Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1122 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1122 conjugacy classes of subgroups — too many to draw. Only its 183 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 | #13083390 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#10622521 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13078264 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13070564 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #13070353 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C11×#2115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10623453 | — | 2 | 1 | no | — |
| 8 | C2×C11×#131 | C22 | 1 | 1 | yes | characteristic |
| 9 | #10623361 | — | 2 | 1 | no | — |
| 10 | #10623284 | — | 2 | 2 | no | — |
| 11 | #10623283 | — | 2 | 2 | no | — |
| 12 | #10623282 | — | 2 | 4 | no | — |
| 13 | #10623279 | — | 2 | 1 | no | — |
| 14 | #10623279 | C22 | 1 | 4 | yes | complemented |
| 15 | C2×#66957 | — | 2 | 2 | no | — |
| 16 | C2×#66957 | C22 | 1 | 2 | yes | — |
| 17 | C22×D88 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C11×M32 | C22 | 1 | 2 | yes | complemented |
| 19 | #10622748 | C22 | 1 | 4 | yes | complemented |
| 20 | #10622744 | — | 2 | 1 | no | — |
| 21 | #10622728 | — | 2 | 2 | no | — |
| 22 | #10622719 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #10622521 | — | 2 | 4 | no | — |
| 24 | #10622521 | C22 | 1 | 8 | yes | complemented |
| 25 | C2×#66864 | — | 2 | 2 | no | — |
| 26 | C2×D176 | — | 2 | 2 | no | — |
| 27 | C11×#349 | C22 | 1 | 4 | yes | complemented |
| 28 | #10622156 | C22 | 1 | 8 | yes | complemented |
| 29 | C2×C11×#41 | D4 | 1 | 1 | yes | characteristic |
| 30 | #67043 | — | 2 | 4 | no | — |
| 31 | #67042 | — | 2 | 4 | no | — |
| 32 | #41×D11 | — | 4 | 4 | no | — |
| 33 | #67040 | — | 4 | 1 | no | — |
| 34 | #67037 | — | 4 | 2 | no | — |
| 35 | #67037 | — | 4 | 1 | no | — |
| 36 | C2×#4339 | — | 2 | 4 | no | — |
| 37 | C2×#4339 | — | 2 | 2 | no | — |
| 38 | C22×D44 | — | 2 | 1 | no | — |
| 39 | C11×#131 | — | 2 | 2 | no | — |
| 40 | C11×#131 | — | 2 | 2 | no | — |
| 41 | C2×C11×M16 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×C11×M16 | C23 | 1 | 2 | yes | — |
| 43 | C22×C8×C11 | D4 | 1 | 2 | yes | — |
| 44 | C22×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 45 | #67000 | — | 4 | 1 | no | — |
| 46 | #66993 | — | 4 | 1 | no | — |
| 47 | #66990 | — | 4 | 2 | no | — |
| 48 | #66983 | — | 2 | 4 | no | — |
| 49 | #66979 | — | 2 | 1 | no | — |
| 50 | #66962 | — | 2 | 4 | no | — |
| 51 | #66962 | — | 2 | 8 | no | — |
| 52 | #66961 | — | 2 | 4 | no | — |
| 53 | #66961 | — | 2 | 8 | no | — |
| 54 | C2×Dic44 | — | 2 | 2 | no | — |
| 55 | C2×Dic44 | D4 | 1 | 2 | yes | complemented |
| 56 | #66957 | — | 2 | 4 | no | — |
| 57 | #66957 | — | 2 | 4 | no | — |
| 58 | #66957 | — | 2 | 2 | no | — |
| 59 | #66957 | — | 2 | 4 | no | — |
| 60 | #66957 | — | 2 | 2 | no | — |
| 61 | #66957 | D4 | 1 | 4 | yes | complemented |
| 62 | #66957 | C23 | 1 | 4 | yes | — |
| 63 | C2×D88 | — | 2 | 2 | no | — |
| 64 | C2×D88 | — | 2 | 2 | no | — |
| 65 | C2×D88 | — | 2 | 2 | no | — |
| 66 | C2×D88 | — | 2 | 1 | no | — |
| 67 | C2×D88 | D4 | 1 | 2 | yes | complemented |
| 68 | C2×D88 | C23 | 1 | 2 | yes | — |
| 69 | C2×#4314 | — | 2 | 4 | no | — |
| 70 | C2×#4314 | — | 2 | 2 | no | — |
| 71 | C11×M32 | — | 2 | 2 | no | — |
| 72 | C11×M32 | C23 | 1 | 4 | yes | — |
| 73 | C2×C11×C16 | — | 2 | 2 | no | — |
| 74 | #66885 | — | 2 | 4 | no | — |
| 75 | #66882 | — | 2 | 1 | no | — |
| 76 | #66881 | C23 | 1 | 2 | yes | — |
| 77 | #66864 | — | 2 | 8 | no | — |
| 78 | D176 | — | 2 | 8 | no | — |
| 79 | #33531 | — | 11 | 1 | no | maximal, Sylow |
| 80 | C23×D11 | — | 4 | 1 | no | — |
| 81 | C11×#41 | — | 2 | 2 | no | — |
| 82 | C11×#41 | — | 2 | 2 | no | — |
| 83 | C2×Q8×C11 | D8 | 1 | 1 | yes | characteristic |
| 84 | C2×D4×C11 | D8 | 1 | 2 | yes | — |
| 85 | C2×D4×C11 | D8 | 1 | 1 | yes | characteristic |
| 86 | C22×C4×C11 | C2×D4 | 1 | 2 | yes | — |
| 87 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C2×C22⋊D11 | — | 4 | 4 | no | — |
| 89 | C2×C22⋊D11 | — | 4 | 2 | no | — |
| 90 | C2×C22⋊D11 | — | 4 | 4 | no | — |
| 91 | #4343 | — | 4 | 4 | no | — |
| 92 | Q8×D11 | — | 4 | 4 | no | — |
| 93 | #4341 | — | 4 | 8 | no | — |
| 94 | #4341 | — | 4 | 4 | no | — |
| 95 | D4×D11 | — | 4 | 8 | no | — |
| 96 | D4×D11 | — | 4 | 4 | no | — |
| 97 | #4339 | — | 2 | 8 | no | — |
| 98 | #4339 | — | 2 | 4 | no | — |
| 99 | #4339 | — | 2 | 4 | no | — |
| 100 | #4339 | — | 4 | 4 | no | — |
| 101 | #4339 | — | 4 | 4 | no | — |
| 102 | #4339 | — | 4 | 2 | no | — |
| 103 | #4339 | — | 4 | 2 | no | — |
| 104 | C2×D44 | — | 2 | 4 | no | — |
| 105 | C2×D44 | — | 2 | 2 | no | — |
| 106 | C2×D44 | — | 2 | 2 | no | — |
| 107 | C2×D44 | — | 4 | 2 | no | — |
| 108 | C2×D44 | — | 4 | 1 | no | — |
| 109 | C2×D44 | — | 4 | 2 | no | — |
| 110 | C2×C4×D11 | — | 4 | 4 | no | — |
| 111 | C2×C4×D11 | — | 4 | 2 | no | — |
| 112 | C2×Dic22 | — | 2 | 4 | no | — |
| 113 | C2×Dic22 | — | 2 | 2 | no | — |
| 114 | C11×M16 | — | 2 | 4 | no | — |
| 115 | C11×M16 | — | 2 | 2 | no | — |
| 116 | C2×C8×C11 | — | 2 | 2 | no | — |
| 117 | C2×C8×C11 | — | 2 | 2 | no | — |
| 118 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 119 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 120 | C2×C8×C11 | C2×D4 | 1 | 2 | yes | — |
| 121 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 123 | C22⋊Dic11 | — | 4 | 1 | no | — |
| 124 | (C2×D11)⋊C4 | — | 4 | 4 | no | — |
| 125 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 126 | C4×Dic11 | — | 4 | 1 | no | — |
| 127 | Dic44 | — | 2 | 4 | no | — |
| 128 | Dic44 | — | 2 | 2 | no | — |
| 129 | Dic44 | C2×D4 | 1 | 4 | yes | — |
| 130 | D88 | — | 2 | 4 | no | — |
| 131 | D88 | — | 2 | 2 | no | — |
| 132 | D88 | — | 2 | 4 | no | — |
| 133 | D88 | — | 4 | 1 | no | — |
| 134 | D88 | — | 4 | 1 | no | — |
| 135 | D88 | C2×D4 | 1 | 4 | yes | — |
| 136 | #4314 | — | 2 | 8 | no | — |
| 137 | #4314 | — | 2 | 4 | no | — |
| 138 | #4314 | — | 2 | 4 | no | — |
| 139 | C11×C16 | — | 2 | 4 | no | — |
| 140 | #3584 | — | 11 | 1 | no | — |
| 141 | C2×#509 | — | 11 | 2 | no | — |
| 142 | #3058 | — | 11 | 1 | no | — |
| 143 | #2190 | — | 11 | 8 | no | — |
| 144 | #2145 | — | 11 | 2 | no | — |
| 145 | #2115 | D11 | 1 | 1 | yes | characteristic, complemented |
| 146 | C23×C11 | C2×D8 | 1 | 2 | yes | — |
| 147 | C23×C11 | C2×D8 | 1 | 1 | yes | characteristic |
| 148 | C22×D11 | — | 4 | 4 | no | — |
| 149 | C22×D11 | — | 4 | 2 | no | — |
| 150 | C22×D11 | — | 4 | 2 | no | — |
| 151 | C22×D11 | — | 8 | 2 | no | — |
| 152 | C22×D11 | — | 16 | 2 | no | — |
| 153 | Q8×C11 | — | 2 | 2 | no | — |
| 154 | D4×C11 | — | 2 | 4 | no | — |
| 155 | D4×C11 | — | 2 | 2 | no | — |
| 156 | C2×C4×C11 | — | 2 | 2 | no | — |
| 157 | C2×C4×C11 | — | 2 | 2 | no | — |
| 158 | C2×C4×C11 | #120 | 1 | 2 | yes | — |
| 159 | C2×C4×C11 | C2×D8 | 1 | 2 | yes | — |
| 160 | C2×C4×C11 | C2×D8 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C11 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 162 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 163 | C22⋊D11 | — | 4 | 8 | no | — |
| 164 | C22⋊D11 | — | 4 | 4 | no | — |
| 165 | C22⋊D11 | — | 4 | 4 | no | — |
| 166 | C22⋊D11 | — | 16 | 4 | no | — |
| 167 | C2×Dic11 | — | 4 | 4 | no | — |
| 168 | C2×Dic11 | — | 4 | 2 | no | — |
| 169 | C2×Dic11 | — | 4 | 2 | no | — |
| 170 | D44 | — | 2 | 4 | no | — |
| 171 | D44 | — | 4 | 4 | no | — |
| 172 | D44 | — | 4 | 2 | no | — |
| 173 | D44 | — | 4 | 2 | no | — |
| 174 | D44 | — | 4 | 2 | no | — |
| 175 | D44 | — | 8 | 2 | no | — |
| 176 | C4×D11 | — | 4 | 8 | no | — |
| 177 | C4×D11 | — | 4 | 4 | no | — |
| 178 | C4×D11 | — | 4 | 4 | no | — |
| 179 | Dic22 | — | 2 | 4 | no | — |
| 180 | Dic22 | — | 4 | 4 | no | — |
| 181 | Dic22 | — | 4 | 2 | no | — |
| 182 | C8×C11 | — | 2 | 2 | no | — |
| 183 | C8×C11 | #120 | 1 | 1 | yes | characteristic |
| 184 | C8×C11 | #120 | 1 | 1 | yes | characteristic |
| 185 | C8×C11 | C22×D4 | 1 | 2 | yes | — |
| 186 | #585 | — | 22 | 1 | no | — |
| 187 | #578 | — | 22 | 2 | no | — |
| 188 | #577 | — | 22 | 4 | no | — |
| 189 | #576 | — | 22 | 2 | no | — |
| 190 | #575 | — | 11 | 4 | no | — |
| 191 | #575 | — | 22 | 1 | no | — |
| 192 | C2×#135 | — | 11 | 2 | no | — |
| 193 | C2×#135 | — | 22 | 2 | no | — |
| 194 | C22×D8 | — | 11 | 1 | no | — |
| 195 | C2×#131 | C2×D11 | 1 | 1 | yes | characteristic |
| 196 | #535 | — | 22 | 1 | no | — |
| 197 | #509 | — | 11 | 8 | no | — |
| 198 | #509 | — | 22 | 4 | no | — |
| 199 | C2×SD32 | — | 22 | 2 | no | — |
| 200 | C2×D16 | — | 22 | 2 | no | — |
| 201 | C2×M32 | C2×D11 | 1 | 2 | yes | complemented |
| 202 | #469 | — | 11 | 4 | no | — |
| 203 | #466 | — | 22 | 2 | no | — |
| 204 | #427 | — | 11 | 1 | no | — |
| 205 | #418 | — | 22 | 1 | no | — |
| 206 | #360 | — | 11 | 8 | no | — |
| 207 | #349 | C2×D11 | 1 | 4 | yes | complemented |
| 208 | C22×C11 | — | 2 | 2 | no | — |
| 209 | C22×C11 | — | 4 | 1 | no | — |
| 210 | C22×C11 | — | 4 | 2 | no | — |
| 211 | C22×C11 | #447 | 1 | 2 | yes | — |
| 212 | C22×C11 | C22×D8 | 1 | 1 | yes | characteristic |
| 213 | C2×D11 | — | 4 | 4 | no | — |
| 214 | C2×D11 | — | 8 | 4 | no | — |
| 215 | C2×D11 | — | 8 | 2 | no | — |
| 216 | C2×D11 | — | 16 | 2 | no | — |
| 217 | C2×D11 | — | 16 | 4 | no | — |
| 218 | C2×D11 | — | 16 | 4 | no | — |
| 219 | C4×C11 | — | 2 | 2 | no | — |
| 220 | C4×C11 | #447 | 1 | 2 | yes | — |
| 221 | C4×C11 | C2×#120 | 1 | 1 | yes | characteristic |
| 222 | C4×C11 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 223 | Dic11 | — | 4 | 4 | no | — |
| 224 | Dic11 | — | 8 | 2 | no | — |
| 225 | 2−1+4 | — | 22 | 4 | no | — |
| 226 | 2−1+4 | — | 44 | 1 | no | — |
| 227 | H(5,𝔽2) | — | 22 | 4 | no | — |
| 228 | H(5,𝔽2) | — | 44 | 2 | no | — |
| 229 | H(5,𝔽2) | — | 44 | 1 | no | — |
| 230 | C2×#41 | — | 22 | 4 | no | — |
| 231 | C2×#41 | — | 22 | 2 | no | — |
| 232 | C2×#41 | — | 44 | 4 | no | — |
| 233 | C2×#41 | D44 | 1 | 1 | yes | characteristic |
| 234 | C22×D4 | — | 22 | 1 | no | — |
| 235 | #137 | — | 22 | 8 | no | — |
| 236 | #137 | — | 22 | 4 | no | — |
| 237 | AGL(1,ℤ/8) | — | 22 | 8 | no | — |
| 238 | AGL(1,ℤ/8) | — | 22 | 4 | no | — |
| 239 | #135 | — | 11 | 4 | no | — |
| 240 | #135 | — | 11 | 4 | no | — |
| 241 | #135 | — | 22 | 4 | no | — |
| 242 | #135 | — | 22 | 4 | no | — |
| 243 | #135 | — | 22 | 2 | no | — |
| 244 | #135 | — | 22 | 4 | no | — |
| 245 | #135 | — | 22 | 2 | no | — |
| 246 | C2×Q16 | — | 11 | 2 | no | — |
| 247 | C2×Q16 | — | 22 | 2 | no | — |
| 248 | C2×SD16 | — | 22 | 4 | no | — |
| 249 | C2×SD16 | — | 22 | 2 | no | — |
| 250 | C2×D8 | — | 11 | 2 | no | — |
| 251 | C2×D8 | — | 11 | 2 | no | — |
| 252 | C2×D8 | — | 22 | 2 | no | — |
| 253 | C2×D8 | — | 22 | 1 | no | — |
| 254 | C2×D8 | — | 22 | 2 | no | — |
| 255 | C2×D8 | — | 22 | 2 | no | — |
| 256 | #131 | — | 2 | 2 | no | — |
| 257 | #131 | — | 2 | 2 | no | — |
| 258 | C2×M16 | D44 | 1 | 1 | yes | characteristic |
| 259 | C2×M16 | C22×D11 | 1 | 2 | yes | — |
| 260 | C22×C8 | D44 | 1 | 2 | yes | — |
| 261 | C22×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 262 | #127 | — | 44 | 1 | no | — |
| 263 | #124 | — | 44 | 1 | no | — |
| 264 | #121 | — | 22 | 4 | no | — |
| 265 | #120 | — | 44 | 2 | no | — |
| 266 | #117 | — | 22 | 1 | no | — |
| 267 | SD32 | — | 22 | 8 | no | — |
| 268 | D16 | — | 22 | 8 | no | — |
| 269 | M32 | — | 2 | 2 | no | — |
| 270 | M32 | C22×D11 | 1 | 4 | yes | — |
| 271 | C2×C16 | — | 2 | 2 | no | — |
| 272 | #107 | — | 22 | 1 | no | — |
| 273 | #106 | — | 11 | 2 | no | — |
| 274 | #102 | — | 22 | 4 | no | — |
| 275 | C2×C11 | — | 2 | 1 | no | — |
| 276 | C2×C11 | — | 2 | 2 | no | — |
| 277 | C2×C11 | — | 4 | 2 | no | — |
| 278 | C2×C11 | C2×#447 | 1 | 1 | yes | characteristic |
| 279 | D11 | — | 8 | 4 | no | — |
| 280 | D11 | — | 16 | 2 | no | — |
| 281 | C24 | — | 44 | 1 | no | — |
| 282 | #41 | — | 2 | 2 | no | — |
| 283 | #41 | — | 2 | 2 | no | — |
| 284 | #41 | — | 22 | 8 | no | — |
| 285 | #41 | — | 22 | 4 | no | — |
| 286 | #41 | — | 22 | 4 | no | — |
| 287 | #41 | — | 44 | 4 | no | — |
| 288 | #41 | — | 44 | 8 | no | — |
| 289 | #41 | — | 44 | 4 | no | — |
| 290 | #41 | — | 44 | 4 | no | — |
| 291 | #41 | — | 44 | 4 | no | — |
| 292 | #41 | — | 44 | 2 | no | — |
| 293 | #41 | — | 44 | 2 | no | — |
| 294 | C2×Q8 | — | 22 | 4 | no | — |
| 295 | C2×Q8 | — | 22 | 2 | no | — |
| 296 | C2×Q8 | — | 44 | 4 | no | — |
| 297 | C2×Q8 | D88 | 1 | 1 | yes | characteristic |
| 298 | C2×D4 | — | 22 | 4 | no | — |
| 299 | C2×D4 | — | 22 | 2 | no | — |
| 300 | C2×D4 | — | 22 | 2 | no | — |
| 301 | C2×D4 | — | 44 | 8 | no | — |
| 302 | C2×D4 | — | 44 | 4 | no | — |
| 303 | C2×D4 | — | 44 | 4 | no | — |
| 304 | C2×D4 | — | 44 | 2 | no | — |
| 305 | C2×D4 | — | 44 | 4 | no | — |
| 306 | C2×D4 | — | 44 | 2 | no | — |
| 307 | C2×D4 | — | 44 | 1 | no | — |
| 308 | C2×D4 | — | 44 | 2 | no | — |
| 309 | C2×D4 | D88 | 1 | 2 | yes | — |
| 310 | C2×D4 | D88 | 1 | 1 | yes | characteristic |
| 311 | C22×C4 | — | 44 | 4 | no | — |
| 312 | C22×C4 | — | 44 | 2 | no | — |
| 313 | C22×C4 | C2×D44 | 1 | 2 | yes | — |
| 314 | C22×C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 315 | Q16 | — | 11 | 4 | no | — |
| 316 | Q16 | — | 22 | 4 | no | — |
| 317 | Q16 | — | 22 | 2 | no | — |
| 318 | SD16 | — | 22 | 8 | no | — |
| 319 | SD16 | — | 22 | 4 | no | — |
| 320 | SD16 | — | 22 | 4 | no | — |
| 321 | D8 | — | 11 | 4 | no | — |
| 322 | D8 | — | 22 | 4 | no | — |
| 323 | D8 | — | 22 | 2 | no | — |
| 324 | D8 | — | 22 | 4 | no | — |
| 325 | D8 | — | 44 | 1 | no | — |
| 326 | D8 | — | 44 | 1 | no | — |
| 327 | M16 | — | 2 | 2 | no | — |
| 328 | M16 | — | 2 | 4 | no | — |
| 329 | C2×C8 | — | 2 | 2 | no | — |
| 330 | C2×C8 | — | 2 | 2 | no | — |
| 331 | C2×C8 | C2×D44 | 1 | 2 | yes | — |
| 332 | C2×C8 | C2×D44 | 1 | 1 | yes | characteristic |
| 333 | C2×C8 | D4×D11 | 1 | 2 | yes | — |
| 334 | C2×C8 | D4×D11 | 1 | 2 | yes | — |
| 335 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 336 | C4⋊C4 | — | 22 | 2 | no | — |
| 337 | C22⋊C4 | — | 44 | 1 | no | — |
| 338 | C22⋊C4 | — | 44 | 4 | no | — |
| 339 | C42 | — | 44 | 1 | no | — |
| 340 | C16 | — | 2 | 4 | no | — |
| 341 | C11 | #33531 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 342 | C23 | — | 44 | 4 | no | — |
| 343 | C23 | — | 44 | 2 | no | — |
| 344 | C23 | — | 44 | 2 | no | — |
| 345 | C23 | — | 88 | 2 | no | — |
| 346 | C23 | — | 176 | 2 | no | — |
| 347 | C23 | C2×D88 | 1 | 2 | yes | — |
| 348 | C23 | C2×D88 | 1 | 1 | yes | characteristic |
| 349 | Q8 | — | 2 | 2 | no | — |
| 350 | Q8 | — | 22 | 4 | no | — |
| 351 | Q8 | — | 44 | 4 | no | — |
| 352 | Q8 | — | 44 | 2 | no | — |
| 353 | D4 | — | 2 | 4 | no | — |
| 354 | D4 | — | 2 | 2 | no | — |
| 355 | D4 | — | 22 | 4 | no | — |
| 356 | D4 | — | 44 | 4 | no | — |
| 357 | D4 | — | 44 | 8 | no | — |
| 358 | D4 | — | 44 | 4 | no | — |
| 359 | D4 | — | 44 | 4 | no | — |
| 360 | D4 | — | 44 | 2 | no | — |
| 361 | D4 | — | 44 | 2 | no | — |
| 362 | D4 | — | 44 | 2 | no | — |
| 363 | D4 | — | 88 | 2 | no | — |
| 364 | D4 | — | 176 | 4 | no | — |
| 365 | C2×C4 | — | 2 | 2 | no | — |
| 366 | C2×C4 | — | 2 | 2 | no | — |
| 367 | C2×C4 | — | 44 | 8 | no | — |
| 368 | C2×C4 | — | 44 | 4 | no | — |
| 369 | C2×C4 | — | 44 | 2 | no | — |
| 370 | C2×C4 | — | 44 | 4 | no | — |
| 371 | C2×C4 | — | 44 | 4 | no | — |
| 372 | C2×C4 | — | 44 | 2 | no | — |
| 373 | C2×C4 | #66935 | 1 | 2 | yes | — |
| 374 | C2×C4 | C2×D88 | 1 | 2 | yes | — |
| 375 | C2×C4 | C2×D88 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | #66961 | 1 | 2 | yes | — |
| 377 | C2×C4 | C22×D44 | 1 | 1 | yes | characteristic |
| 378 | C8 | — | 2 | 2 | no | — |
| 379 | C8 | #66935 | 1 | 1 | yes | characteristic |
| 380 | C8 | #66935 | 1 | 1 | yes | characteristic |
| 381 | C8 | C2×D4×D11 | 1 | 2 | yes | — |
| 382 | C22 | — | 2 | 2 | no | — |
| 383 | C22 | — | 4 | 1 | no | — |
| 384 | C22 | — | 4 | 2 | no | — |
| 385 | C22 | — | 44 | 4 | no | — |
| 386 | C22 | — | 88 | 4 | no | — |
| 387 | C22 | — | 88 | 2 | no | — |
| 388 | C22 | — | 176 | 2 | no | — |
| 389 | C22 | — | 176 | 4 | no | — |
| 390 | C22 | — | 176 | 4 | no | — |
| 391 | C22 | #10622345 | 1 | 2 | yes | — |
| 392 | C22 | C22×D88 | 1 | 1 | yes | characteristic |
| 393 | C4 | — | 2 | 2 | no | — |
| 394 | C4 | — | 44 | 4 | no | — |
| 395 | C4 | — | 88 | 2 | no | — |
| 396 | C4 | #10622345 | 1 | 2 | yes | — |
| 397 | C4 | C2×#66935 | 1 | 1 | yes | characteristic |
| 398 | C4 | C2×#66961 | 1 | 1 | yes | characteristic |
| 399 | C2 | — | 2 | 1 | no | — |
| 400 | C2 | — | 2 | 2 | no | — |
| 401 | C2 | — | 4 | 2 | no | — |
| 402 | C2 | — | 88 | 4 | no | — |
| 403 | C2 | — | 176 | 2 | no | — |
| 404 | C2 | C2×#10622345 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13083390 | C2 | semidirect |
| 2. C2×#10622521 | C2 | semidirect |
| 3. #13078264 | C2 | semidirect |
| 4. #13070564 | C2 | semidirect |
| 5. #13070353 | C2 | semidirect |
| 6. C11×#2115 | C2 | semidirect |
| 14. #10623279 | C22 | semidirect |
| 17. C22×D88 | C22 | semidirect |
| 18. C2×C11×M32 | C22 | semidirect |
| 19. #10622748 | C22 | semidirect |
| 22. #10622719 | C22 | semidirect |
| 24. #10622521 | C22 | semidirect |
| 27. C11×#349 | C22 | semidirect |
| 28. #10622156 | C22 | semidirect |
| 55. C2×Dic44 | D4 | semidirect |
| 61. #66957 | D4 | semidirect |
| 67. C2×D88 | D4 | semidirect |
| 145. #2115 | D11 | semidirect |
| 201. C2×M32 | C2×D11 | semidirect |
| 207. #349 | C2×D11 | semidirect |
| 341. C11 | #33531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13083390 | 2 |
| C2×#10622521 | 2 |
| #13078264 | 2 |
| #13070564 | 2 |
| #13070353 | 2 |
| C11×#2115 | 2 |
| #33531 | 11 |