M32 | — | 26 | 2 | no | — |
| 228 | M32 | — | 26 | 2 | no | — |
| 229 | M32 | — | 26 | 2 | no | — |
| 230 | M32 | — | 26 | 2 | no | — |
| 231 | C2×C16 | — | 13 | 4 | no | — |
| 232 | C2×C16 | — | 26 | 2 | no | — |
| 233 | C2×C16 | — | 26 | 2 | no | — |
| 234 | #107 | — | 26 | 1 | no | — |
| 235 | #107 | — | 26 | 2 | no | — |
| 236 | #106 | — | 13 | 1 | no | — |
| 237 | #106 | — | 26 | 2 | no | — |
| 238 | #106 | C2×#261 | 1 | 1 | yes | characteristic |
| 239 | #102 | — | 2 | 1 | no | — |
| 240 | #102 | — | 26 | 1 | no | — |
| 241 | #102 | — | 26 | 1 | no | — |
| 242 | #102 | — | 26 | 1 | no | — |
| 243 | #99 | — | 52 | 1 | no | — |
| 244 | #99 | — | 52 | 1 | no | — |
| 245 | C2×C13 | — | 2 | 1 | no | — |
| 246 | C2×C13 | — | 4 | 1 | no | — |
| 247 | C2×C13 | — | 16 | 1 | no | — |
| 248 | C2×C13 | #1893 | 1 | 1 | yes | characteristic |
| 249 | D13 | — | 2 | 2 | no | — |
| 250 | D13 | — | 4 | 1 | no | — |
| 251 | D13 | — | 16 | 1 | no | — |
| 252 | C24 | — | 52 | 1 | no | — |
| 253 | #41 | — | 26 | 2 | no | — |
| 254 | #41 | — | 26 | 2 | no | — |
| 255 | C2×Q8 | — | 13 | 1 | no | — |
| 256 | C2×D4 | — | 2 | 1 | no | — |
| 257 | C2×D4 | — | 4 | 1 | no | — |
| 258 | C2×D4 | — | 13 | 1 | no | — |
| 259 | C2×D4 | — | 13 | 1 | no | — |
| 260 | C2×D4 | — | 13 | 1 | no | — |
| 261 | C2×D4 | — | 26 | 1 | no | — |
| 262 | C2×D4 | — | 52 | 1 | no | — |
| 263 | C2×D4 | — | 52 | 2 | no | — |
| 264 | C2×D4 | — | 52 | 2 | no | — |
| 265 | C2×D4 | — | 52 | 1 | no | — |
| 266 | C2×D4 | — | 52 | 1 | no | — |
| 267 | C2×D4 | — | 52 | 1 | no | — |
| 268 | C22×C4 | — | 13 | 1 | no | — |
| 269 | C22×C4 | — | 13 | 1 | no | — |
| 270 | C22×C4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 271 | D8 | — | 2 | 2 | no | — |
| 272 | D8 | — | 26 | 2 | no | — |
| 273 | D8 | — | 52 | 1 | no | — |
| 274 | D8 | — | 52 | 1 | no | — |
| 275 | M16 | — | 2 | 2 | no | — |
| 276 | M16 | — | 26 | 2 | no | — |
| 277 | M16 | — | 26 | 2 | no | — |
| 278 | C2×C8 | — | 13 | 1 | no | — |
| 279 | C2×C8 | — | 13 | 2 | no | — |
| 280 | C2×C8 | — | 13 | 2 | no | — |
| 281 | C2×C8 | — | 13 | 1 | no | — |
| 282 | C2×C8 | — | 26 | 1 | no | — |
| 283 | C2×C8 | — | 26 | 1 | no | — |
| 284 | C2×C8 | — | 26 | 1 | no | — |
| 285 | C2×C8 | — | 26 | 1 | no | — |
| 286 | C2×C8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 287 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 288 | C4⋊C4 | — | 2 | 1 | no | — |
| 289 | C4⋊C4 | — | 26 | 1 | no | — |
| 290 | C4⋊C4 | — | 52 | 2 | no | — |
| 291 | C22⋊C4 | — | 4 | 1 | no | — |
| 292 | C22⋊C4 | — | 52 | 1 | no | — |
| 293 | C22⋊C4 | — | 52 | 1 | no | — |
| 294 | C22⋊C4 | — | 52 | 1 | no | — |
| 295 | C22⋊C4 | — | 52 | 1 | no | — |
| 296 | C22⋊C4 | — | 52 | 2 | no | — |
| 297 | C42 | — | 52 | 1 | no | — |
| 298 | C42 | — | 52 | 2 | no | — |
| 299 | C16 | — | 26 | 4 | no | — |
| 300 | C13 | #13074 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 301 | C23 | — | 4 | 1 | no | — |
| 302 | C23 | — | 13 | 1 | no | — |
| 303 | C23 | — | 13 | 1 | no | — |
| 304 | C23 | — | 52 | 1 | no | — |
| 305 | C23 | — | 104 | 2 | no | — |
| 306 | C23 | — | 208 | 1 | no | — |
| 307 | C23 | — | 208 | 1 | no | — |
| 308 | C23 | #88115 | 1 | 1 | yes | characteristic |
| 309 | Q8 | — | 26 | 2 | no | — |
| 310 | D4 | — | 4 | 1 | no | — |
| 311 | D4 | — | 4 | 1 | no | — |
| 312 | D4 | — | 16 | 1 | no | — |
| 313 | D4 | — | 26 | 2 | no | — |
| 314 | D4 | — | 26 | 2 | no | — |
| 315 | D4 | — | 26 | 2 | no | — |
| 316 | D4 | — | 52 | 1 | no | — |
| 317 | D4 | — | 52 | 1 | no | — |
| 318 | D4 | — | 104 | 2 | no | — |
| 319 | D4 | — | 208 | 1 | no | — |
| 320 | D4 | — | 208 | 1 | no | — |
| 321 | D4 | — | 208 | 1 | no | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 2 | 1 | no | — |
| 324 | C2×C4 | — | 4 | 1 | no | — |
| 325 | C2×C4 | — | 13 | 1 | no | — |
| 326 | C2×C4 | — | 13 | 2 | no | — |
| 327 | C2×C4 | — | 13 | 2 | no | — |
| 328 | C2×C4 | — | 13 | 1 | no | — |
| 329 | C2×C4 | — | 26 | 1 | no | — |
| 330 | C2×C4 | — | 26 | 1 | no | — |
| 331 | C2×C4 | — | 52 | 1 | no | — |
| 332 | C2×C4 | — | 104 | 2 | no | — |
| 333 | C2×C4 | #88115 | 1 | 1 | yes | characteristic |
| 334 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 335 | C8 | — | 2 | 1 | no | — |
| 336 | C8 | — | 13 | 1 | no | — |
| 337 | C8 | — | 13 | 1 | no | — |
| 338 | C8 | — | 26 | 1 | no | — |
| 339 | C8 | D4×#261 | 1 | 2 | yes | — |
| 340 | C22 | — | 2 | 1 | no | — |
| 341 | C22 | — | 4 | 1 | no | — |
| 342 | C22 | — | 8 | 1 | no | — |
| 343 | C22 | — | 8 | 1 | no | — |
| 344 | C22 | — | 8 | 1 | no | — |
| 345 | C22 | — | 13 | 2 | no | — |
| 346 | C22 | — | 26 | 1 | no | — |
| 347 | C22 | — | 52 | 1 | no | — |
| 348 | C22 | — | 52 | 1 | no | — |
| 349 | C22 | — | 104 | 1 | no | — |
| 350 | C22 | — | 104 | 1 | no | — |
| 351 | C22 | — | 104 | 1 | no | — |
| 352 | C22 | — | 208 | 4 | no | — |
| 353 | C22 | C2×#88115 | 1 | 1 | yes | characteristic |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 8 | 1 | no | — |
| 356 | C4 | — | 13 | 2 | no | — |
| 357 | C4 | — | 26 | 1 | no | — |
| 358 | C4 | — | 104 | 1 | no | — |
| 359 | C4 | — | 208 | 2 | no | — |
| 360 | C4 | #11719150 | 1 | 1 | yes | characteristic |
| 361 | C4 | #11719165 | 1 | 1 | yes | characteristic |
| 362 | C2 | — | 2 | 1 | no | — |
| 363 | C2 | — | 4 | 1 | no | — |
| 364 | C2 | — | 16 | 1 | no | — |
| 365 | C2 | — | 26 | 2 | no | — |
| 366 | C2 | — | 52 | 1 | no | — |
| 367 | C2 | — | 208 | 1 | no | — |
| 368 | C2 | #13130850 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131805 | C2 | semidirect |
| 2. #13131145 | C2 | semidirect |
| 3. #13130719 | C2 | semidirect |
| 4. #13129903 | C2 | semidirect |
| 15. C13×#469 | C4 | semidirect |
| 16. #11718820 | C4 | semidirect |
| 17. #11718796 | C4 | semidirect |
| 19. #11718526 | C4 | semidirect |
| 60. D13⋊C16 | D4 | semidirect |
| 171. #469 | #261 | semidirect |
| 300. C13 | #13074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131805 | 2 |
| #13131145 | 2 |
| #13130719 | 2 |
| #13129903 | 2 |
| #13124482 | 2 |
| #13074 | 13 |