Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1548 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 1548 conjugacy classes of subgroups — too many to draw. Only its 198 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 | #10596760 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #41×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596648 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10593842 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #10593839 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10593831 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×#63785 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C32×2−1+4 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | #64366 | — | 2 | 3 | no | — |
| 10 | #64366 | C4 | 1 | 3 | yes | complemented |
| 11 | #64366 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #41×C3⋊D3 | — | 2 | 3 | no | — |
| 13 | #41×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 14 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 15 | #64364 | — | 2 | 1 | no | — |
| 16 | #64364 | C4 | 1 | 3 | yes | complemented |
| 17 | C2×#3832 | — | 2 | 1 | no | — |
| 18 | C2×#3832 | C22 | 1 | 3 | yes | — |
| 19 | Q8×#157 | — | 2 | 1 | no | — |
| 20 | #64289 | — | 2 | 1 | no | — |
| 21 | D4×#157 | — | 2 | 3 | no | — |
| 22 | #64287 | — | 2 | 3 | no | — |
| 23 | #64286 | C22 | 1 | 3 | yes | complemented |
| 24 | C2×C4×#157 | C22 | 1 | 3 | yes | complemented |
| 25 | #64283 | C22 | 1 | 3 | yes | complemented |
| 26 | C2×#3788 | C22 | 1 | 3 | yes | complemented |
| 27 | #63785 | C22 | 1 | 3 | yes | complemented |
| 28 | #63785 | C22 | 1 | 6 | yes | complemented |
| 29 | #63785 | C22 | 1 | 3 | yes | complemented |
| 30 | #63783 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #63783 | C22 | 1 | 3 | yes | complemented |
| 32 | #5968 | — | 6 | 2 | no | — |
| 33 | C22×#157 | — | 2 | 3 | no | — |
| 34 | C32×#41 | — | 2 | 3 | no | — |
| 35 | C32×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C32×#41 | C2×C4 | 1 | 3 | yes | complemented |
| 37 | C2×C32×Q8 | — | 2 | 1 | no | — |
| 38 | C2×C32×Q8 | C2×C4 | 1 | 3 | yes | complemented |
| 39 | #3832 | — | 2 | 1 | no | — |
| 40 | #3832 | — | 2 | 3 | no | — |
| 41 | #3832 | — | 2 | 3 | no | — |
| 42 | #3832 | — | 2 | 3 | no | — |
| 43 | #3832 | C2×C4 | 1 | 6 | yes | complemented |
| 44 | #3832 | D4 | 1 | 1 | yes | characteristic |
| 45 | #3832 | C23 | 1 | 3 | yes | — |
| 46 | Q8×C3⋊D3 | — | 2 | 3 | no | — |
| 47 | Q8×C3⋊D3 | C2×C4 | 1 | 3 | yes | complemented |
| 48 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 49 | #3830 | — | 2 | 3 | no | — |
| 50 | #3830 | D4 | 1 | 3 | yes | — |
| 51 | #3830 | C23 | 1 | 1 | yes | characteristic |
| 52 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 53 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 54 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 55 | D4×C3⋊D3 | C2×C4 | 1 | 3 | yes | complemented |
| 56 | D4×C3⋊D3 | D4 | 1 | 3 | yes | — |
| 57 | #3828 | — | 2 | 6 | no | — |
| 58 | #3828 | — | 2 | 3 | no | — |
| 59 | #3828 | — | 2 | 3 | no | — |
| 60 | #3828 | C2×C4 | 1 | 3 | yes | — |
| 61 | #3828 | C2×C4 | 1 | 3 | yes | complemented |
| 62 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 63 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 64 | C2×C4⋊(C3⋊D3) | C2×C4 | 1 | 3 | yes | complemented |
| 65 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 66 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 67 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 68 | C22⋊#157 | — | 2 | 3 | no | — |
| 69 | #3792 | — | 2 | 3 | no | — |
| 70 | C2×#622 | — | 2 | 3 | no | — |
| 71 | C4⋊#157 | — | 2 | 3 | no | — |
| 72 | C4×#157 | — | 2 | 3 | no | — |
| 73 | C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4×#157 | C23 | 1 | 3 | yes | — |
| 75 | #3788 | — | 2 | 3 | no | — |
| 76 | #3788 | C23 | 1 | 3 | yes | — |
| 77 | #3788 | C23 | 1 | 1 | yes | characteristic |
| 78 | #3787 | — | 2 | 3 | no | — |
| 79 | #2901 | — | 9 | 1 | no | maximal, Sylow |
| 80 | C3×2−1+4 | — | 2 | 2 | no | — |
| 81 | #1009 | — | 6 | 2 | no | — |
| 82 | #1009 | — | 6 | 6 | no | — |
| 83 | #1009 | — | 6 | 12 | no | — |
| 84 | D3×#41 | — | 6 | 2 | no | — |
| 85 | D3×#41 | — | 6 | 6 | no | — |
| 86 | D3×#41 | — | 6 | 12 | no | — |
| 87 | #1007 | — | 6 | 6 | no | — |
| 88 | #1007 | — | 6 | 4 | no | — |
| 89 | C2×#239 | — | 6 | 6 | no | — |
| 90 | C2×#239 | — | 6 | 4 | no | — |
| 91 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 92 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 93 | C22×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 94 | C2×#157 | — | 2 | 1 | no | — |
| 95 | C2×#157 | — | 2 | 3 | no | — |
| 96 | C2×#157 | — | 4 | 6 | no | — |
| 97 | C32×Q8 | — | 2 | 3 | no | — |
| 98 | C32×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 99 | C32×Q8 | C22×C4 | 1 | 3 | yes | — |
| 100 | C32×D4 | — | 2 | 3 | no | — |
| 101 | C32×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 102 | C32×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C32×C4 | — | 2 | 3 | no | — |
| 104 | C2×C32×C4 | — | 2 | 3 | no | — |
| 105 | C2×C32×C4 | C22×C4 | 1 | 3 | yes | — |
| 106 | #638 | — | 2 | 3 | no | — |
| 107 | #638 | — | 2 | 1 | no | — |
| 108 | #638 | — | 2 | 3 | no | — |
| 109 | #638 | C22⋊C4 | 1 | 6 | yes | — |
| 110 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 111 | C2×C3⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 112 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 113 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 114 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 115 | C4⋊(C3⋊D3) | C22⋊C4 | 1 | 3 | yes | — |
| 116 | C4⋊(C3⋊D3) | C22×C4 | 1 | 3 | yes | — |
| 117 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 118 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 119 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 120 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 121 | C4×C3⋊D3 | C22×C4 | 1 | 3 | yes | — |
| 122 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 123 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 124 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 125 | #634 | — | 2 | 3 | no | — |
| 126 | #634 | C22⋊C4 | 1 | 3 | yes | — |
| 127 | #634 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | #622 | — | 2 | 1 | no | — |
| 129 | #622 | — | 2 | 3 | no | — |
| 130 | #585 | — | 9 | 1 | no | — |
| 131 | #568 | — | 9 | 1 | no | — |
| 132 | C4×#41 | — | 9 | 1 | no | — |
| 133 | #421 | — | 9 | 3 | no | — |
| 134 | #421 | — | 9 | 3 | no | — |
| 135 | C2×#104 | — | 9 | 3 | no | — |
| 136 | C2×#104 | — | 9 | 3 | no | — |
| 137 | C3×#41 | — | 2 | 12 | no | — |
| 138 | C3×#41 | — | 2 | 2 | no | — |
| 139 | C3×#41 | — | 2 | 6 | no | — |
| 140 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 141 | C2×C3×Q8 | — | 2 | 6 | no | — |
| 142 | #239 | — | 6 | 2 | no | — |
| 143 | #239 | — | 6 | 6 | no | — |
| 144 | #239 | — | 6 | 12 | no | — |
| 145 | #239 | — | 6 | 12 | no | — |
| 146 | #239 | — | 6 | 12 | no | — |
| 147 | #239 | — | 6 | 12 | no | — |
| 148 | #239 | — | 6 | 4 | no | — |
| 149 | D3×Q8 | — | 6 | 6 | no | — |
| 150 | D3×Q8 | — | 6 | 2 | no | — |
| 151 | D3×Q8 | — | 6 | 12 | no | — |
| 152 | #237 | — | 6 | 6 | no | — |
| 153 | #237 | — | 6 | 2 | no | — |
| 154 | #237 | — | 6 | 12 | no | — |
| 155 | D3×D4 | — | 6 | 6 | no | — |
| 156 | D3×D4 | — | 6 | 6 | no | — |
| 157 | D3×D4 | — | 6 | 24 | no | — |
| 158 | D3×D4 | — | 6 | 12 | no | — |
| 159 | D3×D4 | — | 6 | 12 | no | — |
| 160 | #235 | — | 6 | 6 | no | — |
| 161 | #235 | — | 6 | 6 | no | — |
| 162 | #235 | — | 6 | 12 | no | — |
| 163 | #235 | — | 6 | 24 | no | — |
| 164 | #235 | — | 6 | 12 | no | — |
| 165 | C2×D12 | — | 6 | 6 | no | — |
| 166 | C2×D12 | — | 6 | 12 | no | — |
| 167 | C2×D12 | — | 6 | 12 | no | — |
| 168 | C2×C4×D3 | — | 6 | 6 | no | — |
| 169 | C2×C4×D3 | — | 6 | 12 | no | — |
| 170 | C2×C4×D3 | — | 6 | 12 | no | — |
| 171 | C22×C32 | — | 2 | 1 | no | — |
| 172 | C22×C32 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 173 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 174 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 175 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 176 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 177 | C2×C3⋊D3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 178 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 179 | #157 | — | 2 | 2 | no | — |
| 180 | #157 | — | 4 | 3 | no | — |
| 181 | C32×C4 | — | 2 | 3 | no | — |
| 182 | C32×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 183 | C32×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 184 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 185 | C3⋊Dic3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 186 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 187 | 2−1+4 | — | 9 | 3 | no | — |
| 188 | 2−1+4 | — | 18 | 1 | no | — |
| 189 | 2−1+4 | #157 | 1 | 1 | yes | characteristic, complemented |
| 190 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 191 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 192 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 193 | C2×#41 | — | 9 | 1 | no | — |
| 194 | C2×#41 | — | 9 | 3 | no | — |
| 195 | C2×#41 | — | 9 | 3 | no | — |
| 196 | C2×#41 | — | 18 | 1 | no | — |
| 197 | C2×#41 | — | 18 | 3 | no | — |
| 198 | #131 | — | 18 | 3 | no | — |
| 199 | #131 | — | 18 | 1 | no | — |
| 200 | C2×M16 | — | 9 | 3 | no | — |
| 201 | C2×M16 | — | 9 | 3 | no | — |
| 202 | C4×Q8 | — | 18 | 1 | no | — |
| 203 | C4×D4 | — | 18 | 3 | no | — |
| 204 | #117 | — | 9 | 3 | no | — |
| 205 | C2×C42 | — | 9 | 3 | no | — |
| 206 | #104 | — | 9 | 1 | no | — |
| 207 | #104 | — | 9 | 3 | no | — |
| 208 | #104 | — | 9 | 3 | no | — |
| 209 | #104 | — | 9 | 6 | no | — |
| 210 | #104 | — | 9 | 3 | no | — |
| 211 | C22×D3 | — | 6 | 6 | no | — |
| 212 | C22×D3 | — | 6 | 12 | no | — |
| 213 | C22×D3 | — | 6 | 12 | no | — |
| 214 | C3×Q8 | — | 2 | 12 | no | — |
| 215 | C3×Q8 | — | 2 | 6 | no | — |
| 216 | C3×Q8 | — | 2 | 2 | no | — |
| 217 | C3×D4 | — | 2 | 12 | no | — |
| 218 | C3×D4 | — | 2 | 2 | no | — |
| 219 | C3×D4 | — | 2 | 6 | no | — |
| 220 | C2×C3×C4 | — | 2 | 12 | no | — |
| 221 | C2×C3×C4 | — | 2 | 12 | no | — |
| 222 | C2×C3×C4 | — | 2 | 6 | no | — |
| 223 | #67 | — | 6 | 12 | no | — |
| 224 | #67 | — | 6 | 12 | no | — |
| 225 | #67 | — | 6 | 4 | no | — |
| 226 | #67 | — | 6 | 12 | no | — |
| 227 | C2×Dic3 | — | 6 | 6 | no | — |
| 228 | C2×Dic3 | — | 6 | 4 | no | — |
| 229 | D12 | — | 6 | 6 | no | — |
| 230 | D12 | — | 6 | 6 | no | — |
| 231 | D12 | — | 6 | 24 | no | — |
| 232 | D12 | — | 6 | 12 | no | — |
| 233 | D12 | — | 6 | 12 | no | — |
| 234 | C4×D3 | — | 6 | 6 | no | — |
| 235 | C4×D3 | — | 6 | 6 | no | — |
| 236 | C4×D3 | — | 6 | 6 | no | — |
| 237 | C4×D3 | — | 6 | 2 | no | — |
| 238 | C4×D3 | — | 6 | 12 | no | — |
| 239 | C4×D3 | — | 6 | 24 | no | — |
| 240 | C4×D3 | — | 6 | 12 | no | — |
| 241 | C4×D3 | — | 6 | 12 | no | — |
| 242 | Dic6 | — | 6 | 6 | no | — |
| 243 | Dic6 | — | 6 | 2 | no | — |
| 244 | Dic6 | — | 6 | 12 | no | — |
| 245 | C2×C32 | — | 2 | 3 | no | — |
| 246 | C2×C32 | — | 4 | 1 | no | — |
| 247 | C2×C32 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 248 | C3⋊D3 | — | 2 | 1 | no | — |
| 249 | C3⋊D3 | — | 2 | 3 | no | — |
| 250 | C3⋊D3 | — | 4 | 3 | no | — |
| 251 | #41 | — | 2 | 3 | no | — |
| 252 | #41 | — | 9 | 1 | no | — |
| 253 | #41 | — | 9 | 3 | no | — |
| 254 | #41 | — | 9 | 3 | no | — |
| 255 | #41 | — | 9 | 3 | no | — |
| 256 | #41 | — | 9 | 6 | no | — |
| 257 | #41 | — | 9 | 1 | no | — |
| 258 | #41 | — | 9 | 3 | no | — |
| 259 | #41 | — | 18 | 3 | no | — |
| 260 | #41 | — | 18 | 6 | no | — |
| 261 | #41 | — | 18 | 3 | no | — |
| 262 | #41 | — | 18 | 3 | no | — |
| 263 | #41 | — | 18 | 3 | no | — |
| 264 | #41 | — | 18 | 3 | no | — |
| 265 | #41 | — | 18 | 3 | no | — |
| 266 | #41 | — | 18 | 1 | no | — |
| 267 | #41 | C2×#157 | 1 | 1 | yes | characteristic |
| 268 | #41 | C2×#157 | 1 | 3 | yes | complemented |
| 269 | C2×Q8 | — | 2 | 1 | no | — |
| 270 | C2×Q8 | — | 9 | 1 | no | — |
| 271 | C2×Q8 | — | 9 | 3 | no | — |
| 272 | C2×Q8 | — | 18 | 3 | no | — |
| 273 | C2×Q8 | C2×#157 | 1 | 3 | yes | complemented |
| 274 | C2×D4 | — | 9 | 3 | no | — |
| 275 | C2×D4 | — | 9 | 3 | no | — |
| 276 | C2×D4 | — | 9 | 3 | no | — |
| 277 | C2×D4 | — | 18 | 3 | no | — |
| 278 | C2×D4 | — | 18 | 3 | no | — |
| 279 | C2×D4 | — | 18 | 6 | no | — |
| 280 | C2×D4 | — | 18 | 3 | no | — |
| 281 | C2×D4 | — | 18 | 3 | no | — |
| 282 | C22×C4 | — | 9 | 3 | no | — |
| 283 | C22×C4 | — | 18 | 3 | no | — |
| 284 | C22×C4 | — | 18 | 3 | no | — |
| 285 | C22×C4 | — | 18 | 3 | no | — |
| 286 | M16 | — | 9 | 1 | no | — |
| 287 | M16 | — | 9 | 3 | no | — |
| 288 | M16 | — | 18 | 3 | no | — |
| 289 | M16 | — | 18 | 3 | no | — |
| 290 | C2×C8 | — | 18 | 3 | no | — |
| 291 | C2×C8 | — | 18 | 3 | no | — |
| 292 | C4⋊C4 | — | 18 | 3 | no | — |
| 293 | C22⋊C4 | — | 18 | 3 | no | — |
| 294 | C42 | — | 9 | 1 | no | — |
| 295 | C42 | — | 9 | 3 | no | — |
| 296 | C42 | — | 18 | 3 | no | — |
| 297 | C22×C3 | — | 2 | 4 | no | — |
| 298 | C22×C3 | — | 2 | 6 | no | — |
| 299 | C2×D3 | — | 6 | 6 | no | — |
| 300 | C2×D3 | — | 6 | 2 | no | — |
| 301 | C2×D3 | — | 6 | 12 | no | — |
| 302 | C2×D3 | — | 24 | 6 | no | — |
| 303 | C2×D3 | — | 24 | 12 | no | — |
| 304 | C2×D3 | — | 24 | 12 | no | — |
| 305 | C3×C4 | — | 2 | 12 | no | — |
| 306 | C3×C4 | — | 2 | 6 | no | — |
| 307 | C3×C4 | — | 2 | 2 | no | — |
| 308 | Dic3 | — | 6 | 6 | no | — |
| 309 | Dic3 | — | 6 | 2 | no | — |
| 310 | Dic3 | — | 6 | 4 | no | — |
| 311 | C32 | #2901 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 312 | C23 | — | 9 | 3 | no | — |
| 313 | C23 | — | 18 | 3 | no | — |
| 314 | C23 | — | 18 | 3 | no | — |
| 315 | Q8 | — | 2 | 3 | no | — |
| 316 | Q8 | — | 9 | 3 | no | — |
| 317 | Q8 | — | 9 | 1 | no | — |
| 318 | Q8 | — | 18 | 3 | no | — |
| 319 | Q8 | C22⋊#157 | 1 | 1 | yes | characteristic |
| 320 | Q8 | C22×#157 | 1 | 3 | yes | — |
| 321 | D4 | — | 2 | 3 | no | — |
| 322 | D4 | — | 9 | 6 | no | — |
| 323 | D4 | — | 9 | 3 | no | — |
| 324 | D4 | — | 9 | 3 | no | — |
| 325 | D4 | — | 18 | 3 | no | — |
| 326 | D4 | — | 18 | 6 | no | — |
| 327 | D4 | — | 18 | 3 | no | — |
| 328 | D4 | — | 18 | 1 | no | — |
| 329 | D4 | — | 18 | 3 | no | — |
| 330 | D4 | — | 18 | 3 | no | — |
| 331 | D4 | C22⋊#157 | 1 | 3 | yes | — |
| 332 | D4 | C22×#157 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | — | 2 | 3 | no | — |
| 334 | C2×C4 | — | 2 | 3 | no | — |
| 335 | C2×C4 | — | 9 | 3 | no | — |
| 336 | C2×C4 | — | 9 | 3 | no | — |
| 337 | C2×C4 | — | 9 | 3 | no | — |
| 338 | C2×C4 | — | 9 | 1 | no | — |
| 339 | C2×C4 | — | 9 | 3 | no | — |
| 340 | C2×C4 | — | 18 | 3 | no | — |
| 341 | C2×C4 | — | 18 | 6 | no | — |
| 342 | C2×C4 | — | 18 | 3 | no | — |
| 343 | C2×C4 | — | 18 | 1 | no | — |
| 344 | C2×C4 | — | 18 | 1 | no | — |
| 345 | C2×C4 | — | 18 | 3 | no | — |
| 346 | C2×C4 | — | 18 | 3 | no | — |
| 347 | C2×C4 | — | 36 | 6 | no | — |
| 348 | C2×C4 | C22×#157 | 1 | 3 | yes | — |
| 349 | C8 | — | 18 | 1 | no | — |
| 350 | C8 | — | 18 | 3 | no | — |
| 351 | C2×C3 | — | 2 | 2 | no | — |
| 352 | C2×C3 | — | 4 | 6 | no | — |
| 353 | C2×C3 | — | 4 | 4 | no | — |
| 354 | D3 | — | 12 | 2 | no | — |
| 355 | D3 | — | 12 | 6 | no | — |
| 356 | D3 | — | 12 | 12 | no | — |
| 357 | C22 | — | 2 | 1 | no | — |
| 358 | C22 | — | 9 | 1 | no | — |
| 359 | C22 | — | 9 | 3 | no | — |
| 360 | C22 | — | 18 | 3 | no | — |
| 361 | C22 | — | 36 | 3 | no | — |
| 362 | C22 | — | 72 | 3 | no | — |
| 363 | C22 | — | 72 | 3 | no | — |
| 364 | C22 | C2×C22⋊#157 | 1 | 3 | yes | — |
| 365 | C4 | — | 2 | 3 | no | — |
| 366 | C4 | — | 9 | 1 | no | — |
| 367 | C4 | — | 9 | 3 | no | — |
| 368 | C4 | — | 18 | 2 | no | — |
| 369 | C4 | — | 18 | 1 | no | — |
| 370 | C4 | — | 36 | 3 | no | — |
| 371 | C4 | C2×C22⋊#157 | 1 | 3 | yes | — |
| 372 | C4 | C23×#157 | 1 | 1 | yes | characteristic |
| 373 | C3 | — | 2 | 2 | no | — |
| 374 | C2 | — | 2 | 3 | no | — |
| 375 | C2 | — | 4 | 1 | no | — |
| 376 | C2 | — | 18 | 1 | no | — |
| 377 | C2 | — | 18 | 3 | no | — |
| 378 | C2 | — | 36 | 3 | no | — |
| 379 | C2 | C22×C22⋊#157 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #41×#157 | C2 | semidirect |
| 3. #10596648 | C2 | semidirect |
| 4. #10593842 | C2 | semidirect |
| 5. #10593839 | C2 | semidirect |
| 6. #10593831 | C2 | semidirect |
| 7. C2×#63785 | C2 | semidirect |
| 8. C32×2−1+4 | C4 | semidirect |
| 10. #64366 | C4 | semidirect |
| 11. #64366 | C4 | semidirect |
| 16. #64364 | C4 | semidirect |
| 23. #64286 | C22 | semidirect |
| 24. C2×C4×#157 | C22 | semidirect |
| 25. #64283 | C22 | semidirect |
| 26. C2×#3788 | C22 | semidirect |
| 27. #63785 | C22 | semidirect |
| 28. #63785 | C22 | semidirect |
| 29. #63785 | C22 | semidirect |
| 30. #63783 | C22 | semidirect |
| 31. #63783 | C22 | semidirect |
| 36. C32×#41 | C2×C4 | semidirect |
| 38. C2×C32×Q8 | C2×C4 | semidirect |
| 43. #3832 | C2×C4 | semidirect |
| 47. Q8×C3⋊D3 | C2×C4 | semidirect |
| 55. D4×C3⋊D3 | C2×C4 | semidirect |
| 61. #3828 | C2×C4 | semidirect |
| 64. C2×C4⋊(C3⋊D3) | C2×C4 | semidirect |
| 189. 2−1+4 | #157 | semidirect |
| 268. #41 | C2×#157 | semidirect |
| 273. C2×Q8 | C2×#157 | semidirect |
| 311. C32 | #2901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596760 | 2 |
| #41×#157 | 2 |
| #10596648 | 2 |
| #10593842 | 2 |
| #10593839 | 2 |
| #10593831 | 2 |
| C2×#63785 | 2 |
| #2901 | 9 |