Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
974 conjugacy classes of subgroups; only the 226 normal subgroups are shown.
This group has 974 conjugacy classes of subgroups — too many to draw. Only its 226 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 | #13131738 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131276 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13130240 | C2 | 1 | 3 | yes | maximal |
| 4 | #13130230 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #13130220 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #13130209 | C2 | 1 | 3 | yes | maximal |
| 7 | #13128933 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×Q8×#261 | — | 2 | 1 | no | — |
| 9 | C13×#557 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | #11719437 | C4 | 1 | 3 | yes | complemented |
| 11 | #11719433 | C22 | 1 | 3 | yes | — |
| 12 | #11719402 | — | 2 | 3 | no | — |
| 13 | #11719399 | — | 2 | 3 | no | — |
| 14 | #11719285 | C22 | 1 | 3 | yes | — |
| 15 | Q8×D52 | — | 2 | 1 | no | — |
| 16 | Q8×D52 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11719277 | — | 2 | 1 | no | — |
| 18 | C4×Q8×D13 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11719275 | C4 | 1 | 3 | yes | complemented |
| 20 | Q8×#1057 | — | 2 | 1 | no | — |
| 21 | C4⋊C4×#261 | — | 2 | 3 | no | — |
| 22 | #11719080 | — | 2 | 3 | no | — |
| 23 | C4×C4⋊#261 | C22 | 1 | 3 | yes | — |
| 24 | #11719057 | C22 | 1 | 3 | yes | — |
| 25 | #11719054 | C22 | 1 | 3 | yes | — |
| 26 | #11719051 | C22 | 1 | 3 | yes | — |
| 27 | #11718298 | C22 | 1 | 6 | yes | — |
| 28 | #11718298 | C22 | 1 | 3 | yes | — |
| 29 | #11718298 | C22 | 1 | 3 | yes | — |
| 30 | #11718240 | C22 | 1 | 3 | yes | — |
| 31 | #11718240 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 33 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 34 | Q8×#261 | — | 2 | 8 | no | — |
| 35 | C2×C4⋊#261 | — | 2 | 3 | no | — |
| 36 | C2×C4×#261 | — | 2 | 3 | no | — |
| 37 | C2×C4×#261 | — | 2 | 3 | no | — |
| 38 | C13×C4⋊Q8 | C2×C4 | 1 | 3 | yes | — |
| 39 | C13×#125 | — | 2 | 3 | no | — |
| 40 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 41 | C4×Q8×C13 | C2×C4 | 1 | 3 | yes | — |
| 42 | C4×Q8×C13 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | #88201 | C2×C4 | 1 | 3 | yes | — |
| 44 | #88200 | C23 | 1 | 3 | yes | — |
| 45 | Q8×Dic13 | C2×C4 | 1 | 6 | yes | — |
| 46 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 47 | #88152 | — | 2 | 6 | no | — |
| 48 | #88152 | — | 2 | 3 | no | — |
| 49 | #88151 | — | 2 | 3 | no | — |
| 50 | #88151 | — | 2 | 3 | no | — |
| 51 | #88151 | — | 2 | 3 | no | — |
| 52 | #88149 | C23 | 1 | 1 | yes | characteristic |
| 53 | #88148 | — | 2 | 3 | no | — |
| 54 | #88146 | — | 2 | 3 | no | — |
| 55 | #88146 | — | 2 | 3 | no | — |
| 56 | C4⋊C4×D13 | D4 | 1 | 3 | yes | — |
| 57 | #88144 | — | 2 | 6 | no | — |
| 58 | #88144 | — | 2 | 3 | no | — |
| 59 | #88144 | C2×C4 | 1 | 3 | yes | — |
| 60 | #88141 | — | 2 | 3 | no | — |
| 61 | #88141 | D4 | 1 | 3 | yes | — |
| 62 | C4×D52 | — | 2 | 3 | no | — |
| 63 | C4×D52 | C2×C4 | 1 | 3 | yes | — |
| 64 | #88126 | — | 2 | 3 | no | — |
| 65 | C42×D13 | C23 | 1 | 3 | yes | — |
| 66 | #88123 | — | 2 | 3 | no | — |
| 67 | #88123 | C2×C4 | 1 | 3 | yes | — |
| 68 | C4×Dic26 | — | 2 | 3 | no | — |
| 69 | C4×Dic26 | C2×C4 | 1 | 3 | yes | — |
| 70 | (C2×#261)⋊C4 | — | 2 | 3 | no | — |
| 71 | (C2×#261)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 72 | (C2×#261)⋊C4 | C23 | 1 | 3 | yes | — |
| 73 | #88111 | C23 | 1 | 1 | yes | characteristic |
| 74 | #88111 | C23 | 1 | 3 | yes | — |
| 75 | #88110 | — | 2 | 3 | no | — |
| 76 | C4⋊#1057 | — | 2 | 3 | no | — |
| 77 | C4⋊#1057 | — | 2 | 3 | no | — |
| 78 | C4×#1057 | — | 2 | 3 | no | — |
| 79 | #17549 | — | 13 | 1 | no | maximal, Sylow |
| 80 | C22×#261 | — | 2 | 1 | no | — |
| 81 | C22×#261 | — | 2 | 3 | no | — |
| 82 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 83 | C2×Q8×C13 | C22×C4 | 1 | 3 | yes | — |
| 84 | Q8×D13 | — | 2 | 4 | no | — |
| 85 | Q8×D13 | — | 4 | 4 | no | — |
| 86 | C2×D52 | — | 2 | 1 | no | — |
| 87 | C2×D52 | C22×C4 | 1 | 1 | yes | characteristic |
| 88 | C2×C4×D13 | — | 2 | 3 | no | — |
| 89 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 90 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 91 | C2×C4×D13 | C24 | 1 | 1 | yes | characteristic |
| 92 | C2×Dic26 | — | 2 | 3 | no | — |
| 93 | C2×Dic26 | C22⋊C4 | 1 | 3 | yes | — |
| 94 | C2×#1057 | — | 2 | 1 | no | — |
| 95 | C2×#1057 | — | 2 | 3 | no | — |
| 96 | C4⋊#261 | — | 2 | 12 | no | — |
| 97 | C4×#261 | — | 2 | 12 | no | — |
| 98 | C4×#261 | — | 8 | 3 | no | — |
| 99 | C13×C4⋊C4 | — | 2 | 3 | no | — |
| 100 | C13×C4⋊C4 | — | 2 | 3 | no | — |
| 101 | C13×C4⋊C4 | — | 2 | 3 | no | — |
| 102 | C13×C4⋊C4 | C22⋊C4 | 1 | 3 | yes | — |
| 103 | C13×C4⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C42×C13 | — | 2 | 3 | no | — |
| 105 | C42×C13 | C22×C4 | 1 | 3 | yes | — |
| 106 | #6103 | — | 2 | 3 | no | — |
| 107 | #6103 | — | 2 | 3 | no | — |
| 108 | #6103 | — | 2 | 3 | no | — |
| 109 | #6103 | — | 2 | 3 | no | — |
| 110 | #6103 | — | 2 | 1 | no | — |
| 111 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 112 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 113 | C4⋊Dic13 | — | 2 | 6 | no | — |
| 114 | C4⋊Dic13 | C22⋊C4 | 1 | 3 | yes | — |
| 115 | C4⋊Dic13 | C22×C4 | 1 | 3 | yes | — |
| 116 | #6101 | — | 2 | 3 | no | — |
| 117 | #6101 | — | 2 | 3 | no | — |
| 118 | #6101 | C22⋊C4 | 1 | 6 | yes | — |
| 119 | C4×Dic13 | — | 2 | 6 | no | — |
| 120 | C4×Dic13 | C22×C4 | 1 | 3 | yes | — |
| 121 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 122 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 123 | #3523 | — | 13 | 1 | no | — |
| 124 | #2984 | — | 13 | 1 | no | — |
| 125 | #2276 | — | 13 | 1 | no | — |
| 126 | #1509 | — | 13 | 3 | no | — |
| 127 | #1506 | — | 13 | 3 | no | — |
| 128 | #1503 | — | 13 | 3 | no | — |
| 129 | #1500 | — | 13 | 3 | no | — |
| 130 | C22×D13 | — | 2 | 1 | no | — |
| 131 | C22×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×#261 | — | 2 | 2 | no | — |
| 133 | C2×#261 | — | 2 | 6 | no | — |
| 134 | C2×#261 | — | 4 | 1 | no | — |
| 135 | C2×#261 | — | 4 | 3 | no | — |
| 136 | C2×#261 | — | 4 | 3 | no | — |
| 137 | C2×#261 | — | 4 | 1 | no | — |
| 138 | Q8×C13 | — | 4 | 3 | no | — |
| 139 | Q8×C13 | #104 | 1 | 4 | yes | — |
| 140 | C2×C4×C13 | — | 2 | 3 | no | — |
| 141 | C2×C4×C13 | — | 2 | 1 | no | — |
| 142 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 143 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 144 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 145 | C2×Dic13 | — | 2 | 3 | no | — |
| 146 | C2×Dic13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 147 | C2×Dic13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 148 | C2×Dic13 | C22×D4 | 1 | 1 | yes | characteristic |
| 149 | D52 | — | 4 | 1 | no | — |
| 150 | D52 | — | 4 | 1 | no | — |
| 151 | D52 | — | 4 | 1 | no | — |
| 152 | C4×D13 | — | 2 | 3 | no | — |
| 153 | C4×D13 | — | 2 | 3 | no | — |
| 154 | C4×D13 | — | 2 | 6 | no | — |
| 155 | C4×D13 | — | 4 | 1 | no | — |
| 156 | C4×D13 | — | 4 | 6 | no | — |
| 157 | Dic26 | — | 2 | 6 | no | — |
| 158 | Dic26 | — | 4 | 6 | no | — |
| 159 | #1057 | — | 4 | 1 | no | — |
| 160 | #1057 | — | 4 | 3 | no | — |
| 161 | #557 | — | 13 | 3 | no | — |
| 162 | #557 | #261 | 1 | 1 | yes | characteristic, complemented |
| 163 | #556 | — | 13 | 3 | no | — |
| 164 | #552 | — | 26 | 3 | no | — |
| 165 | D4×Q8 | — | 13 | 1 | no | — |
| 166 | D4×Q8 | — | 26 | 1 | no | — |
| 167 | #541 | — | 26 | 3 | no | — |
| 168 | #533 | — | 13 | 3 | no | — |
| 169 | #529 | — | 13 | 3 | no | — |
| 170 | #519 | — | 26 | 1 | no | — |
| 171 | C2×C4×Q8 | — | 13 | 1 | no | — |
| 172 | C2×C4×Q8 | — | 26 | 1 | no | — |
| 173 | #446 | — | 26 | 3 | no | — |
| 174 | C8×Q8 | — | 26 | 1 | no | — |
| 175 | #432 | — | 13 | 3 | no | — |
| 176 | #431 | — | 13 | 3 | no | — |
| 177 | C4×C4⋊C4 | — | 13 | 3 | no | — |
| 178 | C4×C4⋊C4 | — | 26 | 3 | no | — |
| 179 | #376 | — | 13 | 3 | no | — |
| 180 | #328 | — | 13 | 3 | no | — |
| 181 | #328 | — | 13 | 3 | no | — |
| 182 | #328 | — | 13 | 6 | no | — |
| 183 | #327 | — | 13 | 1 | no | — |
| 184 | #327 | — | 13 | 3 | no | — |
| 185 | C22×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 186 | C2×D13 | — | 2 | 1 | no | — |
| 187 | C2×D13 | — | 2 | 1 | no | — |
| 188 | C2×D13 | — | 4 | 1 | no | — |
| 189 | C2×D13 | — | 4 | 1 | no | — |
| 190 | C2×D13 | — | 4 | 1 | no | — |
| 191 | C2×D13 | #577 | 1 | 1 | yes | characteristic |
| 192 | C2×D13 | #578 | 1 | 1 | yes | characteristic |
| 193 | #261 | — | 4 | 6 | no | — |
| 194 | #261 | — | 4 | 2 | no | — |
| 195 | C4×C13 | — | 2 | 1 | no | — |
| 196 | C4×C13 | — | 2 | 3 | no | — |
| 197 | C4×C13 | — | 4 | 3 | no | — |
| 198 | C4×C13 | — | 4 | 1 | no | — |
| 199 | C4×C13 | C2×#104 | 1 | 6 | yes | — |
| 200 | Dic13 | — | 2 | 1 | no | — |
| 201 | Dic13 | — | 2 | 3 | no | — |
| 202 | Dic13 | — | 2 | 3 | no | — |
| 203 | Dic13 | — | 4 | 3 | no | — |
| 204 | C22×Q8 | — | 13 | 1 | no | — |
| 205 | C22×Q8 | — | 26 | 1 | no | — |
| 206 | C4⋊Q8 | — | 13 | 3 | no | — |
| 207 | C4⋊Q8 | — | 26 | 3 | no | — |
| 208 | C4⋊Q8 | C2×#261 | 1 | 3 | yes | — |
| 209 | #126 | — | 26 | 3 | no | — |
| 210 | #126 | — | 26 | 6 | no | — |
| 211 | #125 | — | 2 | 3 | no | — |
| 212 | #125 | — | 13 | 3 | no | — |
| 213 | #125 | — | 26 | 3 | no | — |
| 214 | #125 | — | 26 | 6 | no | — |
| 215 | #124 | — | 13 | 3 | no | — |
| 216 | #123 | — | 26 | 3 | no | — |
| 217 | C22⋊Q8 | — | 13 | 3 | no | — |
| 218 | C22⋊Q8 | — | 26 | 3 | no | — |
| 219 | C22⋊Q8 | — | 26 | 3 | no | — |
| 220 | C22⋊Q8 | — | 26 | 3 | no | — |
| 221 | #121 | — | 13 | 1 | no | — |
| 222 | C4×Q8 | — | 2 | 1 | no | — |
| 223 | C4×Q8 | — | 13 | 1 | no | — |
| 224 | C4×Q8 | — | 13 | 3 | no | — |
| 225 | C4×Q8 | — | 13 | 3 | no | — |
| 226 | C4×Q8 | — | 13 | 6 | no | — |
| 227 | C4×Q8 | — | 26 | 3 | no | — |
| 228 | C4×Q8 | — | 26 | 3 | no | — |
| 229 | C4×Q8 | — | 26 | 8 | no | — |
| 230 | C4×Q8 | C2×#261 | 1 | 3 | yes | — |
| 231 | C4×Q8 | C2×#261 | 1 | 1 | yes | characteristic |
| 232 | C4×D4 | — | 13 | 3 | no | — |
| 233 | C4×D4 | — | 26 | 3 | no | — |
| 234 | #117 | — | 26 | 3 | no | — |
| 235 | #117 | — | 26 | 3 | no | — |
| 236 | #117 | — | 26 | 3 | no | — |
| 237 | C2×C4⋊C4 | — | 13 | 3 | no | — |
| 238 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 239 | C2×C42 | — | 13 | 3 | no | — |
| 240 | C2×C42 | — | 26 | 3 | no | — |
| 241 | C2×C42 | — | 26 | 3 | no | — |
| 242 | C4⋊C8 | — | 26 | 3 | no | — |
| 243 | C4⋊C8 | — | 26 | 3 | no | — |
| 244 | C22⋊C8 | — | 13 | 1 | no | — |
| 245 | C22⋊C8 | — | 13 | 3 | no | — |
| 246 | #97 | — | 26 | 3 | no | — |
| 247 | C4×C8 | — | 26 | 3 | no | — |
| 248 | #95 | — | 13 | 1 | no | — |
| 249 | #95 | — | 13 | 3 | no | — |
| 250 | #95 | — | 26 | 3 | no | — |
| 251 | C2×C13 | #2884 | 1 | 1 | yes | characteristic |
| 252 | C2×C13 | #2898 | 1 | 1 | yes | characteristic |
| 253 | C2×C13 | C22×#104 | 1 | 1 | yes | characteristic |
| 254 | D13 | — | 2 | 1 | no | — |
| 255 | D13 | — | 2 | 1 | no | — |
| 256 | D13 | — | 8 | 1 | no | — |
| 257 | C2×Q8 | — | 13 | 3 | no | — |
| 258 | C2×Q8 | — | 26 | 4 | no | — |
| 259 | C2×Q8 | — | 26 | 3 | no | — |
| 260 | C2×Q8 | — | 52 | 4 | no | — |
| 261 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 262 | C2×Q8 | C22×#261 | 1 | 3 | yes | — |
| 263 | C2×D4 | — | 13 | 1 | no | — |
| 264 | C2×D4 | — | 26 | 1 | no | — |
| 265 | C22×C4 | — | 13 | 3 | no | — |
| 266 | C22×C4 | — | 13 | 3 | no | — |
| 267 | C22×C4 | — | 13 | 1 | no | — |
| 268 | C22×C4 | — | 26 | 1 | no | — |
| 269 | C22×C4 | — | 26 | 3 | no | — |
| 270 | C22×C4 | — | 26 | 3 | no | — |
| 271 | C2×C8 | — | 26 | 1 | no | — |
| 272 | C2×C8 | — | 26 | 3 | no | — |
| 273 | C4⋊C4 | — | 2 | 3 | no | — |
| 274 | C4⋊C4 | — | 2 | 3 | no | — |
| 275 | C4⋊C4 | — | 2 | 3 | no | — |
| 276 | C4⋊C4 | — | 13 | 3 | no | — |
| 277 | C4⋊C4 | — | 13 | 6 | no | — |
| 278 | C4⋊C4 | — | 13 | 3 | no | — |
| 279 | C4⋊C4 | — | 26 | 3 | no | — |
| 280 | C4⋊C4 | — | 26 | 3 | no | — |
| 281 | C4⋊C4 | — | 26 | 3 | no | — |
| 282 | C4⋊C4 | — | 26 | 6 | no | — |
| 283 | C4⋊C4 | — | 26 | 12 | no | — |
| 284 | C4⋊C4 | — | 26 | 3 | no | — |
| 285 | C4⋊C4 | C22⋊#261 | 1 | 3 | yes | — |
| 286 | C4⋊C4 | C22×#261 | 1 | 1 | yes | characteristic |
| 287 | C22⋊C4 | — | 26 | 1 | no | — |
| 288 | C22⋊C4 | — | 26 | 3 | no | — |
| 289 | C22⋊C4 | — | 26 | 3 | no | — |
| 290 | C22⋊C4 | — | 26 | 3 | no | — |
| 291 | C22⋊C4 | — | 26 | 3 | no | — |
| 292 | C42 | — | 2 | 3 | no | — |
| 293 | C42 | — | 13 | 3 | no | — |
| 294 | C42 | — | 13 | 3 | no | — |
| 295 | C42 | — | 13 | 3 | no | — |
| 296 | C42 | — | 26 | 6 | no | — |
| 297 | C42 | — | 26 | 12 | no | — |
| 298 | C42 | — | 104 | 3 | no | — |
| 299 | C42 | C22×#261 | 1 | 3 | yes | — |
| 300 | C13 | #17549 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 301 | C23 | — | 13 | 1 | no | — |
| 302 | C23 | — | 26 | 1 | no | — |
| 303 | Q8 | — | 4 | 3 | no | — |
| 304 | Q8 | — | 26 | 6 | no | — |
| 305 | Q8 | — | 52 | 6 | no | — |
| 306 | Q8 | #88118 | 1 | 4 | yes | — |
| 307 | D4 | — | 52 | 1 | no | — |
| 308 | D4 | — | 52 | 1 | no | — |
| 309 | D4 | — | 52 | 1 | no | — |
| 310 | C2×C4 | — | 2 | 1 | no | — |
| 311 | C2×C4 | — | 2 | 3 | no | — |
| 312 | C2×C4 | — | 13 | 1 | no | — |
| 313 | C2×C4 | — | 13 | 3 | no | — |
| 314 | C2×C4 | — | 13 | 3 | no | — |
| 315 | C2×C4 | — | 26 | 3 | no | — |
| 316 | C2×C4 | — | 26 | 3 | no | — |
| 317 | C2×C4 | — | 26 | 6 | no | — |
| 318 | C2×C4 | — | 26 | 2 | no | — |
| 319 | C2×C4 | — | 26 | 6 | no | — |
| 320 | C2×C4 | — | 26 | 3 | no | — |
| 321 | C2×C4 | — | 52 | 1 | no | — |
| 322 | C2×C4 | — | 52 | 3 | no | — |
| 323 | C2×C4 | — | 52 | 1 | no | — |
| 324 | C2×C4 | — | 52 | 1 | no | — |
| 325 | C2×C4 | — | 52 | 3 | no | — |
| 326 | C2×C4 | — | 52 | 6 | no | — |
| 327 | C2×C4 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 328 | C2×C4 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 329 | C2×C4 | C23×#261 | 1 | 1 | yes | characteristic |
| 330 | C8 | — | 52 | 1 | no | — |
| 331 | C8 | — | 52 | 3 | no | — |
| 332 | C22 | — | 13 | 1 | no | — |
| 333 | C22 | — | 13 | 1 | no | — |
| 334 | C22 | — | 26 | 1 | no | — |
| 335 | C22 | — | 26 | 1 | no | — |
| 336 | C22 | — | 52 | 1 | no | — |
| 337 | C22 | — | 52 | 1 | no | — |
| 338 | C22 | — | 52 | 1 | no | — |
| 339 | C22 | C22×C22⋊#261 | 1 | 1 | yes | characteristic |
| 340 | C4 | — | 2 | 1 | no | — |
| 341 | C4 | — | 2 | 3 | no | — |
| 342 | C4 | — | 4 | 3 | no | — |
| 343 | C4 | — | 4 | 1 | no | — |
| 344 | C4 | — | 26 | 1 | no | — |
| 345 | C4 | — | 26 | 3 | no | — |
| 346 | C4 | — | 26 | 3 | no | — |
| 347 | C4 | — | 52 | 6 | no | — |
| 348 | C4 | — | 52 | 2 | no | — |
| 349 | C4 | — | 52 | 3 | no | — |
| 350 | C4 | C2×#88118 | 1 | 6 | yes | — |
| 351 | C2 | — | 26 | 1 | no | — |
| 352 | C2 | — | 26 | 1 | no | — |
| 353 | C2 | — | 104 | 1 | no | — |
| 354 | C2 | #13131438 | 1 | 1 | yes | characteristic |
| 355 | C2 | #13131458 | 1 | 1 | yes | characteristic |
| 356 | C2 | C22×#88118 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131738 | C2 | semidirect |
| 2. #13131276 | C2 | semidirect |
| 4. #13130230 | C2 | semidirect |
| 5. #13130220 | C2 | semidirect |
| 9. C13×#557 | C4 | semidirect |
| 10. #11719437 | C4 | semidirect |
| 16. Q8×D52 | C4 | semidirect |
| 19. #11719275 | C4 | semidirect |
| 162. #557 | #261 | semidirect |
| 300. C13 | #17549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131738 | 2 |
| #13131276 | 2 |
| #13130240 | 2 |
| #13130230 | 2 |
| #13130220 | 2 |
| #13130209 | 2 |
| #13128933 | 2 |
| #17549 | 13 |