Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 61 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 | #13125630 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13116748 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13115831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13112848 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13112846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13112759 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#2187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×C13×D8 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#88192 | — | 2 | 1 | no | — |
| 10 | #11719332 | — | 2 | 1 | no | — |
| 11 | C2×C13×SD32 | — | 2 | 1 | no | — |
| 12 | C13×#467 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#88072 | — | 2 | 1 | no | — |
| 14 | #11718848 | — | 2 | 1 | no | — |
| 15 | C2×#88066 | — | 2 | 1 | no | — |
| 16 | #11718776 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88060 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11718709 | — | 2 | 1 | no | — |
| 19 | #11718546 | — | 2 | 1 | no | — |
| 20 | #11718475 | — | 2 | 1 | no | — |
| 21 | #11718472 | — | 2 | 1 | no | — |
| 22 | C13×#357 | — | 2 | 1 | no | — |
| 23 | C13×C22⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11718154 | — | 2 | 1 | no | — |
| 25 | #11718143 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22⋊#6090 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×D4×C13 | — | 2 | 1 | no | — |
| 28 | C22×C22⋊D13 | — | 4 | 1 | no | — |
| 29 | C2×#6131 | — | 2 | 1 | no | — |
| 30 | C22×C4×D13 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C13×Q16 | D4 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×C13×D8 | — | 2 | 1 | no | — |
| 33 | C2×C13×D8 | — | 2 | 1 | no | — |
| 34 | C2×C13×D8 | — | 4 | 2 | no | — |
| 35 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 36 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 37 | C2×C22⋊Dic13 | — | 4 | 1 | no | — |
| 38 | #88200 | — | 2 | 1 | no | — |
| 39 | C2×#6106 | — | 2 | 1 | no | — |
| 40 | #88192 | — | 4 | 2 | no | — |
| 41 | #88192 | — | 4 | 2 | no | — |
| 42 | #88184 | — | 2 | 1 | no | — |
| 43 | C2×C4⋊Dic13 | — | 2 | 1 | no | — |
| 44 | C22×#1055 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×D104 | D4 | 1 | 1 | yes | characteristic, complemented |
| 46 | #88149 | — | 2 | 1 | no | — |
| 47 | #88148 | — | 4 | 1 | no | — |
| 48 | #88147 | — | 4 | 1 | no | — |
| 49 | #88146 | — | 2 | 1 | no | — |
| 50 | #88136 | — | 4 | 1 | no | — |
| 51 | #88135 | — | 4 | 1 | no | — |
| 52 | C13×SD32 | — | 4 | 2 | no | — |
| 53 | C2×C13×C16 | — | 2 | 1 | no | — |
| 54 | C13×#107 | D4 | 1 | 1 | yes | characteristic, complemented |
| 55 | C13×#103 | — | 2 | 1 | no | — |
| 56 | #88075 | — | 2 | 1 | no | — |
| 57 | #88072 | — | 4 | 2 | no | — |
| 58 | #88066 | — | 4 | 2 | no | — |
| 59 | #88061 | — | 2 | 1 | no | — |
| 60 | #88060 | — | 2 | 1 | no | — |
| 61 | #88060 | — | 2 | 1 | no | — |
| 62 | #88058 | D4 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×#6090 | — | 2 | 1 | no | — |
| 64 | #88049 | — | 2 | 1 | no | — |
| 65 | #88048 | — | 2 | 1 | no | — |
| 66 | #12104 | — | 13 | 1 | no | maximal, Sylow |
| 67 | C24×C13 | — | 4 | 1 | no | — |
| 68 | C23×D13 | D8 | 1 | 1 | yes | characteristic |
| 69 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 70 | C2×D4×C13 | — | 2 | 2 | no | — |
| 71 | C2×D4×C13 | — | 4 | 1 | no | — |
| 72 | C2×D4×C13 | — | 4 | 1 | no | — |
| 73 | C2×D4×C13 | — | 4 | 1 | no | — |
| 74 | C2×D4×C13 | — | 4 | 1 | no | — |
| 75 | C2×D4×C13 | — | 4 | 1 | no | — |
| 76 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C2×C22⋊D13 | — | 4 | 4 | no | — |
| 78 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 79 | C2×C22⋊D13 | — | 8 | 2 | no | — |
| 80 | C2×C22⋊D13 | — | 8 | 2 | no | — |
| 81 | C22×Dic13 | — | 4 | 1 | no | — |
| 82 | C22×Dic13 | D8 | 1 | 1 | yes | characteristic |
| 83 | #6131 | — | 8 | 1 | no | — |
| 84 | #6131 | — | 8 | 1 | no | — |
| 85 | C2×D52 | — | 2 | 1 | no | — |
| 86 | C2×D52 | — | 4 | 1 | no | — |
| 87 | C2×D52 | — | 4 | 1 | no | — |
| 88 | C2×C4×D13 | — | 2 | 1 | no | — |
| 89 | C2×C4×D13 | — | 2 | 1 | no | — |
| 90 | C2×C4×D13 | — | 4 | 1 | no | — |
| 91 | C2×C4×D13 | — | 4 | 1 | no | — |
| 92 | C2×C4×D13 | — | 4 | 1 | no | — |
| 93 | C13×Q16 | — | 4 | 1 | no | — |
| 94 | C13×D8 | — | 2 | 2 | no | — |
| 95 | C13×D8 | — | 2 | 2 | no | — |
| 96 | C13×D8 | — | 4 | 1 | no | — |
| 97 | C13×D8 | — | 4 | 1 | no | — |
| 98 | C2×C8×C13 | — | 4 | 1 | no | — |
| 99 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 102 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 103 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 104 | C22⋊Dic13 | — | 4 | 4 | no | — |
| 105 | #6106 | — | 8 | 1 | no | — |
| 106 | #6103 | — | 4 | 1 | no | — |
| 107 | #6103 | — | 4 | 1 | no | — |
| 108 | #6103 | — | 4 | 1 | no | — |
| 109 | #6103 | — | 4 | 1 | no | — |
| 110 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 111 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 112 | C4⋊Dic13 | — | 4 | 1 | no | — |
| 113 | #6101 | — | 4 | 1 | no | — |
| 114 | C4×Dic13 | — | 4 | 1 | no | — |
| 115 | C2×#1055 | — | 2 | 1 | no | — |
| 116 | C2×#1055 | — | 4 | 1 | no | — |
| 117 | D104 | — | 4 | 1 | no | — |
| 118 | C13×C16 | — | 4 | 1 | no | — |
| 119 | #6090 | — | 4 | 1 | no | — |
| 120 | #3191 | — | 13 | 1 | no | — |
| 121 | #2187 | D13 | 1 | 1 | yes | characteristic, complemented |
| 122 | #2184 | — | 13 | 1 | no | — |
| 123 | #1999 | — | 13 | 1 | no | — |
| 124 | #1348 | — | 13 | 1 | no | — |
| 125 | #1347 | — | 13 | 1 | no | — |
| 126 | #1314 | — | 13 | 1 | no | — |
| 127 | C23×C13 | — | 4 | 2 | no | — |
| 128 | C23×C13 | — | 8 | 1 | no | — |
| 129 | C23×C13 | — | 8 | 1 | no | — |
| 130 | C23×C13 | — | 8 | 1 | no | — |
| 131 | C23×C13 | — | 8 | 1 | no | — |
| 132 | C23×C13 | — | 8 | 1 | no | — |
| 133 | C23×C13 | — | 8 | 1 | no | — |
| 134 | C23×C13 | C2×D8 | 1 | 1 | yes | characteristic |
| 135 | C22×D13 | — | 2 | 1 | no | — |
| 136 | C22×D13 | — | 2 | 1 | no | — |
| 137 | C22×D13 | — | 2 | 1 | no | — |
| 138 | C22×D13 | — | 4 | 1 | no | — |
| 139 | C22×D13 | — | 4 | 1 | no | — |
| 140 | C22×D13 | — | 4 | 1 | no | — |
| 141 | Q8×C13 | — | 4 | 1 | no | — |
| 142 | Q8×C13 | — | 4 | 1 | no | — |
| 143 | D4×C13 | — | 4 | 2 | no | — |
| 144 | D4×C13 | — | 4 | 2 | no | — |
| 145 | D4×C13 | — | 8 | 1 | no | — |
| 146 | D4×C13 | — | 8 | 1 | no | — |
| 147 | C2×C4×C13 | — | 2 | 1 | no | — |
| 148 | C2×C4×C13 | — | 2 | 1 | no | — |
| 149 | C2×C4×C13 | — | 4 | 1 | no | — |
| 150 | C2×C4×C13 | — | 4 | 1 | no | — |
| 151 | C2×C4×C13 | #120 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 153 | C22⋊D13 | — | 8 | 8 | no | — |
| 154 | C22⋊D13 | — | 8 | 1 | no | — |
| 155 | C22⋊D13 | — | 8 | 1 | no | — |
| 156 | C2×Dic13 | — | 2 | 1 | no | — |
| 157 | C2×Dic13 | — | 4 | 1 | no | — |
| 158 | C2×Dic13 | — | 4 | 2 | no | — |
| 159 | C2×Dic13 | — | 4 | 1 | no | — |
| 160 | C2×Dic13 | — | 8 | 1 | no | — |
| 161 | C2×Dic13 | — | 8 | 1 | no | — |
| 162 | D52 | — | 4 | 1 | no | — |
| 163 | D52 | — | 4 | 1 | no | — |
| 164 | D52 | — | 8 | 2 | no | — |
| 165 | D52 | — | 8 | 2 | no | — |
| 166 | C4×D13 | — | 4 | 1 | no | — |
| 167 | C4×D13 | — | 4 | 1 | no | — |
| 168 | C4×D13 | — | 8 | 1 | no | — |
| 169 | C4×D13 | — | 8 | 2 | no | — |
| 170 | C8×C13 | — | 2 | 1 | no | — |
| 171 | C8×C13 | — | 2 | 1 | no | — |
| 172 | #1055 | — | 4 | 1 | no | — |
| 173 | C22×D8 | C2×D13 | 1 | 1 | yes | characteristic |
| 174 | #525 | — | 26 | 1 | no | — |
| 175 | C2×#121 | — | 26 | 1 | no | — |
| 176 | C2×SD32 | — | 2 | 1 | no | — |
| 177 | C2×D16 | — | 26 | 1 | no | — |
| 178 | #485 | — | 26 | 1 | no | — |
| 179 | #482 | — | 26 | 1 | no | — |
| 180 | #467 | C2×D13 | 1 | 1 | yes | characteristic |
| 181 | #466 | — | 13 | 1 | no | — |
| 182 | #465 | — | 26 | 1 | no | — |
| 183 | #452 | — | 26 | 1 | no | — |
| 184 | #449 | — | 26 | 1 | no | — |
| 185 | C2×#102 | — | 26 | 1 | no | — |
| 186 | C2×C22⋊C8 | — | 13 | 1 | no | — |
| 187 | #357 | — | 2 | 1 | no | — |
| 188 | #357 | — | 26 | 1 | no | — |
| 189 | C22⋊C16 | — | 13 | 1 | no | — |
| 190 | C22⋊C16 | C2×D13 | 1 | 1 | yes | characteristic |
| 191 | #340 | — | 13 | 1 | no | — |
| 192 | C22×C13 | — | 2 | 1 | no | — |
| 193 | C22×C13 | — | 2 | 1 | no | — |
| 194 | C22×C13 | — | 8 | 2 | no | — |
| 195 | C22×C13 | — | 8 | 2 | no | — |
| 196 | C22×C13 | — | 8 | 2 | no | — |
| 197 | C22×C13 | — | 16 | 1 | no | — |
| 198 | C22×C13 | — | 16 | 1 | no | — |
| 199 | C22×C13 | — | 16 | 1 | no | — |
| 200 | C22×C13 | — | 16 | 1 | no | — |
| 201 | C22×C13 | #447 | 1 | 1 | yes | characteristic |
| 202 | C22×C13 | #508 | 1 | 1 | yes | characteristic |
| 203 | C22×C13 | #509 | 1 | 1 | yes | characteristic |
| 204 | C2×D13 | — | 4 | 2 | no | — |
| 205 | C2×D13 | — | 4 | 1 | no | — |
| 206 | C2×D13 | — | 4 | 1 | no | — |
| 207 | C2×D13 | — | 4 | 1 | no | — |
| 208 | C2×D13 | — | 8 | 1 | no | — |
| 209 | C2×D13 | — | 8 | 1 | no | — |
| 210 | C2×D13 | — | 8 | 1 | no | — |
| 211 | C2×D13 | — | 8 | 1 | no | — |
| 212 | C4×C13 | — | 2 | 1 | no | — |
| 213 | C4×C13 | — | 8 | 1 | no | — |
| 214 | C4×C13 | — | 8 | 1 | no | — |
| 215 | C4×C13 | #453 | 1 | 1 | yes | characteristic |
| 216 | C4×C13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 217 | Dic13 | — | 4 | 1 | no | — |
| 218 | Dic13 | — | 8 | 2 | no | — |
| 219 | Dic13 | — | 8 | 1 | no | — |
| 220 | C2×#41 | — | 26 | 1 | no | — |
| 221 | C22×D4 | — | 2 | 1 | no | — |
| 222 | C22×D4 | — | 52 | 1 | no | — |
| 223 | C23×C4 | — | 13 | 1 | no | — |
| 224 | C2×Q16 | C22⋊D13 | 1 | 1 | yes | characteristic, complemented |
| 225 | C2×SD16 | — | 26 | 1 | no | — |
| 226 | C2×D8 | — | 2 | 1 | no | — |
| 227 | C2×D8 | — | 2 | 1 | no | — |
| 228 | C2×D8 | — | 4 | 2 | no | — |
| 229 | C2×D8 | — | 13 | 1 | no | — |
| 230 | C22×C8 | — | 13 | 1 | no | — |
| 231 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 232 | #123 | — | 52 | 1 | no | — |
| 233 | C22⋊Q8 | — | 2 | 1 | no | — |
| 234 | C22⋊Q8 | — | 26 | 1 | no | — |
| 235 | #121 | — | 26 | 1 | no | — |
| 236 | #121 | — | 26 | 1 | no | — |
| 237 | #121 | — | 52 | 2 | no | — |
| 238 | #121 | — | 52 | 2 | no | — |
| 239 | #120 | — | 52 | 1 | no | — |
| 240 | C4×D4 | — | 52 | 1 | no | — |
| 241 | C4×D4 | — | 52 | 1 | no | — |
| 242 | #117 | — | 26 | 1 | no | — |
| 243 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 244 | C2×C22⋊C4 | — | 52 | 1 | no | — |
| 245 | SD32 | — | 4 | 2 | no | — |
| 246 | D16 | — | 52 | 2 | no | — |
| 247 | C2×C16 | — | 2 | 1 | no | — |
| 248 | C2×C16 | — | 26 | 1 | no | — |
| 249 | #107 | — | 13 | 1 | no | — |
| 250 | #107 | C22⋊D13 | 1 | 1 | yes | characteristic, complemented |
| 251 | #106 | — | 26 | 1 | no | — |
| 252 | #103 | — | 2 | 1 | no | — |
| 253 | #103 | — | 26 | 1 | no | — |
| 254 | #102 | — | 26 | 1 | no | — |
| 255 | #102 | — | 26 | 1 | no | — |
| 256 | #102 | — | 52 | 2 | no | — |
| 257 | C22⋊C8 | — | 26 | 1 | no | — |
| 258 | C22⋊C8 | — | 26 | 1 | no | — |
| 259 | C2×C13 | — | 2 | 1 | no | — |
| 260 | C2×C13 | — | 2 | 1 | no | — |
| 261 | C2×C13 | — | 16 | 2 | no | — |
| 262 | C2×C13 | #1595 | 1 | 1 | yes | characteristic |
| 263 | C2×C13 | #2186 | 1 | 1 | yes | characteristic |
| 264 | C2×C13 | #2190 | 1 | 1 | yes | characteristic |
| 265 | D13 | — | 8 | 1 | no | — |
| 266 | D13 | — | 16 | 1 | no | — |
| 267 | C24 | — | 4 | 1 | no | — |
| 268 | C24 | — | 13 | 1 | no | — |
| 269 | #41 | — | 104 | 1 | no | — |
| 270 | #41 | — | 104 | 1 | no | — |
| 271 | C2×Q8 | — | 2 | 1 | no | — |
| 272 | C2×D4 | — | 2 | 2 | no | — |
| 273 | C2×D4 | — | 4 | 1 | no | — |
| 274 | C2×D4 | — | 4 | 1 | no | — |
| 275 | C2×D4 | — | 4 | 1 | no | — |
| 276 | C2×D4 | — | 4 | 1 | no | — |
| 277 | C2×D4 | — | 4 | 1 | no | — |
| 278 | C2×D4 | — | 26 | 1 | no | — |
| 279 | C2×D4 | — | 52 | 1 | no | — |
| 280 | C2×D4 | — | 52 | 1 | no | — |
| 281 | C2×D4 | — | 52 | 4 | no | — |
| 282 | C2×D4 | — | 52 | 1 | no | — |
| 283 | C2×D4 | — | 104 | 2 | no | — |
| 284 | C2×D4 | — | 104 | 2 | no | — |
| 285 | C22×C4 | — | 13 | 1 | no | — |
| 286 | C22×C4 | — | 26 | 1 | no | — |
| 287 | C22×C4 | — | 26 | 1 | no | — |
| 288 | C22×C4 | — | 52 | 1 | no | — |
| 289 | C22×C4 | — | 52 | 1 | no | — |
| 290 | C22×C4 | — | 52 | 1 | no | — |
| 291 | C22×C4 | — | 52 | 1 | no | — |
| 292 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 293 | Q16 | — | 4 | 1 | no | — |
| 294 | SD16 | — | 104 | 1 | no | — |
| 295 | D8 | — | 2 | 2 | no | — |
| 296 | D8 | — | 2 | 2 | no | — |
| 297 | D8 | — | 4 | 1 | no | — |
| 298 | D8 | — | 4 | 1 | no | — |
| 299 | D8 | — | 52 | 1 | no | — |
| 300 | C2×C8 | — | 4 | 1 | no | — |
| 301 | C2×C8 | — | 26 | 1 | no | — |
| 302 | C2×C8 | — | 52 | 1 | no | — |
| 303 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 304 | C2×C8 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 305 | C4⋊C4 | — | 2 | 1 | no | — |
| 306 | C4⋊C4 | — | 4 | 1 | no | — |
| 307 | C4⋊C4 | — | 26 | 2 | no | — |
| 308 | C4⋊C4 | — | 26 | 1 | no | — |
| 309 | C4⋊C4 | — | 52 | 1 | no | — |
| 310 | C4⋊C4 | — | 52 | 1 | no | — |
| 311 | C22⋊C4 | — | 4 | 1 | no | — |
| 312 | C22⋊C4 | — | 52 | 1 | no | — |
| 313 | C22⋊C4 | — | 52 | 1 | no | — |
| 314 | C22⋊C4 | — | 52 | 1 | no | — |
| 315 | C22⋊C4 | — | 52 | 4 | no | — |
| 316 | C22⋊C4 | — | 52 | 1 | no | — |
| 317 | C42 | — | 52 | 1 | no | — |
| 318 | C16 | — | 4 | 1 | no | — |
| 319 | C16 | — | 52 | 1 | no | — |
| 320 | C13 | #12104 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 321 | C23 | — | 4 | 2 | no | — |
| 322 | C23 | — | 8 | 1 | no | — |
| 323 | C23 | — | 8 | 1 | no | — |
| 324 | C23 | — | 8 | 1 | no | — |
| 325 | C23 | — | 8 | 1 | no | — |
| 326 | C23 | — | 8 | 1 | no | — |
| 327 | C23 | — | 8 | 1 | no | — |
| 328 | C23 | — | 26 | 1 | no | — |
| 329 | C23 | — | 26 | 1 | no | — |
| 330 | C23 | — | 26 | 1 | no | — |
| 331 | C23 | — | 52 | 1 | no | — |
| 332 | C23 | — | 52 | 1 | no | — |
| 333 | C23 | — | 52 | 1 | no | — |
| 334 | C23 | D8×D13 | 1 | 1 | yes | characteristic |
| 335 | Q8 | — | 4 | 1 | no | — |
| 336 | Q8 | — | 4 | 1 | no | — |
| 337 | D4 | — | 4 | 2 | no | — |
| 338 | D4 | — | 4 | 2 | no | — |
| 339 | D4 | — | 8 | 1 | no | — |
| 340 | D4 | — | 8 | 1 | no | — |
| 341 | D4 | — | 52 | 1 | no | — |
| 342 | D4 | — | 52 | 1 | no | — |
| 343 | D4 | — | 104 | 2 | no | — |
| 344 | D4 | — | 104 | 2 | no | — |
| 345 | D4 | — | 104 | 8 | no | — |
| 346 | D4 | — | 104 | 1 | no | — |
| 347 | D4 | — | 104 | 1 | no | — |
| 348 | C2×C4 | — | 2 | 1 | no | — |
| 349 | C2×C4 | — | 2 | 1 | no | — |
| 350 | C2×C4 | — | 4 | 1 | no | — |
| 351 | C2×C4 | — | 4 | 1 | no | — |
| 352 | C2×C4 | — | 26 | 1 | no | — |
| 353 | C2×C4 | — | 52 | 1 | no | — |
| 354 | C2×C4 | — | 52 | 1 | no | — |
| 355 | C2×C4 | — | 52 | 1 | no | — |
| 356 | C2×C4 | — | 52 | 2 | no | — |
| 357 | C2×C4 | — | 52 | 1 | no | — |
| 358 | C2×C4 | — | 104 | 1 | no | — |
| 359 | C2×C4 | — | 104 | 2 | no | — |
| 360 | C2×C4 | — | 104 | 1 | no | — |
| 361 | C2×C4 | — | 104 | 1 | no | — |
| 362 | C2×C4 | #88165 | 1 | 1 | yes | characteristic |
| 363 | C2×C4 | #88191 | 1 | 1 | yes | characteristic |
| 364 | C8 | — | 2 | 1 | no | — |
| 365 | C8 | — | 2 | 1 | no | — |
| 366 | C8 | — | 52 | 1 | no | — |
| 367 | C22 | — | 2 | 1 | no | — |
| 368 | C22 | — | 2 | 1 | no | — |
| 369 | C22 | — | 8 | 2 | no | — |
| 370 | C22 | — | 8 | 2 | no | — |
| 371 | C22 | — | 8 | 2 | no | — |
| 372 | C22 | — | 16 | 1 | no | — |
| 373 | C22 | — | 16 | 1 | no | — |
| 374 | C22 | — | 16 | 1 | no | — |
| 375 | C22 | — | 16 | 1 | no | — |
| 376 | C22 | — | 52 | 2 | no | — |
| 377 | C22 | — | 52 | 1 | no | — |
| 378 | C22 | — | 52 | 1 | no | — |
| 379 | C22 | — | 52 | 1 | no | — |
| 380 | C22 | — | 104 | 1 | no | — |
| 381 | C22 | — | 104 | 1 | no | — |
| 382 | C22 | — | 104 | 1 | no | — |
| 383 | C22 | — | 104 | 1 | no | — |
| 384 | C22 | #11718575 | 1 | 1 | yes | characteristic |
| 385 | C22 | #11718577 | 1 | 1 | yes | characteristic |
| 386 | C22 | #11718817 | 1 | 1 | yes | characteristic |
| 387 | C4 | — | 2 | 1 | no | — |
| 388 | C4 | — | 8 | 1 | no | — |
| 389 | C4 | — | 8 | 1 | no | — |
| 390 | C4 | — | 52 | 1 | no | — |
| 391 | C4 | — | 104 | 2 | no | — |
| 392 | C4 | — | 104 | 1 | no | — |
| 393 | C4 | #11718693 | 1 | 1 | yes | characteristic |
| 394 | C4 | #11718859 | 1 | 1 | yes | characteristic |
| 395 | C2 | — | 2 | 1 | no | — |
| 396 | C2 | — | 2 | 1 | no | — |
| 397 | C2 | — | 16 | 2 | no | — |
| 398 | C2 | — | 104 | 1 | no | — |
| 399 | C2 | — | 208 | 1 | no | — |
| 400 | C2 | #13113752 | 1 | 1 | yes | characteristic |
| 401 | C2 | #13116758 | 1 | 1 | yes | characteristic |
| 402 | C2 | #13116780 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13125630 | C2 | semidirect |
| 2. #13116748 | C2 | semidirect |
| 3. #13115831 | C2 | semidirect |
| 4. #13112848 | C2 | semidirect |
| 5. #13112846 | C2 | semidirect |
| 6. #13112759 | C2 | semidirect |
| 7. C13×#2187 | C2 | semidirect |
| 31. C2×C13×Q16 | D4 | semidirect |
| 45. C2×D104 | D4 | semidirect |
| 54. C13×#107 | D4 | semidirect |
| 62. #88058 | D4 | semidirect |
| 121. #2187 | D13 | semidirect |
| 224. C2×Q16 | C22⋊D13 | semidirect |
| 250. #107 | C22⋊D13 | semidirect |
| 320. C13 | #12104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125630 | 2 |
| #13116748 | 2 |
| #13115831 | 2 |
| #13112848 | 2 |
| #13112846 | 2 |
| #13112759 | 2 |
| C13×#2187 | 2 |
| #12104 | 13 |