Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
583 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 583 conjugacy classes of subgroups — too many to draw. Only its 80 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 | #10596219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10590633 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#4553 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10589125 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #71089 | — | 3 | 1 | no | maximal |
| 7 | #69120 | — | 3 | 1 | no | maximal |
| 8 | C2×#3828 | — | 2 | 1 | no | — |
| 9 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 10 | #64118 | — | 2 | 2 | no | — |
| 11 | #64117 | — | 2 | 2 | no | — |
| 12 | #64113 | — | 2 | 1 | no | — |
| 13 | #64113 | C22 | 1 | 2 | yes | — |
| 14 | C3×#930 | — | 2 | 1 | no | — |
| 15 | C2×C3×D24 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C3×#821 | — | 2 | 1 | no | — |
| 17 | C3×#817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C3×#812 | C22 | 1 | 2 | yes | complemented |
| 19 | #63548 | — | 2 | 2 | no | — |
| 20 | #63546 | — | 2 | 2 | no | — |
| 21 | #5748 | — | 3 | 1 | no | — |
| 22 | #5748 | — | 3 | 1 | no | — |
| 23 | #5748 | — | 6 | 1 | no | — |
| 24 | C3×#469 | — | 3 | 1 | no | — |
| 25 | #5147 | — | 3 | 2 | no | — |
| 26 | #5135 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #4908 | — | 3 | 2 | no | — |
| 28 | C3×#349 | — | 3 | 1 | no | — |
| 29 | #4553 | D3 | 1 | 1 | yes | characteristic, complemented |
| 30 | #4518 | — | 3 | 2 | no | — |
| 31 | #4488 | — | 3 | 2 | no | — |
| 32 | C22×C32×C4 | D4 | 1 | 1 | yes | characteristic |
| 33 | C2×#638 | — | 4 | 1 | no | — |
| 34 | #3828 | — | 2 | 2 | no | — |
| 35 | #3828 | — | 2 | 2 | no | — |
| 36 | #3828 | — | 4 | 1 | no | — |
| 37 | #3828 | — | 4 | 1 | no | — |
| 38 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 39 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 40 | C2×#634 | — | 2 | 1 | no | — |
| 41 | C2×C3×#67 | — | 4 | 1 | no | — |
| 42 | C2×C3×D12 | — | 2 | 1 | no | — |
| 43 | C32×M16 | — | 2 | 2 | no | — |
| 44 | C2×C32×C8 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 46 | #3746 | — | 2 | 1 | no | — |
| 47 | #3746 | D4 | 1 | 2 | yes | complemented |
| 48 | #3745 | — | 2 | 1 | no | — |
| 49 | #3745 | D4 | 1 | 2 | yes | complemented |
| 50 | #3744 | — | 2 | 2 | no | — |
| 51 | #3744 | — | 2 | 2 | no | — |
| 52 | C3×(C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 53 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 54 | C3×D24 | — | 2 | 2 | no | — |
| 55 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 56 | #2190 | — | 9 | 1 | no | Sylow |
| 57 | C2×#235 | — | 6 | 2 | no | — |
| 58 | C2×#235 | — | 6 | 1 | no | — |
| 59 | C2×#235 | — | 6 | 1 | no | — |
| 60 | C2×C3×D8 | — | 3 | 1 | no | — |
| 61 | C2×C3×M16 | — | 2 | 1 | no | — |
| 62 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 63 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 64 | C3×#121 | — | 6 | 1 | no | — |
| 65 | #930 | — | 2 | 1 | no | — |
| 66 | #909 | — | 6 | 2 | no | — |
| 67 | #909 | — | 6 | 2 | no | — |
| 68 | #909 | — | 6 | 4 | no | — |
| 69 | #908 | — | 6 | 2 | no | — |
| 70 | #908 | — | 6 | 2 | no | — |
| 71 | #908 | — | 6 | 4 | no | — |
| 72 | #904 | — | 3 | 2 | no | — |
| 73 | #904 | — | 3 | 2 | no | — |
| 74 | #904 | — | 6 | 2 | no | — |
| 75 | #904 | — | 6 | 2 | no | — |
| 76 | #904 | — | 6 | 1 | no | — |
| 77 | #904 | — | 6 | 1 | no | — |
| 78 | C2×D24 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 79 | C3×M32 | — | 3 | 2 | no | — |
| 80 | C3×#106 | — | 3 | 1 | no | — |
| 81 | C3×#102 | — | 6 | 1 | no | — |
| 82 | #827 | — | 6 | 2 | no | — |
| 83 | #826 | — | 6 | 2 | no | — |
| 84 | #821 | — | 2 | 1 | no | — |
| 85 | #817 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 86 | #812 | C2×D3 | 1 | 2 | yes | complemented |
| 87 | #800 | — | 6 | 2 | no | — |
| 88 | D48 | — | 6 | 2 | no | — |
| 89 | C23×C32 | D8 | 1 | 1 | yes | characteristic |
| 90 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 91 | C22×C3×D3 | — | 4 | 1 | no | — |
| 92 | C2×C32×C4 | — | 2 | 1 | no | — |
| 93 | C2×C32×C4 | — | 2 | 1 | no | — |
| 94 | C2×C32×C4 | D8 | 1 | 1 | yes | characteristic |
| 95 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | #638 | — | 4 | 2 | no | — |
| 97 | #638 | — | 4 | 2 | no | — |
| 98 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 99 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 100 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 101 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 102 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 103 | #634 | — | 2 | 2 | no | — |
| 104 | #634 | — | 4 | 1 | no | — |
| 105 | C3×#67 | — | 8 | 2 | no | — |
| 106 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 107 | C3×D12 | — | 4 | 1 | no | — |
| 108 | C3×D12 | — | 4 | 1 | no | — |
| 109 | C32×C8 | — | 2 | 1 | no | — |
| 110 | C32×C8 | C2×D4 | 1 | 2 | yes | — |
| 111 | #575 | — | 9 | 1 | no | — |
| 112 | #509 | — | 9 | 2 | no | — |
| 113 | #469 | — | 3 | 1 | no | — |
| 114 | #360 | — | 9 | 2 | no | — |
| 115 | #349 | — | 3 | 1 | no | — |
| 116 | C2×C3×D4 | — | 6 | 1 | no | — |
| 117 | C2×C3×D4 | — | 12 | 1 | no | — |
| 118 | C22×C3×C4 | — | 2 | 1 | no | — |
| 119 | C22×C3×C4 | D12 | 1 | 1 | yes | characteristic |
| 120 | C22×C3×C4 | #67 | 1 | 1 | yes | characteristic |
| 121 | C2×#67 | — | 4 | 1 | no | — |
| 122 | C2×#67 | — | 12 | 2 | no | — |
| 123 | C2×#67 | — | 12 | 1 | no | — |
| 124 | C2×#67 | — | 12 | 1 | no | — |
| 125 | #235 | — | 6 | 4 | no | — |
| 126 | #235 | — | 6 | 4 | no | — |
| 127 | #235 | — | 6 | 2 | no | — |
| 128 | #235 | — | 6 | 2 | no | — |
| 129 | #235 | — | 6 | 2 | no | — |
| 130 | #235 | — | 6 | 2 | no | — |
| 131 | #235 | — | 12 | 2 | no | — |
| 132 | #235 | — | 12 | 1 | no | — |
| 133 | #235 | — | 12 | 1 | no | — |
| 134 | #235 | — | 12 | 2 | no | — |
| 135 | #235 | — | 12 | 1 | no | — |
| 136 | #235 | — | 12 | 1 | no | — |
| 137 | C2×D12 | — | 2 | 1 | no | — |
| 138 | C2×D12 | — | 6 | 2 | no | — |
| 139 | C2×D12 | — | 6 | 1 | no | — |
| 140 | C2×D12 | — | 6 | 1 | no | — |
| 141 | C2×C4×D3 | — | 12 | 2 | no | — |
| 142 | C2×C4×D3 | — | 12 | 1 | no | — |
| 143 | C2×C4×D3 | — | 12 | 1 | no | — |
| 144 | C2×Dic6 | — | 6 | 2 | no | — |
| 145 | C2×Dic6 | — | 6 | 1 | no | — |
| 146 | C2×Dic6 | — | 6 | 1 | no | — |
| 147 | C3×D8 | — | 6 | 2 | no | — |
| 148 | C3×M16 | — | 2 | 4 | no | — |
| 149 | C3×M16 | — | 2 | 2 | no | — |
| 150 | C3×M16 | — | 2 | 2 | no | — |
| 151 | C2×C3×C8 | — | 2 | 1 | no | — |
| 152 | C2×C3×C8 | — | 2 | 1 | no | — |
| 153 | C2×C3×C8 | D12 | 1 | 1 | yes | characteristic |
| 154 | C2×C3×C8 | #67 | 1 | 1 | yes | characteristic |
| 155 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 157 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 158 | C3×C22⋊C4 | — | 12 | 1 | no | — |
| 159 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 160 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 161 | Dic12 | — | 3 | 2 | no | — |
| 162 | Dic12 | — | 3 | 2 | no | — |
| 163 | Dic12 | — | 6 | 2 | no | — |
| 164 | Dic12 | — | 6 | 2 | no | — |
| 165 | Dic12 | — | 6 | 1 | no | — |
| 166 | Dic12 | — | 6 | 1 | no | — |
| 167 | D24 | — | 2 | 2 | no | — |
| 168 | D24 | — | 3 | 2 | no | — |
| 169 | D24 | — | 3 | 2 | no | — |
| 170 | D24 | — | 6 | 2 | no | — |
| 171 | D24 | — | 6 | 2 | no | — |
| 172 | D24 | — | 6 | 1 | no | — |
| 173 | D24 | — | 6 | 1 | no | — |
| 174 | #204 | — | 6 | 4 | no | — |
| 175 | #204 | — | 6 | 2 | no | — |
| 176 | #204 | — | 6 | 2 | no | — |
| 177 | #204 | — | 6 | 4 | no | — |
| 178 | #204 | — | 6 | 2 | no | — |
| 179 | #204 | — | 6 | 2 | no | — |
| 180 | C3×C16 | — | 6 | 2 | no | — |
| 181 | C3⋊C16 | — | 2 | 2 | no | — |
| 182 | C22×C32 | — | 2 | 1 | no | — |
| 183 | C22×C32 | — | 4 | 1 | no | — |
| 184 | C22×C32 | C2×D8 | 1 | 1 | yes | characteristic |
| 185 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 186 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 187 | C2×C3×D3 | — | 8 | 1 | no | — |
| 188 | C2×C3×D3 | — | 8 | 1 | no | — |
| 189 | C2×C3×D3 | — | 8 | 1 | no | — |
| 190 | C32×C4 | — | 2 | 1 | no | — |
| 191 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 192 | C32×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 193 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 194 | C3×Dic3 | — | 8 | 1 | no | — |
| 195 | C2×#41 | — | 18 | 1 | no | — |
| 196 | #137 | — | 18 | 2 | no | — |
| 197 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 198 | #135 | — | 9 | 2 | no | — |
| 199 | #135 | — | 18 | 1 | no | — |
| 200 | C2×D8 | — | 3 | 1 | no | — |
| 201 | C2×M16 | D32 | 1 | 1 | yes | characteristic |
| 202 | #121 | — | 6 | 1 | no | — |
| 203 | SD32 | — | 18 | 2 | no | — |
| 204 | D16 | — | 18 | 2 | no | — |
| 205 | M32 | — | 3 | 2 | no | — |
| 206 | #106 | — | 3 | 1 | no | — |
| 207 | #102 | — | 6 | 1 | no | — |
| 208 | C23×C3 | — | 2 | 1 | no | — |
| 209 | C23×C3 | — | 12 | 1 | no | — |
| 210 | C23×C3 | D24 | 1 | 1 | yes | characteristic |
| 211 | C23×C3 | #213 | 1 | 1 | yes | characteristic |
| 212 | C22×D3 | — | 4 | 1 | no | — |
| 213 | C22×D3 | — | 12 | 2 | no | — |
| 214 | C22×D3 | — | 12 | 1 | no | — |
| 215 | C22×D3 | — | 12 | 1 | no | — |
| 216 | C3×D4 | — | 12 | 1 | no | — |
| 217 | C3×D4 | — | 12 | 1 | no | — |
| 218 | C3×D4 | — | 24 | 2 | no | — |
| 219 | C2×C3×C4 | — | 2 | 2 | no | — |
| 220 | C2×C3×C4 | — | 2 | 2 | no | — |
| 221 | C2×C3×C4 | — | 2 | 1 | no | — |
| 222 | C2×C3×C4 | — | 2 | 1 | no | — |
| 223 | C2×C3×C4 | — | 2 | 1 | no | — |
| 224 | C2×C3×C4 | — | 2 | 1 | no | — |
| 225 | C2×C3×C4 | — | 2 | 1 | no | — |
| 226 | C2×C3×C4 | — | 2 | 1 | no | — |
| 227 | C2×C3×C4 | — | 12 | 1 | no | — |
| 228 | C2×C3×C4 | D24 | 1 | 1 | yes | characteristic |
| 229 | C2×C3×C4 | #213 | 1 | 1 | yes | characteristic |
| 230 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 231 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 232 | #67 | — | 8 | 2 | no | — |
| 233 | #67 | — | 12 | 4 | no | — |
| 234 | #67 | — | 12 | 2 | no | — |
| 235 | #67 | — | 12 | 2 | no | — |
| 236 | #67 | — | 12 | 4 | no | — |
| 237 | #67 | — | 12 | 2 | no | — |
| 238 | #67 | — | 12 | 2 | no | — |
| 239 | C2×Dic3 | — | 4 | 1 | no | — |
| 240 | C2×Dic3 | — | 12 | 2 | no | — |
| 241 | C2×Dic3 | — | 12 | 1 | no | — |
| 242 | C2×Dic3 | — | 12 | 1 | no | — |
| 243 | D12 | — | 4 | 1 | no | — |
| 244 | D12 | — | 4 | 1 | no | — |
| 245 | D12 | — | 6 | 4 | no | — |
| 246 | D12 | — | 6 | 2 | no | — |
| 247 | D12 | — | 6 | 2 | no | — |
| 248 | D12 | — | 12 | 2 | no | — |
| 249 | D12 | — | 12 | 1 | no | — |
| 250 | D12 | — | 12 | 1 | no | — |
| 251 | C4×D3 | — | 12 | 4 | no | — |
| 252 | C4×D3 | — | 12 | 2 | no | — |
| 253 | C4×D3 | — | 12 | 2 | no | — |
| 254 | C4×D3 | — | 12 | 4 | no | — |
| 255 | C4×D3 | — | 12 | 2 | no | — |
| 256 | C4×D3 | — | 12 | 2 | no | — |
| 257 | Dic6 | — | 6 | 4 | no | — |
| 258 | Dic6 | — | 6 | 2 | no | — |
| 259 | Dic6 | — | 6 | 2 | no | — |
| 260 | Dic6 | — | 12 | 2 | no | — |
| 261 | Dic6 | — | 12 | 1 | no | — |
| 262 | Dic6 | — | 12 | 1 | no | — |
| 263 | C3×C8 | — | 2 | 2 | no | — |
| 264 | C3×C8 | — | 2 | 1 | no | — |
| 265 | C3×C8 | — | 2 | 1 | no | — |
| 266 | C3×C8 | — | 2 | 2 | no | — |
| 267 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 268 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 269 | C2×C32 | — | 2 | 1 | no | — |
| 270 | C2×C32 | — | 4 | 1 | no | — |
| 271 | C2×C32 | #447 | 1 | 1 | yes | characteristic |
| 272 | C3⋊D3 | — | 8 | 2 | no | — |
| 273 | C3×D3 | — | 16 | 1 | no | — |
| 274 | #41 | — | 18 | 2 | no | — |
| 275 | #41 | — | 18 | 2 | no | — |
| 276 | #41 | — | 36 | 1 | no | — |
| 277 | #41 | — | 36 | 1 | no | — |
| 278 | C2×Q8 | — | 18 | 1 | no | — |
| 279 | C2×D4 | — | 6 | 1 | no | — |
| 280 | C2×D4 | — | 12 | 1 | no | — |
| 281 | C2×D4 | — | 18 | 1 | no | — |
| 282 | C2×D4 | — | 36 | 1 | no | — |
| 283 | C22×C4 | — | 36 | 1 | no | — |
| 284 | C22×C4 | #626 | 1 | 1 | yes | characteristic |
| 285 | Q16 | — | 9 | 2 | no | — |
| 286 | Q16 | — | 18 | 1 | no | — |
| 287 | SD16 | — | 18 | 2 | no | — |
| 288 | SD16 | — | 18 | 2 | no | — |
| 289 | D8 | — | 6 | 2 | no | — |
| 290 | D8 | — | 9 | 2 | no | — |
| 291 | D8 | — | 18 | 1 | no | — |
| 292 | M16 | — | 2 | 2 | no | — |
| 293 | C2×C8 | #626 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 295 | C4⋊C4 | — | 6 | 1 | no | — |
| 296 | C22⋊C4 | — | 12 | 1 | no | — |
| 297 | C16 | — | 6 | 2 | no | — |
| 298 | C22×C3 | — | 2 | 2 | no | — |
| 299 | C22×C3 | — | 2 | 1 | no | — |
| 300 | C22×C3 | — | 2 | 1 | no | — |
| 301 | C22×C3 | — | 2 | 1 | no | — |
| 302 | C22×C3 | — | 4 | 1 | no | — |
| 303 | C22×C3 | — | 4 | 1 | no | — |
| 304 | C22×C3 | — | 8 | 1 | no | — |
| 305 | C22×C3 | — | 24 | 1 | no | — |
| 306 | C22×C3 | — | 24 | 1 | no | — |
| 307 | C22×C3 | — | 24 | 1 | no | — |
| 308 | C22×C3 | C2×D24 | 1 | 1 | yes | characteristic |
| 309 | C22×C3 | C2×#213 | 1 | 1 | yes | characteristic |
| 310 | C2×D3 | — | 8 | 1 | no | — |
| 311 | C2×D3 | — | 8 | 1 | no | — |
| 312 | C2×D3 | — | 8 | 1 | no | — |
| 313 | C2×D3 | — | 12 | 4 | no | — |
| 314 | C2×D3 | — | 12 | 2 | no | — |
| 315 | C2×D3 | — | 12 | 2 | no | — |
| 316 | C2×D3 | — | 24 | 4 | no | — |
| 317 | C2×D3 | — | 24 | 2 | no | — |
| 318 | C2×D3 | — | 24 | 2 | no | — |
| 319 | C3×C4 | — | 2 | 2 | no | — |
| 320 | C3×C4 | — | 2 | 1 | no | — |
| 321 | C3×C4 | — | 2 | 1 | no | — |
| 322 | C3×C4 | — | 2 | 1 | no | — |
| 323 | C3×C4 | — | 2 | 1 | no | — |
| 324 | C3×C4 | — | 24 | 1 | no | — |
| 325 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 326 | C3×C4 | #908 | 1 | 1 | yes | characteristic |
| 327 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 328 | C3×C4 | #949 | 1 | 1 | yes | characteristic |
| 329 | Dic3 | — | 8 | 1 | no | — |
| 330 | Dic3 | — | 12 | 4 | no | — |
| 331 | Dic3 | — | 12 | 2 | no | — |
| 332 | Dic3 | — | 12 | 2 | no | — |
| 333 | C32 | #2190 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 334 | C23 | — | 12 | 1 | no | — |
| 335 | C23 | — | 36 | 1 | no | — |
| 336 | C23 | #3714 | 1 | 1 | yes | characteristic |
| 337 | Q8 | — | 18 | 2 | no | — |
| 338 | Q8 | — | 36 | 1 | no | — |
| 339 | D4 | — | 12 | 1 | no | — |
| 340 | D4 | — | 12 | 1 | no | — |
| 341 | D4 | — | 18 | 2 | no | — |
| 342 | D4 | — | 24 | 2 | no | — |
| 343 | D4 | — | 36 | 1 | no | — |
| 344 | D4 | — | 36 | 2 | no | — |
| 345 | D4 | — | 36 | 2 | no | — |
| 346 | C2×C4 | — | 2 | 1 | no | — |
| 347 | C2×C4 | — | 2 | 1 | no | — |
| 348 | C2×C4 | — | 12 | 1 | no | — |
| 349 | C2×C4 | — | 36 | 2 | no | — |
| 350 | C2×C4 | — | 36 | 1 | no | — |
| 351 | C2×C4 | — | 36 | 2 | no | — |
| 352 | C2×C4 | #3714 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | C2×#626 | 1 | 1 | yes | characteristic |
| 354 | C8 | — | 2 | 1 | no | — |
| 355 | C8 | #3811 | 1 | 2 | yes | — |
| 356 | C2×C3 | — | 2 | 1 | no | — |
| 357 | C2×C3 | — | 2 | 1 | no | — |
| 358 | C2×C3 | — | 2 | 1 | no | — |
| 359 | C2×C3 | — | 4 | 1 | no | — |
| 360 | C2×C3 | — | 4 | 2 | no | — |
| 361 | C2×C3 | — | 4 | 1 | no | — |
| 362 | C2×C3 | — | 4 | 1 | no | — |
| 363 | C2×C3 | — | 48 | 1 | no | — |
| 364 | C2×C3 | #4732 | 1 | 1 | yes | characteristic |
| 365 | C2×C3 | #5036 | 1 | 1 | yes | characteristic |
| 366 | D3 | — | 16 | 1 | no | — |
| 367 | D3 | — | 24 | 4 | no | — |
| 368 | D3 | — | 24 | 2 | no | — |
| 369 | D3 | — | 24 | 2 | no | — |
| 370 | C22 | — | 2 | 1 | no | — |
| 371 | C22 | — | 4 | 1 | no | — |
| 372 | C22 | — | 24 | 1 | no | — |
| 373 | C22 | — | 24 | 1 | no | — |
| 374 | C22 | — | 24 | 1 | no | — |
| 375 | C22 | — | 36 | 2 | no | — |
| 376 | C22 | — | 72 | 2 | no | — |
| 377 | C22 | C2×#3714 | 1 | 1 | yes | characteristic |
| 378 | C4 | — | 2 | 1 | no | — |
| 379 | C4 | — | 24 | 1 | no | — |
| 380 | C4 | — | 36 | 2 | no | — |
| 381 | C4 | #63825 | 1 | 1 | yes | characteristic |
| 382 | C4 | #63981 | 1 | 1 | yes | characteristic |
| 383 | C3 | — | 2 | 1 | no | — |
| 384 | C3 | #69120 | 1 | 1 | yes | characteristic, complemented |
| 385 | C3 | #71089 | 1 | 1 | yes | characteristic, complemented |
| 386 | C2 | — | 2 | 1 | no | — |
| 387 | C2 | — | 4 | 1 | no | — |
| 388 | C2 | — | 48 | 1 | no | — |
| 389 | C2 | — | 72 | 2 | no | — |
| 390 | C2 | #10591168 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596219 | C2 | semidirect |
| 2. C3×#5135 | C2 | semidirect |
| 3. #10590633 | C2 | semidirect |
| 4. C3×#4553 | C2 | semidirect |
| 5. #10589125 | C2 | semidirect |
| 15. C2×C3×D24 | C22 | semidirect |
| 17. C3×#817 | C22 | semidirect |
| 18. C3×#812 | C22 | semidirect |
| 26. #5135 | D3 | semidirect |
| 29. #4553 | D3 | semidirect |
| 47. #3746 | D4 | semidirect |
| 49. #3745 | D4 | semidirect |
| 78. C2×D24 | C2×D3 | semidirect |
| 85. #817 | C2×D3 | semidirect |
| 86. #812 | C2×D3 | semidirect |
| 333. C32 | #2190 | semidirect |
| 384. C3 | #69120 | semidirect |
| 385. C3 | #71089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596219 | 2 |
| C3×#5135 | 2 |
| #10590633 | 2 |
| C3×#4553 | 2 |
| #10589125 | 2 |
| #71089 | 3 |
| #69120 | 3 |