Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
814 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 159 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 | #13125575 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13125575 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13125294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13125231 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13114502 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13114494 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13114478 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13114443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13114438 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13113140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C13×#1716 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#88172 | — | 2 | 2 | no | — |
| 13 | #11719430 | C22 | 1 | 2 | yes | — |
| 14 | #11719430 | C22 | 1 | 1 | yes | characteristic |
| 15 | D13×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 16 | C13×#498 | C22 | 1 | 1 | yes | characteristic |
| 17 | C13×#498 | C22 | 1 | 2 | yes | — |
| 18 | C13×#494 | C22 | 1 | 1 | yes | characteristic |
| 19 | C13×#487 | C22 | 1 | 2 | yes | — |
| 20 | #11718851 | — | 2 | 2 | no | — |
| 21 | #11718753 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11718749 | C22 | 1 | 2 | yes | — |
| 23 | #11718749 | C22 | 1 | 2 | yes | — |
| 24 | #11718749 | C22 | 1 | 2 | yes | — |
| 25 | #11718749 | C22 | 1 | 2 | yes | — |
| 26 | #11718746 | C22 | 1 | 1 | yes | characteristic |
| 27 | #11718742 | C22 | 1 | 2 | yes | — |
| 28 | #11718530 | — | 2 | 4 | no | — |
| 29 | #11718530 | — | 2 | 2 | no | — |
| 30 | #11718526 | — | 2 | 2 | no | — |
| 31 | #11718526 | — | 2 | 4 | no | — |
| 32 | #11718464 | — | 2 | 4 | no | — |
| 33 | #11718456 | — | 2 | 4 | no | — |
| 34 | #11718356 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11718356 | C22 | 1 | 2 | yes | — |
| 36 | #11718355 | C22 | 1 | 2 | yes | — |
| 37 | #11718354 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×#6094 | C22 | 1 | 2 | yes | — |
| 39 | C4×#6094 | C22 | 1 | 1 | yes | characteristic |
| 40 | C13×#322 | C22 | 1 | 1 | yes | characteristic |
| 41 | #11718046 | C22 | 1 | 2 | yes | — |
| 42 | C8×#1055 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#6131 | — | 2 | 1 | no | — |
| 44 | C2×#6131 | — | 2 | 2 | no | — |
| 45 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 46 | C2×C13×Q16 | — | 2 | 2 | no | — |
| 47 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 48 | C13×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 49 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 50 | #88201 | — | 2 | 2 | no | — |
| 51 | #88201 | — | 2 | 1 | no | — |
| 52 | #88198 | — | 2 | 1 | no | — |
| 53 | C2×#6107 | — | 2 | 2 | no | — |
| 54 | C2×#6106 | — | 2 | 2 | no | — |
| 55 | #88172 | — | 4 | 8 | no | — |
| 56 | C2×D104 | — | 2 | 4 | no | — |
| 57 | C2×D104 | — | 2 | 2 | no | — |
| 58 | C2×#6095 | — | 2 | 2 | no | — |
| 59 | C2×#6094 | D4 | 1 | 2 | yes | — |
| 60 | C2×#6094 | D4 | 1 | 4 | yes | — |
| 61 | #88149 | — | 2 | 2 | no | — |
| 62 | #88149 | — | 2 | 2 | no | — |
| 63 | #88149 | — | 2 | 2 | no | — |
| 64 | #88147 | — | 2 | 2 | no | — |
| 65 | #88147 | — | 2 | 2 | no | — |
| 66 | #88147 | — | 2 | 2 | no | — |
| 67 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 68 | #88142 | — | 2 | 2 | no | — |
| 69 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 70 | #88128 | C23 | 1 | 2 | yes | — |
| 71 | C42×D13 | C23 | 1 | 1 | yes | characteristic |
| 72 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 73 | C13×#106 | — | 2 | 4 | no | — |
| 74 | C13×#106 | — | 2 | 2 | no | — |
| 75 | C13×#103 | — | 2 | 4 | no | — |
| 76 | C4×C8×C13 | C23 | 1 | 2 | yes | — |
| 77 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 78 | #88075 | — | 2 | 4 | no | — |
| 79 | #88061 | — | 2 | 4 | no | — |
| 80 | #88055 | D4 | 1 | 4 | yes | — |
| 81 | #88055 | D4 | 1 | 2 | yes | — |
| 82 | #88049 | — | 2 | 4 | no | — |
| 83 | #88049 | — | 2 | 4 | no | — |
| 84 | #88049 | — | 2 | 4 | no | — |
| 85 | #88049 | — | 2 | 4 | no | — |
| 86 | C4×#1055 | C23 | 1 | 2 | yes | — |
| 87 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 88 | #19750 | — | 13 | 1 | no | maximal, Sylow |
| 89 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 90 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 91 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 92 | #6131 | — | 4 | 4 | no | — |
| 93 | #6131 | — | 4 | 8 | no | — |
| 94 | Q8×D13 | — | 4 | 4 | no | — |
| 95 | C2×D52 | — | 2 | 2 | no | — |
| 96 | C2×D52 | — | 2 | 2 | no | — |
| 97 | C2×D52 | — | 2 | 2 | no | — |
| 98 | C2×D52 | — | 2 | 1 | no | — |
| 99 | C2×D52 | — | 2 | 2 | no | — |
| 100 | C2×D52 | — | 4 | 1 | no | — |
| 101 | C2×D52 | — | 4 | 2 | no | — |
| 102 | C2×C4×D13 | — | 4 | 1 | no | — |
| 103 | C2×C4×D13 | — | 4 | 2 | no | — |
| 104 | C2×C4×D13 | — | 4 | 1 | no | — |
| 105 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 106 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C2×Dic26 | — | 2 | 1 | no | — |
| 108 | C2×Dic26 | — | 4 | 1 | no | — |
| 109 | C13×Q16 | — | 4 | 4 | no | — |
| 110 | C2×C8×C13 | C2×D4 | 1 | 4 | yes | — |
| 111 | C2×C8×C13 | C2×D4 | 1 | 2 | yes | — |
| 112 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 113 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 114 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 115 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 116 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 117 | #6107 | — | 4 | 4 | no | — |
| 118 | #6106 | — | 4 | 4 | no | — |
| 119 | #6103 | — | 4 | 2 | no | — |
| 120 | #6103 | — | 4 | 2 | no | — |
| 121 | #6103 | — | 4 | 2 | no | — |
| 122 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 123 | #6101 | — | 4 | 2 | no | — |
| 124 | C4×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 125 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×#1055 | C2×D4 | 1 | 4 | yes | — |
| 127 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 128 | D104 | — | 4 | 8 | no | — |
| 129 | D104 | — | 4 | 4 | no | — |
| 130 | #6095 | — | 4 | 4 | no | — |
| 131 | #6094 | — | 2 | 4 | no | — |
| 132 | #6094 | — | 4 | 4 | no | — |
| 133 | #3184 | — | 13 | 1 | no | — |
| 134 | #3184 | — | 13 | 2 | no | — |
| 135 | #3152 | — | 13 | 1 | no | — |
| 136 | #3141 | — | 13 | 2 | no | — |
| 137 | #1721 | — | 13 | 1 | no | — |
| 138 | #1720 | — | 13 | 2 | no | — |
| 139 | #1717 | — | 13 | 2 | no | — |
| 140 | #1716 | D13 | 1 | 1 | yes | characteristic, complemented |
| 141 | #1709 | — | 13 | 1 | no | — |
| 142 | #1708 | — | 13 | 1 | no | — |
| 143 | #1455 | — | 13 | 1 | no | — |
| 144 | C22×D13 | — | 4 | 1 | no | — |
| 145 | C22×D13 | — | 4 | 2 | no | — |
| 146 | C22×D13 | #127 | 1 | 1 | yes | characteristic |
| 147 | Q8×C13 | — | 4 | 2 | no | — |
| 148 | Q8×C13 | — | 4 | 2 | no | — |
| 149 | Q8×C13 | — | 4 | 4 | no | — |
| 150 | C2×C4×C13 | — | 4 | 1 | no | — |
| 151 | C2×C4×C13 | — | 4 | 1 | no | — |
| 152 | C2×C4×C13 | — | 4 | 2 | no | — |
| 153 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 155 | C2×Dic13 | — | 4 | 1 | no | — |
| 156 | C2×Dic13 | #127 | 1 | 2 | yes | — |
| 157 | C2×Dic13 | #127 | 1 | 1 | yes | characteristic |
| 158 | D52 | — | 4 | 2 | no | — |
| 159 | D52 | — | 4 | 4 | no | — |
| 160 | D52 | — | 4 | 4 | no | — |
| 161 | D52 | — | 4 | 4 | no | — |
| 162 | D52 | — | 4 | 4 | no | — |
| 163 | D52 | — | 8 | 2 | no | — |
| 164 | D52 | — | 8 | 4 | no | — |
| 165 | C4×D13 | — | 2 | 2 | no | — |
| 166 | C4×D13 | — | 2 | 4 | no | — |
| 167 | C4×D13 | — | 8 | 2 | no | — |
| 168 | C4×D13 | — | 8 | 4 | no | — |
| 169 | C4×D13 | — | 8 | 2 | no | — |
| 170 | Dic26 | — | 4 | 2 | no | — |
| 171 | Dic26 | — | 8 | 2 | no | — |
| 172 | C8×C13 | — | 2 | 4 | no | — |
| 173 | C8×C13 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 174 | #1055 | — | 2 | 2 | no | — |
| 175 | #1055 | — | 2 | 4 | no | — |
| 176 | C2×#137 | — | 26 | 2 | no | — |
| 177 | #532 | — | 13 | 2 | no | — |
| 178 | #532 | — | 13 | 1 | no | — |
| 179 | C2×C4⋊Q8 | — | 13 | 1 | no | — |
| 180 | #498 | C2×D13 | 1 | 1 | yes | characteristic |
| 181 | #498 | C2×D13 | 1 | 2 | yes | — |
| 182 | #497 | — | 26 | 2 | no | — |
| 183 | #494 | — | 13 | 1 | no | — |
| 184 | #494 | C2×D13 | 1 | 1 | yes | characteristic |
| 185 | #493 | — | 13 | 1 | no | — |
| 186 | #493 | — | 13 | 2 | no | — |
| 187 | #492 | — | 13 | 1 | no | — |
| 188 | #492 | — | 13 | 1 | no | — |
| 189 | #489 | — | 26 | 4 | no | — |
| 190 | #487 | — | 13 | 2 | no | — |
| 191 | #487 | C2×D13 | 1 | 2 | yes | — |
| 192 | #486 | — | 13 | 2 | no | — |
| 193 | #486 | — | 13 | 2 | no | — |
| 194 | #486 | — | 13 | 2 | no | — |
| 195 | #486 | — | 13 | 2 | no | — |
| 196 | #486 | — | 13 | 2 | no | — |
| 197 | #469 | — | 26 | 2 | no | — |
| 198 | #469 | — | 26 | 4 | no | — |
| 199 | #442 | — | 26 | 4 | no | — |
| 200 | #442 | — | 26 | 2 | no | — |
| 201 | #417 | — | 26 | 4 | no | — |
| 202 | C4×M16 | — | 13 | 2 | no | — |
| 203 | C4×M16 | — | 13 | 1 | no | — |
| 204 | #322 | — | 13 | 2 | no | — |
| 205 | #322 | C2×D13 | 1 | 1 | yes | characteristic |
| 206 | C82 | — | 13 | 1 | no | — |
| 207 | C22×C13 | C2×#127 | 1 | 1 | yes | characteristic |
| 208 | C2×D13 | — | 2 | 1 | no | — |
| 209 | C2×D13 | — | 2 | 2 | no | — |
| 210 | C2×D13 | — | 8 | 1 | no | — |
| 211 | C2×D13 | — | 8 | 2 | no | — |
| 212 | C2×D13 | — | 8 | 2 | no | — |
| 213 | C2×D13 | — | 8 | 2 | no | — |
| 214 | C2×D13 | — | 8 | 2 | no | — |
| 215 | C4×C13 | — | 8 | 1 | no | — |
| 216 | C4×C13 | — | 8 | 1 | no | — |
| 217 | C4×C13 | — | 8 | 2 | no | — |
| 218 | C4×C13 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 219 | C4×C13 | #575 | 1 | 4 | yes | — |
| 220 | Dic13 | — | 2 | 1 | no | — |
| 221 | Dic13 | — | 2 | 2 | no | — |
| 222 | Dic13 | — | 8 | 1 | no | — |
| 223 | C2×#41 | — | 26 | 1 | no | — |
| 224 | C2×#41 | — | 26 | 2 | no | — |
| 225 | C22×Q8 | — | 26 | 1 | no | — |
| 226 | #137 | — | 52 | 8 | no | — |
| 227 | C2×Q16 | — | 2 | 2 | no | — |
| 228 | C2×Q16 | — | 26 | 2 | no | — |
| 229 | C2×SD16 | — | 26 | 2 | no | — |
| 230 | C2×SD16 | — | 26 | 2 | no | — |
| 231 | C2×D8 | — | 26 | 4 | no | — |
| 232 | C2×D8 | — | 26 | 2 | no | — |
| 233 | C2×M16 | — | 13 | 2 | no | — |
| 234 | C2×M16 | — | 13 | 4 | no | — |
| 235 | C4⋊Q8 | — | 13 | 1 | no | — |
| 236 | C4⋊Q8 | — | 26 | 2 | no | — |
| 237 | C4⋊Q8 | — | 26 | 1 | no | — |
| 238 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 239 | C4⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 240 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 241 | #127 | — | 13 | 2 | no | — |
| 242 | #127 | — | 13 | 1 | no | — |
| 243 | #124 | — | 26 | 2 | no | — |
| 244 | #124 | — | 26 | 1 | no | — |
| 245 | #121 | — | 26 | 2 | no | — |
| 246 | #121 | — | 26 | 2 | no | — |
| 247 | #121 | — | 26 | 2 | no | — |
| 248 | C4×D4 | — | 26 | 2 | no | — |
| 249 | C4×D4 | — | 26 | 2 | no | — |
| 250 | C4×D4 | — | 26 | 2 | no | — |
| 251 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 252 | C2×C42 | — | 13 | 1 | no | — |
| 253 | #106 | — | 2 | 4 | no | — |
| 254 | #106 | — | 2 | 2 | no | — |
| 255 | #103 | — | 2 | 4 | no | — |
| 256 | #103 | — | 26 | 4 | no | — |
| 257 | #102 | — | 26 | 4 | no | — |
| 258 | #102 | — | 26 | 4 | no | — |
| 259 | #102 | — | 26 | 4 | no | — |
| 260 | #102 | — | 26 | 4 | no | — |
| 261 | #102 | — | 26 | 4 | no | — |
| 262 | #97 | — | 13 | 4 | no | — |
| 263 | #97 | — | 13 | 2 | no | — |
| 264 | C4×C8 | — | 13 | 2 | no | — |
| 265 | C4×C8 | — | 13 | 1 | no | — |
| 266 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 267 | C4×C8 | C22×D13 | 1 | 2 | yes | — |
| 268 | C2×C13 | #3151 | 1 | 1 | yes | characteristic |
| 269 | C2×C13 | #3153 | 1 | 2 | yes | — |
| 270 | D13 | — | 4 | 1 | no | — |
| 271 | D13 | — | 16 | 1 | no | — |
| 272 | D13 | — | 16 | 2 | no | — |
| 273 | #41 | — | 52 | 4 | no | — |
| 274 | #41 | — | 52 | 8 | no | — |
| 275 | C2×Q8 | — | 2 | 2 | no | — |
| 276 | C2×Q8 | — | 2 | 1 | no | — |
| 277 | C2×Q8 | — | 2 | 1 | no | — |
| 278 | C2×Q8 | — | 26 | 1 | no | — |
| 279 | C2×Q8 | — | 52 | 1 | no | — |
| 280 | C2×Q8 | — | 52 | 4 | no | — |
| 281 | C2×D4 | — | 26 | 2 | no | — |
| 282 | C2×D4 | — | 26 | 2 | no | — |
| 283 | C2×D4 | — | 26 | 2 | no | — |
| 284 | C2×D4 | — | 26 | 2 | no | — |
| 285 | C2×D4 | — | 26 | 1 | no | — |
| 286 | C2×D4 | — | 52 | 1 | no | — |
| 287 | C2×D4 | — | 52 | 2 | no | — |
| 288 | C22×C4 | — | 13 | 2 | no | — |
| 289 | C22×C4 | — | 13 | 1 | no | — |
| 290 | C22×C4 | — | 52 | 2 | no | — |
| 291 | C22×C4 | — | 52 | 1 | no | — |
| 292 | C22×C4 | — | 52 | 1 | no | — |
| 293 | Q16 | — | 4 | 4 | no | — |
| 294 | Q16 | — | 52 | 4 | no | — |
| 295 | SD16 | — | 52 | 4 | no | — |
| 296 | SD16 | — | 52 | 4 | no | — |
| 297 | D8 | — | 52 | 8 | no | — |
| 298 | D8 | — | 52 | 4 | no | — |
| 299 | M16 | — | 26 | 4 | no | — |
| 300 | M16 | — | 52 | 4 | no | — |
| 301 | C2×C8 | — | 13 | 4 | no | — |
| 302 | C2×C8 | — | 13 | 2 | no | — |
| 303 | C2×C8 | D4×D13 | 1 | 4 | yes | — |
| 304 | C2×C8 | D4×D13 | 1 | 2 | yes | — |
| 305 | C4⋊C4 | — | 2 | 2 | no | — |
| 306 | C4⋊C4 | — | 2 | 2 | no | — |
| 307 | C4⋊C4 | — | 2 | 2 | no | — |
| 308 | C4⋊C4 | — | 2 | 2 | no | — |
| 309 | C4⋊C4 | — | 26 | 2 | no | — |
| 310 | C4⋊C4 | — | 52 | 2 | no | — |
| 311 | C22⋊C4 | — | 52 | 2 | no | — |
| 312 | C22⋊C4 | — | 52 | 2 | no | — |
| 313 | C22⋊C4 | — | 52 | 2 | no | — |
| 314 | C42 | — | 13 | 1 | no | — |
| 315 | C42 | — | 13 | 2 | no | — |
| 316 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 317 | C13 | #19750 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 318 | C23 | — | 13 | 1 | no | — |
| 319 | C23 | — | 52 | 1 | no | — |
| 320 | C23 | — | 52 | 2 | no | — |
| 321 | Q8 | — | 4 | 2 | no | — |
| 322 | Q8 | — | 4 | 2 | no | — |
| 323 | Q8 | — | 4 | 4 | no | — |
| 324 | Q8 | — | 52 | 2 | no | — |
| 325 | Q8 | — | 104 | 2 | no | — |
| 326 | D4 | — | 52 | 4 | no | — |
| 327 | D4 | — | 52 | 2 | no | — |
| 328 | D4 | — | 52 | 4 | no | — |
| 329 | D4 | — | 52 | 4 | no | — |
| 330 | D4 | — | 52 | 4 | no | — |
| 331 | D4 | — | 104 | 2 | no | — |
| 332 | D4 | — | 104 | 4 | no | — |
| 333 | C2×C4 | — | 4 | 1 | no | — |
| 334 | C2×C4 | — | 4 | 2 | no | — |
| 335 | C2×C4 | — | 4 | 1 | no | — |
| 336 | C2×C4 | — | 13 | 2 | no | — |
| 337 | C2×C4 | — | 13 | 1 | no | — |
| 338 | C2×C4 | — | 26 | 2 | no | — |
| 339 | C2×C4 | — | 26 | 4 | no | — |
| 340 | C2×C4 | — | 52 | 1 | no | — |
| 341 | C2×C4 | — | 104 | 2 | no | — |
| 342 | C2×C4 | — | 104 | 4 | no | — |
| 343 | C2×C4 | — | 104 | 2 | no | — |
| 344 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 345 | C2×C4 | C2×D4×D13 | 1 | 2 | yes | — |
| 346 | C8 | — | 2 | 4 | no | — |
| 347 | C8 | — | 26 | 2 | no | — |
| 348 | C8 | — | 26 | 4 | no | — |
| 349 | C8 | #88168 | 1 | 4 | yes | — |
| 350 | C22 | — | 26 | 1 | no | — |
| 351 | C22 | — | 26 | 2 | no | — |
| 352 | C22 | — | 104 | 1 | no | — |
| 353 | C22 | — | 104 | 2 | no | — |
| 354 | C22 | — | 104 | 2 | no | — |
| 355 | C22 | — | 104 | 2 | no | — |
| 356 | C22 | — | 104 | 2 | no | — |
| 357 | C22 | D13×#127 | 1 | 1 | yes | characteristic |
| 358 | C4 | — | 8 | 1 | no | — |
| 359 | C4 | — | 8 | 1 | no | — |
| 360 | C4 | — | 8 | 2 | no | — |
| 361 | C4 | — | 26 | 1 | no | — |
| 362 | C4 | — | 26 | 2 | no | — |
| 363 | C4 | — | 104 | 1 | no | — |
| 364 | C4 | C2×#88168 | 1 | 2 | yes | — |
| 365 | C4 | #11719482 | 1 | 4 | yes | — |
| 366 | C2 | — | 52 | 1 | no | — |
| 367 | C2 | — | 208 | 1 | no | — |
| 368 | C2 | — | 208 | 2 | no | — |
| 369 | C2 | #13125283 | 1 | 1 | yes | characteristic |
| 370 | C2 | #13125299 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13125575 | C2 | semidirect |
| 2. #13125575 | C2 | semidirect |
| 3. #13125294 | C2 | semidirect |
| 4. #13125231 | C2 | semidirect |
| 5. #13114502 | C2 | semidirect |
| 6. #13114494 | C2 | semidirect |
| 7. #13114478 | C2 | semidirect |
| 8. #13114443 | C2 | semidirect |
| 9. #13114438 | C2 | semidirect |
| 10. #13113140 | C2 | semidirect |
| 11. C13×#1716 | C2 | semidirect |
| 140. #1716 | D13 | semidirect |
| 317. C13 | #19750 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125575 | 2 |
| #13125294 | 2 |
| #13125231 | 2 |
| #13114502 | 2 |
| #13114494 | 2 |
| #13114478 | 2 |
| #13114443 | 2 |
| #13114438 | 2 |
| #13113140 | 2 |
| C13×#1716 | 2 |
| #19750 | 13 |