Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
659 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 659 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
| 2 | C3×#5119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10591232 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10591105 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C3×#4557 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70547 | — | 3 | 1 | no | maximal |
| 7 | #68698 | — | 3 | 1 | no | maximal |
| 8 | C2×#3828 | C22 | 1 | 2 | yes | — |
| 9 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 10 | #64118 | — | 2 | 2 | no | — |
| 11 | #64117 | — | 2 | 2 | no | — |
| 12 | #64113 | — | 2 | 2 | no | — |
| 13 | C3×#926 | C22 | 1 | 2 | yes | — |
| 14 | C3×#926 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×C3×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×Dic3⋊C8 | — | 2 | 2 | no | — |
| 17 | #63581 | — | 2 | 4 | no | — |
| 18 | #63567 | — | 2 | 2 | no | — |
| 19 | #63564 | — | 2 | 2 | no | — |
| 20 | #5748 | — | 3 | 1 | no | — |
| 21 | #5748 | — | 3 | 1 | no | — |
| 22 | #5748 | — | 6 | 1 | no | — |
| 23 | C3×#424 | — | 3 | 1 | no | — |
| 24 | #5119 | D3 | 1 | 1 | yes | characteristic, complemented |
| 25 | #5113 | — | 3 | 2 | no | — |
| 26 | #5006 | — | 3 | 2 | no | — |
| 27 | #5006 | — | 3 | 2 | no | — |
| 28 | #5002 | — | 3 | 2 | no | — |
| 29 | C3×H(3,ℤ/4) | — | 3 | 1 | no | — |
| 30 | #4557 | D3 | 1 | 1 | yes | characteristic, complemented |
| 31 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 32 | C2×#638 | — | 2 | 2 | no | — |
| 33 | #3828 | — | 2 | 2 | no | — |
| 34 | #3828 | — | 2 | 2 | no | — |
| 35 | #3828 | — | 2 | 2 | no | — |
| 36 | #3828 | — | 2 | 2 | no | — |
| 37 | C2×C4⋊(C3⋊D3) | D4 | 1 | 2 | yes | — |
| 38 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 39 | C2×#634 | D4 | 1 | 2 | yes | — |
| 40 | C32×M16 | — | 2 | 2 | no | — |
| 41 | C2×C32×C8 | D4 | 1 | 2 | yes | — |
| 42 | #3746 | — | 2 | 2 | no | — |
| 43 | #3745 | — | 2 | 2 | no | — |
| 44 | #3744 | — | 2 | 4 | no | — |
| 45 | C3×#217 | — | 2 | 2 | no | — |
| 46 | C3×#217 | D4 | 1 | 2 | yes | — |
| 47 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 48 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 49 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 50 | C3×C4×Dic3 | — | 2 | 2 | no | — |
| 51 | C2×C3×C3⋊C8 | — | 2 | 2 | no | — |
| 52 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 53 | #2053 | — | 9 | 1 | no | Sylow |
| 54 | C2×#235 | — | 3 | 2 | no | — |
| 55 | C2×#235 | — | 3 | 2 | no | — |
| 56 | C2×#235 | — | 6 | 2 | no | — |
| 57 | C2×C3×M16 | — | 2 | 1 | no | — |
| 58 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 59 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | C22×C3×C8 | — | 3 | 1 | no | — |
| 61 | C3×#117 | — | 3 | 1 | no | — |
| 62 | C3×#117 | — | 3 | 2 | no | — |
| 63 | #926 | C2×D3 | 1 | 2 | yes | — |
| 64 | #926 | C2×D3 | 1 | 1 | yes | characteristic |
| 65 | C22×C3⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 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 | — | 6 | 4 | no | — |
| 73 | #904 | — | 6 | 2 | no | — |
| 74 | #904 | — | 6 | 2 | no | — |
| 75 | C3×C4⋊C8 | — | 6 | 2 | no | — |
| 76 | #821 | — | 6 | 2 | no | — |
| 77 | #816 | — | 6 | 2 | no | — |
| 78 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 79 | #810 | — | 6 | 2 | no | — |
| 80 | #809 | — | 6 | 2 | no | — |
| 81 | #806 | — | 6 | 4 | no | — |
| 82 | #806 | — | 6 | 4 | no | — |
| 83 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 85 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 87 | C2×C32×C4 | #41 | 1 | 1 | yes | characteristic |
| 88 | C2×C32×C4 | #41 | 1 | 2 | yes | — |
| 89 | #638 | — | 4 | 2 | no | — |
| 90 | #638 | — | 4 | 2 | no | — |
| 91 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 92 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 93 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 94 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 95 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 96 | #634 | — | 2 | 2 | no | — |
| 97 | #634 | — | 2 | 2 | no | — |
| 98 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 99 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 100 | C32×C8 | — | 2 | 2 | no | — |
| 101 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 102 | #575 | — | 9 | 1 | no | — |
| 103 | #424 | — | 3 | 1 | no | — |
| 104 | #416 | — | 9 | 2 | no | — |
| 105 | #410 | — | 9 | 2 | no | — |
| 106 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 107 | C22×C3×C4 | — | 2 | 1 | no | — |
| 108 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 109 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 110 | C2×#67 | — | 6 | 2 | no | — |
| 111 | C2×#67 | — | 6 | 2 | no | — |
| 112 | C2×#67 | — | 12 | 2 | no | — |
| 113 | #235 | — | 6 | 4 | no | — |
| 114 | #235 | — | 6 | 4 | no | — |
| 115 | #235 | — | 6 | 2 | no | — |
| 116 | #235 | — | 6 | 2 | no | — |
| 117 | #235 | — | 6 | 2 | no | — |
| 118 | #235 | — | 6 | 2 | no | — |
| 119 | #235 | — | 6 | 2 | no | — |
| 120 | #235 | — | 6 | 2 | no | — |
| 121 | #235 | — | 6 | 2 | no | — |
| 122 | #235 | — | 6 | 2 | no | — |
| 123 | #235 | — | 12 | 2 | no | — |
| 124 | #235 | — | 12 | 2 | no | — |
| 125 | C2×D12 | — | 3 | 2 | no | — |
| 126 | C2×D12 | — | 3 | 2 | no | — |
| 127 | C2×D12 | — | 6 | 2 | no | — |
| 128 | C2×C4×D3 | — | 6 | 2 | no | — |
| 129 | C2×C4×D3 | — | 6 | 2 | no | — |
| 130 | C2×C4×D3 | — | 12 | 2 | no | — |
| 131 | C2×Dic6 | — | 3 | 2 | no | — |
| 132 | C2×Dic6 | — | 3 | 2 | no | — |
| 133 | C2×Dic6 | — | 6 | 2 | no | — |
| 134 | C3×M16 | — | 2 | 4 | no | — |
| 135 | C3×M16 | — | 2 | 2 | no | — |
| 136 | C3×M16 | — | 2 | 2 | no | — |
| 137 | C2×C3×C8 | — | 2 | 2 | no | — |
| 138 | C2×C3×C8 | — | 6 | 1 | no | — |
| 139 | C2×C3×C8 | — | 6 | 2 | no | — |
| 140 | C2×C3×C8 | D12 | 1 | 2 | yes | — |
| 141 | C2×C3×C8 | #67 | 1 | 2 | yes | — |
| 142 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 143 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 144 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 145 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 146 | C3×C42 | — | 6 | 1 | no | — |
| 147 | C3×C42 | — | 6 | 2 | no | — |
| 148 | #217 | — | 2 | 2 | no | — |
| 149 | #217 | D12 | 1 | 2 | yes | — |
| 150 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 151 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 152 | C4×Dic3 | — | 2 | 1 | no | — |
| 153 | C4×Dic3 | — | 2 | 2 | no | — |
| 154 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 155 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 156 | Dic12 | — | 6 | 4 | no | — |
| 157 | Dic12 | — | 6 | 2 | no | — |
| 158 | Dic12 | — | 6 | 2 | no | — |
| 159 | D24 | — | 6 | 4 | no | — |
| 160 | D24 | — | 6 | 2 | no | — |
| 161 | D24 | — | 6 | 2 | no | — |
| 162 | #204 | — | 6 | 8 | no | — |
| 163 | #204 | — | 6 | 4 | no | — |
| 164 | #204 | — | 6 | 4 | no | — |
| 165 | C22×C32 | — | 4 | 1 | no | — |
| 166 | C22×C32 | #121 | 1 | 2 | yes | — |
| 167 | C22×C32 | #121 | 1 | 1 | yes | characteristic |
| 168 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 169 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 170 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 171 | C32×C4 | #123 | 1 | 2 | yes | — |
| 172 | C32×C4 | #124 | 1 | 1 | yes | characteristic |
| 173 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 174 | C3×Dic3 | — | 4 | 2 | no | — |
| 175 | C3×Dic3 | — | 8 | 2 | no | — |
| 176 | C2×#41 | — | 9 | 2 | no | — |
| 177 | #137 | — | 18 | 2 | no | — |
| 178 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 179 | #135 | — | 18 | 2 | no | — |
| 180 | C2×M16 | D32 | 1 | 1 | yes | characteristic |
| 181 | C22×C8 | — | 3 | 1 | no | — |
| 182 | #117 | — | 3 | 1 | no | — |
| 183 | #117 | — | 3 | 2 | no | — |
| 184 | C4⋊C8 | — | 6 | 2 | no | — |
| 185 | #103 | — | 18 | 2 | no | — |
| 186 | #102 | — | 18 | 2 | no | — |
| 187 | #99 | — | 18 | 4 | no | — |
| 188 | C23×C3 | — | 2 | 1 | no | — |
| 189 | C23×C3 | C2×D12 | 1 | 1 | yes | characteristic |
| 190 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 191 | C22×D3 | — | 6 | 2 | no | — |
| 192 | C22×D3 | — | 6 | 2 | no | — |
| 193 | C22×D3 | — | 12 | 2 | no | — |
| 194 | C2×C3×C4 | — | 2 | 2 | no | — |
| 195 | C2×C3×C4 | — | 2 | 1 | no | — |
| 196 | C2×C3×C4 | — | 2 | 1 | no | — |
| 197 | C2×C3×C4 | — | 2 | 2 | no | — |
| 198 | C2×C3×C4 | — | 6 | 2 | no | — |
| 199 | C2×C3×C4 | — | 12 | 2 | no | — |
| 200 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 201 | C2×C3×C4 | #235 | 1 | 2 | yes | — |
| 202 | C2×C3×C4 | #235 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 204 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 205 | C2×C3×C4 | #239 | 1 | 1 | yes | characteristic |
| 206 | C2×C3×C4 | #239 | 1 | 2 | yes | — |
| 207 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 208 | #67 | — | 12 | 4 | no | — |
| 209 | #67 | — | 12 | 4 | no | — |
| 210 | #67 | — | 12 | 2 | no | — |
| 211 | #67 | — | 12 | 2 | no | — |
| 212 | #67 | — | 12 | 2 | no | — |
| 213 | #67 | — | 12 | 2 | no | — |
| 214 | C2×Dic3 | — | 2 | 2 | no | — |
| 215 | C2×Dic3 | — | 4 | 2 | no | — |
| 216 | C2×Dic3 | — | 6 | 2 | no | — |
| 217 | C2×Dic3 | — | 6 | 2 | no | — |
| 218 | C2×Dic3 | — | 12 | 2 | no | — |
| 219 | D12 | — | 6 | 4 | no | — |
| 220 | D12 | — | 6 | 2 | no | — |
| 221 | D12 | — | 6 | 2 | no | — |
| 222 | D12 | — | 6 | 2 | no | — |
| 223 | D12 | — | 6 | 2 | no | — |
| 224 | D12 | — | 12 | 2 | no | — |
| 225 | C4×D3 | — | 12 | 4 | no | — |
| 226 | C4×D3 | — | 12 | 4 | no | — |
| 227 | C4×D3 | — | 12 | 2 | no | — |
| 228 | C4×D3 | — | 12 | 2 | no | — |
| 229 | C4×D3 | — | 12 | 2 | no | — |
| 230 | C4×D3 | — | 12 | 2 | no | — |
| 231 | Dic6 | — | 6 | 4 | no | — |
| 232 | Dic6 | — | 6 | 2 | no | — |
| 233 | Dic6 | — | 6 | 2 | no | — |
| 234 | Dic6 | — | 6 | 2 | no | — |
| 235 | Dic6 | — | 6 | 2 | no | — |
| 236 | Dic6 | — | 12 | 2 | no | — |
| 237 | C3×C8 | — | 2 | 4 | no | — |
| 238 | C3×C8 | — | 2 | 2 | no | — |
| 239 | C3×C8 | — | 2 | 2 | no | — |
| 240 | C3×C8 | — | 12 | 1 | no | — |
| 241 | C3⋊C8 | — | 4 | 1 | no | — |
| 242 | C2×C32 | — | 2 | 1 | no | — |
| 243 | C2×C32 | — | 2 | 2 | no | — |
| 244 | C2×C32 | #394 | 1 | 1 | yes | characteristic |
| 245 | C3⋊D3 | — | 8 | 2 | no | — |
| 246 | #41 | — | 18 | 2 | no | — |
| 247 | #41 | — | 18 | 2 | no | — |
| 248 | #41 | — | 18 | 2 | no | — |
| 249 | #41 | — | 18 | 2 | no | — |
| 250 | C2×Q8 | — | 9 | 2 | no | — |
| 251 | C2×D4 | — | 9 | 2 | no | — |
| 252 | C2×D4 | — | 18 | 2 | no | — |
| 253 | C22×C4 | — | 18 | 2 | no | — |
| 254 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 255 | Q16 | — | 18 | 2 | no | — |
| 256 | SD16 | — | 18 | 4 | no | — |
| 257 | D8 | — | 18 | 2 | no | — |
| 258 | M16 | — | 2 | 2 | no | — |
| 259 | C2×C8 | — | 6 | 1 | no | — |
| 260 | C2×C8 | — | 6 | 2 | no | — |
| 261 | C2×C8 | #626 | 1 | 2 | yes | — |
| 262 | C4⋊C4 | — | 6 | 1 | no | — |
| 263 | C4⋊C4 | — | 6 | 2 | no | — |
| 264 | C22⋊C4 | — | 3 | 2 | no | — |
| 265 | C22⋊C4 | — | 6 | 2 | no | — |
| 266 | C42 | — | 6 | 1 | no | — |
| 267 | C42 | — | 6 | 2 | no | — |
| 268 | C22×C3 | — | 2 | 1 | no | — |
| 269 | C22×C3 | — | 2 | 2 | no | — |
| 270 | C22×C3 | — | 4 | 1 | no | — |
| 271 | C22×C3 | — | 4 | 1 | no | — |
| 272 | C22×C3 | — | 8 | 1 | no | — |
| 273 | C22×C3 | #884 | 1 | 2 | yes | — |
| 274 | C22×C3 | #895 | 1 | 1 | yes | characteristic |
| 275 | C22×C3 | #895 | 1 | 2 | yes | — |
| 276 | C22×C3 | #930 | 1 | 1 | yes | characteristic |
| 277 | C2×D3 | — | 12 | 4 | no | — |
| 278 | C2×D3 | — | 12 | 2 | no | — |
| 279 | C2×D3 | — | 12 | 2 | no | — |
| 280 | C2×D3 | — | 24 | 4 | no | — |
| 281 | C2×D3 | — | 24 | 2 | no | — |
| 282 | C2×D3 | — | 24 | 2 | no | — |
| 283 | C3×C4 | — | 2 | 1 | no | — |
| 284 | C3×C4 | — | 2 | 2 | no | — |
| 285 | C3×C4 | — | 2 | 1 | no | — |
| 286 | C3×C4 | — | 12 | 2 | no | — |
| 287 | C3×C4 | — | 24 | 2 | no | — |
| 288 | C3×C4 | #875 | 1 | 1 | yes | characteristic |
| 289 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 290 | C3×C4 | #894 | 1 | 2 | yes | — |
| 291 | C3×C4 | #894 | 1 | 2 | yes | — |
| 292 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 293 | C3×C4 | #947 | 1 | 1 | yes | characteristic |
| 294 | Dic3 | — | 4 | 2 | no | — |
| 295 | Dic3 | — | 8 | 2 | no | — |
| 296 | Dic3 | — | 12 | 4 | no | — |
| 297 | Dic3 | — | 12 | 2 | no | — |
| 298 | Dic3 | — | 12 | 2 | no | — |
| 299 | C32 | #2053 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 300 | C23 | — | 18 | 2 | no | — |
| 301 | C23 | D3×D12 | 1 | 1 | yes | characteristic |
| 302 | Q8 | — | 18 | 2 | no | — |
| 303 | Q8 | — | 18 | 2 | no | — |
| 304 | D4 | — | 18 | 2 | no | — |
| 305 | D4 | — | 18 | 2 | no | — |
| 306 | D4 | — | 36 | 2 | no | — |
| 307 | D4 | — | 36 | 2 | no | — |
| 308 | C2×C4 | — | 6 | 2 | no | — |
| 309 | C2×C4 | — | 12 | 2 | no | — |
| 310 | C2×C4 | — | 18 | 2 | no | — |
| 311 | C2×C4 | — | 36 | 2 | no | — |
| 312 | C2×C4 | — | 36 | 2 | no | — |
| 313 | C2×C4 | #3799 | 1 | 2 | yes | — |
| 314 | C2×C4 | #3799 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C2×#626 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | #3811 | 1 | 2 | yes | — |
| 317 | C8 | — | 2 | 2 | no | — |
| 318 | C8 | — | 12 | 1 | no | — |
| 319 | C2×C3 | — | 2 | 2 | no | — |
| 320 | C2×C3 | — | 2 | 1 | no | — |
| 321 | C2×C3 | — | 2 | 1 | no | — |
| 322 | C2×C3 | — | 2 | 2 | no | — |
| 323 | C2×C3 | — | 2 | 1 | no | — |
| 324 | C2×C3 | — | 4 | 2 | no | — |
| 325 | C2×C3 | — | 4 | 1 | no | — |
| 326 | C2×C3 | #4672 | 1 | 1 | yes | characteristic |
| 327 | C2×C3 | #4991 | 1 | 1 | yes | characteristic |
| 328 | D3 | — | 24 | 4 | no | — |
| 329 | D3 | — | 24 | 2 | no | — |
| 330 | D3 | — | 24 | 2 | no | — |
| 331 | C22 | — | 4 | 1 | no | — |
| 332 | C22 | — | 36 | 2 | no | — |
| 333 | C22 | — | 72 | 2 | no | — |
| 334 | C22 | #63909 | 1 | 1 | yes | characteristic |
| 335 | C22 | #63910 | 1 | 2 | yes | — |
| 336 | C4 | — | 12 | 2 | no | — |
| 337 | C4 | — | 24 | 2 | no | — |
| 338 | C4 | — | 36 | 2 | no | — |
| 339 | C4 | #63864 | 1 | 1 | yes | characteristic |
| 340 | C4 | #63897 | 1 | 2 | yes | — |
| 341 | C4 | #63981 | 1 | 1 | yes | characteristic |
| 342 | C3 | — | 2 | 1 | no | — |
| 343 | C3 | #68698 | 1 | 1 | yes | characteristic, complemented |
| 344 | C3 | #70547 | 1 | 1 | yes | characteristic, complemented |
| 345 | C2 | — | 2 | 1 | no | — |
| 346 | C2 | — | 2 | 2 | no | — |
| 347 | C2 | — | 72 | 2 | no | — |
| 348 | C2 | #10591321 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C3×#5119 | C2 | semidirect |
| 3. #10591232 | C2 | semidirect |
| 4. #10591105 | C2 | semidirect |
| 5. C3×#4557 | C2 | semidirect |
| 24. #5119 | D3 | semidirect |
| 30. #4557 | D3 | semidirect |
| 299. C32 | #2053 | semidirect |
| 343. C3 | #68698 | semidirect |
| 344. C3 | #70547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596219 | 2 |
| C3×#5119 | 2 |
| #10591232 | 2 |
| #10591105 | 2 |
| C3×#4557 | 2 |
| #70547 | 3 |
| #68698 | 3 |