Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
3540 conjugacy classes of subgroups; only the 247 normal subgroups are shown.
This group has 3540 conjugacy classes of subgroups — too many to draw. Only its 247 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 | #13083429 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13078018 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13077990 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13077904 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #13068592 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #13068579 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C11×#1791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C11×#585 | C22 | 1 | 1 | yes | characteristic |
| 9 | D11×2−1+4 | — | 2 | 6 | no | — |
| 10 | #10623455 | — | 2 | 4 | no | — |
| 11 | #10623455 | — | 2 | 6 | no | — |
| 12 | #10623453 | — | 2 | 6 | no | — |
| 13 | #10623453 | C22 | 1 | 3 | yes | — |
| 14 | C2×#67043 | — | 2 | 6 | no | — |
| 15 | C2×#67043 | C22 | 1 | 3 | yes | — |
| 16 | #10623361 | C22 | 1 | 3 | yes | complemented |
| 17 | C2×#66961 | C22 | 1 | 3 | yes | complemented |
| 18 | C22×#4314 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C11×#413 | C22 | 1 | 3 | yes | complemented |
| 20 | C11×#408 | C22 | 1 | 3 | yes | complemented |
| 21 | #10622857 | — | 2 | 4 | no | — |
| 22 | #10622853 | C22 | 1 | 3 | yes | complemented |
| 23 | #10622752 | C22 | 1 | 6 | yes | complemented |
| 24 | #10622733 | C22 | 1 | 3 | yes | complemented |
| 25 | #10622726 | C22 | 1 | 3 | yes | complemented |
| 26 | #10622366 | — | 2 | 6 | no | — |
| 27 | #10622360 | — | 2 | 6 | no | — |
| 28 | #10622351 | — | 2 | 6 | no | — |
| 29 | #10622347 | — | 2 | 6 | no | — |
| 30 | C11×2−1+4 | — | 2 | 3 | no | — |
| 31 | C11×H(5,𝔽2) | — | 2 | 3 | no | — |
| 32 | C11×H(5,𝔽2) | D4 | 1 | 4 | yes | — |
| 33 | C2×C11×#41 | — | 2 | 6 | no | — |
| 34 | C2×C11×#41 | C23 | 1 | 3 | yes | — |
| 35 | #67043 | — | 2 | 12 | no | — |
| 36 | #67043 | — | 2 | 24 | no | — |
| 37 | #67043 | — | 2 | 24 | no | — |
| 38 | #67043 | — | 2 | 12 | no | — |
| 39 | #67043 | — | 2 | 6 | no | — |
| 40 | #67043 | — | 2 | 12 | no | — |
| 41 | #67042 | — | 2 | 4 | no | — |
| 42 | #67042 | — | 2 | 6 | no | — |
| 43 | #41×D11 | — | 2 | 24 | no | — |
| 44 | #41×D11 | — | 2 | 24 | no | — |
| 45 | #41×D11 | — | 2 | 12 | no | — |
| 46 | #67040 | — | 2 | 12 | no | — |
| 47 | #67040 | D4 | 1 | 6 | yes | complemented |
| 48 | C2×Q8×D11 | — | 2 | 12 | no | — |
| 49 | C2×Q8×D11 | — | 2 | 3 | no | — |
| 50 | #67037 | — | 2 | 24 | no | — |
| 51 | #67037 | — | 2 | 12 | no | — |
| 52 | #67037 | — | 2 | 6 | no | — |
| 53 | #67037 | D4 | 1 | 6 | yes | complemented |
| 54 | C2×#4341 | — | 2 | 24 | no | — |
| 55 | C2×#4341 | — | 2 | 12 | no | — |
| 56 | C2×#4341 | — | 2 | 6 | no | — |
| 57 | C2×#4341 | — | 2 | 3 | no | — |
| 58 | C2×#4339 | — | 2 | 12 | no | — |
| 59 | C2×#4339 | — | 2 | 6 | no | — |
| 60 | C2×#4339 | D4 | 1 | 6 | yes | complemented |
| 61 | C2×#4339 | C23 | 1 | 3 | yes | — |
| 62 | C22×D44 | C23 | 1 | 1 | yes | characteristic |
| 63 | C22×Dic22 | — | 2 | 4 | no | — |
| 64 | C22×Dic22 | D4 | 1 | 6 | yes | complemented |
| 65 | C22×Dic22 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C11×M16 | C23 | 1 | 3 | yes | — |
| 67 | C22×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 68 | #67000 | — | 2 | 3 | no | — |
| 69 | #66993 | — | 2 | 3 | no | — |
| 70 | #66990 | — | 2 | 6 | no | — |
| 71 | #66983 | — | 2 | 6 | no | — |
| 72 | #66979 | C23 | 1 | 3 | yes | — |
| 73 | #66961 | — | 2 | 12 | no | — |
| 74 | C2×D88 | — | 2 | 3 | no | — |
| 75 | C2×#4314 | — | 2 | 6 | no | — |
| 76 | C2×#4314 | — | 2 | 3 | no | — |
| 77 | C11×#101 | — | 2 | 3 | no | — |
| 78 | C11×#100 | — | 2 | 3 | no | — |
| 79 | C11×C22⋊C8 | — | 2 | 6 | no | — |
| 80 | #66898 | — | 2 | 6 | no | — |
| 81 | #66889 | — | 2 | 12 | no | — |
| 82 | #66885 | — | 2 | 3 | no | — |
| 83 | #66880 | — | 2 | 3 | no | — |
| 84 | #66880 | — | 2 | 6 | no | — |
| 85 | #32895 | — | 11 | 1 | no | maximal, Sylow |
| 86 | C23×D11 | — | 2 | 1 | no | — |
| 87 | C11×#41 | — | 2 | 12 | no | — |
| 88 | C11×#41 | — | 2 | 4 | no | — |
| 89 | C11×#41 | — | 2 | 12 | no | — |
| 90 | C11×#41 | — | 2 | 6 | no | — |
| 91 | C11×#41 | — | 2 | 6 | no | — |
| 92 | C2×Q8×C11 | — | 2 | 6 | no | — |
| 93 | C2×Q8×C11 | C2×D4 | 1 | 3 | yes | — |
| 94 | C2×D4×C11 | — | 2 | 6 | no | — |
| 95 | C2×D4×C11 | — | 2 | 12 | no | — |
| 96 | C2×D4×C11 | C2×D4 | 1 | 6 | yes | — |
| 97 | C2×D4×C11 | C2×D4 | 1 | 3 | yes | — |
| 98 | C22×C4×C11 | — | 2 | 4 | no | — |
| 99 | C22×C4×C11 | C2×D4 | 1 | 6 | yes | — |
| 100 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 101 | C2×C22⋊D11 | — | 2 | 24 | no | — |
| 102 | C2×C22⋊D11 | — | 2 | 12 | no | — |
| 103 | C2×C22⋊D11 | — | 2 | 6 | no | — |
| 104 | C2×C22⋊D11 | — | 2 | 3 | no | — |
| 105 | C2×C22⋊D11 | — | 4 | 6 | no | — |
| 106 | C22×Dic11 | — | 2 | 8 | no | — |
| 107 | C22×Dic11 | — | 2 | 6 | no | — |
| 108 | C22×Dic11 | — | 2 | 1 | no | — |
| 109 | #4343 | — | 2 | 8 | no | — |
| 110 | #4343 | — | 2 | 12 | no | — |
| 111 | Q8×D11 | — | 2 | 24 | no | — |
| 112 | Q8×D11 | — | 2 | 24 | no | — |
| 113 | Q8×D11 | — | 2 | 12 | no | — |
| 114 | #4341 | — | 2 | 24 | no | — |
| 115 | #4341 | — | 2 | 48 | no | — |
| 116 | #4341 | — | 2 | 24 | no | — |
| 117 | #4341 | — | 2 | 48 | no | — |
| 118 | #4341 | — | 2 | 24 | no | — |
| 119 | #4341 | — | 2 | 12 | no | — |
| 120 | D4×D11 | — | 2 | 24 | no | — |
| 121 | D4×D11 | — | 2 | 24 | no | — |
| 122 | D4×D11 | — | 2 | 12 | no | — |
| 123 | #4339 | — | 2 | 12 | no | — |
| 124 | #4339 | — | 2 | 48 | no | — |
| 125 | #4339 | — | 2 | 12 | no | — |
| 126 | #4339 | — | 2 | 12 | no | — |
| 127 | #4339 | — | 2 | 12 | no | — |
| 128 | #4339 | — | 2 | 12 | no | — |
| 129 | #4339 | — | 2 | 6 | no | — |
| 130 | #4339 | C2×D4 | 1 | 12 | yes | — |
| 131 | C2×D44 | — | 2 | 6 | no | — |
| 132 | C2×D44 | — | 2 | 3 | no | — |
| 133 | C2×D44 | — | 2 | 3 | no | — |
| 134 | C2×D44 | C2×D4 | 1 | 3 | yes | — |
| 135 | C2×C4×D11 | — | 2 | 24 | no | — |
| 136 | C2×C4×D11 | — | 2 | 12 | no | — |
| 137 | C2×C4×D11 | — | 2 | 6 | no | — |
| 138 | C2×C4×D11 | — | 2 | 3 | no | — |
| 139 | C2×Dic22 | — | 2 | 6 | no | — |
| 140 | C2×Dic22 | — | 2 | 24 | no | — |
| 141 | C2×Dic22 | — | 2 | 12 | no | — |
| 142 | C2×Dic22 | — | 2 | 12 | no | — |
| 143 | C2×Dic22 | — | 2 | 6 | no | — |
| 144 | C2×Dic22 | — | 2 | 3 | no | — |
| 145 | C2×Dic22 | C2×D4 | 1 | 3 | yes | — |
| 146 | C2×Dic22 | C2×D4 | 1 | 6 | yes | — |
| 147 | C11×M16 | — | 2 | 6 | no | — |
| 148 | C2×C8×C11 | — | 2 | 3 | no | — |
| 149 | C2×C8×C11 | — | 2 | 3 | no | — |
| 150 | C22⋊Dic11 | — | 2 | 3 | no | — |
| 151 | (C2×D11)⋊C4 | — | 4 | 6 | no | — |
| 152 | C4⋊Dic11 | — | 2 | 3 | no | — |
| 153 | C4×Dic11 | — | 2 | 3 | no | — |
| 154 | D88 | — | 4 | 6 | no | — |
| 155 | #4314 | — | 4 | 4 | no | — |
| 156 | #4314 | — | 4 | 6 | no | — |
| 157 | 2−1+6 | — | 11 | 1 | no | — |
| 158 | #3027 | — | 11 | 1 | no | — |
| 159 | #3021 | — | 11 | 3 | no | — |
| 160 | #3010 | — | 11 | 3 | no | — |
| 161 | #1796 | — | 11 | 3 | no | — |
| 162 | #1794 | — | 11 | 3 | no | — |
| 163 | #1791 | D11 | 1 | 1 | yes | characteristic, complemented |
| 164 | C23×C11 | — | 2 | 4 | no | — |
| 165 | C23×C11 | #120 | 1 | 6 | yes | — |
| 166 | C23×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 167 | C22×D11 | — | 2 | 12 | no | — |
| 168 | C22×D11 | — | 2 | 3 | no | — |
| 169 | C22×D11 | — | 4 | 3 | no | — |
| 170 | C22×D11 | — | 16 | 1 | no | — |
| 171 | Q8×C11 | — | 2 | 4 | no | — |
| 172 | Q8×C11 | — | 2 | 6 | no | — |
| 173 | D4×C11 | — | 2 | 12 | no | — |
| 174 | D4×C11 | — | 2 | 12 | no | — |
| 175 | D4×C11 | — | 2 | 6 | no | — |
| 176 | C2×C4×C11 | — | 2 | 12 | no | — |
| 177 | C2×C4×C11 | — | 2 | 6 | no | — |
| 178 | C2×C4×C11 | — | 2 | 6 | no | — |
| 179 | C2×C4×C11 | #120 | 1 | 6 | yes | — |
| 180 | C2×C4×C11 | C22×D4 | 1 | 3 | yes | — |
| 181 | C2×C4×C11 | C22×D4 | 1 | 3 | yes | — |
| 182 | C22⋊D11 | — | 2 | 24 | no | — |
| 183 | C22⋊D11 | — | 2 | 24 | no | — |
| 184 | C22⋊D11 | — | 2 | 12 | no | — |
| 185 | C22⋊D11 | — | 16 | 6 | no | — |
| 186 | C2×Dic11 | — | 2 | 12 | no | — |
| 187 | C2×Dic11 | — | 2 | 24 | no | — |
| 188 | C2×Dic11 | — | 2 | 3 | no | — |
| 189 | C2×Dic11 | — | 2 | 6 | no | — |
| 190 | C2×Dic11 | — | 4 | 3 | no | — |
| 191 | D44 | — | 2 | 12 | no | — |
| 192 | D44 | — | 2 | 3 | no | — |
| 193 | D44 | — | 4 | 1 | no | — |
| 194 | D44 | — | 4 | 3 | no | — |
| 195 | D44 | #120 | 1 | 6 | yes | — |
| 196 | C4×D11 | — | 2 | 24 | no | — |
| 197 | C4×D11 | — | 2 | 24 | no | — |
| 198 | C4×D11 | — | 2 | 12 | no | — |
| 199 | Dic22 | — | 2 | 12 | no | — |
| 200 | Dic22 | — | 2 | 24 | no | — |
| 201 | Dic22 | — | 2 | 3 | no | — |
| 202 | Dic22 | — | 2 | 6 | no | — |
| 203 | Dic22 | #120 | 1 | 4 | yes | — |
| 204 | Dic22 | #120 | 1 | 6 | yes | — |
| 205 | C8×C11 | — | 4 | 1 | no | — |
| 206 | C8×C11 | — | 4 | 3 | no | — |
| 207 | #585 | — | 11 | 3 | no | — |
| 208 | #585 | — | 22 | 6 | no | — |
| 209 | #585 | — | 22 | 6 | no | — |
| 210 | #585 | — | 22 | 4 | no | — |
| 211 | #585 | C2×D11 | 1 | 1 | yes | characteristic |
| 212 | C2×2−1+4 | — | 11 | 3 | no | — |
| 213 | C2×2−1+4 | — | 22 | 6 | no | — |
| 214 | C2×2−1+4 | — | 22 | 6 | no | — |
| 215 | C2×AGL(1,ℤ/8) | — | 11 | 3 | no | — |
| 216 | C22×SD16 | — | 11 | 1 | no | — |
| 217 | #535 | — | 11 | 3 | no | — |
| 218 | B(4,𝔽2) | — | 22 | 4 | no | — |
| 219 | #454 | — | 22 | 6 | no | — |
| 220 | #453 | — | 22 | 6 | no | — |
| 221 | #449 | — | 22 | 6 | no | — |
| 222 | #448 | — | 22 | 6 | no | — |
| 223 | #421 | — | 11 | 6 | no | — |
| 224 | #419 | — | 11 | 3 | no | — |
| 225 | #416 | — | 11 | 3 | no | — |
| 226 | #413 | C2×D11 | 1 | 3 | yes | complemented |
| 227 | #410 | — | 11 | 3 | no | — |
| 228 | #408 | C2×D11 | 1 | 3 | yes | complemented |
| 229 | C22×C11 | — | 2 | 6 | no | — |
| 230 | C22×C11 | — | 4 | 1 | no | — |
| 231 | C22×C11 | — | 4 | 6 | no | — |
| 232 | C22×C11 | — | 8 | 4 | no | — |
| 233 | C22×C11 | C2×#120 | 1 | 3 | yes | — |
| 234 | C2×D11 | — | 2 | 6 | no | — |
| 235 | C2×D11 | — | 8 | 3 | no | — |
| 236 | C2×D11 | — | 8 | 12 | no | — |
| 237 | C2×D11 | — | 8 | 6 | no | — |
| 238 | C2×D11 | — | 8 | 1 | no | — |
| 239 | C4×C11 | — | 2 | 6 | no | — |
| 240 | C4×C11 | C2×#120 | 1 | 1 | yes | characteristic |
| 241 | C4×C11 | C2×#120 | 1 | 3 | yes | — |
| 242 | Dic11 | — | 2 | 6 | no | — |
| 243 | Dic11 | — | 2 | 4 | no | — |
| 244 | Dic11 | — | 8 | 3 | no | — |
| 245 | 2−1+4 | — | 2 | 3 | no | — |
| 246 | 2−1+4 | — | 11 | 6 | no | — |
| 247 | 2−1+4 | — | 22 | 12 | no | — |
| 248 | 2−1+4 | — | 22 | 12 | no | — |
| 249 | 2−1+4 | — | 22 | 6 | no | — |
| 250 | 2−1+4 | — | 22 | 12 | no | — |
| 251 | 2−1+4 | — | 22 | 12 | no | — |
| 252 | 2−1+4 | — | 22 | 24 | no | — |
| 253 | 2−1+4 | — | 22 | 24 | no | — |
| 254 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 255 | H(5,𝔽2) | — | 11 | 6 | no | — |
| 256 | H(5,𝔽2) | — | 22 | 12 | no | — |
| 257 | H(5,𝔽2) | — | 22 | 24 | no | — |
| 258 | H(5,𝔽2) | — | 22 | 6 | no | — |
| 259 | H(5,𝔽2) | — | 22 | 4 | no | — |
| 260 | H(5,𝔽2) | — | 22 | 6 | no | — |
| 261 | H(5,𝔽2) | D44 | 1 | 4 | yes | — |
| 262 | C2×#41 | — | 2 | 6 | no | — |
| 263 | C2×#41 | — | 11 | 6 | no | — |
| 264 | C2×#41 | — | 11 | 3 | no | — |
| 265 | C2×#41 | — | 22 | 12 | no | — |
| 266 | C2×#41 | — | 22 | 12 | no | — |
| 267 | C2×#41 | — | 22 | 24 | no | — |
| 268 | C2×#41 | — | 22 | 12 | no | — |
| 269 | C2×#41 | — | 22 | 24 | no | — |
| 270 | C2×#41 | — | 22 | 24 | no | — |
| 271 | C2×#41 | — | 22 | 6 | no | — |
| 272 | C2×#41 | — | 22 | 3 | no | — |
| 273 | C2×#41 | — | 22 | 6 | no | — |
| 274 | C2×#41 | C22×D11 | 1 | 3 | yes | — |
| 275 | C22×Q8 | — | 11 | 6 | no | — |
| 276 | C22×Q8 | — | 11 | 1 | no | — |
| 277 | C22×Q8 | — | 22 | 4 | no | — |
| 278 | C22×Q8 | — | 22 | 12 | no | — |
| 279 | C22×Q8 | — | 22 | 3 | no | — |
| 280 | C22×D4 | — | 11 | 1 | no | — |
| 281 | AGL(1,ℤ/8) | — | 22 | 12 | no | — |
| 282 | C2×SD16 | — | 22 | 6 | no | — |
| 283 | C2×SD16 | — | 22 | 3 | no | — |
| 284 | C2×D8 | — | 22 | 3 | no | — |
| 285 | C2×M16 | C22×D11 | 1 | 3 | yes | — |
| 286 | C22×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 287 | #127 | — | 22 | 3 | no | — |
| 288 | #124 | — | 22 | 3 | no | — |
| 289 | #121 | — | 22 | 6 | no | — |
| 290 | #120 | — | 22 | 6 | no | — |
| 291 | #117 | — | 11 | 3 | no | — |
| 292 | #104 | — | 22 | 12 | no | — |
| 293 | #103 | — | 22 | 3 | no | — |
| 294 | #103 | — | 22 | 6 | no | — |
| 295 | #102 | — | 22 | 3 | no | — |
| 296 | #101 | — | 2 | 3 | no | — |
| 297 | #100 | — | 2 | 3 | no | — |
| 298 | #99 | — | 22 | 6 | no | — |
| 299 | C22⋊C8 | — | 2 | 6 | no | — |
| 300 | C2×C11 | — | 2 | 3 | no | — |
| 301 | C2×C11 | — | 4 | 6 | no | — |
| 302 | C2×C11 | #2846 | 1 | 1 | yes | characteristic |
| 303 | D11 | — | 4 | 6 | no | — |
| 304 | D11 | — | 16 | 1 | no | — |
| 305 | C24 | — | 22 | 1 | no | — |
| 306 | #41 | — | 2 | 4 | no | — |
| 307 | #41 | — | 2 | 12 | no | — |
| 308 | #41 | — | 2 | 12 | no | — |
| 309 | #41 | — | 2 | 6 | no | — |
| 310 | #41 | — | 2 | 6 | no | — |
| 311 | #41 | — | 11 | 12 | no | — |
| 312 | #41 | — | 22 | 12 | no | — |
| 313 | #41 | — | 22 | 12 | no | — |
| 314 | #41 | — | 22 | 48 | no | — |
| 315 | #41 | — | 22 | 12 | no | — |
| 316 | #41 | — | 22 | 12 | no | — |
| 317 | #41 | — | 22 | 12 | no | — |
| 318 | #41 | — | 22 | 48 | no | — |
| 319 | #41 | — | 22 | 24 | no | — |
| 320 | #41 | — | 22 | 24 | no | — |
| 321 | #41 | — | 22 | 48 | no | — |
| 322 | #41 | — | 22 | 24 | no | — |
| 323 | #41 | — | 22 | 12 | no | — |
| 324 | #41 | — | 22 | 8 | no | — |
| 325 | #41 | — | 22 | 12 | no | — |
| 326 | #41 | — | 22 | 6 | no | — |
| 327 | C2×Q8 | — | 2 | 6 | no | — |
| 328 | C2×Q8 | — | 11 | 6 | no | — |
| 329 | C2×Q8 | — | 11 | 3 | no | — |
| 330 | C2×Q8 | — | 22 | 12 | no | — |
| 331 | C2×Q8 | — | 22 | 12 | no | — |
| 332 | C2×Q8 | — | 22 | 24 | no | — |
| 333 | C2×Q8 | — | 22 | 6 | no | — |
| 334 | C2×Q8 | — | 22 | 12 | no | — |
| 335 | C2×Q8 | — | 22 | 24 | no | — |
| 336 | C2×Q8 | — | 22 | 24 | no | — |
| 337 | C2×Q8 | — | 22 | 6 | no | — |
| 338 | C2×Q8 | — | 22 | 3 | no | — |
| 339 | C2×Q8 | D4×D11 | 1 | 3 | yes | — |
| 340 | C2×D4 | — | 2 | 6 | no | — |
| 341 | C2×D4 | — | 2 | 12 | no | — |
| 342 | C2×D4 | — | 11 | 3 | no | — |
| 343 | C2×D4 | — | 22 | 6 | no | — |
| 344 | C2×D4 | — | 22 | 12 | no | — |
| 345 | C2×D4 | — | 22 | 24 | no | — |
| 346 | C2×D4 | — | 22 | 24 | no | — |
| 347 | C2×D4 | — | 22 | 24 | no | — |
| 348 | C2×D4 | — | 22 | 6 | no | — |
| 349 | C2×D4 | — | 22 | 12 | no | — |
| 350 | C2×D4 | — | 22 | 3 | no | — |
| 351 | C2×D4 | — | 22 | 3 | no | — |
| 352 | C2×D4 | — | 22 | 3 | no | — |
| 353 | C2×D4 | — | 44 | 6 | no | — |
| 354 | C2×D4 | C2×D44 | 1 | 6 | yes | — |
| 355 | C2×D4 | D4×D11 | 1 | 3 | yes | — |
| 356 | C22×C4 | — | 2 | 4 | no | — |
| 357 | C22×C4 | — | 22 | 24 | no | — |
| 358 | C22×C4 | — | 22 | 12 | no | — |
| 359 | C22×C4 | — | 22 | 8 | no | — |
| 360 | C22×C4 | — | 22 | 6 | no | — |
| 361 | C22×C4 | — | 22 | 1 | no | — |
| 362 | C22×C4 | — | 22 | 6 | no | — |
| 363 | C22×C4 | — | 22 | 3 | no | — |
| 364 | C22×C4 | D4×D11 | 1 | 6 | yes | — |
| 365 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 366 | SD16 | — | 44 | 4 | no | — |
| 367 | SD16 | — | 44 | 6 | no | — |
| 368 | D8 | — | 44 | 6 | no | — |
| 369 | M16 | — | 2 | 6 | no | — |
| 370 | C2×C8 | — | 2 | 3 | no | — |
| 371 | C2×C8 | — | 2 | 3 | no | — |
| 372 | C4⋊C4 | — | 22 | 3 | no | — |
| 373 | C22⋊C4 | — | 22 | 3 | no | — |
| 374 | C22⋊C4 | — | 44 | 6 | no | — |
| 375 | C42 | — | 22 | 3 | no | — |
| 376 | C11 | #32895 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 377 | C23 | — | 2 | 4 | no | — |
| 378 | C23 | — | 22 | 12 | no | — |
| 379 | C23 | — | 22 | 3 | no | — |
| 380 | C23 | — | 44 | 3 | no | — |
| 381 | C23 | — | 176 | 1 | no | — |
| 382 | C23 | #66935 | 1 | 6 | yes | — |
| 383 | C23 | C22×D44 | 1 | 1 | yes | characteristic |
| 384 | Q8 | — | 2 | 4 | no | — |
| 385 | Q8 | — | 2 | 6 | no | — |
| 386 | Q8 | — | 11 | 4 | no | — |
| 387 | Q8 | — | 11 | 6 | no | — |
| 388 | Q8 | — | 22 | 24 | no | — |
| 389 | Q8 | — | 22 | 12 | no | — |
| 390 | Q8 | — | 22 | 3 | no | — |
| 391 | Q8 | — | 22 | 6 | no | — |
| 392 | D4 | — | 2 | 12 | no | — |
| 393 | D4 | — | 2 | 12 | no | — |
| 394 | D4 | — | 2 | 6 | no | — |
| 395 | D4 | — | 11 | 6 | no | — |
| 396 | D4 | — | 22 | 12 | no | — |
| 397 | D4 | — | 22 | 24 | no | — |
| 398 | D4 | — | 22 | 24 | no | — |
| 399 | D4 | — | 22 | 12 | no | — |
| 400 | D4 | — | 22 | 3 | no | — |
| 401 | D4 | — | 44 | 3 | no | — |
| 402 | D4 | — | 44 | 1 | no | — |
| 403 | D4 | — | 176 | 6 | no | — |
| 404 | C2×C4 | — | 2 | 12 | no | — |
| 405 | C2×C4 | — | 2 | 6 | no | — |
| 406 | C2×C4 | — | 2 | 6 | no | — |
| 407 | C2×C4 | — | 22 | 24 | no | — |
| 408 | C2×C4 | — | 22 | 24 | no | — |
| 409 | C2×C4 | — | 22 | 12 | no | — |
| 410 | C2×C4 | — | 22 | 24 | no | — |
| 411 | C2×C4 | — | 22 | 3 | no | — |
| 412 | C2×C4 | — | 22 | 6 | no | — |
| 413 | C2×C4 | — | 22 | 12 | no | — |
| 414 | C2×C4 | — | 44 | 3 | no | — |
| 415 | C2×C4 | #66935 | 1 | 6 | yes | — |
| 416 | C2×C4 | C2×D4×D11 | 1 | 3 | yes | — |
| 417 | C2×C4 | C2×D4×D11 | 1 | 3 | yes | — |
| 418 | C8 | — | 4 | 1 | no | — |
| 419 | C8 | — | 4 | 3 | no | — |
| 420 | C22 | — | 2 | 6 | no | — |
| 421 | C22 | — | 4 | 1 | no | — |
| 422 | C22 | — | 4 | 6 | no | — |
| 423 | C22 | — | 8 | 4 | no | — |
| 424 | C22 | — | 22 | 6 | no | — |
| 425 | C22 | — | 88 | 3 | no | — |
| 426 | C22 | — | 88 | 6 | no | — |
| 427 | C22 | — | 88 | 12 | no | — |
| 428 | C22 | — | 88 | 1 | no | — |
| 429 | C22 | C2×#66935 | 1 | 3 | yes | — |
| 430 | C4 | — | 2 | 6 | no | — |
| 431 | C4 | — | 22 | 4 | no | — |
| 432 | C4 | — | 22 | 6 | no | — |
| 433 | C4 | — | 88 | 3 | no | — |
| 434 | C4 | D11×#120 | 1 | 1 | yes | characteristic |
| 435 | C4 | D11×#120 | 1 | 3 | yes | — |
| 436 | C2 | — | 2 | 3 | no | — |
| 437 | C2 | — | 4 | 6 | no | — |
| 438 | C2 | — | 44 | 6 | no | — |
| 439 | C2 | — | 176 | 1 | no | — |
| 440 | C2 | #13076894 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13083429 | C2 | semidirect |
| 2. #13078018 | C2 | semidirect |
| 3. #13077990 | C2 | semidirect |
| 4. #13077904 | C2 | semidirect |
| 5. #13068592 | C2 | semidirect |
| 6. #13068579 | C2 | semidirect |
| 7. C11×#1791 | C2 | semidirect |
| 16. #10623361 | C22 | semidirect |
| 17. C2×#66961 | C22 | semidirect |
| 18. C22×#4314 | C22 | semidirect |
| 19. C11×#413 | C22 | semidirect |
| 20. C11×#408 | C22 | semidirect |
| 22. #10622853 | C22 | semidirect |
| 23. #10622752 | C22 | semidirect |
| 24. #10622733 | C22 | semidirect |
| 25. #10622726 | C22 | semidirect |
| 47. #67040 | D4 | semidirect |
| 53. #67037 | D4 | semidirect |
| 60. C2×#4339 | D4 | semidirect |
| 64. C22×Dic22 | D4 | semidirect |
| 163. #1791 | D11 | semidirect |
| 226. #413 | C2×D11 | semidirect |
| 228. #408 | C2×D11 | semidirect |
| 376. C11 | #32895 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13083429 | 2 |
| #13078018 | 2 |
| #13077990 | 2 |
| #13077904 | 2 |
| #13068592 | 2 |
| #13068579 | 2 |
| C11×#1791 | 2 |
| #32895 | 11 |