Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 59 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 | #13125285 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13116518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13116500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13112994 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13112993 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13112992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#1406 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#88168 | — | 2 | 1 | no | — |
| 9 | C2×#88165 | — | 2 | 1 | no | — |
| 10 | D13×#127 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #11719373 | C22 | 1 | 1 | yes | characteristic |
| 12 | C13×#496 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11718836 | — | 2 | 1 | no | — |
| 14 | #11718812 | — | 2 | 1 | no | — |
| 15 | #11718735 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #11718719 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11718412 | — | 2 | 1 | no | — |
| 18 | #11718401 | — | 2 | 1 | no | — |
| 19 | #11718373 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11718368 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | C13×#355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C13×#354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #11718134 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11718133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #11718070 | — | 2 | 1 | no | — |
| 26 | #11718066 | — | 2 | 1 | no | — |
| 27 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 28 | C2×#6129 | D4 | 1 | 1 | yes | characteristic |
| 29 | C2×D4×D13 | — | 2 | 1 | no | — |
| 30 | C2×D4×D13 | — | 4 | 1 | no | — |
| 31 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 32 | C2×C13×D8 | — | 2 | 1 | no | — |
| 33 | C13×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C13×#124 | C23 | 1 | 1 | yes | characteristic |
| 35 | #88198 | D4 | 1 | 1 | yes | characteristic |
| 36 | C2×#6106 | — | 2 | 1 | no | — |
| 37 | #88194 | — | 2 | 1 | no | — |
| 38 | #88194 | — | 4 | 1 | no | — |
| 39 | #88194 | D4 | 1 | 1 | yes | characteristic |
| 40 | C2×#6105 | — | 2 | 1 | no | — |
| 41 | C2×#6104 | — | 2 | 1 | no | — |
| 42 | C2×#6104 | — | 2 | 1 | no | — |
| 43 | #88168 | — | 4 | 2 | no | — |
| 44 | #88168 | — | 4 | 2 | no | — |
| 45 | #88165 | — | 4 | 2 | no | — |
| 46 | #88165 | — | 4 | 2 | no | — |
| 47 | M16×D13 | — | 4 | 1 | no | — |
| 48 | C2×D104 | — | 2 | 1 | no | — |
| 49 | C2×#6095 | — | 2 | 1 | no | — |
| 50 | C2×#6094 | — | 2 | 1 | no | — |
| 51 | #88138 | — | 4 | 1 | no | — |
| 52 | #88135 | — | 4 | 1 | no | — |
| 53 | #88131 | — | 4 | 1 | no | — |
| 54 | #88129 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | #88128 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C42×D13 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C13×#101 | — | 2 | 1 | no | — |
| 58 | C13×#99 | — | 2 | 1 | no | — |
| 59 | C13×#97 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | #88076 | — | 2 | 1 | no | — |
| 61 | #88074 | — | 2 | 1 | no | — |
| 62 | #88063 | — | 4 | 1 | no | — |
| 63 | C8×Dic13 | — | 2 | 1 | no | — |
| 64 | #88046 | — | 4 | 1 | no | — |
| 65 | #88043 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | #13579 | — | 13 | 1 | no | maximal, Sylow |
| 67 | C23×D13 | — | 4 | 1 | no | — |
| 68 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 69 | C2×D4×C13 | — | 2 | 1 | no | — |
| 70 | C2×D4×C13 | — | 4 | 1 | no | — |
| 71 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 72 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 73 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 74 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 75 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 76 | C22×Dic13 | — | 2 | 1 | no | — |
| 77 | #6131 | — | 4 | 1 | no | — |
| 78 | #6131 | — | 4 | 1 | no | — |
| 79 | #6129 | — | 4 | 1 | no | — |
| 80 | #6129 | — | 4 | 1 | no | — |
| 81 | D4×D13 | — | 4 | 1 | no | — |
| 82 | D4×D13 | — | 4 | 1 | no | — |
| 83 | D4×D13 | — | 4 | 1 | no | — |
| 84 | D4×D13 | — | 4 | 1 | no | — |
| 85 | D4×D13 | — | 8 | 4 | no | — |
| 86 | C2×D52 | — | 2 | 1 | no | — |
| 87 | C2×D52 | — | 2 | 1 | no | — |
| 88 | C2×D52 | — | 4 | 1 | no | — |
| 89 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×D13 | — | 2 | 1 | no | — |
| 91 | C2×C4×D13 | — | 2 | 1 | no | — |
| 92 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 93 | C2×Dic26 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 94 | C13×SD16 | — | 4 | 2 | no | — |
| 95 | C13×D8 | — | 4 | 2 | no | — |
| 96 | C13×M16 | — | 4 | 1 | no | — |
| 97 | C2×C8×C13 | — | 2 | 1 | no | — |
| 98 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 99 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 100 | C42×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C22⋊Dic13 | — | 4 | 1 | no | — |
| 102 | #6106 | — | 4 | 2 | no | — |
| 103 | #6105 | — | 4 | 2 | no | — |
| 104 | #6104 | — | 4 | 2 | no | — |
| 105 | #6104 | — | 4 | 2 | no | — |
| 106 | #6103 | — | 4 | 1 | no | — |
| 107 | #6101 | — | 4 | 1 | no | — |
| 108 | #6101 | — | 8 | 1 | no | — |
| 109 | C4×Dic13 | — | 2 | 1 | no | — |
| 110 | C4×Dic13 | — | 8 | 1 | no | — |
| 111 | C4×Dic13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 112 | #6099 | — | 4 | 1 | no | — |
| 113 | C2×#1055 | — | 2 | 1 | no | — |
| 114 | D104 | — | 4 | 2 | no | — |
| 115 | #6095 | — | 4 | 2 | no | — |
| 116 | #6094 | — | 2 | 2 | no | — |
| 117 | #6094 | — | 2 | 2 | no | — |
| 118 | #6094 | — | 8 | 1 | no | — |
| 119 | C8×D13 | — | 8 | 1 | no | — |
| 120 | #3151 | — | 13 | 1 | no | — |
| 121 | #2132 | — | 13 | 1 | no | — |
| 122 | #2126 | — | 13 | 1 | no | — |
| 123 | #1406 | — | 13 | 1 | no | — |
| 124 | #1406 | — | 13 | 1 | no | — |
| 125 | #1406 | — | 13 | 1 | no | — |
| 126 | #1406 | D13 | 1 | 1 | yes | characteristic, complemented |
| 127 | C23×C13 | — | 2 | 1 | no | — |
| 128 | C23×C13 | — | 4 | 1 | no | — |
| 129 | C22×D13 | — | 2 | 1 | no | — |
| 130 | C22×D13 | — | 4 | 1 | no | — |
| 131 | C22×D13 | — | 8 | 1 | no | — |
| 132 | C22×D13 | — | 8 | 1 | no | — |
| 133 | C22×D13 | — | 8 | 4 | no | — |
| 134 | C22×D13 | #99 | 1 | 1 | yes | characteristic |
| 135 | Q8×C13 | — | 4 | 1 | no | — |
| 136 | D4×C13 | — | 4 | 1 | no | — |
| 137 | D4×C13 | — | 4 | 1 | no | — |
| 138 | D4×C13 | — | 4 | 1 | no | — |
| 139 | D4×C13 | — | 8 | 2 | no | — |
| 140 | C2×C4×C13 | — | 2 | 1 | no | — |
| 141 | C2×C4×C13 | — | 2 | 1 | no | — |
| 142 | C2×C4×C13 | — | 8 | 1 | no | — |
| 143 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C22⋊D13 | — | 8 | 4 | no | — |
| 145 | C22⋊D13 | — | 8 | 2 | no | — |
| 146 | C22⋊D13 | — | 8 | 1 | no | — |
| 147 | C22⋊D13 | — | 8 | 1 | no | — |
| 148 | C22⋊D13 | — | 8 | 1 | no | — |
| 149 | C2×Dic13 | — | 2 | 1 | no | — |
| 150 | C2×Dic13 | — | 2 | 1 | no | — |
| 151 | C2×Dic13 | — | 4 | 1 | no | — |
| 152 | C2×Dic13 | — | 4 | 1 | no | — |
| 153 | C2×Dic13 | — | 8 | 1 | no | — |
| 154 | C2×Dic13 | #99 | 1 | 1 | yes | characteristic |
| 155 | D52 | — | 4 | 1 | no | — |
| 156 | D52 | — | 4 | 1 | no | — |
| 157 | D52 | — | 4 | 1 | no | — |
| 158 | D52 | — | 8 | 1 | no | — |
| 159 | D52 | — | 8 | 2 | no | — |
| 160 | C4×D13 | — | 2 | 1 | no | — |
| 161 | C4×D13 | — | 2 | 1 | no | — |
| 162 | C4×D13 | — | 4 | 2 | no | — |
| 163 | C4×D13 | — | 4 | 1 | no | — |
| 164 | C4×D13 | — | 4 | 1 | no | — |
| 165 | Dic26 | — | 4 | 1 | no | — |
| 166 | C8×C13 | — | 2 | 2 | no | — |
| 167 | C8×C13 | — | 8 | 1 | no | — |
| 168 | #1055 | — | 2 | 2 | no | — |
| 169 | #1055 | — | 8 | 1 | no | — |
| 170 | C2×AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 171 | C2×AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 172 | #532 | — | 13 | 1 | no | — |
| 173 | C2×#127 | — | 13 | 1 | no | — |
| 174 | #496 | — | 13 | 1 | no | — |
| 175 | #496 | — | 13 | 1 | no | — |
| 176 | #496 | — | 13 | 1 | no | — |
| 177 | #496 | C2×D13 | 1 | 1 | yes | characteristic |
| 178 | #493 | — | 26 | 1 | no | — |
| 179 | #492 | — | 26 | 1 | no | — |
| 180 | #413 | — | 26 | 1 | no | — |
| 181 | #410 | — | 26 | 1 | no | — |
| 182 | C4×M16 | — | 13 | 1 | no | — |
| 183 | #356 | — | 26 | 1 | no | — |
| 184 | #355 | — | 13 | 1 | no | — |
| 185 | #355 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 186 | #354 | — | 13 | 1 | no | — |
| 187 | #354 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 188 | #353 | — | 26 | 1 | no | — |
| 189 | C22×C13 | — | 4 | 1 | no | — |
| 190 | C22×C13 | — | 8 | 1 | no | — |
| 191 | C22×C13 | — | 8 | 2 | no | — |
| 192 | C22×C13 | — | 8 | 1 | no | — |
| 193 | C22×C13 | C2×#99 | 1 | 1 | yes | characteristic |
| 194 | C2×D13 | — | 2 | 1 | no | — |
| 195 | C2×D13 | — | 4 | 1 | no | — |
| 196 | C2×D13 | — | 4 | 1 | no | — |
| 197 | C2×D13 | — | 8 | 1 | no | — |
| 198 | C2×D13 | — | 8 | 2 | no | — |
| 199 | C2×D13 | — | 8 | 1 | no | — |
| 200 | C2×D13 | — | 16 | 2 | no | — |
| 201 | C2×D13 | — | 16 | 2 | no | — |
| 202 | C4×C13 | — | 2 | 1 | no | — |
| 203 | C4×C13 | — | 4 | 1 | no | — |
| 204 | C4×C13 | — | 4 | 1 | no | — |
| 205 | C4×C13 | — | 16 | 1 | no | — |
| 206 | Dic13 | — | 2 | 2 | no | — |
| 207 | Dic13 | — | 4 | 1 | no | — |
| 208 | Dic13 | — | 16 | 1 | no | — |
| 209 | Dic13 | #353 | 1 | 1 | yes | characteristic |
| 210 | Dic13 | #353 | 1 | 1 | yes | characteristic |
| 211 | C2×#41 | — | 13 | 1 | no | — |
| 212 | C2×#41 | — | 13 | 1 | no | — |
| 213 | C22×D4 | — | 26 | 1 | no | — |
| 214 | C22×D4 | — | 52 | 1 | no | — |
| 215 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 216 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 217 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 218 | AGL(1,ℤ/8) | — | 52 | 2 | no | — |
| 219 | C2×SD16 | — | 2 | 1 | no | — |
| 220 | C2×SD16 | — | 26 | 1 | no | — |
| 221 | C2×SD16 | — | 26 | 1 | no | — |
| 222 | C2×SD16 | — | 26 | 1 | no | — |
| 223 | C2×D8 | — | 2 | 1 | no | — |
| 224 | C2×D8 | — | 26 | 1 | no | — |
| 225 | C2×D8 | — | 26 | 1 | no | — |
| 226 | C2×D8 | — | 26 | 1 | no | — |
| 227 | C2×M16 | — | 26 | 1 | no | — |
| 228 | C2×M16 | — | 52 | 1 | no | — |
| 229 | C4⋊Q8 | — | 13 | 1 | no | — |
| 230 | #127 | — | 13 | 1 | no | — |
| 231 | #127 | — | 13 | 1 | no | — |
| 232 | #127 | — | 26 | 1 | no | — |
| 233 | #127 | — | 52 | 1 | no | — |
| 234 | #127 | C4×D13 | 1 | 1 | yes | characteristic |
| 235 | #124 | — | 13 | 1 | no | — |
| 236 | #124 | C22×D13 | 1 | 1 | yes | characteristic |
| 237 | #121 | — | 52 | 1 | no | — |
| 238 | C4×D4 | — | 52 | 1 | no | — |
| 239 | #117 | — | 52 | 1 | no | — |
| 240 | C2×C42 | — | 13 | 1 | no | — |
| 241 | #101 | — | 2 | 1 | no | — |
| 242 | #101 | — | 26 | 1 | no | — |
| 243 | #100 | — | 52 | 1 | no | — |
| 244 | #99 | — | 2 | 1 | no | — |
| 245 | #99 | — | 26 | 1 | no | — |
| 246 | #99 | — | 52 | 1 | no | — |
| 247 | #97 | — | 13 | 1 | no | — |
| 248 | #97 | C4×D13 | 1 | 1 | yes | characteristic |
| 249 | C4×C8 | — | 26 | 1 | no | — |
| 250 | C2×C13 | — | 2 | 1 | no | — |
| 251 | C2×C13 | — | 8 | 1 | no | — |
| 252 | C2×C13 | — | 16 | 1 | no | — |
| 253 | C2×C13 | C2×#353 | 1 | 1 | yes | characteristic |
| 254 | D13 | — | 4 | 1 | no | — |
| 255 | D13 | — | 8 | 1 | no | — |
| 256 | D13 | — | 16 | 1 | no | — |
| 257 | C24 | — | 52 | 1 | no | — |
| 258 | #41 | — | 52 | 1 | no | — |
| 259 | #41 | — | 52 | 1 | no | — |
| 260 | #41 | — | 52 | 1 | no | — |
| 261 | #41 | — | 52 | 1 | no | — |
| 262 | C2×Q8 | — | 13 | 1 | no | — |
| 263 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 264 | C2×D4 | — | 2 | 1 | no | — |
| 265 | C2×D4 | — | 4 | 1 | no | — |
| 266 | C2×D4 | — | 13 | 1 | no | — |
| 267 | C2×D4 | — | 26 | 1 | no | — |
| 268 | C2×D4 | — | 26 | 1 | no | — |
| 269 | C2×D4 | — | 26 | 1 | no | — |
| 270 | C2×D4 | — | 52 | 1 | no | — |
| 271 | C2×D4 | — | 52 | 1 | no | — |
| 272 | C2×D4 | — | 52 | 1 | no | — |
| 273 | C2×D4 | — | 52 | 1 | no | — |
| 274 | C2×D4 | — | 52 | 1 | no | — |
| 275 | C2×D4 | — | 52 | 1 | no | — |
| 276 | C2×D4 | — | 52 | 1 | no | — |
| 277 | C2×D4 | — | 52 | 2 | no | — |
| 278 | C2×D4 | — | 104 | 4 | no | — |
| 279 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 280 | C22×C4 | — | 13 | 1 | no | — |
| 281 | C22×C4 | — | 26 | 1 | no | — |
| 282 | C22×C4 | — | 26 | 1 | no | — |
| 283 | C22×C4 | — | 26 | 1 | no | — |
| 284 | SD16 | — | 4 | 2 | no | — |
| 285 | SD16 | — | 52 | 2 | no | — |
| 286 | SD16 | — | 52 | 2 | no | — |
| 287 | SD16 | — | 52 | 2 | no | — |
| 288 | D8 | — | 4 | 2 | no | — |
| 289 | D8 | — | 52 | 2 | no | — |
| 290 | D8 | — | 52 | 2 | no | — |
| 291 | D8 | — | 52 | 2 | no | — |
| 292 | M16 | — | 4 | 1 | no | — |
| 293 | M16 | — | 26 | 2 | no | — |
| 294 | M16 | — | 26 | 2 | no | — |
| 295 | M16 | — | 52 | 1 | no | — |
| 296 | M16 | — | 104 | 1 | no | — |
| 297 | C2×C8 | — | 2 | 1 | no | — |
| 298 | C2×C8 | — | 26 | 1 | no | — |
| 299 | C2×C8 | — | 104 | 1 | no | — |
| 300 | C4⋊C4 | — | 52 | 1 | no | — |
| 301 | C4⋊C4 | — | 104 | 1 | no | — |
| 302 | C22⋊C4 | — | 4 | 1 | no | — |
| 303 | C22⋊C4 | — | 4 | 1 | no | — |
| 304 | C22⋊C4 | — | 52 | 1 | no | — |
| 305 | C22⋊C4 | — | 52 | 1 | no | — |
| 306 | C42 | — | 13 | 1 | no | — |
| 307 | C42 | — | 26 | 1 | no | — |
| 308 | C42 | — | 104 | 1 | no | — |
| 309 | C42 | C2×C4×D13 | 1 | 1 | yes | characteristic |
| 310 | C13 | #13579 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 311 | C23 | — | 2 | 1 | no | — |
| 312 | C23 | — | 4 | 1 | no | — |
| 313 | C23 | — | 13 | 1 | no | — |
| 314 | C23 | — | 26 | 1 | no | — |
| 315 | C23 | — | 52 | 1 | no | — |
| 316 | C23 | — | 104 | 1 | no | — |
| 317 | C23 | — | 104 | 1 | no | — |
| 318 | C23 | — | 104 | 4 | no | — |
| 319 | Q8 | — | 4 | 1 | no | — |
| 320 | Q8 | — | 52 | 1 | no | — |
| 321 | D4 | — | 4 | 1 | no | — |
| 322 | D4 | — | 4 | 1 | no | — |
| 323 | D4 | — | 4 | 1 | no | — |
| 324 | D4 | — | 8 | 2 | no | — |
| 325 | D4 | — | 52 | 1 | no | — |
| 326 | D4 | — | 52 | 1 | no | — |
| 327 | D4 | — | 52 | 1 | no | — |
| 328 | D4 | — | 104 | 1 | no | — |
| 329 | D4 | — | 104 | 2 | no | — |
| 330 | D4 | — | 104 | 1 | no | — |
| 331 | D4 | — | 104 | 1 | no | — |
| 332 | D4 | — | 104 | 2 | no | — |
| 333 | D4 | — | 104 | 4 | no | — |
| 334 | D4 | — | 104 | 1 | no | — |
| 335 | C2×C4 | — | 2 | 1 | no | — |
| 336 | C2×C4 | — | 2 | 1 | no | — |
| 337 | C2×C4 | — | 8 | 1 | no | — |
| 338 | C2×C4 | — | 13 | 1 | no | — |
| 339 | C2×C4 | — | 26 | 1 | no | — |
| 340 | C2×C4 | — | 26 | 1 | no | — |
| 341 | C2×C4 | — | 26 | 1 | no | — |
| 342 | C2×C4 | — | 26 | 1 | no | — |
| 343 | C2×C4 | — | 52 | 1 | no | — |
| 344 | C2×C4 | — | 52 | 1 | no | — |
| 345 | C2×C4 | — | 52 | 2 | no | — |
| 346 | C2×C4 | — | 52 | 1 | no | — |
| 347 | C2×C4 | — | 52 | 1 | no | — |
| 348 | C2×C4 | — | 104 | 1 | no | — |
| 349 | C2×C4 | C22⋊C4×D13 | 1 | 1 | yes | characteristic |
| 350 | C8 | — | 2 | 2 | no | — |
| 351 | C8 | — | 8 | 1 | no | — |
| 352 | C8 | — | 26 | 2 | no | — |
| 353 | C8 | — | 104 | 1 | no | — |
| 354 | C22 | — | 4 | 1 | no | — |
| 355 | C22 | — | 8 | 1 | no | — |
| 356 | C22 | — | 8 | 2 | no | — |
| 357 | C22 | — | 8 | 1 | no | — |
| 358 | C22 | — | 26 | 1 | no | — |
| 359 | C22 | — | 52 | 1 | no | — |
| 360 | C22 | — | 52 | 1 | no | — |
| 361 | C22 | — | 104 | 1 | no | — |
| 362 | C22 | — | 104 | 2 | no | — |
| 363 | C22 | — | 104 | 1 | no | — |
| 364 | C22 | — | 208 | 2 | no | — |
| 365 | C22 | — | 208 | 2 | no | — |
| 366 | C22 | D13×#99 | 1 | 1 | yes | characteristic |
| 367 | C4 | — | 2 | 1 | no | — |
| 368 | C4 | — | 4 | 1 | no | — |
| 369 | C4 | — | 4 | 1 | no | — |
| 370 | C4 | — | 13 | 1 | no | — |
| 371 | C4 | — | 13 | 1 | no | — |
| 372 | C4 | — | 16 | 1 | no | — |
| 373 | C4 | — | 26 | 2 | no | — |
| 374 | C4 | — | 52 | 1 | no | — |
| 375 | C4 | — | 208 | 1 | no | — |
| 376 | C2 | — | 2 | 1 | no | — |
| 377 | C2 | — | 8 | 1 | no | — |
| 378 | C2 | — | 16 | 1 | no | — |
| 379 | C2 | — | 52 | 1 | no | — |
| 380 | C2 | — | 104 | 1 | no | — |
| 381 | C2 | — | 208 | 1 | no | — |
| 382 | C2 | D13×#353 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13116518 | C2 | semidirect |
| 3. #13116500 | C2 | semidirect |
| 4. #13112994 | C2 | semidirect |
| 5. #13112993 | C2 | semidirect |
| 6. #13112992 | C2 | semidirect |
| 7. C13×#1406 | C2 | semidirect |
| 10. D13×#127 | C4 | semidirect |
| 15. #11718735 | C4 | semidirect |
| 19. #11718373 | C4 | semidirect |
| 20. #11718368 | C4 | semidirect |
| 21. C13×#355 | C22 | semidirect |
| 22. C13×#354 | C22 | semidirect |
| 23. #11718134 | C22 | semidirect |
| 24. #11718133 | C22 | semidirect |
| 126. #1406 | D13 | semidirect |
| 185. #355 | C2×D13 | semidirect |
| 187. #354 | C2×D13 | semidirect |
| 310. C13 | #13579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125285 | 2 |
| #13116518 | 2 |
| #13116500 | 2 |
| #13112994 | 2 |
| #13112993 | 2 |
| #13112992 | 2 |
| C13×#1406 | 2 |
| #13579 | 13 |