Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1672 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 1672 conjugacy classes of subgroups — too many to draw. Only its 144 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 | #11724679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C32×#940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11723378 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#63660 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11722048 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10592776 | — | 3 | 1 | no | maximal |
| 7 | #10591511 | — | 3 | 4 | no | maximal |
| 8 | C2×C33×D4 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#6312 | — | 2 | 2 | no | — |
| 10 | #89078 | — | 2 | 2 | no | — |
| 11 | D4×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 12 | #89076 | C22 | 1 | 2 | yes | — |
| 13 | C2×C32×#67 | — | 2 | 2 | no | — |
| 14 | C2×C32×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×#3748 | C22 | 1 | 2 | yes | complemented |
| 16 | C32×C4×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #88794 | — | 2 | 2 | no | — |
| 18 | #88790 | — | 2 | 2 | no | — |
| 19 | #64361 | — | 3 | 1 | no | — |
| 20 | #64361 | — | 3 | 4 | no | — |
| 21 | #64361 | — | 6 | 4 | no | — |
| 22 | C32×#127 | — | 3 | 1 | no | — |
| 23 | #64141 | — | 3 | 2 | no | — |
| 24 | C3×#940 | D3 | 1 | 4 | yes | complemented |
| 25 | #63830 | — | 3 | 8 | no | — |
| 26 | #63660 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #63632 | — | 3 | 2 | no | — |
| 28 | C3×#833 | — | 3 | 4 | no | — |
| 29 | #63570 | — | 3 | 8 | no | — |
| 30 | C23×C33 | D4 | 1 | 2 | yes | — |
| 31 | C22×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 32 | C22×C32×D3 | — | 2 | 1 | no | — |
| 33 | C33×D4 | — | 2 | 2 | no | — |
| 34 | C2×C33×C4 | C23 | 1 | 1 | yes | characteristic |
| 35 | #6312 | — | 2 | 4 | no | — |
| 36 | #6312 | — | 2 | 2 | no | — |
| 37 | C2×C3⋊(C3⋊Dic3) | — | 2 | 2 | no | — |
| 38 | C4⋊(C3⋊(C3⋊D3)) | D4 | 1 | 2 | yes | complemented |
| 39 | C4×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 40 | #6308 | D4 | 1 | 2 | yes | complemented |
| 41 | C32×#67 | — | 4 | 4 | no | — |
| 42 | C2×C32×Dic3 | — | 2 | 1 | no | — |
| 43 | C32×D12 | — | 2 | 2 | no | — |
| 44 | C3×C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 45 | #5077 | — | 9 | 4 | no | — |
| 46 | #4747 | — | 9 | 1 | no | — |
| 47 | C2×C32×D4 | — | 2 | 4 | no | — |
| 48 | C2×C32×D4 | — | 3 | 1 | no | — |
| 49 | C2×C32×D4 | — | 6 | 2 | no | — |
| 50 | C2×C32×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 51 | C2×C32×D4 | C2×D3 | 1 | 4 | yes | — |
| 52 | C2×#638 | — | 6 | 16 | no | — |
| 53 | C2×#638 | — | 6 | 2 | no | — |
| 54 | C2×#638 | — | 6 | 8 | no | — |
| 55 | #3830 | — | 6 | 2 | no | — |
| 56 | #3830 | — | 6 | 8 | no | — |
| 57 | #3830 | — | 6 | 16 | no | — |
| 58 | D4×C3⋊D3 | — | 6 | 2 | no | — |
| 59 | D4×C3⋊D3 | — | 6 | 8 | no | — |
| 60 | D4×C3⋊D3 | — | 6 | 16 | no | — |
| 61 | #3828 | — | 3 | 2 | no | — |
| 62 | #3828 | — | 3 | 8 | no | — |
| 63 | #3828 | — | 6 | 8 | no | — |
| 64 | C2×C3×#67 | — | 2 | 8 | no | — |
| 65 | C2×C3×D12 | C2×D3 | 1 | 4 | yes | complemented |
| 66 | C32×C42 | — | 3 | 1 | no | — |
| 67 | #3754 | — | 6 | 2 | no | — |
| 68 | #3753 | — | 6 | 2 | no | — |
| 69 | #3748 | C2×D3 | 1 | 2 | yes | complemented |
| 70 | C3×C4×Dic3 | C2×D3 | 1 | 4 | yes | complemented |
| 71 | C3×#208 | — | 3 | 8 | no | — |
| 72 | #3716 | — | 6 | 8 | no | — |
| 73 | #3714 | — | 6 | 8 | no | — |
| 74 | C22×C33 | — | 2 | 2 | no | — |
| 75 | C22×C33 | — | 4 | 2 | no | — |
| 76 | C22×C33 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C2×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 78 | C2×C3⋊(C3⋊D3) | — | 8 | 2 | no | — |
| 79 | C2×C32×D3 | — | 4 | 2 | no | — |
| 80 | C2×C32×D3 | — | 4 | 1 | no | — |
| 81 | C33×C4 | C2×D4 | 1 | 2 | yes | — |
| 82 | C3⋊(C3⋊Dic3) | — | 2 | 2 | no | — |
| 83 | C32×Dic3 | — | 2 | 2 | no | — |
| 84 | #1004 | — | 9 | 4 | no | — |
| 85 | #1004 | — | 9 | 1 | no | — |
| 86 | #1004 | — | 18 | 4 | no | — |
| 87 | C3×#127 | — | 3 | 4 | no | — |
| 88 | #940 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 89 | #932 | — | 9 | 8 | no | — |
| 90 | #908 | — | 9 | 2 | no | — |
| 91 | C3×#100 | — | 9 | 1 | no | — |
| 92 | #833 | — | 3 | 4 | no | — |
| 93 | #825 | — | 9 | 2 | no | — |
| 94 | #805 | — | 9 | 8 | no | — |
| 95 | C23×C32 | — | 2 | 8 | no | — |
| 96 | C23×C32 | — | 6 | 1 | no | — |
| 97 | C23×C32 | D12 | 1 | 2 | yes | — |
| 98 | C23×C32 | #67 | 1 | 8 | yes | — |
| 99 | C22×C3⋊D3 | — | 6 | 16 | no | — |
| 100 | C22×C3⋊D3 | — | 6 | 2 | no | — |
| 101 | C22×C3⋊D3 | — | 6 | 8 | no | — |
| 102 | C22×C3×D3 | — | 2 | 4 | no | — |
| 103 | C32×D4 | — | 2 | 16 | no | — |
| 104 | C32×D4 | — | 2 | 8 | no | — |
| 105 | C32×D4 | — | 2 | 2 | no | — |
| 106 | C32×D4 | — | 6 | 2 | no | — |
| 107 | C32×D4 | — | 12 | 4 | no | — |
| 108 | C2×C32×C4 | — | 2 | 4 | no | — |
| 109 | C2×C32×C4 | — | 6 | 1 | no | — |
| 110 | C2×C32×C4 | C22×D3 | 1 | 4 | yes | — |
| 111 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 112 | #638 | — | 6 | 16 | no | — |
| 113 | #638 | — | 6 | 32 | no | — |
| 114 | #638 | — | 6 | 4 | no | — |
| 115 | #638 | — | 6 | 16 | no | — |
| 116 | #638 | — | 6 | 2 | no | — |
| 117 | #638 | — | 6 | 8 | no | — |
| 118 | C2×C3⋊Dic3 | — | 6 | 16 | no | — |
| 119 | C2×C3⋊Dic3 | — | 6 | 2 | no | — |
| 120 | C2×C3⋊Dic3 | — | 6 | 8 | no | — |
| 121 | C4⋊(C3⋊D3) | — | 3 | 2 | no | — |
| 122 | C4⋊(C3⋊D3) | — | 3 | 8 | no | — |
| 123 | C4⋊(C3⋊D3) | — | 6 | 8 | no | — |
| 124 | C4×C3⋊D3 | — | 6 | 16 | no | — |
| 125 | C4×C3⋊D3 | — | 6 | 8 | no | — |
| 126 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 127 | #634 | — | 3 | 2 | no | — |
| 128 | #634 | — | 3 | 8 | no | — |
| 129 | #634 | — | 6 | 8 | no | — |
| 130 | C3×#67 | — | 4 | 16 | no | — |
| 131 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 132 | C3×D12 | — | 2 | 8 | no | — |
| 133 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 134 | C3×C3⋊C8 | — | 6 | 8 | no | — |
| 135 | #453 | — | 27 | 1 | no | Sylow |
| 136 | C2×C33 | — | 2 | 1 | no | — |
| 137 | C2×C33 | — | 4 | 2 | no | — |
| 138 | C2×C33 | #120 | 1 | 1 | yes | characteristic |
| 139 | C3⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 140 | C32×D3 | — | 8 | 1 | no | — |
| 141 | C2×C3×D4 | — | 2 | 4 | no | — |
| 142 | C2×C3×D4 | — | 3 | 4 | no | — |
| 143 | C2×C3×D4 | — | 6 | 8 | no | — |
| 144 | C2×C3×D4 | D32 | 1 | 4 | yes | — |
| 145 | C2×C3×D4 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 146 | C2×#67 | — | 2 | 2 | no | — |
| 147 | C2×#67 | — | 18 | 16 | no | — |
| 148 | C2×#67 | — | 18 | 8 | no | — |
| 149 | C2×#67 | — | 18 | 2 | no | — |
| 150 | #237 | — | 18 | 8 | no | — |
| 151 | #237 | — | 18 | 2 | no | — |
| 152 | #237 | — | 18 | 16 | no | — |
| 153 | D3×D4 | — | 18 | 8 | no | — |
| 154 | D3×D4 | — | 18 | 2 | no | — |
| 155 | D3×D4 | — | 18 | 16 | no | — |
| 156 | #235 | — | 9 | 8 | no | — |
| 157 | #235 | — | 9 | 2 | no | — |
| 158 | #235 | — | 18 | 8 | no | — |
| 159 | C2×D12 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 160 | C3×M16 | — | 9 | 2 | no | — |
| 161 | C3×C42 | — | 3 | 4 | no | — |
| 162 | #214 | — | 18 | 8 | no | — |
| 163 | #213 | — | 18 | 8 | no | — |
| 164 | C4×Dic3 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 165 | #208 | — | 3 | 8 | no | — |
| 166 | D24 | — | 18 | 2 | no | — |
| 167 | #204 | — | 18 | 2 | no | — |
| 168 | C22×C32 | — | 2 | 16 | no | — |
| 169 | C22×C32 | — | 2 | 2 | no | — |
| 170 | C22×C32 | — | 2 | 8 | no | — |
| 171 | C22×C32 | — | 2 | 4 | no | — |
| 172 | C22×C32 | — | 4 | 2 | no | — |
| 173 | C22×C32 | — | 4 | 8 | no | — |
| 174 | C22×C32 | — | 8 | 8 | no | — |
| 175 | C22×C32 | — | 12 | 2 | no | — |
| 176 | C22×C32 | — | 12 | 1 | no | — |
| 177 | C22×C32 | C2×D12 | 1 | 1 | yes | characteristic |
| 178 | C22×C32 | C2×#67 | 1 | 4 | yes | — |
| 179 | C2×C3⋊D3 | — | 6 | 16 | no | — |
| 180 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 181 | C2×C3⋊D3 | — | 6 | 8 | no | — |
| 182 | C2×C3⋊D3 | — | 24 | 16 | no | — |
| 183 | C2×C3⋊D3 | — | 24 | 2 | no | — |
| 184 | C2×C3⋊D3 | — | 24 | 8 | no | — |
| 185 | C2×C3×D3 | — | 4 | 8 | no | — |
| 186 | C2×C3×D3 | — | 4 | 4 | no | — |
| 187 | C32×C4 | — | 2 | 8 | no | — |
| 188 | C32×C4 | — | 6 | 2 | no | — |
| 189 | C32×C4 | D3×D4 | 1 | 8 | yes | — |
| 190 | C32×C4 | D3×D4 | 1 | 2 | yes | — |
| 191 | C3⋊Dic3 | — | 6 | 16 | no | — |
| 192 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 193 | C3⋊Dic3 | — | 6 | 8 | no | — |
| 194 | C3×Dic3 | — | 2 | 8 | no | — |
| 195 | H(5,𝔽2) | — | 27 | 1 | no | — |
| 196 | AGL(1,ℤ/8) | — | 27 | 2 | no | — |
| 197 | #127 | — | 3 | 1 | no | — |
| 198 | #104 | — | 27 | 2 | no | — |
| 199 | #100 | — | 9 | 1 | no | — |
| 200 | C33 | #453 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 201 | C23×C3 | — | 2 | 8 | no | — |
| 202 | C23×C3 | — | 6 | 4 | no | — |
| 203 | C23×C3 | #626 | 1 | 8 | yes | — |
| 204 | C23×C3 | #638 | 1 | 2 | yes | — |
| 205 | C22×D3 | — | 2 | 1 | no | — |
| 206 | C22×D3 | — | 18 | 16 | no | — |
| 207 | C22×D3 | — | 18 | 2 | no | — |
| 208 | C22×D3 | — | 18 | 8 | no | — |
| 209 | C3×D4 | — | 2 | 16 | no | — |
| 210 | C3×D4 | — | 2 | 8 | no | — |
| 211 | C3×D4 | — | 2 | 2 | no | — |
| 212 | C3×D4 | — | 6 | 8 | no | — |
| 213 | C3×D4 | — | 12 | 16 | no | — |
| 214 | C2×C3×C4 | — | 2 | 4 | no | — |
| 215 | C2×C3×C4 | — | 6 | 4 | no | — |
| 216 | C2×C3×C4 | C2×D32 | 1 | 4 | yes | — |
| 217 | C2×C3×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 218 | #67 | — | 4 | 4 | no | — |
| 219 | #67 | — | 18 | 16 | no | — |
| 220 | #67 | — | 18 | 32 | no | — |
| 221 | #67 | — | 18 | 4 | no | — |
| 222 | #67 | — | 18 | 16 | no | — |
| 223 | #67 | — | 18 | 8 | no | — |
| 224 | #67 | — | 18 | 2 | no | — |
| 225 | C2×Dic3 | — | 2 | 1 | no | — |
| 226 | C2×Dic3 | — | 18 | 16 | no | — |
| 227 | C2×Dic3 | — | 18 | 2 | no | — |
| 228 | C2×Dic3 | — | 18 | 8 | no | — |
| 229 | D12 | — | 2 | 2 | no | — |
| 230 | D12 | — | 9 | 8 | no | — |
| 231 | D12 | — | 9 | 2 | no | — |
| 232 | D12 | — | 18 | 8 | no | — |
| 233 | C4×D3 | — | 18 | 16 | no | — |
| 234 | C4×D3 | — | 18 | 8 | no | — |
| 235 | C4×D3 | — | 18 | 2 | no | — |
| 236 | Dic6 | — | 9 | 8 | no | — |
| 237 | Dic6 | — | 9 | 2 | no | — |
| 238 | Dic6 | — | 18 | 8 | no | — |
| 239 | C3×C8 | — | 18 | 2 | no | — |
| 240 | C3⋊C8 | — | 6 | 8 | no | — |
| 241 | C2×C32 | — | 2 | 1 | no | — |
| 242 | C2×C32 | — | 2 | 4 | no | — |
| 243 | C2×C32 | — | 2 | 4 | no | — |
| 244 | C2×C32 | — | 4 | 4 | no | — |
| 245 | C2×C32 | — | 4 | 16 | no | — |
| 246 | C2×C32 | — | 4 | 2 | no | — |
| 247 | C2×C32 | — | 4 | 8 | no | — |
| 248 | C2×C32 | — | 24 | 1 | no | — |
| 249 | C2×C32 | #882 | 1 | 1 | yes | characteristic |
| 250 | C2×C32 | #937 | 1 | 4 | yes | — |
| 251 | C3⋊D3 | — | 12 | 16 | no | — |
| 252 | C3⋊D3 | — | 12 | 2 | no | — |
| 253 | C3⋊D3 | — | 12 | 8 | no | — |
| 254 | C3×D3 | — | 8 | 4 | no | — |
| 255 | #41 | — | 27 | 2 | no | — |
| 256 | #41 | — | 54 | 2 | no | — |
| 257 | C2×D4 | — | 3 | 1 | no | — |
| 258 | C2×D4 | — | 6 | 2 | no | — |
| 259 | C2×D4 | — | 54 | 2 | no | — |
| 260 | C2×D4 | — | 54 | 2 | no | — |
| 261 | C2×D4 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 262 | SD16 | — | 54 | 2 | no | — |
| 263 | D8 | — | 54 | 2 | no | — |
| 264 | M16 | — | 9 | 2 | no | — |
| 265 | C42 | — | 3 | 1 | no | — |
| 266 | C22×C3 | — | 2 | 16 | no | — |
| 267 | C22×C3 | — | 2 | 2 | no | — |
| 268 | C22×C3 | — | 2 | 8 | no | — |
| 269 | C22×C3 | — | 2 | 4 | no | — |
| 270 | C22×C3 | — | 4 | 2 | no | — |
| 271 | C22×C3 | — | 4 | 8 | no | — |
| 272 | C22×C3 | — | 8 | 8 | no | — |
| 273 | C22×C3 | — | 12 | 8 | no | — |
| 274 | C22×C3 | — | 12 | 4 | no | — |
| 275 | C22×C3 | C2×#626 | 1 | 4 | yes | — |
| 276 | C22×C3 | C2×#638 | 1 | 1 | yes | characteristic |
| 277 | C2×D3 | — | 4 | 2 | no | — |
| 278 | C2×D3 | — | 4 | 1 | no | — |
| 279 | C2×D3 | — | 18 | 16 | no | — |
| 280 | C2×D3 | — | 18 | 2 | no | — |
| 281 | C2×D3 | — | 18 | 8 | no | — |
| 282 | C2×D3 | — | 72 | 16 | no | — |
| 283 | C2×D3 | — | 72 | 2 | no | — |
| 284 | C2×D3 | — | 72 | 8 | no | — |
| 285 | C3×C4 | — | 2 | 8 | no | — |
| 286 | C3×C4 | — | 6 | 8 | no | — |
| 287 | C3×C4 | #3811 | 1 | 8 | yes | — |
| 288 | C3×C4 | D4×C3⋊D3 | 1 | 2 | yes | — |
| 289 | Dic3 | — | 2 | 2 | no | — |
| 290 | Dic3 | — | 18 | 16 | no | — |
| 291 | Dic3 | — | 18 | 2 | no | — |
| 292 | Dic3 | — | 18 | 8 | no | — |
| 293 | C32 | — | 2 | 4 | no | — |
| 294 | C32 | #4747 | 1 | 1 | yes | characteristic, complemented |
| 295 | C32 | #5077 | 1 | 4 | yes | complemented |
| 296 | C23 | — | 6 | 1 | no | — |
| 297 | C23 | — | 54 | 2 | no | — |
| 298 | C23 | #6291 | 1 | 2 | yes | — |
| 299 | Q8 | — | 27 | 2 | no | — |
| 300 | D4 | — | 2 | 2 | no | — |
| 301 | D4 | — | 6 | 2 | no | — |
| 302 | D4 | — | 12 | 4 | no | — |
| 303 | D4 | — | 27 | 2 | no | — |
| 304 | D4 | — | 54 | 4 | no | — |
| 305 | D4 | — | 54 | 2 | no | — |
| 306 | C2×C4 | — | 6 | 1 | no | — |
| 307 | C2×C4 | — | 54 | 2 | no | — |
| 308 | C2×C4 | — | 54 | 2 | no | — |
| 309 | C2×C4 | C2×D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 310 | C8 | — | 18 | 2 | no | — |
| 311 | C2×C3 | — | 2 | 1 | no | — |
| 312 | C2×C3 | — | 2 | 4 | no | — |
| 313 | C2×C3 | — | 2 | 4 | no | — |
| 314 | C2×C3 | — | 4 | 4 | no | — |
| 315 | C2×C3 | — | 4 | 16 | no | — |
| 316 | C2×C3 | — | 4 | 2 | no | — |
| 317 | C2×C3 | — | 4 | 8 | no | — |
| 318 | C2×C3 | — | 24 | 4 | no | — |
| 319 | C2×C3 | #63981 | 1 | 4 | yes | — |
| 320 | C2×C3 | #64146 | 1 | 1 | yes | characteristic |
| 321 | D3 | — | 8 | 1 | no | — |
| 322 | D3 | — | 36 | 16 | no | — |
| 323 | D3 | — | 36 | 2 | no | — |
| 324 | D3 | — | 36 | 8 | no | — |
| 325 | C22 | — | 2 | 2 | no | — |
| 326 | C22 | — | 4 | 2 | no | — |
| 327 | C22 | — | 12 | 2 | no | — |
| 328 | C22 | — | 12 | 1 | no | — |
| 329 | C22 | — | 54 | 2 | no | — |
| 330 | C22 | — | 216 | 2 | no | — |
| 331 | C22 | C2×#6291 | 1 | 1 | yes | characteristic |
| 332 | C4 | — | 6 | 2 | no | — |
| 333 | C4 | — | 54 | 2 | no | — |
| 334 | C4 | #89039 | 1 | 2 | yes | — |
| 335 | C3 | — | 2 | 4 | no | — |
| 336 | C3 | #10591511 | 1 | 4 | yes | complemented |
| 337 | C3 | #10592776 | 1 | 1 | yes | characteristic, complemented |
| 338 | C2 | — | 2 | 1 | no | — |
| 339 | C2 | — | 4 | 2 | no | — |
| 340 | C2 | — | 24 | 1 | no | — |
| 341 | C2 | — | 108 | 2 | no | — |
| 342 | C2 | #11723638 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11724679 | C2 | semidirect |
| 2. C32×#940 | C2 | semidirect |
| 3. #11723378 | C2 | semidirect |
| 4. C3×#63660 | C2 | semidirect |
| 5. #11722048 | C2 | semidirect |
| 14. C2×C32×D12 | C22 | semidirect |
| 15. C3×#3748 | C22 | semidirect |
| 16. C32×C4×Dic3 | C22 | semidirect |
| 24. C3×#940 | D3 | semidirect |
| 26. #63660 | D3 | semidirect |
| 38. C4⋊(C3⋊(C3⋊D3)) | D4 | semidirect |
| 40. #6308 | D4 | semidirect |
| 65. C2×C3×D12 | C2×D3 | semidirect |
| 69. #3748 | C2×D3 | semidirect |
| 70. C3×C4×Dic3 | C2×D3 | semidirect |
| 88. #940 | C3⋊D3 | semidirect |
| 159. C2×D12 | C2×C3⋊D3 | semidirect |
| 164. C4×Dic3 | C2×C3⋊D3 | semidirect |
| 200. C33 | #453 | semidirect |
| 294. C32 | #4747 | semidirect |
| 295. C32 | #5077 | semidirect |
| 336. C3 | #10591511 | semidirect |
| 337. C3 | #10592776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11724679 | 2 |
| C32×#940 | 2 |
| #11723378 | 2 |
| C3×#63660 | 2 |
| #11722048 | 2 |
| #10592776 | 3 |
| #10591511 | 3 |