Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
432 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 76 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 | D13⋊#349 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D13⋊#338 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13129812 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13129811 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13124447 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×D13⋊M16 | — | 2 | 1 | no | — |
| 7 | C2×#88173 | C4 | 1 | 1 | yes | characteristic |
| 8 | C2×M16×D13 | C22 | 1 | 1 | yes | characteristic |
| 9 | #11719332 | — | 2 | 1 | no | — |
| 10 | D13⋊M32 | — | 2 | 1 | no | — |
| 11 | C13×#470 | C4 | 1 | 1 | yes | characteristic |
| 12 | #11718850 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11718796 | C4 | 1 | 1 | yes | characteristic |
| 14 | #11718710 | — | 2 | 1 | no | — |
| 15 | #11718526 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11718521 | C4 | 1 | 1 | yes | characteristic |
| 17 | #11718473 | — | 2 | 1 | no | — |
| 18 | #11718465 | — | 2 | 1 | no | — |
| 19 | #11718284 | — | 2 | 1 | no | — |
| 20 | #11718269 | — | 2 | 1 | no | — |
| 21 | #11718269 | C22 | 1 | 2 | yes | — |
| 22 | #11718263 | C22 | 1 | 2 | yes | — |
| 23 | C2×#6131 | — | 2 | 1 | no | — |
| 24 | C22×C4×D13 | D4 | 1 | 1 | yes | characteristic |
| 25 | C2×#6122 | — | 4 | 1 | no | — |
| 26 | D13⋊M16 | — | 2 | 2 | no | — |
| 27 | D13⋊M16 | — | 2 | 2 | no | — |
| 28 | D13⋊M16 | — | 4 | 1 | no | — |
| 29 | D13⋊M16 | — | 4 | 1 | no | — |
| 30 | C2×#6118 | — | 4 | 1 | no | — |
| 31 | C2×D13⋊C8 | — | 2 | 2 | no | — |
| 32 | C2×C13×Q16 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | C2×C13×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 35 | #88200 | — | 2 | 1 | no | — |
| 36 | C2×#6106 | — | 2 | 1 | no | — |
| 37 | #88184 | — | 2 | 1 | no | — |
| 38 | C2×#6099 | D4 | 1 | 1 | yes | characteristic |
| 39 | #88173 | — | 4 | 1 | no | — |
| 40 | #88173 | — | 4 | 1 | no | — |
| 41 | M16×D13 | — | 4 | 1 | no | — |
| 42 | M16×D13 | — | 4 | 1 | no | — |
| 43 | C2×D104 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#6094 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×#6094 | C23 | 1 | 1 | yes | characteristic |
| 46 | C2×C8×D13 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×C8×D13 | D4 | 1 | 1 | yes | characteristic |
| 48 | #88149 | — | 2 | 1 | no | — |
| 49 | #88148 | — | 4 | 1 | no | — |
| 50 | #88147 | — | 4 | 1 | no | — |
| 51 | #88146 | — | 2 | 1 | no | — |
| 52 | #88136 | — | 4 | 1 | no | — |
| 53 | #88135 | — | 4 | 1 | no | — |
| 54 | #88106 | — | 2 | 2 | no | — |
| 55 | #88098 | — | 4 | 1 | no | — |
| 56 | D13⋊C16 | — | 4 | 1 | no | — |
| 57 | C13×#106 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C13×#103 | — | 2 | 1 | no | — |
| 59 | #88075 | — | 2 | 1 | no | — |
| 60 | #88061 | — | 2 | 1 | no | — |
| 61 | #88057 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | #88049 | — | 2 | 1 | no | — |
| 63 | #88047 | — | 2 | 1 | no | — |
| 64 | #11688 | — | 13 | 1 | no | maximal, Sylow |
| 65 | C23×D13 | SD16 | 1 | 1 | yes | characteristic |
| 66 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 67 | C22×C4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 68 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 69 | C22×Dic13 | D8 | 1 | 1 | yes | characteristic |
| 70 | #6131 | — | 4 | 1 | no | — |
| 71 | #6131 | — | 4 | 1 | no | — |
| 72 | #6131 | — | 4 | 1 | no | — |
| 73 | #6131 | — | 4 | 1 | no | — |
| 74 | C2×D52 | — | 2 | 1 | no | — |
| 75 | C2×D52 | — | 4 | 1 | no | — |
| 76 | C2×D52 | — | 4 | 1 | no | — |
| 77 | C2×C4×D13 | — | 2 | 1 | no | — |
| 78 | C2×C4×D13 | — | 2 | 1 | no | — |
| 79 | C2×C4×D13 | — | 2 | 1 | no | — |
| 80 | C2×C4×D13 | — | 2 | 1 | no | — |
| 81 | C2×C4×D13 | — | 4 | 1 | no | — |
| 82 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×D13 | D8 | 1 | 1 | yes | characteristic |
| 84 | C2×C4×D13 | SD16 | 1 | 1 | yes | characteristic |
| 85 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | #6122 | — | 4 | 2 | no | — |
| 87 | #6122 | — | 4 | 2 | no | — |
| 88 | C2×#1057 | — | 4 | 2 | no | — |
| 89 | #6118 | — | 4 | 2 | no | — |
| 90 | #6118 | — | 4 | 2 | no | — |
| 91 | D13⋊C8 | — | 2 | 4 | no | — |
| 92 | D13⋊C8 | — | 4 | 2 | no | — |
| 93 | C13×Q16 | — | 4 | 1 | no | — |
| 94 | C13×M16 | — | 4 | 1 | no | — |
| 95 | C2×C8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 96 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 97 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 98 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 99 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 100 | #6106 | — | 4 | 2 | no | — |
| 101 | #6103 | — | 4 | 1 | no | — |
| 102 | #6103 | — | 4 | 1 | no | — |
| 103 | #6103 | — | 4 | 1 | no | — |
| 104 | #6103 | — | 4 | 1 | no | — |
| 105 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 106 | #6101 | — | 4 | 1 | no | — |
| 107 | C4×Dic13 | — | 4 | 1 | no | — |
| 108 | #6099 | — | 4 | 1 | no | — |
| 109 | C2×#1055 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 110 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | D104 | — | 4 | 1 | no | — |
| 112 | #6094 | — | 4 | 1 | no | — |
| 113 | #6094 | — | 4 | 1 | no | — |
| 114 | C8×D13 | — | 2 | 1 | no | — |
| 115 | C8×D13 | — | 2 | 1 | no | — |
| 116 | C8×D13 | — | 2 | 1 | no | — |
| 117 | C8×D13 | — | 2 | 1 | no | — |
| 118 | #6092 | — | 4 | 2 | no | — |
| 119 | #3054 | — | 13 | 1 | no | — |
| 120 | C2×#349 | — | 13 | 1 | no | — |
| 121 | C2×#338 | — | 13 | 1 | no | — |
| 122 | #1342 | — | 13 | 2 | no | — |
| 123 | #1341 | — | 13 | 2 | no | — |
| 124 | C23×C13 | #102 | 1 | 1 | yes | characteristic |
| 125 | C22×D13 | — | 2 | 1 | no | — |
| 126 | C22×D13 | — | 2 | 1 | no | — |
| 127 | C22×D13 | — | 4 | 1 | no | — |
| 128 | C22×D13 | — | 8 | 1 | no | — |
| 129 | C22×D13 | #102 | 1 | 1 | yes | characteristic |
| 130 | C22×D13 | C2×SD16 | 1 | 1 | yes | characteristic |
| 131 | Q8×C13 | — | 4 | 1 | no | — |
| 132 | Q8×C13 | — | 4 | 1 | no | — |
| 133 | C2×C4×C13 | — | 2 | 1 | no | — |
| 134 | C2×C4×C13 | — | 2 | 1 | no | — |
| 135 | C2×C4×C13 | — | 4 | 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 | — | 8 | 2 | no | — |
| 140 | C2×Dic13 | — | 2 | 1 | no | — |
| 141 | C2×Dic13 | — | 2 | 1 | no | — |
| 142 | C2×Dic13 | — | 4 | 1 | no | — |
| 143 | C2×Dic13 | #102 | 1 | 1 | yes | characteristic |
| 144 | C2×Dic13 | C2×D8 | 1 | 1 | yes | characteristic |
| 145 | D52 | — | 4 | 1 | no | — |
| 146 | D52 | — | 4 | 1 | no | — |
| 147 | D52 | — | 8 | 2 | no | — |
| 148 | D52 | — | 8 | 1 | no | — |
| 149 | D52 | — | 8 | 1 | no | — |
| 150 | C4×D13 | — | 2 | 1 | no | — |
| 151 | C4×D13 | — | 2 | 1 | no | — |
| 152 | C4×D13 | — | 2 | 1 | no | — |
| 153 | C4×D13 | — | 2 | 1 | no | — |
| 154 | C4×D13 | — | 2 | 1 | no | — |
| 155 | C4×D13 | — | 2 | 1 | no | — |
| 156 | C4×D13 | — | 8 | 1 | no | — |
| 157 | C4×D13 | — | 8 | 1 | no | — |
| 158 | C4×D13 | #99 | 1 | 1 | yes | characteristic |
| 159 | C4×D13 | #99 | 1 | 1 | yes | characteristic |
| 160 | C4×D13 | #104 | 1 | 1 | yes | characteristic |
| 161 | C4×D13 | #104 | 1 | 1 | yes | characteristic |
| 162 | #1057 | — | 4 | 4 | no | — |
| 163 | C8×C13 | — | 2 | 1 | no | — |
| 164 | C8×C13 | — | 2 | 1 | no | — |
| 165 | #1055 | — | 2 | 1 | no | — |
| 166 | #1055 | — | 2 | 1 | no | — |
| 167 | C2×#135 | — | 13 | 1 | no | — |
| 168 | C22×M16 | — | 13 | 1 | no | — |
| 169 | C22×M16 | — | 26 | 1 | no | — |
| 170 | #525 | — | 26 | 1 | no | — |
| 171 | C2×M32 | — | 26 | 1 | no | — |
| 172 | #470 | — | 13 | 1 | no | — |
| 173 | #470 | #261 | 1 | 1 | yes | characteristic |
| 174 | #469 | — | 13 | 1 | no | — |
| 175 | #469 | — | 13 | 1 | no | — |
| 176 | #468 | — | 26 | 1 | no | — |
| 177 | #468 | — | 26 | 1 | no | — |
| 178 | #427 | — | 13 | 1 | no | — |
| 179 | #416 | — | 26 | 1 | no | — |
| 180 | #349 | — | 13 | 2 | no | — |
| 181 | #349 | — | 26 | 1 | no | — |
| 182 | #338 | — | 13 | 2 | no | — |
| 183 | #338 | — | 26 | 1 | no | — |
| 184 | C22×C13 | — | 2 | 1 | no | — |
| 185 | C22×C13 | — | 4 | 1 | no | — |
| 186 | C22×C13 | C2×#102 | 1 | 1 | yes | characteristic |
| 187 | C2×D13 | — | 2 | 1 | no | — |
| 188 | C2×D13 | — | 4 | 1 | no | — |
| 189 | C2×D13 | — | 4 | 2 | no | — |
| 190 | C2×D13 | — | 4 | 1 | no | — |
| 191 | C2×D13 | — | 8 | 1 | no | — |
| 192 | C2×D13 | — | 8 | 1 | no | — |
| 193 | C2×D13 | — | 8 | 1 | no | — |
| 194 | C2×D13 | — | 8 | 1 | no | — |
| 195 | C2×D13 | #327 | 1 | 1 | yes | characteristic |
| 196 | C2×D13 | #327 | 1 | 1 | yes | characteristic |
| 197 | C4×C13 | — | 2 | 1 | no | — |
| 198 | C4×C13 | — | 8 | 1 | no | — |
| 199 | C4×C13 | — | 8 | 1 | no | — |
| 200 | C4×C13 | C2×#99 | 1 | 1 | yes | characteristic |
| 201 | C4×C13 | C2×#104 | 1 | 1 | yes | characteristic |
| 202 | Dic13 | — | 2 | 1 | no | — |
| 203 | Dic13 | — | 8 | 1 | no | — |
| 204 | Dic13 | #327 | 1 | 1 | yes | characteristic |
| 205 | Dic13 | #327 | 1 | 1 | yes | characteristic |
| 206 | C2×#41 | — | 26 | 1 | no | — |
| 207 | C23×C4 | — | 13 | 1 | no | — |
| 208 | #135 | — | 52 | 1 | no | — |
| 209 | #135 | — | 52 | 1 | no | — |
| 210 | C2×Q16 | C2×#261 | 1 | 1 | yes | characteristic |
| 211 | C2×SD16 | — | 26 | 1 | no | — |
| 212 | C2×D8 | — | 13 | 1 | no | — |
| 213 | C2×M16 | — | 13 | 1 | no | — |
| 214 | C2×M16 | — | 13 | 1 | no | — |
| 215 | C2×M16 | — | 13 | 1 | no | — |
| 216 | C2×M16 | — | 26 | 2 | no | — |
| 217 | C2×M16 | — | 26 | 2 | no | — |
| 218 | C2×M16 | — | 52 | 1 | no | — |
| 219 | C2×M16 | — | 52 | 1 | no | — |
| 220 | C2×M16 | — | 52 | 1 | no | — |
| 221 | C2×M16 | — | 52 | 1 | no | — |
| 222 | C2×M16 | — | 52 | 1 | no | — |
| 223 | C2×M16 | — | 52 | 1 | no | — |
| 224 | C2×M16 | C2×#261 | 1 | 1 | yes | characteristic |
| 225 | C22×C8 | — | 13 | 1 | no | — |
| 226 | C22×C8 | — | 13 | 1 | no | — |
| 227 | C22×C8 | — | 26 | 2 | no | — |
| 228 | #123 | — | 52 | 1 | no | — |
| 229 | C22⋊Q8 | — | 2 | 1 | no | — |
| 230 | C22⋊Q8 | — | 26 | 1 | no | — |
| 231 | #121 | — | 26 | 1 | no | — |
| 232 | #121 | — | 26 | 1 | no | — |
| 233 | #120 | — | 52 | 1 | no | — |
| 234 | C4×D4 | — | 52 | 1 | no | — |
| 235 | C4×D4 | — | 52 | 1 | no | — |
| 236 | #117 | — | 26 | 1 | no | — |
| 237 | M32 | — | 26 | 2 | no | — |
| 238 | M32 | — | 52 | 1 | no | — |
| 239 | C2×C16 | — | 52 | 1 | no | — |
| 240 | #107 | — | 26 | 1 | no | — |
| 241 | #106 | — | 13 | 1 | no | — |
| 242 | #106 | C2×#261 | 1 | 1 | yes | characteristic |
| 243 | #103 | — | 2 | 1 | no | — |
| 244 | #103 | — | 26 | 1 | no | — |
| 245 | #102 | — | 26 | 1 | no | — |
| 246 | #102 | — | 26 | 1 | no | — |
| 247 | C2×C13 | — | 2 | 1 | no | — |
| 248 | C2×C13 | — | 4 | 1 | no | — |
| 249 | C2×C13 | C2×#327 | 1 | 1 | yes | characteristic |
| 250 | D13 | — | 2 | 1 | no | — |
| 251 | D13 | — | 2 | 1 | no | — |
| 252 | D13 | — | 4 | 1 | no | — |
| 253 | D13 | — | 16 | 1 | no | — |
| 254 | C24 | — | 13 | 1 | no | — |
| 255 | #41 | — | 52 | 1 | no | — |
| 256 | #41 | — | 52 | 1 | no | — |
| 257 | #41 | — | 52 | 1 | no | — |
| 258 | #41 | — | 52 | 1 | no | — |
| 259 | C2×Q8 | — | 2 | 1 | no | — |
| 260 | C2×D4 | — | 26 | 1 | no | — |
| 261 | C2×D4 | — | 52 | 1 | no | — |
| 262 | C2×D4 | — | 52 | 1 | no | — |
| 263 | C2×D4 | — | 52 | 1 | no | — |
| 264 | C22×C4 | — | 13 | 1 | no | — |
| 265 | C22×C4 | — | 13 | 1 | no | — |
| 266 | C22×C4 | — | 13 | 1 | no | — |
| 267 | C22×C4 | — | 13 | 1 | no | — |
| 268 | C22×C4 | — | 13 | 1 | no | — |
| 269 | C22×C4 | — | 26 | 1 | no | — |
| 270 | C22×C4 | — | 26 | 1 | no | — |
| 271 | C22×C4 | — | 26 | 1 | no | — |
| 272 | C22×C4 | — | 26 | 1 | no | — |
| 273 | C22×C4 | — | 52 | 1 | no | — |
| 274 | C22×C4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 275 | Q16 | — | 4 | 1 | no | — |
| 276 | SD16 | — | 52 | 2 | no | — |
| 277 | D8 | — | 52 | 1 | no | — |
| 278 | M16 | — | 4 | 1 | no | — |
| 279 | M16 | — | 52 | 1 | no | — |
| 280 | M16 | — | 52 | 1 | no | — |
| 281 | M16 | — | 52 | 1 | no | — |
| 282 | M16 | — | 52 | 2 | no | — |
| 283 | M16 | — | 52 | 2 | no | — |
| 284 | M16 | — | 52 | 2 | no | — |
| 285 | M16 | — | 52 | 2 | no | — |
| 286 | C2×C8 | — | 13 | 1 | no | — |
| 287 | C2×C8 | — | 13 | 1 | no | — |
| 288 | C2×C8 | — | 26 | 1 | no | — |
| 289 | C2×C8 | — | 26 | 1 | no | — |
| 290 | C2×C8 | — | 26 | 1 | no | — |
| 291 | C2×C8 | — | 26 | 1 | no | — |
| 292 | C2×C8 | — | 26 | 4 | no | — |
| 293 | C2×C8 | — | 52 | 2 | no | — |
| 294 | C2×C8 | — | 52 | 2 | no | — |
| 295 | C2×C8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 297 | C4⋊C4 | — | 2 | 1 | no | — |
| 298 | C4⋊C4 | — | 4 | 1 | no | — |
| 299 | C4⋊C4 | — | 26 | 1 | no | — |
| 300 | C4⋊C4 | — | 52 | 1 | no | — |
| 301 | C22⋊C4 | — | 4 | 1 | no | — |
| 302 | C22⋊C4 | — | 52 | 1 | no | — |
| 303 | C22⋊C4 | — | 52 | 1 | no | — |
| 304 | C22⋊C4 | — | 52 | 1 | no | — |
| 305 | C22⋊C4 | — | 52 | 1 | no | — |
| 306 | C42 | — | 52 | 1 | no | — |
| 307 | C16 | — | 52 | 2 | no | — |
| 308 | C13 | #11688 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 309 | C23 | — | 13 | 1 | no | — |
| 310 | C23 | — | 13 | 1 | no | — |
| 311 | C23 | — | 26 | 1 | no | — |
| 312 | C23 | — | 26 | 1 | no | — |
| 313 | C23 | — | 52 | 1 | no | — |
| 314 | C23 | — | 104 | 1 | no | — |
| 315 | C23 | #88115 | 1 | 1 | yes | characteristic |
| 316 | Q8 | — | 4 | 1 | no | — |
| 317 | Q8 | — | 4 | 1 | no | — |
| 318 | D4 | — | 52 | 1 | no | — |
| 319 | D4 | — | 52 | 1 | no | — |
| 320 | D4 | — | 104 | 1 | no | — |
| 321 | D4 | — | 104 | 1 | no | — |
| 322 | D4 | — | 104 | 2 | no | — |
| 323 | D4 | — | 104 | 2 | no | — |
| 324 | C2×C4 | — | 2 | 1 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 4 | 1 | no | — |
| 327 | C2×C4 | — | 4 | 1 | no | — |
| 328 | C2×C4 | — | 13 | 1 | no | — |
| 329 | C2×C4 | — | 13 | 1 | no | — |
| 330 | C2×C4 | — | 13 | 1 | no | — |
| 331 | C2×C4 | — | 13 | 1 | no | — |
| 332 | C2×C4 | — | 13 | 1 | no | — |
| 333 | C2×C4 | — | 13 | 1 | no | — |
| 334 | C2×C4 | — | 26 | 1 | no | — |
| 335 | C2×C4 | — | 26 | 1 | no | — |
| 336 | C2×C4 | — | 26 | 1 | no | — |
| 337 | C2×C4 | — | 26 | 1 | no | — |
| 338 | C2×C4 | — | 26 | 1 | no | — |
| 339 | C2×C4 | — | 26 | 1 | no | — |
| 340 | C2×C4 | — | 26 | 1 | no | — |
| 341 | C2×C4 | — | 26 | 1 | no | — |
| 342 | C2×C4 | — | 52 | 1 | no | — |
| 343 | C2×C4 | — | 104 | 1 | no | — |
| 344 | C2×C4 | — | 104 | 1 | no | — |
| 345 | C2×C4 | #88115 | 1 | 1 | yes | characteristic |
| 346 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 347 | C8 | — | 2 | 1 | no | — |
| 348 | C8 | — | 2 | 1 | no | — |
| 349 | C8 | — | 26 | 1 | no | — |
| 350 | C8 | — | 26 | 1 | no | — |
| 351 | C8 | — | 52 | 4 | no | — |
| 352 | C22 | — | 2 | 1 | no | — |
| 353 | C22 | — | 4 | 1 | no | — |
| 354 | C22 | — | 13 | 1 | no | — |
| 355 | C22 | — | 13 | 1 | no | — |
| 356 | C22 | — | 26 | 1 | no | — |
| 357 | C22 | — | 52 | 1 | no | — |
| 358 | C22 | — | 52 | 1 | no | — |
| 359 | C22 | — | 52 | 2 | no | — |
| 360 | C22 | — | 104 | 1 | no | — |
| 361 | C22 | — | 104 | 1 | no | — |
| 362 | C22 | — | 104 | 1 | no | — |
| 363 | C22 | — | 104 | 1 | no | — |
| 364 | C22 | C2×#88115 | 1 | 1 | yes | characteristic |
| 365 | C4 | — | 2 | 1 | no | — |
| 366 | C4 | — | 8 | 1 | no | — |
| 367 | C4 | — | 8 | 1 | no | — |
| 368 | C4 | — | 13 | 1 | no | — |
| 369 | C4 | — | 13 | 1 | no | — |
| 370 | C4 | — | 26 | 1 | no | — |
| 371 | C4 | — | 104 | 1 | no | — |
| 372 | C4 | D13⋊#99 | 1 | 1 | yes | characteristic |
| 373 | C4 | D13⋊#104 | 1 | 1 | yes | characteristic |
| 374 | C2 | — | 2 | 1 | no | — |
| 375 | C2 | — | 4 | 1 | no | — |
| 376 | C2 | — | 26 | 1 | no | — |
| 377 | C2 | — | 26 | 1 | no | — |
| 378 | C2 | — | 52 | 1 | no | — |
| 379 | C2 | — | 208 | 1 | no | — |
| 380 | C2 | D13⋊#327 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13⋊#349 | C2 | semidirect |
| 2. D13⋊#338 | C2 | semidirect |
| 3. #13129812 | C2 | semidirect |
| 4. #13129811 | C2 | semidirect |
| 308. C13 | #11688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#349 | 2 |
| D13⋊#338 | 2 |
| #13129812 | 2 |
| #13129811 | 2 |
| #13124447 | 2 |
| #11688 | 13 |