Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1689 conjugacy classes of subgroups; only the 212 normal subgroups are shown.
This group has 1689 conjugacy classes of subgroups — too many to draw. Only its 212 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 | C2×D8×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10595300 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#63926 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C2×#63797 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5151 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591482 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10590880 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C8×#624 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | D3×#493 | — | 3 | 2 | no | maximal |
| 10 | C2×D4×C3⋊D3 | C22 | 1 | 2 | yes | — |
| 11 | C2×#3811 | — | 2 | 4 | no | — |
| 12 | C2×#3802 | C22 | 1 | 2 | yes | — |
| 13 | C2×C32×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×#3753 | C22 | 1 | 2 | yes | complemented |
| 15 | D8×C3⋊D3 | — | 2 | 4 | no | — |
| 16 | C2×#3745 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#940 | C22 | 1 | 4 | yes | complemented |
| 19 | C2×C3×#213 | C22 | 1 | 4 | yes | complemented |
| 20 | C2×C3×D24 | C22 | 1 | 2 | yes | complemented |
| 21 | #63979 | — | 2 | 4 | no | — |
| 22 | #63926 | — | 2 | 8 | no | — |
| 23 | #63911 | C22 | 1 | 4 | yes | complemented |
| 24 | C4×#624 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#3714 | C22 | 1 | 4 | yes | complemented |
| 26 | C2×#3713 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×#3710 | C22 | 1 | 1 | yes | characteristic |
| 28 | #63797 | — | 2 | 4 | no | — |
| 29 | C3×C8×Dic3 | C22 | 1 | 2 | yes | complemented |
| 30 | Dic3×C3⋊C8 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×D3×D8 | — | 3 | 2 | no | — |
| 32 | C2×D3×D8 | — | 3 | 4 | no | — |
| 33 | C2×D3×D8 | — | 3 | 2 | no | — |
| 34 | C2×D3×D8 | — | 6 | 1 | no | — |
| 35 | D3×#127 | — | 3 | 4 | no | — |
| 36 | C3×#493 | — | 3 | 2 | no | — |
| 37 | #5151 | — | 3 | 4 | no | — |
| 38 | #5151 | — | 3 | 2 | no | — |
| 39 | #5151 | D3 | 1 | 2 | yes | complemented |
| 40 | #5073 | — | 3 | 4 | no | — |
| 41 | #4695 | — | 3 | 2 | no | — |
| 42 | C4×D3×C8 | — | 3 | 2 | no | — |
| 43 | C23×C3⋊D3 | — | 2 | 2 | no | — |
| 44 | C22×D32 | — | 2 | 2 | no | — |
| 45 | C2×C32×D4 | C23 | 1 | 2 | yes | — |
| 46 | C2×#638 | — | 2 | 2 | no | — |
| 47 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 48 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 49 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 50 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 51 | C2×C3×#67 | — | 2 | 8 | no | — |
| 52 | C2×C3×D12 | C23 | 1 | 4 | yes | — |
| 53 | #3811 | — | 4 | 16 | no | — |
| 54 | C2×#626 | — | 2 | 8 | no | — |
| 55 | C2×#625 | — | 2 | 2 | no | — |
| 56 | C2×#624 | D4 | 1 | 2 | yes | — |
| 57 | #3802 | — | 2 | 4 | no | — |
| 58 | #3802 | — | 2 | 4 | no | — |
| 59 | C32×D8 | — | 2 | 2 | no | — |
| 60 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 61 | #3753 | — | 2 | 4 | no | — |
| 62 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 63 | #3745 | — | 2 | 2 | no | — |
| 64 | C8×C3⋊D3 | D4 | 1 | 4 | yes | complemented |
| 65 | C3×#213 | — | 2 | 8 | no | — |
| 66 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 67 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 68 | C3×D24 | — | 2 | 4 | no | — |
| 69 | Dic32 | D4 | 1 | 2 | yes | — |
| 70 | #3714 | — | 2 | 8 | no | — |
| 71 | #3713 | — | 2 | 4 | no | — |
| 72 | #3710 | D4 | 1 | 4 | yes | complemented |
| 73 | C2×#493 | — | 9 | 1 | no | Sylow |
| 74 | C2×D3×D4 | — | 3 | 4 | no | — |
| 75 | C2×D3×D4 | — | 3 | 4 | no | — |
| 76 | C2×D3×D4 | — | 6 | 2 | no | — |
| 77 | C2×D3×D4 | — | 6 | 8 | no | — |
| 78 | C2×C3×D8 | — | 2 | 1 | no | — |
| 79 | C2×C3×D8 | — | 3 | 4 | no | — |
| 80 | C2×C3×D8 | — | 3 | 2 | no | — |
| 81 | C2×C3×D8 | C2×D3 | 1 | 2 | yes | complemented |
| 82 | C3×#127 | — | 3 | 4 | no | — |
| 83 | #940 | — | 3 | 4 | no | — |
| 84 | #940 | — | 6 | 8 | no | — |
| 85 | #940 | C2×D3 | 1 | 4 | yes | complemented |
| 86 | C2×#213 | — | 3 | 4 | no | — |
| 87 | C2×#213 | — | 3 | 4 | no | — |
| 88 | C2×#213 | — | 3 | 4 | no | — |
| 89 | C2×#213 | — | 6 | 2 | no | — |
| 90 | C2×#213 | C2×D3 | 1 | 4 | yes | complemented |
| 91 | D3×D8 | — | 6 | 8 | no | — |
| 92 | D3×D8 | — | 6 | 16 | no | — |
| 93 | D3×D8 | — | 6 | 8 | no | — |
| 94 | D3×D8 | — | 6 | 8 | no | — |
| 95 | C2×D24 | — | 3 | 4 | no | — |
| 96 | C2×D24 | — | 3 | 2 | no | — |
| 97 | C2×D24 | — | 6 | 1 | no | — |
| 98 | C2×D24 | C2×D3 | 1 | 2 | yes | complemented |
| 99 | C2×D3×C8 | — | 3 | 2 | no | — |
| 100 | C2×D3×C8 | — | 3 | 2 | no | — |
| 101 | C2×D3×C8 | — | 6 | 1 | no | — |
| 102 | #874 | — | 3 | 4 | no | — |
| 103 | C42×D3 | — | 3 | 2 | no | — |
| 104 | C3×C4×C8 | — | 3 | 2 | no | — |
| 105 | C8×Dic3 | — | 3 | 2 | no | — |
| 106 | C8×Dic3 | C2×D3 | 1 | 2 | yes | complemented |
| 107 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 108 | C23×C32 | — | 2 | 2 | no | — |
| 109 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 110 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 111 | C22×C3⋊D3 | — | 4 | 8 | no | — |
| 112 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C22×C3×D3 | — | 2 | 4 | no | — |
| 114 | C2×D32 | — | 4 | 4 | no | — |
| 115 | C2×D32 | — | 4 | 8 | no | — |
| 116 | C32×D4 | — | 2 | 2 | no | — |
| 117 | C32×D4 | — | 2 | 2 | no | — |
| 118 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 119 | #638 | — | 4 | 4 | no | — |
| 120 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 122 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 123 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 124 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 125 | C3×#67 | — | 4 | 16 | no | — |
| 126 | C2×C3×Dic3 | C2×D4 | 1 | 4 | yes | — |
| 127 | C3×D12 | — | 2 | 4 | no | — |
| 128 | C3×D12 | — | 2 | 4 | no | — |
| 129 | #626 | — | 4 | 16 | no | — |
| 130 | #625 | — | 4 | 4 | no | — |
| 131 | #624 | D8 | 1 | 8 | yes | complemented |
| 132 | C32×C8 | C2×D4 | 1 | 2 | yes | complemented |
| 133 | C3⋊(C3⋊C8) | C2×D4 | 1 | 2 | yes | complemented |
| 134 | C3×C3⋊C8 | C2×D4 | 1 | 4 | yes | complemented |
| 135 | C22×D8 | — | 9 | 2 | no | — |
| 136 | C22×D8 | — | 9 | 1 | no | — |
| 137 | C22×D8 | — | 9 | 1 | no | — |
| 138 | C2×#127 | — | 9 | 2 | no | — |
| 139 | #493 | — | 3 | 2 | no | — |
| 140 | #493 | — | 9 | 2 | no | — |
| 141 | #493 | — | 9 | 4 | no | — |
| 142 | C2×C4×C8 | — | 9 | 1 | no | — |
| 143 | C23×D3 | — | 6 | 4 | no | — |
| 144 | C23×D3 | — | 6 | 4 | no | — |
| 145 | C23×D3 | — | 12 | 2 | no | — |
| 146 | C2×C3×D4 | — | 2 | 2 | no | — |
| 147 | C2×C3×D4 | — | 3 | 4 | no | — |
| 148 | C2×C3×D4 | — | 6 | 8 | no | — |
| 149 | C2×C3×D4 | C22×D3 | 1 | 4 | yes | — |
| 150 | C2×#67 | — | 2 | 8 | no | — |
| 151 | C2×#67 | — | 6 | 4 | no | — |
| 152 | C2×#67 | — | 6 | 4 | no | — |
| 153 | C2×#67 | — | 6 | 8 | no | — |
| 154 | C2×#67 | — | 12 | 2 | no | — |
| 155 | D3×D4 | — | 6 | 8 | no | — |
| 156 | D3×D4 | — | 6 | 8 | no | — |
| 157 | D3×D4 | — | 6 | 8 | no | — |
| 158 | D3×D4 | — | 6 | 8 | no | — |
| 159 | D3×D4 | — | 6 | 8 | no | — |
| 160 | D3×D4 | — | 12 | 4 | no | — |
| 161 | D3×D4 | — | 12 | 32 | no | — |
| 162 | C2×D12 | — | 3 | 4 | no | — |
| 163 | C2×D12 | — | 6 | 2 | no | — |
| 164 | C2×D12 | — | 6 | 8 | no | — |
| 165 | C2×D12 | C22×D3 | 1 | 4 | yes | — |
| 166 | C2×C4×D3 | — | 3 | 2 | no | — |
| 167 | C2×C4×D3 | — | 3 | 4 | no | — |
| 168 | C2×C4×D3 | — | 6 | 1 | no | — |
| 169 | C3×D8 | — | 2 | 4 | no | — |
| 170 | C3×D8 | — | 2 | 4 | no | — |
| 171 | C3×D8 | — | 6 | 8 | no | — |
| 172 | C3×D8 | — | 6 | 4 | no | — |
| 173 | C2×C3×C8 | — | 2 | 1 | no | — |
| 174 | C2×C3×C8 | — | 3 | 2 | no | — |
| 175 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 176 | C3×C42 | — | 3 | 2 | no | — |
| 177 | #213 | — | 2 | 8 | no | — |
| 178 | #213 | — | 6 | 8 | no | — |
| 179 | #213 | — | 6 | 8 | no | — |
| 180 | #213 | — | 6 | 8 | no | — |
| 181 | #213 | — | 6 | 8 | no | — |
| 182 | C4×Dic3 | — | 3 | 4 | no | — |
| 183 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 184 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 185 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 186 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 187 | D24 | — | 2 | 4 | no | — |
| 188 | D24 | — | 6 | 4 | no | — |
| 189 | D24 | — | 6 | 8 | no | — |
| 190 | D24 | — | 6 | 4 | no | — |
| 191 | D3×C8 | — | 3 | 8 | no | — |
| 192 | D3×C8 | — | 3 | 8 | no | — |
| 193 | D3×C8 | — | 6 | 4 | no | — |
| 194 | C22×C32 | — | 4 | 2 | no | — |
| 195 | C22×C32 | — | 4 | 4 | no | — |
| 196 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 198 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 199 | C2×C3⋊D3 | — | 8 | 8 | no | — |
| 200 | C2×C3⋊D3 | #127 | 1 | 2 | yes | — |
| 201 | C2×C3⋊D3 | C2×D8 | 1 | 4 | yes | — |
| 202 | C2×C3×D3 | — | 4 | 4 | no | — |
| 203 | C2×C3×D3 | — | 4 | 8 | no | — |
| 204 | D32 | — | 8 | 8 | no | — |
| 205 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 206 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 207 | C3⋊Dic3 | #127 | 1 | 2 | yes | — |
| 208 | C3×Dic3 | C2×D8 | 1 | 8 | yes | complemented |
| 209 | C22×D4 | — | 9 | 2 | no | — |
| 210 | C22×D4 | — | 9 | 2 | no | — |
| 211 | C22×D4 | — | 18 | 4 | no | — |
| 212 | C2×D8 | — | 3 | 4 | no | — |
| 213 | C2×D8 | — | 3 | 2 | no | — |
| 214 | C2×D8 | — | 9 | 4 | no | — |
| 215 | C2×D8 | — | 9 | 2 | no | — |
| 216 | C2×D8 | — | 9 | 2 | no | — |
| 217 | C2×D8 | — | 9 | 1 | no | — |
| 218 | C2×D8 | — | 18 | 4 | no | — |
| 219 | C2×D8 | — | 18 | 8 | no | — |
| 220 | C2×D8 | — | 18 | 4 | no | — |
| 221 | C2×D8 | D32 | 1 | 1 | yes | characteristic, complemented |
| 222 | C22×C8 | — | 9 | 1 | no | — |
| 223 | C22×C8 | — | 9 | 1 | no | — |
| 224 | #127 | — | 3 | 4 | no | — |
| 225 | #127 | — | 9 | 4 | no | — |
| 226 | #127 | — | 18 | 4 | no | — |
| 227 | C2×C42 | — | 9 | 1 | no | — |
| 228 | C4×C8 | — | 3 | 2 | no | — |
| 229 | C4×C8 | — | 9 | 2 | no | — |
| 230 | C23×C3 | — | 2 | 4 | no | — |
| 231 | C23×C3 | — | 4 | 2 | no | — |
| 232 | C23×C3 | — | 6 | 4 | no | — |
| 233 | C22×D3 | — | 2 | 4 | no | — |
| 234 | C22×D3 | — | 3 | 2 | no | — |
| 235 | C22×D3 | — | 6 | 1 | no | — |
| 236 | C22×D3 | — | 6 | 4 | no | — |
| 237 | C22×D3 | — | 12 | 2 | no | — |
| 238 | C22×D3 | — | 12 | 8 | no | — |
| 239 | C22×D3 | — | 12 | 16 | no | — |
| 240 | C22×D3 | — | 12 | 8 | no | — |
| 241 | C22×D3 | — | 12 | 16 | no | — |
| 242 | C22×D3 | — | 12 | 8 | no | — |
| 243 | C22×D3 | — | 24 | 8 | no | — |
| 244 | C3×D4 | — | 2 | 4 | no | — |
| 245 | C3×D4 | — | 2 | 4 | no | — |
| 246 | C3×D4 | — | 2 | 4 | no | — |
| 247 | C3×D4 | — | 4 | 2 | no | — |
| 248 | C3×D4 | — | 6 | 4 | no | — |
| 249 | C3×D4 | — | 6 | 4 | no | — |
| 250 | C3×D4 | — | 12 | 16 | no | — |
| 251 | C2×C3×C4 | — | 2 | 1 | no | — |
| 252 | C2×C3×C4 | — | 3 | 4 | no | — |
| 253 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 254 | #67 | — | 4 | 16 | no | — |
| 255 | #67 | — | 12 | 8 | no | — |
| 256 | #67 | — | 12 | 8 | no | — |
| 257 | #67 | — | 12 | 8 | no | — |
| 258 | #67 | — | 12 | 16 | no | — |
| 259 | C2×Dic3 | — | 3 | 2 | no | — |
| 260 | C2×Dic3 | — | 6 | 1 | no | — |
| 261 | C2×Dic3 | D3×D4 | 1 | 4 | yes | — |
| 262 | D12 | — | 2 | 4 | no | — |
| 263 | D12 | — | 2 | 4 | no | — |
| 264 | D12 | — | 6 | 4 | no | — |
| 265 | D12 | — | 6 | 4 | no | — |
| 266 | D12 | — | 6 | 4 | no | — |
| 267 | D12 | — | 12 | 2 | no | — |
| 268 | D12 | — | 12 | 16 | no | — |
| 269 | C4×D3 | — | 3 | 4 | no | — |
| 270 | C4×D3 | — | 3 | 4 | no | — |
| 271 | C4×D3 | — | 3 | 16 | no | — |
| 272 | C4×D3 | — | 6 | 2 | no | — |
| 273 | C4×D3 | — | 6 | 2 | no | — |
| 274 | C3×C8 | — | 2 | 2 | no | — |
| 275 | C3×C8 | — | 3 | 4 | no | — |
| 276 | C3×C8 | D3×D4 | 1 | 4 | yes | complemented |
| 277 | C3⋊C8 | — | 3 | 4 | no | — |
| 278 | C3⋊C8 | — | 6 | 2 | no | — |
| 279 | C3⋊C8 | D3×D4 | 1 | 4 | yes | complemented |
| 280 | C2×C32 | — | 8 | 2 | no | — |
| 281 | C2×C32 | C2×#127 | 1 | 1 | yes | characteristic |
| 282 | C2×C32 | C22×D8 | 1 | 2 | yes | — |
| 283 | C3⋊D3 | — | 8 | 2 | no | — |
| 284 | C3⋊D3 | #493 | 1 | 4 | yes | complemented |
| 285 | C3×D3 | — | 8 | 4 | no | — |
| 286 | C24 | — | 18 | 2 | no | — |
| 287 | C24 | — | 18 | 2 | no | — |
| 288 | C2×D4 | — | 3 | 4 | no | — |
| 289 | C2×D4 | — | 6 | 8 | no | — |
| 290 | C2×D4 | — | 9 | 2 | no | — |
| 291 | C2×D4 | — | 18 | 8 | no | — |
| 292 | C2×D4 | — | 18 | 4 | no | — |
| 293 | C2×D4 | — | 18 | 4 | no | — |
| 294 | C2×D4 | — | 18 | 4 | no | — |
| 295 | C2×D4 | — | 18 | 4 | no | — |
| 296 | C2×D4 | — | 18 | 2 | no | — |
| 297 | C2×D4 | — | 18 | 2 | no | — |
| 298 | C2×D4 | — | 36 | 16 | no | — |
| 299 | C2×D4 | C2×D32 | 1 | 2 | yes | — |
| 300 | C22×C4 | — | 9 | 2 | no | — |
| 301 | C22×C4 | — | 9 | 1 | no | — |
| 302 | D8 | — | 2 | 2 | no | — |
| 303 | D8 | — | 6 | 8 | no | — |
| 304 | D8 | — | 6 | 4 | no | — |
| 305 | D8 | — | 18 | 8 | no | — |
| 306 | D8 | — | 18 | 4 | no | — |
| 307 | D8 | — | 18 | 4 | no | — |
| 308 | D8 | — | 18 | 2 | no | — |
| 309 | C2×C8 | — | 3 | 2 | no | — |
| 310 | C2×C8 | — | 9 | 4 | no | — |
| 311 | C2×C8 | — | 9 | 1 | no | — |
| 312 | C2×C8 | — | 9 | 4 | no | — |
| 313 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 314 | C42 | — | 3 | 2 | no | — |
| 315 | C42 | — | 9 | 2 | no | — |
| 316 | C22×C3 | — | 2 | 1 | no | — |
| 317 | C22×C3 | — | 4 | 4 | no | — |
| 318 | C22×C3 | — | 4 | 4 | no | — |
| 319 | C22×C3 | — | 4 | 8 | no | — |
| 320 | C22×C3 | — | 8 | 4 | no | — |
| 321 | C22×C3 | — | 12 | 4 | no | — |
| 322 | C22×C3 | — | 12 | 8 | no | — |
| 323 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 324 | C2×D3 | — | 3 | 4 | no | — |
| 325 | C2×D3 | — | 3 | 8 | no | — |
| 326 | C2×D3 | — | 4 | 4 | no | — |
| 327 | C2×D3 | — | 4 | 8 | no | — |
| 328 | C2×D3 | — | 6 | 2 | no | — |
| 329 | C2×D3 | — | 6 | 4 | no | — |
| 330 | C2×D3 | — | 12 | 4 | no | — |
| 331 | C2×D3 | — | 12 | 4 | no | — |
| 332 | C2×D3 | — | 12 | 8 | no | — |
| 333 | C2×D3 | — | 24 | 4 | no | — |
| 334 | C2×D3 | — | 24 | 16 | no | — |
| 335 | C2×D3 | — | 24 | 16 | no | — |
| 336 | C2×D3 | — | 24 | 16 | no | — |
| 337 | C3×C4 | — | 2 | 1 | no | — |
| 338 | C3×C4 | — | 2 | 1 | no | — |
| 339 | C3×C4 | — | 3 | 8 | no | — |
| 340 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 341 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 342 | Dic3 | — | 3 | 4 | no | — |
| 343 | Dic3 | — | 6 | 2 | no | — |
| 344 | Dic3 | D3×D8 | 1 | 8 | yes | complemented |
| 345 | C32 | C2×#493 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 346 | C23 | — | 2 | 2 | no | — |
| 347 | C23 | — | 6 | 4 | no | — |
| 348 | C23 | — | 9 | 1 | no | — |
| 349 | C23 | — | 18 | 2 | no | — |
| 350 | C23 | — | 36 | 4 | no | — |
| 351 | C23 | — | 36 | 8 | no | — |
| 352 | C23 | — | 36 | 4 | no | — |
| 353 | C23 | — | 36 | 8 | no | — |
| 354 | D4 | — | 2 | 2 | no | — |
| 355 | D4 | — | 2 | 2 | no | — |
| 356 | D4 | — | 6 | 4 | no | — |
| 357 | D4 | — | 6 | 4 | no | — |
| 358 | D4 | — | 12 | 16 | no | — |
| 359 | D4 | — | 18 | 2 | no | — |
| 360 | D4 | — | 18 | 2 | no | — |
| 361 | D4 | — | 36 | 16 | no | — |
| 362 | D4 | — | 36 | 4 | no | — |
| 363 | D4 | — | 36 | 4 | no | — |
| 364 | C2×C4 | — | 3 | 4 | no | — |
| 365 | C2×C4 | — | 9 | 8 | no | — |
| 366 | C2×C4 | — | 9 | 1 | no | — |
| 367 | C2×C4 | — | 9 | 2 | no | — |
| 368 | C2×C4 | — | 9 | 2 | no | — |
| 369 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 370 | C8 | — | 3 | 4 | no | — |
| 371 | C8 | — | 9 | 2 | no | — |
| 372 | C8 | #3811 | 1 | 2 | yes | complemented |
| 373 | C2×C3 | — | 2 | 2 | no | — |
| 374 | C2×C3 | — | 2 | 1 | no | — |
| 375 | C2×C3 | — | 8 | 4 | no | — |
| 376 | C2×C3 | — | 8 | 4 | no | — |
| 377 | C2×C3 | — | 24 | 4 | no | — |
| 378 | C2×C3 | D3×#127 | 1 | 2 | yes | — |
| 379 | C2×C3 | C2×D3×D8 | 1 | 4 | yes | — |
| 380 | D3 | — | 3 | 8 | no | — |
| 381 | D3 | — | 6 | 4 | no | — |
| 382 | D3 | — | 8 | 4 | no | — |
| 383 | D3 | — | 24 | 4 | no | — |
| 384 | D3 | — | 24 | 4 | no | — |
| 385 | C22 | — | 4 | 4 | no | — |
| 386 | C22 | — | 4 | 2 | no | — |
| 387 | C22 | — | 9 | 4 | no | — |
| 388 | C22 | — | 9 | 2 | no | — |
| 389 | C22 | — | 12 | 8 | no | — |
| 390 | C22 | — | 12 | 4 | no | — |
| 391 | C22 | — | 36 | 4 | no | — |
| 392 | C22 | — | 36 | 2 | no | — |
| 393 | C22 | — | 72 | 8 | no | — |
| 394 | C22 | — | 72 | 8 | no | — |
| 395 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 396 | C4 | — | 3 | 8 | no | — |
| 397 | C4 | — | 9 | 2 | no | — |
| 398 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 399 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 400 | C3 | — | 2 | 1 | no | — |
| 401 | C3 | D3×#493 | 1 | 2 | yes | complemented |
| 402 | C2 | — | 8 | 2 | no | — |
| 403 | C2 | — | 9 | 4 | no | — |
| 404 | C2 | — | 24 | 4 | no | — |
| 405 | C2 | — | 72 | 2 | no | — |
| 406 | C2 | D32×D8 | 1 | 2 | yes | — |
| 407 | C2 | #10595300 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D8×C3⋊D3 | C2 | semidirect |
| 2. #10595300 | C2 | semidirect |
| 3. C2×#63926 | C2 | semidirect |
| 4. C2×#63797 | C2 | semidirect |
| 5. C3×#5151 | C2 | semidirect |
| 6. #10591482 | C2 | semidirect |
| 7. #10590880 | C2 | semidirect |
| 8. C8×#624 | C2 | semidirect |
| 13. C2×C32×D8 | C22 | semidirect |
| 14. C2×#3753 | C22 | semidirect |
| 16. C2×#3745 | C22 | semidirect |
| 18. C3×#940 | C22 | semidirect |
| 19. C2×C3×#213 | C22 | semidirect |
| 20. C2×C3×D24 | C22 | semidirect |
| 23. #63911 | C22 | semidirect |
| 25. C2×#3714 | C22 | semidirect |
| 26. C2×#3713 | C22 | semidirect |
| 29. C3×C8×Dic3 | C22 | semidirect |
| 30. Dic3×C3⋊C8 | C22 | semidirect |
| 39. #5151 | D3 | semidirect |
| 64. C8×C3⋊D3 | D4 | semidirect |
| 72. #3710 | D4 | semidirect |
| 81. C2×C3×D8 | C2×D3 | semidirect |
| 85. #940 | C2×D3 | semidirect |
| 90. C2×#213 | C2×D3 | semidirect |
| 98. C2×D24 | C2×D3 | semidirect |
| 106. C8×Dic3 | C2×D3 | semidirect |
| 131. #624 | D8 | semidirect |
| 132. C32×C8 | C2×D4 | semidirect |
| 133. C3⋊(C3⋊C8) | C2×D4 | semidirect |
| 134. C3×C3⋊C8 | C2×D4 | semidirect |
| 208. C3×Dic3 | C2×D8 | semidirect |
| 221. C2×D8 | D32 | semidirect |
| 276. C3×C8 | D3×D4 | semidirect |
| 279. C3⋊C8 | D3×D4 | semidirect |
| 284. C3⋊D3 | #493 | semidirect |
| 344. Dic3 | D3×D8 | semidirect |
| 345. C32 | C2×#493 | semidirect |
| 372. C8 | #3811 | semidirect |
| 401. C3 | D3×#493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×C3⋊D3 | 2 |
| #10595300 | 2 |
| C2×#63926 | 2 |
| C2×#63797 | 2 |
| C3×#5151 | 2 |
| #10591482 | 2 |
| #10590880 | 2 |
| C8×#624 | 2 |
| D3×#493 | 3 |