Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1272 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 1272 conjugacy classes of subgroups — too many to draw. Only its 187 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 | #10596695 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #41×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10593325 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #10593324 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10593323 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×#63731 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 9 | C3×D3×#41 | — | 2 | 1 | no | — |
| 10 | #64320 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #64316 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #64315 | — | 2 | 1 | no | — |
| 13 | #64314 | — | 2 | 3 | no | — |
| 14 | #64313 | C4 | 1 | 3 | yes | complemented |
| 15 | #64309 | C4 | 1 | 3 | yes | complemented |
| 16 | #64306 | C22 | 1 | 3 | yes | — |
| 17 | D3×#235 | — | 2 | 3 | no | — |
| 18 | C2×#3798 | C22 | 1 | 3 | yes | — |
| 19 | Q8×#157 | — | 2 | 1 | no | — |
| 20 | D4×#157 | — | 2 | 3 | no | — |
| 21 | #64286 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×C4×#157 | C22 | 1 | 3 | yes | complemented |
| 23 | C3×#948 | — | 2 | 1 | no | — |
| 24 | C2×#3712 | C22 | 1 | 3 | yes | complemented |
| 25 | #63818 | C22 | 1 | 3 | yes | complemented |
| 26 | #63817 | — | 2 | 3 | no | — |
| 27 | #63731 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #63731 | C22 | 1 | 3 | yes | complemented |
| 29 | #63731 | C22 | 1 | 3 | yes | complemented |
| 30 | #63731 | C22 | 1 | 3 | yes | complemented |
| 31 | #63731 | C22 | 1 | 6 | yes | complemented |
| 32 | #5964 | — | 6 | 1 | no | — |
| 33 | #5750 | — | 6 | 1 | no | — |
| 34 | C22×#157 | — | 2 | 3 | no | — |
| 35 | C32×#41 | D4 | 1 | 1 | yes | characteristic |
| 36 | #3832 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 38 | #3830 | C2×C4 | 1 | 3 | yes | — |
| 39 | D4×C3⋊D3 | D4 | 1 | 3 | yes | — |
| 40 | #3828 | D4 | 1 | 3 | yes | — |
| 41 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 42 | C3×#239 | — | 2 | 1 | no | — |
| 43 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 44 | C3×#237 | — | 2 | 3 | no | — |
| 45 | C3×D3×D4 | — | 2 | 3 | no | — |
| 46 | C3×#235 | — | 2 | 3 | no | — |
| 47 | C2×C3×C4×D3 | — | 2 | 3 | no | — |
| 48 | #3811 | — | 2 | 3 | no | — |
| 49 | D3×#67 | — | 2 | 6 | no | — |
| 50 | C2×#627 | C2×C4 | 1 | 3 | yes | complemented |
| 51 | C2×#626 | — | 2 | 3 | no | — |
| 52 | C2×#625 | C2×C4 | 1 | 3 | yes | complemented |
| 53 | #3805 | C2×C4 | 1 | 6 | yes | complemented |
| 54 | #3804 | — | 2 | 6 | no | — |
| 55 | #3802 | C2×C4 | 1 | 3 | yes | complemented |
| 56 | D3×D12 | — | 2 | 3 | no | — |
| 57 | C4×D32 | — | 2 | 3 | no | — |
| 58 | #3799 | — | 2 | 3 | no | — |
| 59 | #3798 | — | 2 | 3 | no | — |
| 60 | #3798 | — | 2 | 3 | no | — |
| 61 | #3798 | C2×C4 | 1 | 3 | yes | complemented |
| 62 | #3798 | C2×C4 | 1 | 3 | yes | complemented |
| 63 | #3798 | C23 | 1 | 1 | yes | characteristic |
| 64 | #3798 | C23 | 1 | 3 | yes | — |
| 65 | #3797 | C2×C4 | 1 | 3 | yes | complemented |
| 66 | #3796 | — | 2 | 3 | no | — |
| 67 | #3795 | — | 2 | 3 | no | — |
| 68 | D3×Dic6 | — | 2 | 3 | no | — |
| 69 | C22⋊#157 | — | 2 | 3 | no | — |
| 70 | C4⋊#157 | — | 2 | 3 | no | — |
| 71 | C4×#157 | — | 2 | 3 | no | — |
| 72 | C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4×#157 | C23 | 1 | 3 | yes | — |
| 74 | C3×#208 | — | 2 | 3 | no | — |
| 75 | C2×C3×C3⋊C8 | — | 2 | 3 | no | — |
| 76 | #3712 | — | 2 | 3 | no | — |
| 77 | #3712 | C23 | 1 | 3 | yes | — |
| 78 | #3712 | C23 | 1 | 1 | yes | characteristic |
| 79 | #3710 | — | 2 | 3 | no | — |
| 80 | #2901 | — | 9 | 1 | no | maximal, Sylow |
| 81 | C2×C3×#41 | — | 6 | 1 | no | — |
| 82 | #1010 | — | 6 | 3 | no | — |
| 83 | #1010 | — | 6 | 1 | no | — |
| 84 | #1009 | — | 6 | 1 | no | — |
| 85 | #1009 | — | 6 | 3 | no | — |
| 86 | D3×#41 | — | 2 | 1 | no | — |
| 87 | D3×#41 | — | 6 | 3 | no | — |
| 88 | D3×#41 | — | 6 | 1 | no | — |
| 89 | D3×#41 | — | 6 | 1 | no | — |
| 90 | D3×#41 | — | 6 | 3 | no | — |
| 91 | #1007 | — | 6 | 1 | no | — |
| 92 | #1007 | — | 6 | 1 | no | — |
| 93 | #1004 | — | 6 | 3 | no | — |
| 94 | #1004 | — | 6 | 3 | no | — |
| 95 | C2×#235 | — | 6 | 3 | no | — |
| 96 | C2×#235 | — | 6 | 3 | no | — |
| 97 | C3×#131 | — | 6 | 1 | no | — |
| 98 | #948 | — | 2 | 1 | no | — |
| 99 | #907 | — | 6 | 3 | no | — |
| 100 | D3×M16 | — | 6 | 3 | no | — |
| 101 | #901 | — | 6 | 3 | no | — |
| 102 | C2×ΓL(1,𝔽25) | — | 6 | 3 | no | — |
| 103 | C22×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 104 | C22×C3×D3 | — | 2 | 3 | no | — |
| 105 | C2×D32 | — | 2 | 3 | no | — |
| 106 | C2×#157 | — | 2 | 1 | no | — |
| 107 | C2×#157 | — | 2 | 3 | no | — |
| 108 | C2×#157 | — | 4 | 6 | no | — |
| 109 | C32×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 110 | C32×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 111 | C2×C32×C4 | C2×D4 | 1 | 3 | yes | — |
| 112 | #638 | C22⋊C4 | 1 | 6 | yes | — |
| 113 | C2×C3⋊Dic3 | C22×C4 | 1 | 3 | yes | — |
| 114 | C4⋊(C3⋊D3) | C22⋊C4 | 1 | 3 | yes | — |
| 115 | C4×C3⋊D3 | C22×C4 | 1 | 3 | yes | — |
| 116 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 117 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 118 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 119 | #634 | C22⋊C4 | 1 | 3 | yes | — |
| 120 | C3×#67 | — | 2 | 6 | no | — |
| 121 | C2×C3×Dic3 | — | 2 | 3 | no | — |
| 122 | C3×D12 | — | 2 | 3 | no | — |
| 123 | C3×C4×D3 | — | 2 | 3 | no | — |
| 124 | C3×C4×D3 | — | 2 | 3 | no | — |
| 125 | C3×C4×D3 | — | 2 | 1 | no | — |
| 126 | C3×C4×D3 | — | 2 | 3 | no | — |
| 127 | C3×Dic6 | — | 2 | 3 | no | — |
| 128 | #627 | — | 2 | 3 | no | — |
| 129 | #627 | C22×C4 | 1 | 3 | yes | — |
| 130 | #627 | C22×C4 | 1 | 1 | yes | characteristic |
| 131 | #626 | — | 2 | 3 | no | — |
| 132 | #626 | — | 2 | 3 | no | — |
| 133 | #626 | — | 2 | 3 | no | — |
| 134 | #626 | — | 2 | 1 | no | — |
| 135 | #625 | — | 2 | 3 | no | — |
| 136 | #625 | C22×C4 | 1 | 1 | yes | characteristic |
| 137 | #625 | C22×C4 | 1 | 3 | yes | — |
| 138 | #624 | — | 2 | 3 | no | — |
| 139 | D3×Dic3 | — | 2 | 6 | no | — |
| 140 | C3×C3⋊C8 | — | 2 | 3 | no | — |
| 141 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 142 | #585 | — | 9 | 1 | no | — |
| 143 | #568 | — | 9 | 1 | no | — |
| 144 | C4×#41 | — | 9 | 1 | no | — |
| 145 | #421 | — | 9 | 3 | no | — |
| 146 | #421 | — | 9 | 3 | no | — |
| 147 | C2×#104 | — | 9 | 3 | no | — |
| 148 | C2×#104 | — | 9 | 3 | no | — |
| 149 | C3×#41 | — | 2 | 1 | no | — |
| 150 | C3×#41 | — | 2 | 1 | no | — |
| 151 | C3×#41 | — | 6 | 3 | no | — |
| 152 | C3×#41 | — | 6 | 3 | no | — |
| 153 | C3×#41 | — | 6 | 1 | no | — |
| 154 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 155 | C2×C3×D4 | — | 6 | 3 | no | — |
| 156 | C22×C3×C4 | — | 6 | 3 | no | — |
| 157 | C2×#67 | — | 6 | 3 | no | — |
| 158 | C2×#67 | — | 6 | 3 | no | — |
| 159 | C2×#67 | — | 6 | 6 | no | — |
| 160 | #239 | — | 2 | 1 | no | — |
| 161 | #239 | — | 6 | 1 | no | — |
| 162 | #239 | — | 6 | 1 | no | — |
| 163 | #239 | — | 6 | 3 | no | — |
| 164 | #239 | — | 6 | 3 | no | — |
| 165 | D3×Q8 | — | 2 | 1 | no | — |
| 166 | D3×Q8 | — | 6 | 3 | no | — |
| 167 | D3×Q8 | — | 6 | 1 | no | — |
| 168 | D3×Q8 | — | 6 | 1 | no | — |
| 169 | D3×Q8 | — | 6 | 3 | no | — |
| 170 | #237 | — | 2 | 3 | no | — |
| 171 | #237 | — | 6 | 6 | no | — |
| 172 | #237 | — | 6 | 3 | no | — |
| 173 | #237 | — | 6 | 3 | no | — |
| 174 | #237 | — | 6 | 3 | no | — |
| 175 | #237 | — | 6 | 3 | no | — |
| 176 | #237 | — | 6 | 6 | no | — |
| 177 | D3×D4 | — | 2 | 3 | no | — |
| 178 | D3×D4 | — | 6 | 3 | no | — |
| 179 | D3×D4 | — | 6 | 3 | no | — |
| 180 | D3×D4 | — | 6 | 3 | no | — |
| 181 | D3×D4 | — | 6 | 3 | no | — |
| 182 | D3×D4 | — | 6 | 6 | no | — |
| 183 | D3×D4 | — | 6 | 6 | no | — |
| 184 | #235 | — | 2 | 3 | no | — |
| 185 | #235 | — | 6 | 3 | no | — |
| 186 | #235 | — | 6 | 3 | no | — |
| 187 | #235 | — | 6 | 1 | no | — |
| 188 | #235 | — | 6 | 3 | no | — |
| 189 | #235 | — | 6 | 3 | no | — |
| 190 | #235 | — | 6 | 3 | no | — |
| 191 | #235 | — | 6 | 3 | no | — |
| 192 | #235 | — | 6 | 3 | no | — |
| 193 | #235 | — | 6 | 3 | no | — |
| 194 | #235 | — | 6 | 3 | no | — |
| 195 | #235 | — | 6 | 3 | no | — |
| 196 | #235 | — | 6 | 3 | no | — |
| 197 | #235 | — | 6 | 6 | no | — |
| 198 | C2×D12 | — | 6 | 3 | no | — |
| 199 | C2×D12 | — | 6 | 3 | no | — |
| 200 | C2×C4×D3 | — | 2 | 3 | no | — |
| 201 | C2×C4×D3 | — | 6 | 3 | no | — |
| 202 | C2×C4×D3 | — | 6 | 3 | no | — |
| 203 | C2×C4×D3 | — | 6 | 6 | no | — |
| 204 | C2×Dic6 | — | 6 | 3 | no | — |
| 205 | C2×Dic6 | — | 6 | 3 | no | — |
| 206 | C3×M16 | — | 6 | 3 | no | — |
| 207 | C2×C3×C8 | — | 6 | 3 | no | — |
| 208 | #208 | — | 2 | 3 | no | — |
| 209 | C2×C3⋊C8 | — | 2 | 3 | no | — |
| 210 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 211 | ΓL(1,𝔽25) | — | 6 | 3 | no | — |
| 212 | ΓL(1,𝔽25) | — | 6 | 3 | no | — |
| 213 | ΓL(1,𝔽25) | — | 6 | 3 | no | — |
| 214 | D3×C8 | — | 6 | 6 | no | — |
| 215 | C22×C32 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 216 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 217 | C2×C3⋊D3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 218 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 219 | C2×C3×D3 | — | 2 | 3 | no | — |
| 220 | C2×C3×D3 | — | 2 | 1 | no | — |
| 221 | C2×C3×D3 | — | 8 | 3 | no | — |
| 222 | D32 | — | 8 | 3 | no | — |
| 223 | #157 | — | 2 | 2 | no | — |
| 224 | #157 | — | 4 | 3 | no | — |
| 225 | C32×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 226 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 227 | C3⋊Dic3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 228 | C3⋊Dic3 | C23×C4 | 1 | 1 | yes | characteristic |
| 229 | C3×Dic3 | — | 2 | 3 | no | — |
| 230 | C3×Dic3 | — | 2 | 1 | no | — |
| 231 | 2−1+4 | — | 9 | 1 | no | — |
| 232 | 2−1+4 | — | 9 | 3 | no | — |
| 233 | 2−1+4 | — | 18 | 1 | no | — |
| 234 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 235 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 236 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 237 | C2×#41 | — | 6 | 1 | no | — |
| 238 | C2×#41 | — | 9 | 3 | no | — |
| 239 | C2×#41 | — | 9 | 1 | no | — |
| 240 | C2×#41 | — | 9 | 3 | no | — |
| 241 | C2×#41 | — | 18 | 3 | no | — |
| 242 | #131 | — | 6 | 1 | no | — |
| 243 | #131 | — | 18 | 3 | no | — |
| 244 | C2×M16 | — | 9 | 3 | no | — |
| 245 | C2×M16 | — | 9 | 3 | no | — |
| 246 | C4×Q8 | — | 18 | 1 | no | — |
| 247 | C4×D4 | — | 18 | 3 | no | — |
| 248 | #117 | — | 9 | 3 | no | — |
| 249 | C2×C42 | — | 9 | 3 | no | — |
| 250 | #104 | — | 9 | 1 | no | — |
| 251 | #104 | — | 9 | 3 | no | — |
| 252 | #104 | — | 9 | 3 | no | — |
| 253 | #104 | — | 9 | 3 | no | — |
| 254 | #104 | — | 9 | 6 | no | — |
| 255 | C23×C3 | — | 6 | 3 | no | — |
| 256 | C22×D3 | — | 2 | 3 | no | — |
| 257 | C22×D3 | — | 6 | 3 | no | — |
| 258 | C22×D3 | — | 6 | 3 | no | — |
| 259 | C22×D3 | — | 6 | 6 | no | — |
| 260 | C3×Q8 | — | 2 | 1 | no | — |
| 261 | C3×Q8 | — | 2 | 1 | no | — |
| 262 | C3×Q8 | — | 6 | 3 | no | — |
| 263 | C3×D4 | — | 2 | 3 | no | — |
| 264 | C3×D4 | — | 2 | 3 | no | — |
| 265 | C3×D4 | — | 6 | 3 | no | — |
| 266 | C3×D4 | — | 6 | 6 | no | — |
| 267 | C2×C3×C4 | — | 2 | 3 | no | — |
| 268 | C2×C3×C4 | — | 2 | 3 | no | — |
| 269 | C2×C3×C4 | — | 6 | 3 | no | — |
| 270 | C2×C3×C4 | — | 6 | 3 | no | — |
| 271 | C2×C3×C4 | — | 6 | 1 | no | — |
| 272 | C2×C3×C4 | — | 6 | 3 | no | — |
| 273 | C2×C3×C4 | — | 6 | 3 | no | — |
| 274 | #67 | — | 2 | 6 | no | — |
| 275 | #67 | — | 6 | 1 | no | — |
| 276 | #67 | — | 6 | 3 | no | — |
| 277 | #67 | — | 6 | 6 | no | — |
| 278 | #67 | — | 6 | 6 | no | — |
| 279 | #67 | — | 6 | 3 | no | — |
| 280 | #67 | — | 6 | 1 | no | — |
| 281 | #67 | — | 6 | 3 | no | — |
| 282 | #67 | — | 6 | 3 | no | — |
| 283 | #67 | — | 6 | 3 | no | — |
| 284 | #67 | — | 6 | 3 | no | — |
| 285 | C2×Dic3 | — | 2 | 3 | no | — |
| 286 | C2×Dic3 | — | 6 | 3 | no | — |
| 287 | C2×Dic3 | — | 6 | 3 | no | — |
| 288 | C2×Dic3 | — | 6 | 6 | no | — |
| 289 | D12 | — | 2 | 3 | no | — |
| 290 | D12 | — | 6 | 3 | no | — |
| 291 | D12 | — | 6 | 3 | no | — |
| 292 | D12 | — | 6 | 1 | no | — |
| 293 | D12 | — | 6 | 3 | no | — |
| 294 | D12 | — | 6 | 3 | no | — |
| 295 | D12 | — | 6 | 3 | no | — |
| 296 | C4×D3 | — | 2 | 1 | no | — |
| 297 | C4×D3 | — | 2 | 3 | no | — |
| 298 | C4×D3 | — | 2 | 3 | no | — |
| 299 | C4×D3 | — | 2 | 3 | no | — |
| 300 | C4×D3 | — | 6 | 3 | no | — |
| 301 | C4×D3 | — | 6 | 3 | no | — |
| 302 | C4×D3 | — | 6 | 3 | no | — |
| 303 | C4×D3 | — | 6 | 3 | no | — |
| 304 | C4×D3 | — | 6 | 3 | no | — |
| 305 | C4×D3 | — | 6 | 3 | no | — |
| 306 | C4×D3 | — | 6 | 1 | no | — |
| 307 | C4×D3 | — | 6 | 1 | no | — |
| 308 | C4×D3 | — | 6 | 6 | no | — |
| 309 | C4×D3 | — | 6 | 6 | no | — |
| 310 | Dic6 | — | 2 | 3 | no | — |
| 311 | Dic6 | — | 6 | 1 | no | — |
| 312 | Dic6 | — | 6 | 3 | no | — |
| 313 | Dic6 | — | 6 | 3 | no | — |
| 314 | Dic6 | — | 6 | 3 | no | — |
| 315 | Dic6 | — | 6 | 3 | no | — |
| 316 | Dic6 | — | 6 | 3 | no | — |
| 317 | C3×C8 | — | 6 | 3 | no | — |
| 318 | C3×C8 | — | 6 | 1 | no | — |
| 319 | C3⋊C8 | — | 2 | 3 | no | — |
| 320 | C3⋊C8 | — | 2 | 1 | no | — |
| 321 | C2×C32 | — | 2 | 3 | no | — |
| 322 | C2×C32 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 323 | C3⋊D3 | — | 2 | 1 | no | — |
| 324 | C3⋊D3 | — | 2 | 3 | no | — |
| 325 | C3×D3 | — | 4 | 3 | no | — |
| 326 | C3×D3 | — | 4 | 1 | no | — |
| 327 | #41 | — | 6 | 1 | no | — |
| 328 | #41 | — | 6 | 3 | no | — |
| 329 | #41 | — | 6 | 3 | no | — |
| 330 | #41 | — | 9 | 1 | no | — |
| 331 | #41 | — | 9 | 3 | no | — |
| 332 | #41 | — | 9 | 3 | no | — |
| 333 | #41 | — | 9 | 3 | no | — |
| 334 | #41 | — | 9 | 1 | no | — |
| 335 | #41 | — | 9 | 3 | no | — |
| 336 | #41 | — | 9 | 3 | no | — |
| 337 | #41 | — | 9 | 6 | no | — |
| 338 | #41 | — | 18 | 3 | no | — |
| 339 | #41 | — | 18 | 3 | no | — |
| 340 | #41 | — | 18 | 6 | no | — |
| 341 | #41 | — | 18 | 3 | no | — |
| 342 | #41 | — | 18 | 3 | no | — |
| 343 | #41 | — | 18 | 3 | no | — |
| 344 | #41 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 345 | C2×Q8 | — | 6 | 1 | no | — |
| 346 | C2×Q8 | — | 9 | 3 | no | — |
| 347 | C2×Q8 | — | 9 | 1 | no | — |
| 348 | C2×Q8 | — | 9 | 3 | no | — |
| 349 | C2×Q8 | — | 18 | 3 | no | — |
| 350 | C2×D4 | — | 6 | 3 | no | — |
| 351 | C2×D4 | — | 9 | 3 | no | — |
| 352 | C2×D4 | — | 9 | 3 | no | — |
| 353 | C2×D4 | — | 9 | 3 | no | — |
| 354 | C2×D4 | — | 18 | 3 | no | — |
| 355 | C2×D4 | — | 18 | 3 | no | — |
| 356 | C2×D4 | — | 18 | 3 | no | — |
| 357 | C2×D4 | — | 18 | 6 | no | — |
| 358 | C22×C4 | — | 6 | 3 | no | — |
| 359 | C22×C4 | — | 9 | 3 | no | — |
| 360 | C22×C4 | — | 18 | 3 | no | — |
| 361 | C22×C4 | — | 18 | 3 | no | — |
| 362 | M16 | — | 6 | 3 | no | — |
| 363 | M16 | — | 9 | 1 | no | — |
| 364 | M16 | — | 9 | 3 | no | — |
| 365 | M16 | — | 18 | 3 | no | — |
| 366 | C2×C8 | — | 6 | 3 | no | — |
| 367 | C2×C8 | — | 18 | 3 | no | — |
| 368 | C4⋊C4 | — | 18 | 3 | no | — |
| 369 | C22⋊C4 | — | 18 | 3 | no | — |
| 370 | C42 | — | 9 | 1 | no | — |
| 371 | C42 | — | 9 | 3 | no | — |
| 372 | C42 | — | 18 | 3 | no | — |
| 373 | C22×C3 | — | 2 | 3 | no | — |
| 374 | C22×C3 | — | 2 | 3 | no | — |
| 375 | C22×C3 | — | 6 | 3 | no | — |
| 376 | C22×C3 | — | 6 | 1 | no | — |
| 377 | C22×C3 | — | 24 | 3 | no | — |
| 378 | C2×D3 | — | 2 | 1 | no | — |
| 379 | C2×D3 | — | 2 | 3 | no | — |
| 380 | C2×D3 | — | 6 | 3 | no | — |
| 381 | C2×D3 | — | 6 | 1 | no | — |
| 382 | C2×D3 | — | 6 | 1 | no | — |
| 383 | C2×D3 | — | 6 | 3 | no | — |
| 384 | C2×D3 | — | 8 | 3 | no | — |
| 385 | C2×D3 | — | 24 | 3 | no | — |
| 386 | C2×D3 | — | 24 | 3 | no | — |
| 387 | C2×D3 | — | 24 | 6 | no | — |
| 388 | C3×C4 | — | 2 | 1 | no | — |
| 389 | C3×C4 | — | 2 | 1 | no | — |
| 390 | C3×C4 | — | 2 | 3 | no | — |
| 391 | C3×C4 | — | 2 | 3 | no | — |
| 392 | C3×C4 | — | 6 | 1 | no | — |
| 393 | C3×C4 | — | 6 | 3 | no | — |
| 394 | Dic3 | — | 2 | 3 | no | — |
| 395 | Dic3 | — | 2 | 1 | no | — |
| 396 | Dic3 | — | 6 | 3 | no | — |
| 397 | Dic3 | — | 6 | 1 | no | — |
| 398 | Dic3 | — | 6 | 3 | no | — |
| 399 | Dic3 | — | 6 | 1 | no | — |
| 400 | C32 | #2901 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 401 | C23 | — | 6 | 3 | no | — |
| 402 | C23 | — | 9 | 3 | no | — |
| 403 | C23 | — | 18 | 3 | no | — |
| 404 | Q8 | — | 6 | 3 | no | — |
| 405 | Q8 | — | 9 | 1 | no | — |
| 406 | Q8 | — | 9 | 3 | no | — |
| 407 | Q8 | — | 9 | 3 | no | — |
| 408 | Q8 | — | 18 | 3 | no | — |
| 409 | Q8 | D32⋊C4 | 1 | 1 | yes | characteristic |
| 410 | D4 | — | 6 | 6 | no | — |
| 411 | D4 | — | 6 | 3 | no | — |
| 412 | D4 | — | 9 | 1 | no | — |
| 413 | D4 | — | 9 | 3 | no | — |
| 414 | D4 | — | 9 | 6 | no | — |
| 415 | D4 | — | 9 | 3 | no | — |
| 416 | D4 | — | 18 | 1 | no | — |
| 417 | D4 | — | 18 | 3 | no | — |
| 418 | D4 | — | 18 | 3 | no | — |
| 419 | D4 | — | 18 | 3 | no | — |
| 420 | D4 | — | 18 | 3 | no | — |
| 421 | D4 | D32⋊C4 | 1 | 3 | yes | — |
| 422 | C2×C4 | — | 6 | 3 | no | — |
| 423 | C2×C4 | — | 6 | 1 | no | — |
| 424 | C2×C4 | — | 6 | 3 | no | — |
| 425 | C2×C4 | — | 6 | 3 | no | — |
| 426 | C2×C4 | — | 6 | 3 | no | — |
| 427 | C2×C4 | — | 9 | 3 | no | — |
| 428 | C2×C4 | — | 9 | 1 | no | — |
| 429 | C2×C4 | — | 9 | 3 | no | — |
| 430 | C2×C4 | — | 9 | 3 | no | — |
| 431 | C2×C4 | — | 9 | 3 | no | — |
| 432 | C2×C4 | — | 18 | 3 | no | — |
| 433 | C2×C4 | — | 18 | 6 | no | — |
| 434 | C2×C4 | — | 18 | 1 | no | — |
| 435 | C2×C4 | — | 18 | 3 | no | — |
| 436 | C2×C4 | — | 36 | 6 | no | — |
| 437 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 3 | yes | — |
| 438 | C8 | — | 6 | 1 | no | — |
| 439 | C8 | — | 6 | 3 | no | — |
| 440 | C2×C3 | — | 2 | 1 | no | — |
| 441 | C2×C3 | — | 2 | 1 | no | — |
| 442 | C2×C3 | — | 4 | 3 | no | — |
| 443 | C2×C3 | — | 4 | 3 | no | — |
| 444 | C2×C3 | — | 12 | 3 | no | — |
| 445 | C2×C3 | — | 12 | 1 | no | — |
| 446 | D3 | — | 4 | 1 | no | — |
| 447 | D3 | — | 4 | 3 | no | — |
| 448 | D3 | — | 12 | 1 | no | — |
| 449 | D3 | — | 12 | 1 | no | — |
| 450 | D3 | — | 12 | 3 | no | — |
| 451 | D3 | — | 12 | 3 | no | — |
| 452 | C22 | — | 6 | 1 | no | — |
| 453 | C22 | — | 6 | 3 | no | — |
| 454 | C22 | — | 9 | 1 | no | — |
| 455 | C22 | — | 9 | 3 | no | — |
| 456 | C22 | — | 24 | 3 | no | — |
| 457 | C22 | — | 36 | 3 | no | — |
| 458 | C22 | — | 72 | 3 | no | — |
| 459 | C22 | C2×D32⋊C4 | 1 | 3 | yes | — |
| 460 | C4 | — | 6 | 1 | no | — |
| 461 | C4 | — | 6 | 3 | no | — |
| 462 | C4 | — | 9 | 1 | no | — |
| 463 | C4 | — | 9 | 3 | no | — |
| 464 | C4 | — | 18 | 2 | no | — |
| 465 | C4 | — | 36 | 3 | no | — |
| 466 | C4 | C2×D32⋊C4 | 1 | 3 | yes | — |
| 467 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 468 | C3 | — | 2 | 1 | no | — |
| 469 | C3 | — | 2 | 1 | no | — |
| 470 | C2 | — | 2 | 3 | no | — |
| 471 | C2 | — | 12 | 1 | no | — |
| 472 | C2 | — | 12 | 3 | no | — |
| 473 | C2 | — | 18 | 1 | no | — |
| 474 | C2 | — | 18 | 3 | no | — |
| 475 | C2 | C22×D32⋊C4 | 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. #10595443 | C2 | semidirect |
| 4. #10593325 | C2 | semidirect |
| 5. #10593324 | C2 | semidirect |
| 6. #10593323 | C2 | semidirect |
| 7. C2×#63731 | C2 | semidirect |
| 10. #64320 | C4 | semidirect |
| 11. #64316 | C4 | semidirect |
| 14. #64313 | C4 | semidirect |
| 15. #64309 | C4 | semidirect |
| 21. #64286 | C22 | semidirect |
| 22. C2×C4×#157 | C22 | semidirect |
| 24. C2×#3712 | C22 | semidirect |
| 25. #63818 | C22 | semidirect |
| 27. #63731 | C22 | semidirect |
| 28. #63731 | C22 | semidirect |
| 29. #63731 | C22 | semidirect |
| 30. #63731 | C22 | semidirect |
| 31. #63731 | C22 | semidirect |
| 50. C2×#627 | C2×C4 | semidirect |
| 52. C2×#625 | C2×C4 | semidirect |
| 53. #3805 | C2×C4 | semidirect |
| 55. #3802 | C2×C4 | semidirect |
| 61. #3798 | C2×C4 | semidirect |
| 62. #3798 | C2×C4 | semidirect |
| 65. #3797 | C2×C4 | semidirect |
| 400. C32 | #2901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596695 | 2 |
| #41×#157 | 2 |
| #10595443 | 2 |
| #10593325 | 2 |
| #10593324 | 2 |
| #10593323 | 2 |
| C2×#63731 | 2 |
| #2901 | 9 |