Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
440 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 71 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 | #13079481 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13070287 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13070265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13069163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13069143 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13066745 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C11×#1868 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C11×#568 | C22 | 1 | 1 | yes | characteristic |
| 9 | #10623361 | C22 | 1 | 1 | yes | characteristic |
| 10 | #10623361 | C22 | 1 | 1 | yes | characteristic |
| 11 | C11×#424 | — | 2 | 1 | no | — |
| 12 | C11×#410 | C22 | 1 | 1 | yes | characteristic |
| 13 | C11×#408 | C22 | 1 | 1 | yes | characteristic |
| 14 | #10622853 | C22 | 1 | 1 | yes | characteristic |
| 15 | #10622850 | C22 | 1 | 1 | yes | characteristic |
| 16 | #10622748 | — | 2 | 1 | no | — |
| 17 | #10622744 | — | 2 | 1 | no | — |
| 18 | C2×#66887 | — | 2 | 1 | no | — |
| 19 | #10622728 | — | 2 | 1 | no | — |
| 20 | #10622350 | — | 2 | 1 | no | — |
| 21 | #10622350 | — | 2 | 1 | no | — |
| 22 | #10622345 | — | 2 | 1 | no | — |
| 23 | #10622345 | — | 2 | 1 | no | — |
| 24 | C11×#344 | — | 2 | 1 | no | — |
| 25 | #10622197 | — | 2 | 1 | no | — |
| 26 | #10622195 | — | 2 | 1 | no | — |
| 27 | #10622112 | — | 2 | 2 | no | — |
| 28 | #10622109 | — | 2 | 2 | no | — |
| 29 | C2×C11×#41 | C23 | 1 | 1 | yes | characteristic |
| 30 | C22×D44 | D4 | 1 | 1 | yes | characteristic |
| 31 | C22×D44 | D4 | 1 | 1 | yes | characteristic |
| 32 | C11×#131 | — | 4 | 2 | no | — |
| 33 | C2×C11×M16 | — | 2 | 1 | no | — |
| 34 | C2×C11×M16 | — | 2 | 1 | no | — |
| 35 | C2×C11×M16 | — | 2 | 1 | no | — |
| 36 | C2×C11×M16 | D4 | 1 | 1 | yes | characteristic |
| 37 | C22×C8×C11 | D4 | 1 | 1 | yes | characteristic |
| 38 | C11×#117 | — | 2 | 1 | no | — |
| 39 | #67000 | — | 2 | 1 | no | — |
| 40 | #67000 | — | 2 | 1 | no | — |
| 41 | #66993 | — | 2 | 1 | no | — |
| 42 | #66993 | — | 2 | 1 | no | — |
| 43 | #66990 | — | 2 | 1 | no | — |
| 44 | #66990 | — | 2 | 1 | no | — |
| 45 | #66990 | — | 2 | 1 | no | — |
| 46 | #66990 | — | 2 | 1 | no | — |
| 47 | #66983 | — | 2 | 1 | no | — |
| 48 | #66983 | — | 2 | 1 | no | — |
| 49 | #66983 | — | 2 | 1 | no | — |
| 50 | #66983 | — | 2 | 1 | no | — |
| 51 | #66979 | — | 2 | 1 | no | — |
| 52 | #66979 | D4 | 1 | 1 | yes | characteristic |
| 53 | #66979 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×#4318 | — | 2 | 1 | no | — |
| 55 | C2×D88 | — | 2 | 1 | no | — |
| 56 | C2×D88 | — | 2 | 1 | no | — |
| 57 | C11×C4⋊C8 | — | 4 | 2 | no | — |
| 58 | C11×#99 | — | 2 | 1 | no | — |
| 59 | C11×#99 | D4 | 1 | 2 | yes | — |
| 60 | C11×C22⋊C8 | — | 2 | 1 | no | — |
| 61 | C11×C22⋊C8 | — | 2 | 1 | no | — |
| 62 | #66900 | — | 2 | 1 | no | — |
| 63 | #66898 | — | 2 | 1 | no | — |
| 64 | #66898 | — | 2 | 1 | no | — |
| 65 | #66897 | — | 2 | 1 | no | — |
| 66 | #66887 | — | 4 | 2 | no | — |
| 67 | #66885 | — | 2 | 1 | no | — |
| 68 | #66885 | — | 2 | 1 | no | — |
| 69 | #66885 | — | 2 | 1 | no | — |
| 70 | #66885 | — | 2 | 1 | no | — |
| 71 | #66885 | — | 4 | 2 | no | — |
| 72 | #66882 | — | 2 | 1 | no | — |
| 73 | #66881 | — | 2 | 1 | no | — |
| 74 | #13432 | — | 11 | 1 | no | maximal, Sylow |
| 75 | C23×D11 | — | 2 | 1 | no | — |
| 76 | C23×D11 | — | 2 | 1 | no | — |
| 77 | C11×#41 | — | 4 | 1 | no | — |
| 78 | C11×#41 | — | 4 | 1 | no | — |
| 79 | C2×Q8×C11 | #41 | 1 | 1 | yes | characteristic |
| 80 | C2×D4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | C2×D4×C11 | #41 | 1 | 1 | yes | characteristic |
| 82 | C2×D4×C11 | #41 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C2×C22⋊D11 | — | 4 | 1 | no | — |
| 87 | C2×C22⋊D11 | — | 4 | 1 | no | — |
| 88 | C2×C22⋊D11 | — | 4 | 1 | no | — |
| 89 | C2×C22⋊D11 | — | 4 | 1 | no | — |
| 90 | C2×D44 | — | 2 | 1 | no | — |
| 91 | C2×D44 | — | 2 | 1 | no | — |
| 92 | C2×D44 | — | 2 | 1 | no | — |
| 93 | C2×D44 | — | 2 | 1 | no | — |
| 94 | C2×D44 | — | 4 | 1 | no | — |
| 95 | C2×D44 | — | 4 | 1 | no | — |
| 96 | C2×D44 | — | 4 | 1 | no | — |
| 97 | C2×D44 | — | 4 | 1 | no | — |
| 98 | C11×M16 | — | 2 | 2 | no | — |
| 99 | C11×M16 | — | 4 | 1 | no | — |
| 100 | C11×M16 | — | 4 | 1 | no | — |
| 101 | C11×M16 | — | 4 | 1 | no | — |
| 102 | C11×M16 | — | 4 | 1 | no | — |
| 103 | C2×C8×C11 | — | 2 | 2 | no | — |
| 104 | C2×C8×C11 | — | 2 | 2 | no | — |
| 105 | C2×C8×C11 | — | 2 | 1 | no | — |
| 106 | C2×C8×C11 | — | 2 | 1 | no | — |
| 107 | C2×C8×C11 | — | 4 | 1 | no | — |
| 108 | C2×C8×C11 | — | 4 | 1 | no | — |
| 109 | C11×C4⋊C4 | — | 4 | 1 | no | — |
| 110 | C11×C22⋊C4 | — | 2 | 2 | no | — |
| 111 | C42×C11 | — | 4 | 1 | no | — |
| 112 | C22⋊Dic11 | — | 2 | 1 | no | — |
| 113 | C22⋊Dic11 | — | 2 | 1 | no | — |
| 114 | C22⋊Dic11 | — | 4 | 1 | no | — |
| 115 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 116 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 117 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 118 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 119 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 120 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 121 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 122 | C4×Dic11 | — | 2 | 1 | no | — |
| 123 | C4×Dic11 | — | 2 | 1 | no | — |
| 124 | C4×Dic11 | — | 4 | 1 | no | — |
| 125 | #4318 | — | 4 | 1 | no | — |
| 126 | #4318 | — | 4 | 1 | no | — |
| 127 | C2×C11⋊C8 | — | 4 | 1 | no | — |
| 128 | D88 | — | 8 | 1 | no | — |
| 129 | D88 | — | 8 | 1 | no | — |
| 130 | #3199 | — | 11 | 1 | no | — |
| 131 | #2128 | — | 11 | 1 | no | — |
| 132 | #2122 | — | 11 | 1 | no | — |
| 133 | #1914 | — | 11 | 1 | no | — |
| 134 | #1910 | — | 11 | 1 | no | — |
| 135 | #1868 | D11 | 1 | 1 | yes | characteristic, complemented |
| 136 | #1395 | — | 11 | 1 | no | — |
| 137 | C23×C11 | #121 | 1 | 1 | yes | characteristic |
| 138 | C23×C11 | #121 | 1 | 1 | yes | characteristic |
| 139 | C23×C11 | #123 | 1 | 1 | yes | characteristic |
| 140 | C22×D11 | — | 4 | 1 | no | — |
| 141 | C22×D11 | — | 4 | 1 | no | — |
| 142 | C22×D11 | — | 4 | 2 | no | — |
| 143 | C22×D11 | — | 8 | 1 | no | — |
| 144 | C22×D11 | — | 16 | 1 | no | — |
| 145 | C22×D11 | — | 16 | 1 | no | — |
| 146 | Q8×C11 | — | 4 | 1 | no | — |
| 147 | D4×C11 | — | 4 | 1 | no | — |
| 148 | D4×C11 | — | 4 | 1 | no | — |
| 149 | D4×C11 | — | 4 | 1 | no | — |
| 150 | C2×C4×C11 | — | 2 | 1 | no | — |
| 151 | C2×C4×C11 | — | 2 | 1 | no | — |
| 152 | C2×C4×C11 | — | 2 | 1 | no | — |
| 153 | C2×C4×C11 | — | 2 | 1 | no | — |
| 154 | C2×C4×C11 | — | 2 | 1 | no | — |
| 155 | C2×C4×C11 | — | 2 | 1 | no | — |
| 156 | C2×C4×C11 | — | 4 | 2 | no | — |
| 157 | C2×C4×C11 | #120 | 1 | 1 | yes | characteristic |
| 158 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C11 | #123 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C11 | #124 | 1 | 1 | yes | characteristic |
| 161 | C22⋊D11 | — | 16 | 1 | no | — |
| 162 | C22⋊D11 | — | 16 | 1 | no | — |
| 163 | C22⋊D11 | — | 16 | 1 | no | — |
| 164 | C22⋊D11 | — | 16 | 1 | no | — |
| 165 | C2×Dic11 | — | 4 | 1 | no | — |
| 166 | C2×Dic11 | — | 4 | 1 | no | — |
| 167 | C2×Dic11 | — | 8 | 1 | no | — |
| 168 | D44 | — | 4 | 2 | no | — |
| 169 | D44 | — | 4 | 1 | no | — |
| 170 | D44 | — | 4 | 1 | no | — |
| 171 | D44 | — | 4 | 1 | no | — |
| 172 | D44 | — | 4 | 1 | no | — |
| 173 | D44 | — | 8 | 1 | no | — |
| 174 | C8×C11 | — | 4 | 1 | no | — |
| 175 | C8×C11 | — | 4 | 2 | no | — |
| 176 | C8×C11 | — | 4 | 1 | no | — |
| 177 | C11⋊C8 | — | 8 | 1 | no | — |
| 178 | #568 | C2×D11 | 1 | 1 | yes | characteristic |
| 179 | #535 | — | 11 | 1 | no | — |
| 180 | #535 | — | 11 | 1 | no | — |
| 181 | #482 | — | 22 | 1 | no | — |
| 182 | #482 | — | 22 | 1 | no | — |
| 183 | #469 | — | 22 | 1 | no | — |
| 184 | #466 | — | 22 | 1 | no | — |
| 185 | #447 | — | 22 | 1 | no | — |
| 186 | #447 | — | 22 | 1 | no | — |
| 187 | #424 | — | 2 | 1 | no | — |
| 188 | #418 | — | 22 | 1 | no | — |
| 189 | #413 | — | 11 | 1 | no | — |
| 190 | C2×#100 | — | 22 | 1 | no | — |
| 191 | #410 | — | 11 | 1 | no | — |
| 192 | #410 | C2×D11 | 1 | 1 | yes | characteristic |
| 193 | #408 | C2×D11 | 1 | 1 | yes | characteristic |
| 194 | #353 | — | 22 | 2 | no | — |
| 195 | AΣL(1,𝔽16) | — | 22 | 2 | no | — |
| 196 | #344 | — | 2 | 1 | no | — |
| 197 | #344 | — | 22 | 1 | no | — |
| 198 | H(3,ℤ/4) | — | 22 | 1 | no | — |
| 199 | C22×C11 | — | 2 | 1 | no | — |
| 200 | C22×C11 | — | 2 | 1 | no | — |
| 201 | C22×C11 | — | 2 | 1 | no | — |
| 202 | C22×C11 | — | 4 | 1 | no | — |
| 203 | C22×C11 | — | 4 | 1 | no | — |
| 204 | C22×C11 | — | 4 | 1 | no | — |
| 205 | C22×C11 | #394 | 1 | 1 | yes | characteristic |
| 206 | C2×D11 | — | 8 | 1 | no | — |
| 207 | C2×D11 | — | 8 | 1 | no | — |
| 208 | C2×D11 | — | 8 | 1 | no | — |
| 209 | C2×D11 | — | 8 | 1 | no | — |
| 210 | C2×D11 | — | 8 | 1 | no | — |
| 211 | C2×D11 | — | 8 | 1 | no | — |
| 212 | C2×D11 | — | 16 | 2 | no | — |
| 213 | C2×D11 | — | 16 | 2 | no | — |
| 214 | C4×C11 | — | 2 | 1 | no | — |
| 215 | C4×C11 | — | 2 | 1 | no | — |
| 216 | C4×C11 | — | 2 | 1 | no | — |
| 217 | C4×C11 | — | 8 | 2 | no | — |
| 218 | C4×C11 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 219 | C4×C11 | #458 | 1 | 1 | yes | characteristic |
| 220 | Dic11 | — | 8 | 1 | no | — |
| 221 | Dic11 | — | 8 | 1 | no | — |
| 222 | Dic11 | — | 16 | 1 | no | — |
| 223 | C2×#41 | C22×D11 | 1 | 1 | yes | characteristic |
| 224 | C22×D4 | — | 11 | 1 | no | — |
| 225 | C22×D4 | — | 11 | 1 | no | — |
| 226 | C2×D8 | — | 22 | 1 | no | — |
| 227 | C2×D8 | — | 22 | 1 | no | — |
| 228 | #131 | — | 4 | 2 | no | — |
| 229 | C2×M16 | — | 2 | 1 | no | — |
| 230 | C2×M16 | — | 2 | 1 | no | — |
| 231 | C2×M16 | — | 2 | 1 | no | — |
| 232 | C2×M16 | — | 22 | 1 | no | — |
| 233 | C2×M16 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 234 | C22×C8 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 235 | #127 | — | 22 | 1 | no | — |
| 236 | #127 | — | 22 | 1 | no | — |
| 237 | #124 | — | 22 | 1 | no | — |
| 238 | #124 | — | 22 | 1 | no | — |
| 239 | #121 | — | 22 | 1 | no | — |
| 240 | #121 | — | 22 | 1 | no | — |
| 241 | #121 | — | 22 | 1 | no | — |
| 242 | #121 | — | 22 | 1 | no | — |
| 243 | #120 | — | 22 | 1 | no | — |
| 244 | #120 | — | 22 | 1 | no | — |
| 245 | #120 | — | 22 | 1 | no | — |
| 246 | #120 | — | 22 | 1 | no | — |
| 247 | #117 | — | 2 | 1 | no | — |
| 248 | #117 | — | 11 | 1 | no | — |
| 249 | #117 | — | 11 | 1 | no | — |
| 250 | #117 | — | 22 | 1 | no | — |
| 251 | #107 | — | 22 | 1 | no | — |
| 252 | #106 | — | 22 | 1 | no | — |
| 253 | C4⋊C8 | — | 4 | 2 | no | — |
| 254 | #102 | — | 22 | 1 | no | — |
| 255 | #102 | — | 22 | 1 | no | — |
| 256 | #102 | — | 22 | 1 | no | — |
| 257 | #102 | — | 22 | 1 | no | — |
| 258 | #102 | — | 44 | 2 | no | — |
| 259 | #101 | — | 22 | 1 | no | — |
| 260 | #100 | — | 22 | 1 | no | — |
| 261 | #100 | — | 44 | 2 | no | — |
| 262 | #99 | — | 2 | 1 | no | — |
| 263 | #99 | — | 22 | 1 | no | — |
| 264 | #99 | — | 22 | 1 | no | — |
| 265 | #99 | D44 | 1 | 2 | yes | — |
| 266 | C22⋊C8 | — | 2 | 1 | no | — |
| 267 | C22⋊C8 | — | 2 | 1 | no | — |
| 268 | C2×C11 | — | 2 | 1 | no | — |
| 269 | C2×C11 | — | 4 | 1 | no | — |
| 270 | C2×C11 | — | 4 | 1 | no | — |
| 271 | C2×C11 | — | 4 | 1 | no | — |
| 272 | C2×C11 | #2044 | 1 | 1 | yes | characteristic |
| 273 | D11 | — | 16 | 1 | no | — |
| 274 | D11 | — | 16 | 1 | no | — |
| 275 | C24 | — | 22 | 1 | no | — |
| 276 | C24 | — | 22 | 1 | no | — |
| 277 | #41 | — | 4 | 1 | no | — |
| 278 | #41 | — | 4 | 1 | no | — |
| 279 | C2×Q8 | #4343 | 1 | 1 | yes | characteristic |
| 280 | C2×D4 | — | 22 | 1 | no | — |
| 281 | C2×D4 | — | 22 | 1 | no | — |
| 282 | C2×D4 | — | 22 | 1 | no | — |
| 283 | C2×D4 | — | 22 | 1 | no | — |
| 284 | C2×D4 | — | 44 | 1 | no | — |
| 285 | C2×D4 | — | 44 | 1 | no | — |
| 286 | C2×D4 | — | 44 | 1 | no | — |
| 287 | C2×D4 | — | 44 | 1 | no | — |
| 288 | C2×D4 | — | 44 | 1 | no | — |
| 289 | C2×D4 | — | 44 | 1 | no | — |
| 290 | C2×D4 | — | 44 | 1 | no | — |
| 291 | C2×D4 | — | 44 | 1 | no | — |
| 292 | C2×D4 | C2×D44 | 1 | 1 | yes | characteristic |
| 293 | C2×D4 | #4339 | 1 | 1 | yes | characteristic |
| 294 | C2×D4 | #4343 | 1 | 1 | yes | characteristic |
| 295 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 296 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 297 | C22×C4 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 298 | D8 | — | 88 | 1 | no | — |
| 299 | D8 | — | 88 | 1 | no | — |
| 300 | M16 | — | 2 | 2 | no | — |
| 301 | M16 | — | 4 | 1 | no | — |
| 302 | M16 | — | 4 | 1 | no | — |
| 303 | M16 | — | 4 | 1 | no | — |
| 304 | M16 | — | 4 | 1 | no | — |
| 305 | M16 | — | 44 | 1 | no | — |
| 306 | M16 | — | 44 | 1 | no | — |
| 307 | C2×C8 | — | 2 | 2 | no | — |
| 308 | C2×C8 | — | 2 | 2 | no | — |
| 309 | C2×C8 | — | 2 | 1 | no | — |
| 310 | C2×C8 | — | 2 | 1 | no | — |
| 311 | C2×C8 | — | 4 | 1 | no | — |
| 312 | C2×C8 | — | 4 | 1 | no | — |
| 313 | C2×C8 | — | 44 | 1 | no | — |
| 314 | C4⋊C4 | — | 4 | 1 | no | — |
| 315 | C4⋊C4 | — | 22 | 1 | no | — |
| 316 | C4⋊C4 | — | 22 | 1 | no | — |
| 317 | C4⋊C4 | — | 44 | 1 | no | — |
| 318 | C22⋊C4 | — | 2 | 2 | no | — |
| 319 | C22⋊C4 | — | 22 | 1 | no | — |
| 320 | C22⋊C4 | — | 22 | 1 | no | — |
| 321 | C22⋊C4 | — | 44 | 1 | no | — |
| 322 | C22⋊C4 | — | 44 | 1 | no | — |
| 323 | C22⋊C4 | — | 44 | 1 | no | — |
| 324 | C22⋊C4 | — | 44 | 1 | no | — |
| 325 | C22⋊C4 | — | 44 | 1 | no | — |
| 326 | C42 | — | 4 | 1 | no | — |
| 327 | C42 | — | 22 | 1 | no | — |
| 328 | C42 | — | 22 | 1 | no | — |
| 329 | C42 | — | 44 | 1 | no | — |
| 330 | C11 | #13432 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 331 | C23 | — | 44 | 2 | no | — |
| 332 | C23 | — | 44 | 1 | no | — |
| 333 | C23 | — | 44 | 1 | no | — |
| 334 | C23 | — | 88 | 1 | no | — |
| 335 | C23 | — | 176 | 1 | no | — |
| 336 | C23 | — | 176 | 1 | no | — |
| 337 | C23 | #66947 | 1 | 1 | yes | characteristic |
| 338 | C23 | #66948 | 1 | 1 | yes | characteristic |
| 339 | C23 | #66983 | 1 | 1 | yes | characteristic |
| 340 | Q8 | — | 4 | 1 | no | — |
| 341 | D4 | — | 4 | 1 | no | — |
| 342 | D4 | — | 4 | 1 | no | — |
| 343 | D4 | — | 4 | 1 | no | — |
| 344 | D4 | — | 44 | 2 | no | — |
| 345 | D4 | — | 44 | 1 | no | — |
| 346 | D4 | — | 44 | 1 | no | — |
| 347 | D4 | — | 44 | 1 | no | — |
| 348 | D4 | — | 44 | 1 | no | — |
| 349 | D4 | — | 88 | 1 | no | — |
| 350 | D4 | — | 176 | 1 | no | — |
| 351 | D4 | — | 176 | 1 | no | — |
| 352 | D4 | — | 176 | 1 | no | — |
| 353 | D4 | — | 176 | 1 | no | — |
| 354 | C2×C4 | — | 2 | 1 | no | — |
| 355 | C2×C4 | — | 2 | 1 | no | — |
| 356 | C2×C4 | — | 2 | 1 | no | — |
| 357 | C2×C4 | — | 2 | 1 | no | — |
| 358 | C2×C4 | — | 2 | 1 | no | — |
| 359 | C2×C4 | — | 2 | 1 | no | — |
| 360 | C2×C4 | — | 4 | 2 | no | — |
| 361 | C2×C4 | — | 44 | 1 | no | — |
| 362 | C2×C4 | — | 44 | 1 | no | — |
| 363 | C2×C4 | — | 88 | 1 | no | — |
| 364 | C2×C4 | #66947 | 1 | 1 | yes | characteristic |
| 365 | C2×C4 | #66948 | 1 | 1 | yes | characteristic |
| 366 | C2×C4 | #66990 | 1 | 1 | yes | characteristic |
| 367 | C2×C4 | #67000 | 1 | 1 | yes | characteristic |
| 368 | C8 | — | 4 | 2 | no | — |
| 369 | C8 | — | 4 | 1 | no | — |
| 370 | C8 | — | 4 | 1 | no | — |
| 371 | C8 | — | 88 | 1 | no | — |
| 372 | C22 | — | 2 | 1 | no | — |
| 373 | C22 | — | 2 | 1 | no | — |
| 374 | C22 | — | 2 | 1 | no | — |
| 375 | C22 | — | 4 | 1 | no | — |
| 376 | C22 | — | 4 | 1 | no | — |
| 377 | C22 | — | 4 | 1 | no | — |
| 378 | C22 | — | 88 | 1 | no | — |
| 379 | C22 | — | 88 | 1 | no | — |
| 380 | C22 | — | 88 | 1 | no | — |
| 381 | C22 | — | 88 | 1 | no | — |
| 382 | C22 | — | 88 | 1 | no | — |
| 383 | C22 | — | 88 | 1 | no | — |
| 384 | C22 | — | 176 | 2 | no | — |
| 385 | C22 | — | 176 | 2 | no | — |
| 386 | C22 | #10622604 | 1 | 1 | yes | characteristic |
| 387 | C4 | — | 2 | 1 | no | — |
| 388 | C4 | — | 2 | 1 | no | — |
| 389 | C4 | — | 2 | 1 | no | — |
| 390 | C4 | — | 8 | 2 | no | — |
| 391 | C4 | — | 88 | 1 | no | — |
| 392 | C4 | — | 88 | 1 | no | — |
| 393 | C4 | — | 176 | 1 | no | — |
| 394 | C4 | #10622645 | 1 | 1 | yes | characteristic |
| 395 | C4 | #10622666 | 1 | 1 | yes | characteristic |
| 396 | C2 | — | 2 | 1 | no | — |
| 397 | C2 | — | 4 | 1 | no | — |
| 398 | C2 | — | 4 | 1 | no | — |
| 399 | C2 | — | 4 | 1 | no | — |
| 400 | C2 | — | 176 | 1 | no | — |
| 401 | C2 | — | 176 | 1 | no | — |
| 402 | C2 | #13069867 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13070287 | C2 | semidirect |
| 3. #13070265 | C2 | semidirect |
| 4. #13069163 | C2 | semidirect |
| 5. #13069143 | C2 | semidirect |
| 6. #13066745 | C2 | semidirect |
| 7. C11×#1868 | C2 | semidirect |
| 135. #1868 | D11 | semidirect |
| 330. C11 | #13432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079481 | 2 |
| #13070287 | 2 |
| #13070265 | 2 |
| #13069163 | 2 |
| #13069143 | 2 |
| #13066745 | 2 |
| C11×#1868 | 2 |
| #13432 | 11 |