Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 57 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 | #13122781 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13115880 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13113875 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13113872 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13112862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13112767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#1353 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#88162 | — | 2 | 1 | no | — |
| 9 | #11719215 | C22 | 1 | 1 | yes | characteristic |
| 10 | C13×#400 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#88065 | — | 2 | 1 | no | — |
| 12 | #11718650 | — | 2 | 1 | no | — |
| 13 | #11718649 | C22 | 1 | 1 | yes | characteristic |
| 14 | #11718647 | C22 | 1 | 1 | yes | characteristic |
| 15 | #11718629 | — | 2 | 1 | no | — |
| 16 | #11718396 | — | 2 | 1 | no | — |
| 17 | #11718334 | — | 2 | 1 | no | — |
| 18 | #11718334 | — | 2 | 1 | no | — |
| 19 | #11718329 | — | 2 | 1 | no | — |
| 20 | #11718326 | — | 2 | 1 | no | — |
| 21 | #11718307 | — | 2 | 1 | no | — |
| 22 | C13×#343 | C22 | 1 | 1 | yes | characteristic |
| 23 | C13×#324 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11718120 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11718062 | — | 2 | 1 | no | — |
| 26 | #11718043 | — | 2 | 1 | no | — |
| 27 | C2×#6127 | — | 2 | 1 | no | — |
| 28 | C22×D52 | D4 | 1 | 1 | yes | characteristic |
| 29 | C22×C4×D13 | — | 2 | 1 | no | — |
| 30 | C22×Dic26 | — | 2 | 1 | no | — |
| 31 | C2×C13×M16 | — | 2 | 1 | no | — |
| 32 | C2×C13×C4⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 33 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 34 | #88184 | — | 2 | 1 | no | — |
| 35 | #88184 | — | 2 | 1 | no | — |
| 36 | C2×#6103 | — | 2 | 1 | no | — |
| 37 | C2×#6103 | — | 2 | 1 | no | — |
| 38 | C2×#6103 | — | 2 | 1 | no | — |
| 39 | C2×#6103 | — | 2 | 1 | no | — |
| 40 | C2×#6103 | — | 2 | 1 | no | — |
| 41 | C2×C4⋊Dic13 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#6101 | — | 2 | 1 | no | — |
| 43 | C2×C4×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 44 | #88162 | — | 4 | 2 | no | — |
| 45 | #88162 | — | 4 | 2 | no | — |
| 46 | C2×D104 | — | 4 | 1 | no | — |
| 47 | C2×#6095 | — | 4 | 1 | no | — |
| 48 | #88151 | — | 4 | 1 | no | — |
| 49 | #88149 | — | 4 | 1 | no | — |
| 50 | C13×C22⋊C8 | — | 2 | 1 | no | — |
| 51 | C13×#95 | — | 2 | 1 | no | — |
| 52 | C13×#95 | — | 2 | 1 | no | — |
| 53 | C13×#95 | D4 | 1 | 1 | yes | characteristic |
| 54 | #88071 | — | 2 | 1 | no | — |
| 55 | #88071 | — | 2 | 1 | no | — |
| 56 | #88071 | — | 2 | 1 | no | — |
| 57 | #88071 | — | 2 | 1 | no | — |
| 58 | #88071 | D4 | 1 | 1 | yes | characteristic |
| 59 | C22⋊#1055 | — | 2 | 1 | no | — |
| 60 | #88065 | — | 4 | 2 | no | — |
| 61 | #88061 | — | 4 | 1 | no | — |
| 62 | #88057 | — | 4 | 1 | no | — |
| 63 | #88049 | — | 4 | 1 | no | — |
| 64 | #88048 | — | 4 | 1 | no | — |
| 65 | #12127 | — | 13 | 1 | no | maximal, Sylow |
| 66 | C23×D13 | — | 2 | 1 | no | — |
| 67 | C22×C4×C13 | — | 2 | 1 | no | — |
| 68 | C22×C4×C13 | — | 2 | 1 | no | — |
| 69 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 70 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 71 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 72 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 73 | C22×Dic13 | — | 2 | 1 | no | — |
| 74 | C22×Dic13 | — | 2 | 1 | no | — |
| 75 | C22×Dic13 | — | 2 | 1 | no | — |
| 76 | #6127 | — | 4 | 1 | no | — |
| 77 | #6127 | — | 4 | 1 | no | — |
| 78 | #6127 | — | 4 | 1 | no | — |
| 79 | #6127 | — | 4 | 1 | no | — |
| 80 | C2×D52 | — | 2 | 1 | no | — |
| 81 | C2×D52 | — | 2 | 1 | no | — |
| 82 | C2×D52 | — | 2 | 1 | no | — |
| 83 | C2×D52 | — | 2 | 1 | no | — |
| 84 | C2×D52 | — | 4 | 1 | no | — |
| 85 | C2×D52 | — | 4 | 1 | no | — |
| 86 | C2×D52 | SD16 | 1 | 2 | yes | — |
| 87 | C2×C4×D13 | — | 4 | 1 | no | — |
| 88 | C2×C4×D13 | — | 8 | 1 | no | — |
| 89 | C2×C4×D13 | — | 8 | 1 | no | — |
| 90 | C2×C4×D13 | — | 8 | 1 | no | — |
| 91 | C2×Dic26 | — | 2 | 1 | no | — |
| 92 | C2×Dic26 | — | 4 | 2 | no | — |
| 93 | C2×Dic26 | — | 8 | 1 | no | — |
| 94 | C2×Dic26 | — | 8 | 1 | no | — |
| 95 | C13×M16 | — | 2 | 2 | no | — |
| 96 | C13×M16 | — | 4 | 1 | no | — |
| 97 | C2×C8×C13 | — | 4 | 1 | no | — |
| 98 | C2×C8×C13 | — | 4 | 1 | no | — |
| 99 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 100 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 101 | #6103 | — | 4 | 2 | no | — |
| 102 | #6103 | — | 4 | 2 | no | — |
| 103 | #6103 | — | 4 | 1 | no | — |
| 104 | #6103 | — | 4 | 1 | no | — |
| 105 | #6103 | — | 8 | 1 | no | — |
| 106 | #6103 | — | 8 | 1 | no | — |
| 107 | #6103 | — | 8 | 1 | no | — |
| 108 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 109 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 110 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 111 | #6101 | — | 8 | 1 | no | — |
| 112 | C4×Dic13 | — | 4 | 1 | no | — |
| 113 | C2×#1055 | — | 4 | 1 | no | — |
| 114 | D104 | — | 4 | 4 | no | — |
| 115 | #6095 | — | 4 | 4 | no | — |
| 116 | #2804 | — | 13 | 1 | no | — |
| 117 | #2006 | — | 13 | 1 | no | — |
| 118 | #1616 | — | 13 | 1 | no | — |
| 119 | #1616 | — | 13 | 1 | no | — |
| 120 | #1353 | — | 13 | 1 | no | — |
| 121 | #1353 | D13 | 1 | 1 | yes | characteristic, complemented |
| 122 | #1318 | — | 13 | 1 | no | — |
| 123 | C23×C13 | #120 | 1 | 1 | yes | characteristic |
| 124 | C22×D13 | — | 2 | 2 | no | — |
| 125 | C22×D13 | — | 4 | 1 | no | — |
| 126 | C22×D13 | — | 4 | 1 | no | — |
| 127 | C22×D13 | — | 4 | 1 | no | — |
| 128 | C22×D13 | — | 4 | 1 | no | — |
| 129 | C22×D13 | — | 4 | 1 | no | — |
| 130 | C22×D13 | — | 4 | 1 | no | — |
| 131 | C22×D13 | — | 4 | 1 | no | — |
| 132 | C2×C4×C13 | — | 2 | 1 | no | — |
| 133 | C2×C4×C13 | — | 2 | 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 | — | 4 | 1 | no | — |
| 138 | C2×C4×C13 | — | 4 | 1 | no | — |
| 139 | C2×C4×C13 | — | 4 | 1 | no | — |
| 140 | C2×C4×C13 | — | 4 | 1 | no | — |
| 141 | C2×C4×C13 | — | 4 | 1 | no | — |
| 142 | C2×C4×C13 | — | 4 | 1 | no | — |
| 143 | C2×C4×C13 | — | 4 | 1 | no | — |
| 144 | C2×C4×C13 | C2×SD16 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C13 | #137 | 1 | 1 | yes | characteristic |
| 146 | C22⋊D13 | — | 8 | 1 | no | — |
| 147 | C22⋊D13 | — | 8 | 1 | no | — |
| 148 | C2×Dic13 | — | 2 | 2 | no | — |
| 149 | C2×Dic13 | — | 4 | 1 | no | — |
| 150 | C2×Dic13 | — | 4 | 1 | no | — |
| 151 | C2×Dic13 | — | 4 | 1 | no | — |
| 152 | C2×Dic13 | — | 4 | 1 | no | — |
| 153 | C2×Dic13 | — | 4 | 1 | no | — |
| 154 | C2×Dic13 | — | 4 | 1 | no | — |
| 155 | C2×Dic13 | — | 4 | 1 | no | — |
| 156 | C2×Dic13 | — | 4 | 1 | no | — |
| 157 | C2×Dic13 | — | 4 | 1 | no | — |
| 158 | D52 | — | 4 | 2 | no | — |
| 159 | D52 | — | 4 | 1 | no | — |
| 160 | D52 | — | 4 | 1 | no | — |
| 161 | D52 | — | 8 | 1 | no | — |
| 162 | D52 | — | 8 | 1 | no | — |
| 163 | D52 | — | 8 | 1 | no | — |
| 164 | C4×D13 | — | 8 | 1 | no | — |
| 165 | C4×D13 | — | 8 | 1 | no | — |
| 166 | C4×D13 | — | 8 | 4 | no | — |
| 167 | Dic26 | — | 4 | 1 | no | — |
| 168 | Dic26 | — | 4 | 1 | no | — |
| 169 | Dic26 | — | 8 | 4 | no | — |
| 170 | C8×C13 | — | 4 | 2 | no | — |
| 171 | C8×C13 | — | 8 | 1 | no | — |
| 172 | #1055 | — | 8 | 1 | no | — |
| 173 | C2×AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 174 | #537 | — | 13 | 1 | no | — |
| 175 | #481 | — | 26 | 1 | no | — |
| 176 | #481 | — | 26 | 1 | no | — |
| 177 | C2×#104 | — | 26 | 1 | no | — |
| 178 | #400 | — | 13 | 1 | no | — |
| 179 | #400 | C2×D13 | 1 | 1 | yes | characteristic |
| 180 | #393 | — | 26 | 1 | no | — |
| 181 | #393 | — | 26 | 1 | no | — |
| 182 | #391 | — | 26 | 1 | no | — |
| 183 | #390 | — | 13 | 1 | no | — |
| 184 | #386 | — | 26 | 1 | no | — |
| 185 | #385 | — | 26 | 1 | no | — |
| 186 | #385 | — | 26 | 1 | no | — |
| 187 | #343 | C2×D13 | 1 | 1 | yes | characteristic |
| 188 | #327 | — | 26 | 1 | no | — |
| 189 | #327 | — | 26 | 1 | no | — |
| 190 | #324 | — | 13 | 1 | no | — |
| 191 | #324 | C2×D13 | 1 | 1 | yes | characteristic |
| 192 | C22×C13 | — | 2 | 1 | no | — |
| 193 | C22×C13 | — | 2 | 1 | no | — |
| 194 | C22×C13 | #448 | 1 | 1 | yes | characteristic |
| 195 | C22×C13 | #453 | 1 | 1 | yes | characteristic |
| 196 | C22×C13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 197 | C2×D13 | — | 4 | 2 | no | — |
| 198 | C2×D13 | — | 4 | 2 | no | — |
| 199 | C2×D13 | — | 4 | 2 | no | — |
| 200 | C2×D13 | — | 8 | 1 | no | — |
| 201 | C2×D13 | — | 8 | 1 | no | — |
| 202 | C2×D13 | — | 8 | 1 | no | — |
| 203 | C2×D13 | — | 8 | 1 | no | — |
| 204 | C2×D13 | — | 8 | 1 | no | — |
| 205 | C2×D13 | — | 8 | 1 | no | — |
| 206 | C2×D13 | — | 8 | 1 | no | — |
| 207 | C4×C13 | — | 2 | 1 | no | — |
| 208 | C4×C13 | — | 2 | 1 | no | — |
| 209 | C4×C13 | — | 4 | 1 | no | — |
| 210 | C4×C13 | — | 4 | 1 | no | — |
| 211 | C4×C13 | — | 8 | 1 | no | — |
| 212 | C4×C13 | — | 8 | 1 | no | — |
| 213 | Dic13 | — | 4 | 2 | no | — |
| 214 | Dic13 | — | 8 | 1 | no | — |
| 215 | Dic13 | — | 8 | 1 | no | — |
| 216 | Dic13 | — | 8 | 1 | no | — |
| 217 | C2×#41 | — | 26 | 1 | no | — |
| 218 | C22×Q8 | — | 26 | 1 | no | — |
| 219 | C22×D4 | — | 13 | 1 | no | — |
| 220 | C23×C4 | — | 26 | 1 | no | — |
| 221 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 222 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 223 | C2×SD16 | — | 52 | 1 | no | — |
| 224 | C2×D8 | — | 52 | 1 | no | — |
| 225 | C2×M16 | — | 2 | 1 | no | — |
| 226 | C22⋊Q8 | — | 52 | 1 | no | — |
| 227 | #121 | — | 26 | 1 | no | — |
| 228 | #121 | — | 26 | 1 | no | — |
| 229 | #121 | — | 52 | 1 | no | — |
| 230 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 231 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 232 | C2×C4⋊C4 | D52 | 1 | 1 | yes | characteristic |
| 233 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 234 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 235 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 236 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 237 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 238 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 239 | C2×C42 | — | 13 | 1 | no | — |
| 240 | #106 | — | 52 | 1 | no | — |
| 241 | #106 | — | 52 | 1 | no | — |
| 242 | #104 | — | 52 | 2 | no | — |
| 243 | #102 | — | 52 | 1 | no | — |
| 244 | #102 | — | 52 | 1 | no | — |
| 245 | C22⋊C8 | — | 2 | 1 | no | — |
| 246 | C22⋊C8 | — | 26 | 1 | no | — |
| 247 | #95 | — | 2 | 1 | no | — |
| 248 | #95 | — | 2 | 1 | no | — |
| 249 | #95 | — | 13 | 1 | no | — |
| 250 | #95 | — | 26 | 1 | no | — |
| 251 | #95 | — | 26 | 1 | no | — |
| 252 | #95 | — | 26 | 1 | no | — |
| 253 | #95 | — | 26 | 1 | no | — |
| 254 | #95 | D52 | 1 | 1 | yes | characteristic |
| 255 | C2×C13 | — | 2 | 1 | no | — |
| 256 | C2×C13 | — | 2 | 1 | no | — |
| 257 | C2×C13 | #1596 | 1 | 1 | yes | characteristic |
| 258 | C2×C13 | #2198 | 1 | 1 | yes | characteristic |
| 259 | C2×C13 | #2202 | 1 | 1 | yes | characteristic |
| 260 | D13 | — | 8 | 2 | no | — |
| 261 | D13 | — | 16 | 1 | no | — |
| 262 | C24 | — | 26 | 1 | no | — |
| 263 | #41 | — | 52 | 1 | no | — |
| 264 | #41 | — | 52 | 1 | no | — |
| 265 | #41 | — | 52 | 1 | no | — |
| 266 | #41 | — | 52 | 1 | no | — |
| 267 | C2×Q8 | — | 26 | 1 | no | — |
| 268 | C2×Q8 | — | 52 | 2 | no | — |
| 269 | C2×Q8 | — | 104 | 1 | no | — |
| 270 | C2×Q8 | — | 104 | 1 | no | — |
| 271 | C2×D4 | — | 13 | 2 | no | — |
| 272 | C2×D4 | — | 26 | 1 | no | — |
| 273 | C2×D4 | — | 26 | 1 | no | — |
| 274 | C2×D4 | — | 26 | 1 | no | — |
| 275 | C2×D4 | — | 26 | 1 | no | — |
| 276 | C2×D4 | — | 52 | 1 | no | — |
| 277 | C2×D4 | — | 52 | 1 | no | — |
| 278 | C2×D4 | — | 52 | 1 | no | — |
| 279 | C22×C4 | — | 2 | 1 | no | — |
| 280 | C22×C4 | — | 2 | 1 | no | — |
| 281 | C22×C4 | — | 26 | 1 | no | — |
| 282 | C22×C4 | — | 26 | 1 | no | — |
| 283 | C22×C4 | — | 26 | 1 | no | — |
| 284 | C22×C4 | — | 52 | 1 | no | — |
| 285 | C22×C4 | — | 104 | 1 | no | — |
| 286 | C22×C4 | — | 104 | 1 | no | — |
| 287 | C22×C4 | — | 104 | 1 | no | — |
| 288 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 289 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 290 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 291 | SD16 | — | 52 | 4 | no | — |
| 292 | D8 | — | 52 | 4 | no | — |
| 293 | M16 | — | 2 | 2 | no | — |
| 294 | M16 | — | 4 | 1 | no | — |
| 295 | C2×C8 | — | 4 | 1 | no | — |
| 296 | C2×C8 | — | 4 | 1 | no | — |
| 297 | C2×C8 | — | 52 | 1 | no | — |
| 298 | C4⋊C4 | — | 4 | 1 | no | — |
| 299 | C4⋊C4 | — | 4 | 1 | no | — |
| 300 | C4⋊C4 | — | 26 | 1 | no | — |
| 301 | C4⋊C4 | — | 26 | 1 | no | — |
| 302 | C4⋊C4 | — | 52 | 1 | no | — |
| 303 | C4⋊C4 | — | 104 | 1 | no | — |
| 304 | C22⋊C4 | — | 52 | 1 | no | — |
| 305 | C22⋊C4 | — | 52 | 1 | no | — |
| 306 | C22⋊C4 | — | 52 | 2 | no | — |
| 307 | C22⋊C4 | — | 52 | 2 | no | — |
| 308 | C22⋊C4 | — | 104 | 1 | no | — |
| 309 | C22⋊C4 | — | 104 | 1 | no | — |
| 310 | C22⋊C4 | — | 104 | 1 | no | — |
| 311 | C42 | — | 52 | 1 | no | — |
| 312 | C13 | #12127 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 313 | C23 | — | 26 | 2 | no | — |
| 314 | C23 | — | 52 | 1 | no | — |
| 315 | C23 | — | 52 | 1 | no | — |
| 316 | C23 | — | 52 | 1 | no | — |
| 317 | C23 | — | 52 | 1 | no | — |
| 318 | C23 | — | 52 | 1 | no | — |
| 319 | C23 | — | 52 | 1 | no | — |
| 320 | C23 | — | 52 | 1 | no | — |
| 321 | C23 | #88136 | 1 | 1 | yes | characteristic |
| 322 | Q8 | — | 52 | 1 | no | — |
| 323 | Q8 | — | 52 | 1 | no | — |
| 324 | Q8 | — | 104 | 4 | no | — |
| 325 | D4 | — | 52 | 2 | no | — |
| 326 | D4 | — | 52 | 1 | no | — |
| 327 | D4 | — | 52 | 1 | no | — |
| 328 | D4 | — | 104 | 1 | no | — |
| 329 | D4 | — | 104 | 1 | no | — |
| 330 | D4 | — | 104 | 1 | no | — |
| 331 | D4 | — | 104 | 1 | no | — |
| 332 | D4 | — | 104 | 1 | no | — |
| 333 | C2×C4 | — | 2 | 1 | no | — |
| 334 | C2×C4 | — | 2 | 1 | no | — |
| 335 | C2×C4 | — | 2 | 1 | no | — |
| 336 | C2×C4 | — | 2 | 1 | no | — |
| 337 | C2×C4 | — | 4 | 1 | no | — |
| 338 | C2×C4 | — | 4 | 1 | no | — |
| 339 | C2×C4 | — | 4 | 1 | no | — |
| 340 | C2×C4 | — | 4 | 1 | no | — |
| 341 | C2×C4 | — | 4 | 1 | no | — |
| 342 | C2×C4 | — | 4 | 1 | no | — |
| 343 | C2×C4 | — | 4 | 1 | no | — |
| 344 | C2×C4 | — | 4 | 1 | no | — |
| 345 | C2×C4 | — | 26 | 2 | no | — |
| 346 | C2×C4 | — | 52 | 1 | no | — |
| 347 | C2×C4 | — | 52 | 1 | no | — |
| 348 | C2×C4 | — | 52 | 1 | no | — |
| 349 | C2×C4 | — | 52 | 1 | no | — |
| 350 | C2×C4 | — | 52 | 1 | no | — |
| 351 | C2×C4 | — | 52 | 1 | no | — |
| 352 | C2×C4 | — | 52 | 1 | no | — |
| 353 | C2×C4 | — | 52 | 1 | no | — |
| 354 | C2×C4 | — | 52 | 1 | no | — |
| 355 | C2×C4 | — | 104 | 1 | no | — |
| 356 | C2×C4 | — | 104 | 1 | no | — |
| 357 | C2×C4 | — | 104 | 4 | no | — |
| 358 | C2×C4 | SD16×D13 | 1 | 1 | yes | characteristic |
| 359 | C2×C4 | #88172 | 1 | 1 | yes | characteristic |
| 360 | C8 | — | 4 | 2 | no | — |
| 361 | C8 | — | 8 | 1 | no | — |
| 362 | C8 | — | 104 | 1 | no | — |
| 363 | C22 | — | 2 | 1 | no | — |
| 364 | C22 | — | 2 | 1 | no | — |
| 365 | C22 | — | 52 | 2 | no | — |
| 366 | C22 | — | 52 | 2 | no | — |
| 367 | C22 | — | 52 | 2 | no | — |
| 368 | C22 | — | 104 | 1 | no | — |
| 369 | C22 | — | 104 | 1 | no | — |
| 370 | C22 | — | 104 | 1 | no | — |
| 371 | C22 | — | 104 | 1 | no | — |
| 372 | C22 | — | 104 | 1 | no | — |
| 373 | C22 | — | 104 | 1 | no | — |
| 374 | C22 | — | 104 | 1 | no | — |
| 375 | C22 | #11718402 | 1 | 1 | yes | characteristic |
| 376 | C22 | #11718467 | 1 | 1 | yes | characteristic |
| 377 | C22 | #11718483 | 1 | 1 | yes | characteristic |
| 378 | C4 | — | 2 | 1 | no | — |
| 379 | C4 | — | 2 | 1 | no | — |
| 380 | C4 | — | 4 | 1 | no | — |
| 381 | C4 | — | 4 | 1 | no | — |
| 382 | C4 | — | 8 | 1 | no | — |
| 383 | C4 | — | 8 | 1 | no | — |
| 384 | C4 | — | 52 | 2 | no | — |
| 385 | C4 | — | 104 | 1 | no | — |
| 386 | C4 | — | 104 | 1 | no | — |
| 387 | C4 | — | 104 | 1 | no | — |
| 388 | C2 | — | 2 | 1 | no | — |
| 389 | C2 | — | 2 | 1 | no | — |
| 390 | C2 | — | 104 | 2 | no | — |
| 391 | C2 | — | 208 | 1 | no | — |
| 392 | C2 | #13113760 | 1 | 1 | yes | characteristic |
| 393 | C2 | #13116833 | 1 | 1 | yes | characteristic |
| 394 | C2 | #13116854 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13122781 | C2 | semidirect |
| 3. #13113875 | C2 | semidirect |
| 4. #13113872 | C2 | semidirect |
| 5. #13112862 | C2 | semidirect |
| 6. #13112767 | C2 | semidirect |
| 7. C13×#1353 | C2 | semidirect |
| 121. #1353 | D13 | semidirect |
| 312. C13 | #12127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122781 | 2 |
| #13115880 | 2 |
| #13113875 | 2 |
| #13113872 | 2 |
| #13112862 | 2 |
| #13112767 | 2 |
| C13×#1353 | 2 |
| #12127 | 13 |