Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
987 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 987 conjugacy classes of subgroups — too many to draw. Only its 168 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 | #10595144 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D8×C3⋊Dic3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5151 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10591486 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10591428 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10590886 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C8×#627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | Dic3×D24 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81778 | — | 3 | 2 | no | maximal |
| 10 | C2×#3805 | — | 2 | 2 | no | — |
| 11 | C2×C32×D8 | C22 | 1 | 1 | yes | characteristic |
| 12 | D4×C3⋊Dic3 | C22 | 1 | 2 | yes | — |
| 13 | C3×#940 | C22 | 1 | 4 | yes | — |
| 14 | C2×C3×#213 | C22 | 1 | 4 | yes | — |
| 15 | C2×C3×D24 | C22 | 1 | 2 | yes | — |
| 16 | #63980 | — | 2 | 2 | no | — |
| 17 | #63970 | — | 2 | 4 | no | — |
| 18 | C4×#627 | C22 | 1 | 1 | yes | characteristic |
| 19 | #63914 | C22 | 1 | 2 | yes | — |
| 20 | Dic3×D12 | C22 | 1 | 4 | yes | — |
| 21 | C2×#3713 | C22 | 1 | 2 | yes | — |
| 22 | #63659 | C22 | 1 | 2 | yes | — |
| 23 | #63645 | C22 | 1 | 1 | yes | characteristic |
| 24 | C8×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×C8×Dic3 | C22 | 1 | 2 | yes | — |
| 26 | #63572 | C22 | 1 | 1 | yes | characteristic |
| 27 | Dic3⋊(C3⋊C8) | C22 | 1 | 2 | yes | — |
| 28 | #63563 | C22 | 1 | 4 | yes | — |
| 29 | #5718 | — | 3 | 4 | no | — |
| 30 | C3×#493 | — | 3 | 2 | no | — |
| 31 | #5151 | — | 3 | 2 | no | — |
| 32 | #5151 | D3 | 1 | 2 | yes | complemented |
| 33 | #5150 | — | 3 | 4 | no | — |
| 34 | #5150 | — | 3 | 4 | no | — |
| 35 | Dic3×D8 | — | 3 | 2 | no | — |
| 36 | Dic3×D8 | — | 3 | 2 | no | — |
| 37 | Dic3×D8 | — | 6 | 1 | no | — |
| 38 | #5072 | — | 3 | 4 | no | — |
| 39 | C4×D24 | — | 3 | 2 | no | — |
| 40 | C8×Dic6 | — | 3 | 2 | no | — |
| 41 | C2×C32×D4 | C23 | 1 | 2 | yes | — |
| 42 | C22×C3⋊Dic3 | — | 2 | 2 | no | — |
| 43 | C2×C3×#67 | — | 2 | 4 | no | — |
| 44 | C2×C3×#67 | — | 2 | 4 | no | — |
| 45 | C2×C3×D12 | C23 | 1 | 4 | yes | — |
| 46 | C2×#627 | D4 | 1 | 1 | yes | characteristic |
| 47 | C2×#625 | — | 2 | 2 | no | — |
| 48 | C2×#625 | — | 2 | 2 | no | — |
| 49 | #3805 | — | 4 | 8 | no | — |
| 50 | C2×D3×Dic3 | — | 2 | 4 | no | — |
| 51 | C32×D8 | — | 2 | 2 | no | — |
| 52 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 53 | #3757 | — | 2 | 2 | no | — |
| 54 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 55 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 57 | C3×#213 | — | 4 | 4 | no | — |
| 58 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 59 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 60 | C3×D24 | — | 2 | 4 | no | — |
| 61 | #3724 | D4 | 1 | 1 | yes | characteristic |
| 62 | Dic3⋊Dic3 | D4 | 1 | 2 | yes | — |
| 63 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 64 | #3713 | — | 4 | 2 | no | — |
| 65 | #3391 | — | 9 | 1 | no | Sylow |
| 66 | C2×#237 | — | 6 | 4 | no | — |
| 67 | C2×C3×D8 | — | 2 | 1 | no | — |
| 68 | C2×C3×D8 | — | 3 | 4 | no | — |
| 69 | C2×C3×D8 | — | 3 | 2 | no | — |
| 70 | C2×C3×D8 | C2×D3 | 1 | 2 | yes | — |
| 71 | C3×#127 | — | 3 | 4 | no | — |
| 72 | #940 | — | 3 | 4 | no | — |
| 73 | #940 | C2×D3 | 1 | 4 | yes | — |
| 74 | #939 | — | 6 | 4 | no | — |
| 75 | #939 | — | 6 | 4 | no | — |
| 76 | #938 | — | 6 | 4 | no | — |
| 77 | D4×Dic3 | — | 3 | 4 | no | — |
| 78 | D4×Dic3 | — | 3 | 4 | no | — |
| 79 | D4×Dic3 | — | 6 | 2 | no | — |
| 80 | C2×#213 | — | 3 | 4 | no | — |
| 81 | C2×#213 | C2×D3 | 1 | 4 | yes | — |
| 82 | C2×D24 | C2×D3 | 1 | 2 | yes | — |
| 83 | C4×D12 | — | 3 | 4 | no | — |
| 84 | C4×Dic6 | — | 3 | 2 | no | — |
| 85 | C3×C4×C8 | — | 3 | 2 | no | — |
| 86 | #832 | — | 3 | 4 | no | — |
| 87 | #832 | — | 3 | 4 | no | — |
| 88 | #832 | — | 6 | 2 | no | — |
| 89 | #821 | — | 3 | 4 | no | — |
| 90 | #818 | — | 3 | 2 | no | — |
| 91 | #818 | — | 6 | 1 | no | — |
| 92 | Dic3⋊C8 | — | 3 | 2 | no | — |
| 93 | Dic3⋊C8 | — | 3 | 2 | no | — |
| 94 | C8×Dic3 | — | 3 | 2 | no | — |
| 95 | C8×Dic3 | — | 6 | 1 | no | — |
| 96 | C8×Dic3 | C2×D3 | 1 | 2 | yes | — |
| 97 | C4⋊(C3⋊C8) | — | 3 | 2 | no | — |
| 98 | C23×C32 | — | 2 | 2 | no | — |
| 99 | C22×C3×D3 | — | 2 | 4 | no | — |
| 100 | C32×D4 | — | 2 | 2 | no | — |
| 101 | C32×D4 | — | 2 | 2 | no | — |
| 102 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 103 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 104 | C2×C3⋊Dic3 | — | 4 | 4 | no | — |
| 105 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C3×#67 | — | 4 | 8 | no | — |
| 108 | C3×#67 | — | 8 | 4 | no | — |
| 109 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 110 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 111 | C3×D12 | — | 2 | 4 | no | — |
| 112 | C3×D12 | — | 2 | 4 | no | — |
| 113 | #627 | D8 | 1 | 4 | yes | complemented |
| 114 | #625 | — | 4 | 4 | no | — |
| 115 | #625 | — | 8 | 2 | no | — |
| 116 | D3×Dic3 | — | 4 | 8 | no | — |
| 117 | C32×C8 | #41 | 1 | 2 | yes | complemented |
| 118 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 119 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 120 | #550 | — | 9 | 2 | no | — |
| 121 | #493 | — | 3 | 2 | no | — |
| 122 | #493 | — | 9 | 1 | no | — |
| 123 | #459 | — | 9 | 4 | no | — |
| 124 | #459 | — | 9 | 2 | no | — |
| 125 | C8×Q8 | — | 9 | 1 | no | — |
| 126 | C4×D8 | — | 9 | 2 | no | — |
| 127 | C4×D8 | — | 9 | 1 | no | — |
| 128 | C2×C3×D4 | — | 2 | 2 | no | — |
| 129 | C2×C3×D4 | — | 3 | 4 | no | — |
| 130 | C2×C3×D4 | — | 6 | 4 | no | — |
| 131 | C2×C3×D4 | — | 6 | 4 | no | — |
| 132 | C2×C3×D4 | C22×D3 | 1 | 4 | yes | — |
| 133 | C2×#67 | — | 2 | 4 | no | — |
| 134 | C2×#67 | — | 2 | 4 | no | — |
| 135 | C2×#67 | — | 6 | 4 | no | — |
| 136 | C2×#67 | — | 6 | 4 | no | — |
| 137 | C22×Dic3 | — | 6 | 4 | no | — |
| 138 | C22×Dic3 | — | 6 | 4 | no | — |
| 139 | C22×Dic3 | — | 12 | 2 | no | — |
| 140 | #237 | — | 12 | 16 | no | — |
| 141 | C2×D12 | C22×D3 | 1 | 4 | yes | — |
| 142 | C2×C4×D3 | — | 6 | 4 | no | — |
| 143 | C2×Dic6 | — | 3 | 2 | no | — |
| 144 | C3×D8 | — | 2 | 4 | no | — |
| 145 | C3×D8 | — | 2 | 4 | no | — |
| 146 | C3×D8 | — | 6 | 4 | no | — |
| 147 | C3×D8 | — | 12 | 4 | no | — |
| 148 | C2×C3×C8 | — | 2 | 1 | no | — |
| 149 | C2×C3×C8 | — | 3 | 2 | no | — |
| 150 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 151 | C3×C42 | — | 3 | 2 | no | — |
| 152 | #217 | — | 6 | 4 | no | — |
| 153 | #217 | — | 6 | 4 | no | — |
| 154 | #217 | — | 12 | 2 | no | — |
| 155 | #213 | — | 4 | 4 | no | — |
| 156 | #213 | — | 12 | 4 | no | — |
| 157 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 158 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 159 | C4⋊Dic3 | — | 3 | 4 | no | — |
| 160 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 161 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 162 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 163 | C4×Dic3 | — | 3 | 2 | no | — |
| 164 | C4×Dic3 | — | 6 | 1 | no | — |
| 165 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 166 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 167 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 168 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 169 | D24 | — | 2 | 4 | no | — |
| 170 | C22×C32 | — | 4 | 2 | no | — |
| 171 | C22×C32 | — | 4 | 2 | no | — |
| 172 | C22×C32 | — | 4 | 2 | no | — |
| 173 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C3×D3 | — | 4 | 4 | no | — |
| 175 | C2×C3×D3 | — | 4 | 4 | no | — |
| 176 | C2×C3×D3 | — | 4 | 4 | no | — |
| 177 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 178 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 179 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 180 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 181 | C3⋊Dic3 | C2×D8 | 1 | 2 | yes | — |
| 182 | C3×Dic3 | — | 2 | 2 | no | — |
| 183 | C3×Dic3 | C2×D8 | 1 | 4 | yes | — |
| 184 | C2×#41 | — | 18 | 2 | no | — |
| 185 | C2×D8 | — | 3 | 4 | no | — |
| 186 | C2×D8 | — | 3 | 2 | no | — |
| 187 | C2×D8 | — | 9 | 2 | no | — |
| 188 | C2×D8 | D32 | 1 | 1 | yes | characteristic |
| 189 | #127 | — | 3 | 4 | no | — |
| 190 | #127 | — | 9 | 2 | no | — |
| 191 | #121 | — | 18 | 4 | no | — |
| 192 | #121 | — | 18 | 2 | no | — |
| 193 | C4×Q8 | — | 9 | 1 | no | — |
| 194 | C4×D4 | — | 9 | 4 | no | — |
| 195 | C4×D4 | — | 9 | 2 | no | — |
| 196 | #107 | — | 9 | 1 | no | — |
| 197 | C4⋊C8 | — | 9 | 2 | no | — |
| 198 | C4⋊C8 | — | 9 | 1 | no | — |
| 199 | #102 | — | 9 | 4 | no | — |
| 200 | #102 | — | 9 | 2 | no | — |
| 201 | C4×C8 | — | 3 | 2 | no | — |
| 202 | C4×C8 | — | 9 | 1 | no | — |
| 203 | C23×C3 | — | 2 | 4 | no | — |
| 204 | C23×C3 | — | 4 | 2 | no | — |
| 205 | C23×C3 | — | 6 | 4 | no | — |
| 206 | C22×D3 | — | 2 | 4 | no | — |
| 207 | C3×D4 | — | 2 | 4 | no | — |
| 208 | C3×D4 | — | 2 | 4 | no | — |
| 209 | C3×D4 | — | 2 | 4 | no | — |
| 210 | C3×D4 | — | 4 | 2 | no | — |
| 211 | C3×D4 | — | 6 | 4 | no | — |
| 212 | C3×D4 | — | 6 | 4 | no | — |
| 213 | C3×D4 | — | 12 | 8 | no | — |
| 214 | C3×D4 | — | 24 | 4 | no | — |
| 215 | C2×C3×C4 | — | 2 | 1 | no | — |
| 216 | C2×C3×C4 | — | 3 | 2 | no | — |
| 217 | C2×C3×C4 | — | 3 | 2 | no | — |
| 218 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 219 | #67 | — | 4 | 8 | no | — |
| 220 | #67 | — | 8 | 4 | no | — |
| 221 | #67 | — | 12 | 8 | no | — |
| 222 | #67 | — | 24 | 4 | no | — |
| 223 | C2×Dic3 | — | 3 | 2 | no | — |
| 224 | C2×Dic3 | — | 3 | 2 | no | — |
| 225 | C2×Dic3 | — | 6 | 1 | no | — |
| 226 | C2×Dic3 | — | 6 | 1 | no | — |
| 227 | C2×Dic3 | — | 6 | 4 | no | — |
| 228 | C2×Dic3 | — | 12 | 2 | no | — |
| 229 | C2×Dic3 | — | 12 | 8 | no | — |
| 230 | C2×Dic3 | — | 12 | 8 | no | — |
| 231 | C2×Dic3 | — | 24 | 4 | no | — |
| 232 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 233 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 234 | D12 | — | 2 | 4 | no | — |
| 235 | D12 | — | 2 | 4 | no | — |
| 236 | C4×D3 | — | 12 | 8 | no | — |
| 237 | Dic6 | — | 3 | 8 | no | — |
| 238 | C3×C8 | — | 2 | 2 | no | — |
| 239 | C3×C8 | — | 6 | 2 | no | — |
| 240 | C3×C8 | #237 | 1 | 4 | yes | complemented |
| 241 | C3⋊C8 | — | 2 | 2 | no | — |
| 242 | C3⋊C8 | — | 6 | 2 | no | — |
| 243 | C3⋊C8 | — | 12 | 1 | no | — |
| 244 | C2×C32 | — | 8 | 2 | no | — |
| 245 | C2×C32 | #550 | 1 | 1 | yes | characteristic |
| 246 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 247 | C2×C32 | #576 | 1 | 1 | yes | characteristic |
| 248 | C3×D3 | — | 8 | 4 | no | — |
| 249 | #41 | — | 36 | 8 | no | — |
| 250 | C2×Q8 | — | 9 | 1 | no | — |
| 251 | C2×D4 | — | 3 | 4 | no | — |
| 252 | C2×D4 | — | 6 | 4 | no | — |
| 253 | C2×D4 | — | 6 | 4 | no | — |
| 254 | C2×D4 | — | 18 | 2 | no | — |
| 255 | C2×D4 | — | 18 | 2 | no | — |
| 256 | C2×D4 | C2×D32 | 1 | 2 | yes | — |
| 257 | C22×C4 | — | 18 | 4 | no | — |
| 258 | C22×C4 | — | 18 | 2 | no | — |
| 259 | D8 | — | 2 | 2 | no | — |
| 260 | D8 | — | 6 | 4 | no | — |
| 261 | D8 | — | 12 | 4 | no | — |
| 262 | D8 | — | 36 | 2 | no | — |
| 263 | C2×C8 | — | 3 | 2 | no | — |
| 264 | C2×C8 | — | 9 | 1 | no | — |
| 265 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 266 | C4⋊C4 | — | 9 | 1 | no | — |
| 267 | C4⋊C4 | — | 9 | 2 | no | — |
| 268 | C4⋊C4 | — | 9 | 2 | no | — |
| 269 | C22⋊C4 | — | 18 | 4 | no | — |
| 270 | C22⋊C4 | — | 18 | 2 | no | — |
| 271 | C42 | — | 3 | 2 | no | — |
| 272 | C42 | — | 9 | 1 | no | — |
| 273 | C22×C3 | — | 2 | 1 | no | — |
| 274 | C22×C3 | — | 4 | 4 | no | — |
| 275 | C22×C3 | — | 4 | 4 | no | — |
| 276 | C22×C3 | — | 4 | 4 | no | — |
| 277 | C22×C3 | — | 4 | 4 | no | — |
| 278 | C22×C3 | — | 8 | 2 | no | — |
| 279 | C22×C3 | — | 8 | 2 | no | — |
| 280 | C22×C3 | — | 12 | 4 | no | — |
| 281 | C22×C3 | — | 12 | 4 | no | — |
| 282 | C22×C3 | — | 12 | 4 | no | — |
| 283 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 284 | C2×D3 | — | 4 | 4 | no | — |
| 285 | C2×D3 | — | 4 | 4 | no | — |
| 286 | C2×D3 | — | 4 | 4 | no | — |
| 287 | C3×C4 | — | 2 | 1 | no | — |
| 288 | C3×C4 | — | 2 | 1 | no | — |
| 289 | C3×C4 | — | 3 | 4 | no | — |
| 290 | C3×C4 | — | 6 | 2 | no | — |
| 291 | C3×C4 | C2×#237 | 1 | 2 | yes | — |
| 292 | C3×C4 | #1004 | 1 | 2 | yes | — |
| 293 | Dic3 | — | 2 | 2 | no | — |
| 294 | Dic3 | — | 3 | 4 | no | — |
| 295 | Dic3 | — | 6 | 2 | no | — |
| 296 | Dic3 | — | 6 | 2 | no | — |
| 297 | Dic3 | — | 12 | 1 | no | — |
| 298 | Dic3 | — | 12 | 4 | no | — |
| 299 | Dic3 | — | 24 | 2 | no | — |
| 300 | Dic3 | D3×D8 | 1 | 4 | yes | — |
| 301 | C32 | #3391 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 302 | C23 | — | 2 | 2 | no | — |
| 303 | C23 | — | 6 | 4 | no | — |
| 304 | Q8 | — | 9 | 4 | no | — |
| 305 | D4 | — | 2 | 2 | no | — |
| 306 | D4 | — | 2 | 2 | no | — |
| 307 | D4 | — | 6 | 4 | no | — |
| 308 | D4 | — | 6 | 4 | no | — |
| 309 | D4 | — | 12 | 8 | no | — |
| 310 | D4 | — | 24 | 4 | no | — |
| 311 | D4 | — | 36 | 4 | no | — |
| 312 | D4 | — | 72 | 2 | no | — |
| 313 | C2×C4 | — | 3 | 2 | no | — |
| 314 | C2×C4 | — | 3 | 2 | no | — |
| 315 | C2×C4 | — | 9 | 1 | no | — |
| 316 | C2×C4 | — | 9 | 1 | no | — |
| 317 | C2×C4 | — | 18 | 2 | no | — |
| 318 | C2×C4 | — | 36 | 8 | no | — |
| 319 | C2×C4 | — | 36 | 4 | no | — |
| 320 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 321 | C8 | — | 6 | 2 | no | — |
| 322 | C8 | — | 18 | 1 | no | — |
| 323 | C8 | #3805 | 1 | 2 | yes | complemented |
| 324 | C2×C3 | — | 2 | 1 | no | — |
| 325 | C2×C3 | — | 2 | 1 | no | — |
| 326 | C2×C3 | — | 2 | 1 | no | — |
| 327 | C2×C3 | — | 8 | 4 | no | — |
| 328 | C2×C3 | — | 8 | 4 | no | — |
| 329 | C2×C3 | — | 24 | 4 | no | — |
| 330 | C2×C3 | #5718 | 1 | 2 | yes | — |
| 331 | C2×C3 | C2×D3×D8 | 1 | 2 | yes | — |
| 332 | C2×C3 | #5757 | 1 | 2 | yes | — |
| 333 | D3 | — | 8 | 4 | no | — |
| 334 | C22 | — | 4 | 2 | no | — |
| 335 | C22 | — | 4 | 2 | no | — |
| 336 | C22 | — | 4 | 2 | no | — |
| 337 | C22 | — | 12 | 4 | no | — |
| 338 | C22 | — | 12 | 4 | no | — |
| 339 | C22 | — | 12 | 4 | no | — |
| 340 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 341 | C4 | — | 3 | 4 | no | — |
| 342 | C4 | — | 6 | 2 | no | — |
| 343 | C4 | — | 9 | 2 | no | — |
| 344 | C4 | — | 18 | 1 | no | — |
| 345 | C4 | — | 36 | 2 | no | — |
| 346 | C4 | #64313 | 1 | 1 | yes | characteristic |
| 347 | C4 | C2×#3805 | 1 | 1 | yes | characteristic |
| 348 | C3 | — | 2 | 1 | no | — |
| 349 | C3 | #81778 | 1 | 2 | yes | complemented |
| 350 | C2 | — | 8 | 2 | no | — |
| 351 | C2 | — | 24 | 4 | no | — |
| 352 | C2 | D32×D8 | 1 | 1 | yes | characteristic |
| 353 | C2 | #10594731 | 1 | 1 | yes | characteristic |
| 354 | C2 | #10595144 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10595144 | C2 | semidirect |
| 2. D8×C3⋊Dic3 | C2 | semidirect |
| 3. C3×#5151 | C2 | semidirect |
| 4. #10591486 | C2 | semidirect |
| 5. #10591428 | C2 | semidirect |
| 6. #10590886 | C2 | semidirect |
| 7. C8×#627 | C2 | semidirect |
| 8. Dic3×D24 | C2 | semidirect |
| 32. #5151 | D3 | semidirect |
| 113. #627 | D8 | semidirect |
| 117. C32×C8 | #41 | semidirect |
| 240. C3×C8 | #237 | semidirect |
| 301. C32 | #3391 | semidirect |
| 323. C8 | #3805 | semidirect |
| 349. C3 | #81778 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10595144 | 2 |
| D8×C3⋊Dic3 | 2 |
| C3×#5151 | 2 |
| #10591486 | 2 |
| #10591428 | 2 |
| #10590886 | 2 |
| C8×#627 | 2 |
| Dic3×D24 | 2 |
| #81778 | 3 |