← #11909733
Subgroups — #11909733
Order 1152.
3312 conjugacy classes of subgroups.
The subgroup lattice has 387 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C32×#550 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596302 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10596298 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10596187 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #10596184 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10596082 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #10596074 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C4×Q8×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | Q8×#634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10596028 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #10596014 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #86776 | — | 3 | 4 | no | maximal |
| 13 | C2×C32×#41 | C22 | 1 | 2 | yes | — |
| 14 | C2×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#3830 | C22 | 1 | 6 | yes | — |
| 16 | C32×#127 | C22 | 1 | 3 | yes | — |
| 17 | C32×#121 | C22 | 1 | 6 | yes | — |
| 18 | C32×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C32×C4×D4 | C22 | 1 | 3 | yes | — |
| 20 | Q8×C3⋊Dic3 | C22 | 1 | 2 | yes | — |
| 21 | Q8×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64147 | C22 | 1 | 3 | yes | — |
| 23 | #64147 | C22 | 1 | 6 | yes | — |
| 24 | #64145 | C22 | 1 | 3 | yes | — |
| 25 | #64145 | C22 | 1 | 6 | yes | — |
| 26 | #64145 | C22 | 1 | 6 | yes | — |
| 27 | #64144 | C22 | 1 | 12 | yes | — |
| 28 | D4×C3⋊Dic3 | C22 | 1 | 6 | yes | — |
| 29 | D4×C3⋊Dic3 | C22 | 1 | 6 | yes | — |
| 30 | D4×C3⋊Dic3 | C22 | 1 | 6 | yes | — |
| 31 | C4×#638 | C22 | 1 | 6 | yes | — |
| 32 | #64135 | C22 | 1 | 6 | yes | — |
| 33 | C2×C4⋊(C3⋊Dic3) | C22 | 1 | 6 | yes | — |
| 34 | #64133 | C22 | 1 | 6 | yes | — |
| 35 | #64106 | C22 | 1 | 1 | yes | characteristic |
| 36 | C4⋊C4×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 37 | #64099 | C22 | 1 | 3 | yes | — |
| 38 | #64097 | C22 | 1 | 6 | yes | — |
| 39 | #64096 | C22 | 1 | 3 | yes | — |
| 40 | #64092 | C22 | 1 | 6 | yes | — |
| 41 | #64088 | C22 | 1 | 6 | yes | — |
| 42 | #64087 | C22 | 1 | 12 | yes | — |
| 43 | C42×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 44 | #64078 | C22 | 1 | 3 | yes | — |
| 45 | C4×#634 | C22 | 1 | 3 | yes | — |
| 46 | C4×#634 | C22 | 1 | 3 | yes | — |
| 47 | C3×#550 | D3 | 1 | 4 | yes | complemented |
| 48 | #5831 | — | 3 | 8 | no | — |
| 49 | #5827 | — | 3 | 8 | no | — |
| 50 | #5716 | — | 3 | 12 | no | — |
| 51 | #5713 | — | 3 | 12 | no | — |
| 52 | #5611 | — | 3 | 24 | no | — |
| 53 | #5603 | — | 3 | 24 | no | — |
| 54 | C4×D3×Q8 | — | 3 | 4 | no | — |
| 55 | Q8×Dic6 | — | 3 | 4 | no | — |
| 56 | #5557 | — | 3 | 12 | no | — |
| 57 | #5543 | — | 3 | 12 | no | — |
| 58 | C32×#41 | — | 2 | 8 | no | — |
| 59 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×C32×D4 | C23 | 1 | 6 | yes | — |
| 61 | C2×C32×D4 | C23 | 1 | 3 | yes | — |
| 62 | C2×C32×D4 | C23 | 1 | 6 | yes | — |
| 63 | C22×C32×C4 | C23 | 1 | 6 | yes | — |
| 64 | C2×#638 | C23 | 1 | 6 | yes | — |
| 65 | C22×C3⋊Dic3 | C23 | 1 | 12 | yes | — |
| 66 | Q8×C3⋊D3 | — | 2 | 4 | no | — |
| 67 | #3830 | — | 4 | 12 | no | — |
| 68 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 70 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 71 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#634 | C23 | 1 | 3 | yes | — |
| 73 | C2×#634 | C23 | 1 | 6 | yes | — |
| 74 | C32×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 75 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 76 | C32×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 77 | C32×C42 | C23 | 1 | 3 | yes | — |
| 78 | #3757 | C23 | 1 | 12 | yes | — |
| 79 | #3757 | C23 | 1 | 6 | yes | — |
| 80 | #3757 | C23 | 1 | 6 | yes | — |
| 81 | #3757 | C23 | 1 | 6 | yes | — |
| 82 | #3752 | C23 | 1 | 2 | yes | — |
| 83 | C4⋊(C3⋊Dic3) | C23 | 1 | 3 | yes | — |
| 84 | C4⋊(C3⋊Dic3) | C23 | 1 | 3 | yes | — |
| 85 | C4⋊(C3⋊Dic3) | C23 | 1 | 6 | yes | — |
| 86 | C4⋊(C3⋊Dic3) | C23 | 1 | 6 | yes | — |
| 87 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 88 | #3750 | C23 | 1 | 6 | yes | — |
| 89 | #3750 | C23 | 1 | 6 | yes | — |
| 90 | #3750 | C23 | 1 | 6 | yes | — |
| 91 | C4×C3⋊Dic3 | C23 | 1 | 3 | yes | — |
| 92 | C4×C3⋊Dic3 | C23 | 1 | 6 | yes | — |
| 93 | C4×C3⋊Dic3 | C23 | 1 | 3 | yes | — |
| 94 | C4×C3⋊Dic3 | C23 | 1 | 3 | yes | — |
| 95 | #3522 | — | 9 | 1 | no | Sylow |
| 96 | C2×C3×#41 | C2×D3 | 1 | 8 | yes | — |
| 97 | C2×D3×Q8 | — | 3 | 4 | no | — |
| 98 | C2×#237 | — | 3 | 24 | no | — |
| 99 | C3×#127 | C2×D3 | 1 | 12 | yes | — |
| 100 | C3×#121 | C2×D3 | 1 | 24 | yes | — |
| 101 | C3×C4×Q8 | C2×D3 | 1 | 4 | yes | — |
| 102 | C3×C4×D4 | C2×D3 | 1 | 12 | yes | — |
| 103 | Q8×Dic3 | — | 3 | 8 | no | — |
| 104 | Q8×Dic3 | — | 3 | 4 | no | — |
| 105 | #938 | — | 3 | 12 | no | — |
| 106 | #938 | — | 3 | 24 | no | — |
| 107 | #936 | — | 3 | 12 | no | — |
| 108 | #936 | — | 3 | 24 | no | — |
| 109 | #936 | — | 3 | 24 | no | — |
| 110 | #935 | — | 3 | 48 | no | — |
| 111 | D4×Dic3 | — | 3 | 24 | no | — |
| 112 | D4×Dic3 | — | 3 | 24 | no | — |
| 113 | D4×Dic3 | — | 3 | 24 | no | — |
| 114 | C4×#67 | — | 3 | 24 | no | — |
| 115 | #926 | — | 3 | 24 | no | — |
| 116 | C2×C4⋊Dic3 | — | 3 | 24 | no | — |
| 117 | #924 | — | 3 | 24 | no | — |
| 118 | #897 | — | 3 | 4 | no | — |
| 119 | D3×C4⋊C4 | — | 3 | 12 | no | — |
| 120 | #890 | — | 3 | 12 | no | — |
| 121 | #888 | — | 3 | 24 | no | — |
| 122 | #887 | — | 3 | 12 | no | — |
| 123 | #883 | — | 3 | 24 | no | — |
| 124 | #879 | — | 3 | 24 | no | — |
| 125 | #878 | — | 3 | 48 | no | — |
| 126 | C42×D3 | — | 3 | 12 | no | — |
| 127 | #869 | — | 3 | 12 | no | — |
| 128 | C4×Dic6 | — | 3 | 12 | no | — |
| 129 | C4×Dic6 | — | 3 | 12 | no | — |
| 130 | C23×C32 | C24 | 1 | 6 | yes | — |
| 131 | C22×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 132 | C32×Q8 | #41 | 1 | 4 | yes | complemented |
| 133 | C32×D4 | — | 2 | 12 | no | — |
| 134 | C32×D4 | — | 2 | 6 | no | — |
| 135 | C32×D4 | — | 4 | 6 | no | — |
| 136 | C2×C32×C4 | — | 2 | 12 | no | — |
| 137 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 138 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 139 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 140 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 141 | #638 | — | 2 | 12 | no | — |
| 142 | C2×C3⋊Dic3 | — | 4 | 12 | no | — |
| 143 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 144 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 145 | C2×C3⋊Dic3 | C24 | 1 | 3 | yes | — |
| 146 | C2×C3⋊Dic3 | C24 | 1 | 3 | yes | — |
| 147 | C2×C3⋊Dic3 | C24 | 1 | 6 | yes | — |
| 148 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 149 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 150 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 151 | #634 | — | 2 | 6 | no | — |
| 152 | #634 | — | 2 | 2 | no | — |
| 153 | #634 | — | 4 | 6 | no | — |
| 154 | #559 | — | 9 | 3 | no | — |
| 155 | Q82 | — | 9 | 1 | no | — |
| 156 | #554 | — | 9 | 3 | no | — |
| 157 | #550 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 158 | #548 | — | 9 | 2 | no | — |
| 159 | #547 | — | 9 | 6 | no | — |
| 160 | #542 | — | 9 | 6 | no | — |
| 161 | #532 | — | 9 | 3 | no | — |
| 162 | #529 | — | 9 | 3 | no | — |
| 163 | #520 | — | 9 | 2 | no | — |
| 164 | C2×C4×Q8 | — | 9 | 1 | no | — |
| 165 | C3×#41 | — | 2 | 32 | no | — |
| 166 | C2×C3×Q8 | C22×D3 | 1 | 4 | yes | — |
| 167 | C2×C3×D4 | C22×D3 | 1 | 12 | yes | — |
| 168 | C2×C3×D4 | C22×D3 | 1 | 24 | yes | — |
| 169 | C2×C3×D4 | C22×D3 | 1 | 24 | yes | — |
| 170 | C22×C3×C4 | C22×D3 | 1 | 24 | yes | — |
| 171 | C2×#67 | — | 3 | 24 | no | — |
| 172 | C22×Dic3 | — | 3 | 48 | no | — |
| 173 | D3×Q8 | — | 6 | 16 | no | — |
| 174 | #237 | — | 12 | 48 | no | — |
| 175 | C2×C4×D3 | — | 3 | 4 | no | — |
| 176 | C2×C4×D3 | — | 3 | 12 | no | — |
| 177 | C2×C4×D3 | — | 3 | 12 | no | — |
| 178 | C2×Dic6 | — | 3 | 4 | no | — |
| 179 | C2×Dic6 | — | 3 | 12 | no | — |
| 180 | C2×Dic6 | — | 3 | 24 | no | — |
| 181 | C3×C4⋊C4 | C22×D3 | 1 | 12 | yes | — |
| 182 | C3×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 183 | C3×C22⋊C4 | C22×D3 | 1 | 24 | yes | — |
| 184 | C3×C42 | C22×D3 | 1 | 12 | yes | — |
| 185 | #217 | — | 3 | 48 | no | — |
| 186 | #217 | — | 3 | 24 | no | — |
| 187 | #217 | — | 3 | 24 | no | — |
| 188 | #217 | — | 3 | 24 | no | — |
| 189 | (C2×D3)⋊C4 | — | 3 | 8 | no | — |
| 190 | C4⋊Dic3 | — | 3 | 12 | no | — |
| 191 | C4⋊Dic3 | — | 3 | 12 | no | — |
| 192 | C4⋊Dic3 | — | 3 | 24 | no | — |
| 193 | C4⋊Dic3 | — | 3 | 24 | no | — |
| 194 | C4⋊Dic3 | — | 3 | 8 | no | — |
| 195 | Dic3⋊C4 | — | 3 | 24 | no | — |
| 196 | Dic3⋊C4 | — | 3 | 24 | no | — |
| 197 | Dic3⋊C4 | — | 3 | 24 | no | — |
| 198 | C4×Dic3 | — | 3 | 12 | no | — |
| 199 | C4×Dic3 | — | 3 | 24 | no | — |
| 200 | C4×Dic3 | — | 3 | 12 | no | — |
| 201 | C4×Dic3 | — | 3 | 12 | no | — |
| 202 | C22×C32 | — | 2 | 6 | no | — |
| 203 | C22×C32 | — | 2 | 6 | no | — |
| 204 | C22×C32 | — | 2 | 6 | no | — |
| 205 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 206 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 207 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 208 | C2×C3⋊D3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 209 | C32×C4 | — | 2 | 2 | no | — |
| 210 | C32×C4 | — | 2 | 3 | no | — |
| 211 | C32×C4 | C2×#41 | 1 | 6 | yes | — |
| 212 | C32×C4 | 2−1+4 | 1 | 2 | yes | — |
| 213 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 214 | C3⋊Dic3 | — | 2 | 6 | no | — |
| 215 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 216 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 217 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 218 | C2×#41 | — | 9 | 6 | no | — |
| 219 | C2×#41 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 220 | C22×Q8 | — | 9 | 1 | no | — |
| 221 | C4⋊Q8 | — | 9 | 6 | no | — |
| 222 | C4⋊Q8 | — | 9 | 3 | no | — |
| 223 | #127 | C2×C3⋊D3 | 1 | 3 | yes | — |
| 224 | #126 | — | 9 | 6 | no | — |
| 225 | #125 | — | 9 | 3 | no | — |
| 226 | #124 | — | 9 | 3 | no | — |
| 227 | #124 | — | 9 | 6 | no | — |
| 228 | #124 | — | 9 | 6 | no | — |
| 229 | #123 | — | 9 | 12 | no | — |
| 230 | #123 | — | 9 | 6 | no | — |
| 231 | C22⋊Q8 | — | 9 | 6 | no | — |
| 232 | C22⋊Q8 | — | 9 | 1 | no | — |
| 233 | C22⋊Q8 | — | 9 | 12 | no | — |
| 234 | #121 | — | 9 | 3 | no | — |
| 235 | #121 | — | 9 | 6 | no | — |
| 236 | #121 | C2×C3⋊D3 | 1 | 6 | yes | — |
| 237 | C4×Q8 | — | 9 | 1 | no | — |
| 238 | C4×Q8 | — | 9 | 2 | no | — |
| 239 | C4×Q8 | — | 9 | 3 | no | — |
| 240 | C4×Q8 | — | 9 | 3 | no | — |
| 241 | C4×Q8 | — | 9 | 3 | no | — |
| 242 | C4×Q8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 243 | C4×D4 | — | 9 | 6 | no | — |
| 244 | C4×D4 | — | 9 | 6 | no | — |
| 245 | C4×D4 | — | 9 | 6 | no | — |
| 246 | C4×D4 | — | 9 | 6 | no | — |
| 247 | C4×D4 | C2×C3⋊D3 | 1 | 3 | yes | — |
| 248 | #117 | — | 9 | 6 | no | — |
| 249 | C2×C4⋊C4 | — | 9 | 6 | no | — |
| 250 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 251 | C2×C42 | — | 9 | 3 | no | — |
| 252 | C23×C3 | C23×D3 | 1 | 24 | yes | — |
| 253 | C22×D3 | — | 3 | 4 | no | — |
| 254 | C3×Q8 | #237 | 1 | 16 | yes | complemented |
| 255 | C3×D4 | — | 2 | 48 | no | — |
| 256 | C3×D4 | — | 2 | 24 | no | — |
| 257 | C3×D4 | — | 4 | 24 | no | — |
| 258 | C2×C3×C4 | — | 2 | 48 | no | — |
| 259 | C2×C3×C4 | C23×D3 | 1 | 12 | yes | — |
| 260 | C2×C3×C4 | C23×D3 | 1 | 8 | yes | — |
| 261 | C2×C3×C4 | C23×D3 | 1 | 12 | yes | — |
| 262 | C2×C3×C4 | C23×D3 | 1 | 4 | yes | — |
| 263 | #67 | — | 6 | 48 | no | — |
| 264 | C2×Dic3 | — | 3 | 4 | no | — |
| 265 | C2×Dic3 | — | 3 | 8 | no | — |
| 266 | C2×Dic3 | — | 3 | 12 | no | — |
| 267 | C2×Dic3 | — | 3 | 12 | no | — |
| 268 | C2×Dic3 | — | 3 | 24 | no | — |
| 269 | C2×Dic3 | — | 12 | 48 | no | — |
| 270 | C4×D3 | — | 6 | 24 | no | — |
| 271 | C4×D3 | — | 6 | 24 | no | — |
| 272 | C4×D3 | — | 6 | 8 | no | — |
| 273 | Dic6 | — | 6 | 24 | no | — |
| 274 | Dic6 | — | 6 | 8 | no | — |
| 275 | Dic6 | — | 12 | 24 | no | — |
| 276 | C2×C32 | — | 4 | 6 | no | — |
| 277 | C2×C32 | C22×#41 | 1 | 1 | yes | characteristic |
| 278 | C2×C32 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 279 | C2×C32 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 280 | C3⋊D3 | — | 2 | 2 | no | — |
| 281 | #41 | — | 2 | 8 | no | — |
| 282 | #41 | — | 36 | 12 | no | — |
| 283 | C2×Q8 | — | 9 | 1 | no | — |
| 284 | C2×Q8 | — | 9 | 3 | no | — |
| 285 | C2×Q8 | — | 9 | 6 | no | — |
| 286 | C2×Q8 | — | 18 | 4 | no | — |
| 287 | C2×Q8 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 288 | C2×D4 | — | 9 | 6 | no | — |
| 289 | C2×D4 | C22×C3⋊D3 | 1 | 3 | yes | — |
| 290 | C2×D4 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 291 | C2×D4 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 292 | C22×C4 | — | 9 | 12 | no | — |
| 293 | C22×C4 | — | 9 | 1 | no | — |
| 294 | C22×C4 | — | 9 | 3 | no | — |
| 295 | C22×C4 | — | 9 | 3 | no | — |
| 296 | C22×C4 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 297 | C4⋊C4 | — | 9 | 3 | no | — |
| 298 | C4⋊C4 | — | 9 | 6 | no | — |
| 299 | C4⋊C4 | — | 9 | 6 | no | — |
| 300 | C4⋊C4 | — | 9 | 6 | no | — |
| 301 | C4⋊C4 | — | 9 | 2 | no | — |
| 302 | C4⋊C4 | — | 9 | 3 | no | — |
| 303 | C4⋊C4 | — | 9 | 6 | no | — |
| 304 | C4⋊C4 | — | 9 | 6 | no | — |
| 305 | C4⋊C4 | C22×C3⋊D3 | 1 | 3 | yes | — |
| 306 | C4⋊C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 307 | C22⋊C4 | — | 9 | 6 | no | — |
| 308 | C22⋊C4 | — | 9 | 6 | no | — |
| 309 | C22⋊C4 | — | 9 | 12 | no | — |
| 310 | C22⋊C4 | — | 9 | 6 | no | — |
| 311 | C22⋊C4 | — | 9 | 2 | no | — |
| 312 | C22⋊C4 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 313 | C42 | — | 9 | 3 | no | — |
| 314 | C42 | — | 9 | 3 | no | — |
| 315 | C42 | — | 9 | 3 | no | — |
| 316 | C42 | — | 9 | 6 | no | — |
| 317 | C42 | C22×C3⋊D3 | 1 | 3 | yes | — |
| 318 | C22×C3 | — | 2 | 24 | no | — |
| 319 | C22×C3 | — | 2 | 24 | no | — |
| 320 | C22×C3 | — | 2 | 24 | no | — |
| 321 | C22×C3 | C24×D3 | 1 | 4 | yes | — |
| 322 | C2×D3 | — | 3 | 8 | no | — |
| 323 | C2×D3 | — | 6 | 4 | no | — |
| 324 | C2×D3 | — | 6 | 4 | no | — |
| 325 | C3×C4 | — | 2 | 8 | no | — |
| 326 | C3×C4 | — | 2 | 12 | no | — |
| 327 | C3×C4 | C2×#237 | 1 | 24 | yes | — |
| 328 | C3×C4 | #1010 | 1 | 8 | yes | — |
| 329 | Dic3 | — | 6 | 12 | no | — |
| 330 | Dic3 | — | 6 | 8 | no | — |
| 331 | Dic3 | — | 6 | 4 | no | — |
| 332 | Dic3 | — | 6 | 24 | no | — |
| 333 | Dic3 | — | 6 | 12 | no | — |
| 334 | C32 | #3522 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 335 | C23 | — | 9 | 1 | no | — |
| 336 | C23 | C23×C3⋊D3 | 1 | 6 | yes | — |
| 337 | Q8 | — | 18 | 6 | no | — |
| 338 | Q8 | — | 18 | 2 | no | — |
| 339 | Q8 | — | 36 | 6 | no | — |
| 340 | Q8 | #3830 | 1 | 4 | yes | complemented |
| 341 | D4 | — | 2 | 12 | no | — |
| 342 | D4 | — | 2 | 6 | no | — |
| 343 | D4 | — | 4 | 6 | no | — |
| 344 | D4 | — | 18 | 12 | no | — |
| 345 | C2×C4 | — | 2 | 12 | no | — |
| 346 | C2×C4 | — | 9 | 1 | no | — |
| 347 | C2×C4 | — | 9 | 2 | no | — |
| 348 | C2×C4 | — | 9 | 3 | no | — |
| 349 | C2×C4 | — | 9 | 3 | no | — |
| 350 | C2×C4 | — | 9 | 6 | no | — |
| 351 | C2×C4 | — | 18 | 6 | no | — |
| 352 | C2×C4 | — | 18 | 6 | no | — |
| 353 | C2×C4 | — | 18 | 2 | no | — |
| 354 | C2×C4 | — | 36 | 12 | no | — |
| 355 | C2×C4 | C23×C3⋊D3 | 1 | 3 | yes | — |
| 356 | C2×C4 | C23×C3⋊D3 | 1 | 2 | yes | — |
| 357 | C2×C4 | C23×C3⋊D3 | 1 | 3 | yes | — |
| 358 | C2×C4 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 359 | C2×C3 | — | 4 | 24 | no | — |
| 360 | C2×C3 | C22×#237 | 1 | 4 | yes | — |
| 361 | C2×C3 | C2×#1010 | 1 | 4 | yes | — |
| 362 | C2×C3 | D3×H(5,𝔽2) | 1 | 4 | yes | — |
| 363 | D3 | — | 6 | 8 | no | — |
| 364 | C22 | — | 2 | 6 | no | — |
| 365 | C22 | — | 2 | 6 | no | — |
| 366 | C22 | — | 2 | 6 | no | — |
| 367 | C22 | — | 9 | 2 | no | — |
| 368 | C22 | — | 18 | 1 | no | — |
| 369 | C22 | — | 18 | 1 | no | — |
| 370 | C22 | C24×C3⋊D3 | 1 | 1 | yes | characteristic |
| 371 | C4 | — | 2 | 2 | no | — |
| 372 | C4 | — | 2 | 3 | no | — |
| 373 | C4 | — | 18 | 3 | no | — |
| 374 | C4 | — | 18 | 1 | no | — |
| 375 | C4 | — | 18 | 2 | no | — |
| 376 | C4 | — | 18 | 3 | no | — |
| 377 | C4 | — | 18 | 6 | no | — |
| 378 | C4 | C2×#3830 | 1 | 6 | yes | — |
| 379 | C4 | #64367 | 1 | 2 | yes | — |
| 380 | C3 | #86776 | 1 | 4 | yes | complemented |
| 381 | C2 | — | 4 | 6 | no | — |
| 382 | C2 | — | 18 | 2 | no | — |
| 383 | C2 | C22×#3830 | 1 | 1 | yes | characteristic |
| 384 | C2 | C2×#64367 | 1 | 1 | yes | characteristic |
| 385 | C2 | C3⋊D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta