Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1123 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 1123 conjugacy classes of subgroups — too many to draw. Only its 166 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 | #10594008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10593972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592532 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4843 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10590945 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10590886 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590885 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590347 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #80336 | — | 3 | 2 | no | maximal |
| 10 | C2×#3802 | — | 2 | 1 | no | — |
| 11 | C2×#3802 | — | 2 | 1 | no | — |
| 12 | C2×#3802 | C22 | 1 | 2 | yes | — |
| 13 | C2×#3798 | — | 2 | 1 | no | — |
| 14 | C42×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×D24 | C22 | 1 | 4 | yes | complemented |
| 16 | C3×#874 | C22 | 1 | 2 | yes | — |
| 17 | C3×C4×D12 | C22 | 1 | 2 | yes | complemented |
| 18 | #63919 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #63916 | C22 | 1 | 2 | yes | — |
| 20 | #63915 | — | 2 | 1 | no | — |
| 21 | #63914 | — | 2 | 1 | no | — |
| 22 | #63914 | — | 2 | 1 | no | — |
| 23 | #63914 | C22 | 1 | 2 | yes | — |
| 24 | #63914 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #63912 | — | 2 | 1 | no | — |
| 26 | C4×#625 | — | 2 | 1 | no | — |
| 27 | C2×#3713 | C22 | 1 | 4 | yes | complemented |
| 28 | C32×C4⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #63647 | C22 | 1 | 2 | yes | — |
| 30 | C8×C3⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 31 | C4⋊(C3⋊(C3⋊C8)) | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#821 | C22 | 1 | 4 | yes | complemented |
| 33 | #63562 | C22 | 1 | 4 | yes | complemented |
| 34 | D3×#127 | — | 3 | 2 | no | — |
| 35 | #5548 | — | 3 | 2 | no | — |
| 36 | C3×#459 | — | 3 | 2 | no | — |
| 37 | #5156 | — | 3 | 4 | no | — |
| 38 | #5151 | — | 3 | 4 | no | — |
| 39 | #5072 | — | 3 | 2 | no | — |
| 40 | #5015 | — | 3 | 2 | no | — |
| 41 | #4843 | D3 | 1 | 2 | yes | complemented |
| 42 | #4833 | — | 3 | 2 | no | — |
| 43 | #4833 | — | 6 | 1 | no | — |
| 44 | #4773 | — | 3 | 4 | no | — |
| 45 | #4760 | — | 3 | 4 | no | — |
| 46 | C22×D32 | — | 2 | 2 | no | — |
| 47 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 49 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 50 | C2×C3×D12 | — | 2 | 2 | no | — |
| 51 | C2×C3×D12 | — | 2 | 2 | no | — |
| 52 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 53 | C2×C3×D12 | C23 | 1 | 4 | yes | — |
| 54 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 55 | C2×#627 | — | 2 | 1 | no | — |
| 56 | C2×#626 | — | 2 | 2 | no | — |
| 57 | C2×#625 | — | 2 | 1 | no | — |
| 58 | C2×#625 | — | 2 | 2 | no | — |
| 59 | C2×#625 | — | 2 | 2 | no | — |
| 60 | C2×#625 | — | 2 | 2 | no | — |
| 61 | C2×#625 | — | 2 | 1 | no | — |
| 62 | #3802 | — | 4 | 2 | no | — |
| 63 | #3802 | — | 4 | 2 | no | — |
| 64 | #3802 | — | 4 | 4 | no | — |
| 65 | #3802 | — | 4 | 4 | no | — |
| 66 | #3798 | — | 4 | 4 | no | — |
| 67 | C2×C32×C8 | C23 | 1 | 2 | yes | — |
| 68 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 69 | C4×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 70 | C4×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 71 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 73 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 74 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 75 | C3×D24 | — | 4 | 4 | no | — |
| 76 | #3724 | — | 2 | 1 | no | — |
| 77 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 78 | #3713 | — | 4 | 4 | no | — |
| 79 | #3205 | — | 9 | 1 | no | Sylow |
| 80 | C2×D3×D4 | — | 3 | 4 | no | — |
| 81 | C2×D3×D4 | — | 6 | 2 | no | — |
| 82 | C2×D3×D4 | — | 6 | 2 | no | — |
| 83 | C2×#235 | — | 6 | 2 | no | — |
| 84 | C2×C3×D8 | — | 3 | 4 | no | — |
| 85 | C3×#127 | — | 3 | 2 | no | — |
| 86 | C3×C4×D4 | — | 3 | 2 | no | — |
| 87 | #940 | — | 3 | 2 | no | — |
| 88 | #940 | — | 3 | 4 | no | — |
| 89 | #940 | — | 6 | 2 | no | — |
| 90 | #940 | — | 6 | 2 | no | — |
| 91 | #938 | — | 3 | 2 | no | — |
| 92 | C2×#213 | — | 3 | 4 | no | — |
| 93 | C2×#213 | — | 3 | 4 | no | — |
| 94 | C4×#67 | — | 6 | 2 | no | — |
| 95 | C2×D24 | C2×D3 | 1 | 4 | yes | complemented |
| 96 | #895 | — | 3 | 2 | no | — |
| 97 | #888 | — | 3 | 2 | no | — |
| 98 | #885 | — | 6 | 2 | no | — |
| 99 | #884 | — | 6 | 2 | no | — |
| 100 | #874 | C2×D3 | 1 | 2 | yes | — |
| 101 | C4×D12 | C2×D3 | 1 | 2 | yes | complemented |
| 102 | C42×D3 | — | 3 | 2 | no | — |
| 103 | C42×D3 | — | 6 | 1 | no | — |
| 104 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 105 | C3×C4⋊C8 | C2×D3 | 1 | 2 | yes | complemented |
| 106 | C3×#102 | — | 3 | 4 | no | — |
| 107 | #832 | — | 3 | 4 | no | — |
| 108 | #821 | C2×D3 | 1 | 4 | yes | complemented |
| 109 | (C2×D3)⋊C8 | — | 3 | 4 | no | — |
| 110 | (C2×D3)⋊C8 | — | 6 | 2 | no | — |
| 111 | C8×Dic3 | — | 3 | 4 | no | — |
| 112 | C8×Dic3 | — | 6 | 2 | no | — |
| 113 | #809 | — | 3 | 4 | no | — |
| 114 | C4⋊(C3⋊C8) | — | 3 | 2 | no | — |
| 115 | C4⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 116 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C22×C3×D3 | — | 2 | 4 | no | — |
| 118 | C22×C3×D3 | — | 2 | 2 | no | — |
| 119 | C2×D32 | — | 4 | 4 | no | — |
| 120 | C2×D32 | — | 4 | 4 | no | — |
| 121 | C2×D32 | — | 4 | 4 | no | — |
| 122 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 125 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 129 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 130 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 131 | C4×C3⋊D3 | D8 | 1 | 4 | yes | complemented |
| 132 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 133 | C3×D12 | — | 2 | 2 | no | — |
| 134 | C3×D12 | — | 2 | 4 | no | — |
| 135 | C3×D12 | — | 2 | 2 | no | — |
| 136 | C3×D12 | — | 2 | 4 | no | — |
| 137 | C3×D12 | — | 4 | 4 | no | — |
| 138 | C3×D12 | — | 4 | 4 | no | — |
| 139 | C3×C4×D3 | — | 4 | 4 | no | — |
| 140 | #627 | — | 4 | 2 | no | — |
| 141 | #626 | — | 4 | 4 | no | — |
| 142 | #625 | — | 4 | 4 | no | — |
| 143 | #625 | — | 4 | 2 | no | — |
| 144 | #625 | — | 4 | 4 | no | — |
| 145 | #625 | — | 4 | 4 | no | — |
| 146 | #625 | — | 4 | 2 | no | — |
| 147 | C32×C8 | — | 2 | 2 | no | — |
| 148 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 149 | #532 | — | 9 | 1 | no | — |
| 150 | C2×#127 | — | 9 | 1 | no | — |
| 151 | #493 | — | 9 | 2 | no | — |
| 152 | #486 | — | 9 | 2 | no | — |
| 153 | #459 | — | 3 | 2 | no | — |
| 154 | #459 | — | 9 | 2 | no | — |
| 155 | #447 | — | 9 | 4 | no | — |
| 156 | #431 | — | 9 | 1 | no | — |
| 157 | C23×D3 | — | 6 | 4 | no | — |
| 158 | C2×C3×D4 | — | 3 | 4 | no | — |
| 159 | C2×C3×D4 | — | 3 | 2 | no | — |
| 160 | C2×C3×D4 | — | 6 | 2 | no | — |
| 161 | C2×C3×D4 | — | 6 | 2 | no | — |
| 162 | C22×C3×C4 | — | 6 | 2 | no | — |
| 163 | C2×#67 | — | 6 | 2 | no | — |
| 164 | C2×#67 | — | 6 | 2 | no | — |
| 165 | C2×#67 | — | 6 | 2 | no | — |
| 166 | C2×#67 | — | 6 | 4 | no | — |
| 167 | C2×#67 | — | 6 | 4 | no | — |
| 168 | C2×#67 | — | 6 | 4 | no | — |
| 169 | D3×D4 | — | 12 | 8 | no | — |
| 170 | D3×D4 | — | 12 | 4 | no | — |
| 171 | D3×D4 | — | 12 | 4 | no | — |
| 172 | D3×D4 | — | 12 | 8 | no | — |
| 173 | #235 | — | 12 | 8 | no | — |
| 174 | C2×D12 | — | 2 | 2 | no | — |
| 175 | C2×D12 | — | 2 | 2 | no | — |
| 176 | C2×D12 | — | 6 | 2 | no | — |
| 177 | C2×D12 | C22×D3 | 1 | 4 | yes | — |
| 178 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 179 | C2×C4×D3 | — | 2 | 2 | no | — |
| 180 | C2×C4×D3 | — | 3 | 2 | no | — |
| 181 | C2×C4×D3 | — | 3 | 2 | no | — |
| 182 | C2×C4×D3 | — | 3 | 2 | no | — |
| 183 | C2×C4×D3 | — | 6 | 1 | no | — |
| 184 | C2×C4×D3 | — | 6 | 1 | no | — |
| 185 | C2×C4×D3 | — | 6 | 1 | no | — |
| 186 | C2×Dic6 | — | 6 | 2 | no | — |
| 187 | C3×D8 | — | 12 | 4 | no | — |
| 188 | C2×C3×C8 | — | 2 | 2 | no | — |
| 189 | C2×C3×C8 | C22×D3 | 1 | 4 | yes | — |
| 190 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 191 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 192 | C3×C42 | — | 2 | 1 | no | — |
| 193 | C3×C42 | C22×D3 | 1 | 2 | yes | — |
| 194 | #217 | — | 6 | 2 | no | — |
| 195 | #213 | — | 12 | 4 | no | — |
| 196 | #213 | — | 12 | 4 | no | — |
| 197 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 198 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 199 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 200 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 201 | C4×Dic3 | — | 3 | 2 | no | — |
| 202 | C4×Dic3 | — | 3 | 2 | no | — |
| 203 | C4×Dic3 | — | 3 | 2 | no | — |
| 204 | C4×Dic3 | — | 6 | 1 | no | — |
| 205 | C4×Dic3 | — | 6 | 1 | no | — |
| 206 | C4×Dic3 | — | 6 | 1 | no | — |
| 207 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 208 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 209 | D24 | — | 4 | 4 | no | — |
| 210 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 212 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 213 | C2×C3⋊D3 | C2×D8 | 1 | 2 | yes | — |
| 214 | C2×C3×D3 | — | 4 | 4 | no | — |
| 215 | C2×C3×D3 | — | 4 | 2 | no | — |
| 216 | C2×C3×D3 | — | 4 | 2 | no | — |
| 217 | C2×C3×D3 | — | 4 | 4 | no | — |
| 218 | C2×C3×D3 | — | 4 | 4 | no | — |
| 219 | C2×C3×D3 | — | 4 | 2 | no | — |
| 220 | D32 | — | 8 | 8 | no | — |
| 221 | C32×C4 | — | 2 | 1 | no | — |
| 222 | C32×C4 | C2×D8 | 1 | 2 | yes | — |
| 223 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 224 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 225 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 226 | C3⋊Dic3 | C2×D8 | 1 | 2 | yes | — |
| 227 | C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 228 | C3×Dic3 | — | 4 | 2 | no | — |
| 229 | C2×#41 | — | 18 | 1 | no | — |
| 230 | C22×D4 | — | 9 | 2 | no | — |
| 231 | C22×D4 | — | 18 | 1 | no | — |
| 232 | C22×D4 | — | 18 | 1 | no | — |
| 233 | C2×D8 | — | 3 | 4 | no | — |
| 234 | C2×D8 | — | 9 | 4 | no | — |
| 235 | C4⋊Q8 | — | 9 | 1 | no | — |
| 236 | #127 | — | 3 | 2 | no | — |
| 237 | #127 | — | 9 | 2 | no | — |
| 238 | #127 | — | 9 | 1 | no | — |
| 239 | #127 | — | 18 | 1 | no | — |
| 240 | #127 | — | 18 | 1 | no | — |
| 241 | #124 | — | 18 | 1 | no | — |
| 242 | #121 | — | 9 | 2 | no | — |
| 243 | #121 | — | 18 | 1 | no | — |
| 244 | C4×D4 | — | 3 | 2 | no | — |
| 245 | C4×D4 | — | 18 | 1 | no | — |
| 246 | C2×C42 | — | 9 | 1 | no | — |
| 247 | C4⋊C8 | — | 9 | 1 | no | — |
| 248 | C4⋊C8 | D32 | 1 | 1 | yes | characteristic, complemented |
| 249 | #102 | — | 3 | 4 | no | — |
| 250 | #102 | — | 9 | 4 | no | — |
| 251 | C22⋊C8 | — | 9 | 2 | no | — |
| 252 | C4×C8 | — | 9 | 2 | no | — |
| 253 | C23×C3 | — | 6 | 2 | no | — |
| 254 | C23×C3 | — | 6 | 4 | no | — |
| 255 | C22×D3 | — | 2 | 2 | no | — |
| 256 | C22×D3 | — | 2 | 4 | no | — |
| 257 | C22×D3 | — | 3 | 2 | no | — |
| 258 | C22×D3 | — | 6 | 1 | no | — |
| 259 | C22×D3 | — | 12 | 8 | no | — |
| 260 | C22×D3 | — | 12 | 8 | no | — |
| 261 | C22×D3 | — | 12 | 8 | no | — |
| 262 | C3×D4 | — | 6 | 2 | no | — |
| 263 | C3×D4 | — | 6 | 4 | no | — |
| 264 | C3×D4 | — | 6 | 2 | no | — |
| 265 | C3×D4 | — | 6 | 4 | no | — |
| 266 | C3×D4 | — | 12 | 4 | no | — |
| 267 | C3×D4 | — | 12 | 4 | no | — |
| 268 | C2×C3×C4 | — | 2 | 1 | no | — |
| 269 | C2×C3×C4 | — | 2 | 1 | no | — |
| 270 | C2×C3×C4 | — | 2 | 1 | no | — |
| 271 | C2×C3×C4 | — | 6 | 2 | no | — |
| 272 | C2×C3×C4 | — | 12 | 4 | no | — |
| 273 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 274 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 275 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 276 | #67 | — | 12 | 4 | no | — |
| 277 | #67 | — | 12 | 8 | no | — |
| 278 | #67 | — | 12 | 8 | no | — |
| 279 | #67 | — | 12 | 4 | no | — |
| 280 | #67 | — | 12 | 4 | no | — |
| 281 | #67 | — | 12 | 8 | no | — |
| 282 | C2×Dic3 | — | 2 | 2 | no | — |
| 283 | C2×Dic3 | — | 3 | 2 | no | — |
| 284 | C2×Dic3 | — | 3 | 2 | no | — |
| 285 | C2×Dic3 | — | 3 | 2 | no | — |
| 286 | C2×Dic3 | — | 6 | 1 | no | — |
| 287 | C2×Dic3 | — | 6 | 1 | no | — |
| 288 | C2×Dic3 | — | 6 | 1 | no | — |
| 289 | D12 | — | 2 | 2 | no | — |
| 290 | D12 | — | 2 | 4 | no | — |
| 291 | D12 | — | 2 | 2 | no | — |
| 292 | D12 | — | 2 | 4 | no | — |
| 293 | D12 | — | 4 | 4 | no | — |
| 294 | D12 | — | 4 | 4 | no | — |
| 295 | D12 | — | 12 | 4 | no | — |
| 296 | C4×D3 | — | 3 | 8 | no | — |
| 297 | C4×D3 | — | 4 | 4 | no | — |
| 298 | C4×D3 | — | 6 | 4 | no | — |
| 299 | C4×D3 | — | 6 | 4 | no | — |
| 300 | C4×D3 | — | 6 | 2 | no | — |
| 301 | C4×D3 | — | 6 | 2 | no | — |
| 302 | C4×D3 | — | 12 | 2 | no | — |
| 303 | C4×D3 | — | 12 | 1 | no | — |
| 304 | C4×D3 | — | 12 | 1 | no | — |
| 305 | Dic6 | — | 12 | 4 | no | — |
| 306 | C3×C8 | — | 2 | 4 | no | — |
| 307 | C3×C8 | — | 4 | 2 | no | — |
| 308 | C3⋊C8 | — | 6 | 4 | no | — |
| 309 | C3⋊C8 | — | 12 | 2 | no | — |
| 310 | C2×C32 | #535 | 1 | 1 | yes | characteristic |
| 311 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 312 | C2×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 313 | C3⋊D3 | — | 2 | 2 | no | — |
| 314 | C3×D3 | — | 8 | 4 | no | — |
| 315 | C3×D3 | — | 8 | 2 | no | — |
| 316 | C24 | — | 18 | 2 | no | — |
| 317 | #41 | — | 36 | 4 | no | — |
| 318 | C2×Q8 | — | 18 | 1 | no | — |
| 319 | C2×D4 | — | 3 | 4 | no | — |
| 320 | C2×D4 | — | 3 | 2 | no | — |
| 321 | C2×D4 | — | 6 | 2 | no | — |
| 322 | C2×D4 | — | 6 | 2 | no | — |
| 323 | C2×D4 | — | 18 | 2 | no | — |
| 324 | C2×D4 | — | 18 | 1 | no | — |
| 325 | C2×D4 | — | 18 | 1 | no | — |
| 326 | C2×D4 | — | 18 | 2 | no | — |
| 327 | C2×D4 | — | 18 | 2 | no | — |
| 328 | C2×D4 | — | 18 | 2 | no | — |
| 329 | C2×D4 | — | 36 | 4 | no | — |
| 330 | C2×D4 | — | 36 | 2 | no | — |
| 331 | C2×D4 | — | 36 | 2 | no | — |
| 332 | C2×D4 | — | 36 | 4 | no | — |
| 333 | C22×C4 | — | 6 | 2 | no | — |
| 334 | C22×C4 | — | 9 | 1 | no | — |
| 335 | C22×C4 | — | 9 | 1 | no | — |
| 336 | C22×C4 | — | 9 | 1 | no | — |
| 337 | D8 | — | 12 | 4 | no | — |
| 338 | D8 | — | 36 | 4 | no | — |
| 339 | C2×C8 | — | 9 | 2 | no | — |
| 340 | C2×C8 | C2×D32 | 1 | 2 | yes | — |
| 341 | C4⋊C4 | — | 3 | 2 | no | — |
| 342 | C4⋊C4 | — | 18 | 1 | no | — |
| 343 | C22⋊C4 | — | 6 | 2 | no | — |
| 344 | C22⋊C4 | — | 18 | 2 | no | — |
| 345 | C42 | — | 9 | 1 | no | — |
| 346 | C42 | — | 9 | 1 | no | — |
| 347 | C42 | — | 9 | 1 | no | — |
| 348 | C42 | C2×D32 | 1 | 1 | yes | characteristic |
| 349 | C22×C3 | — | 2 | 1 | no | — |
| 350 | C22×C3 | — | 12 | 2 | no | — |
| 351 | C22×C3 | — | 12 | 4 | no | — |
| 352 | C22×C3 | — | 12 | 4 | no | — |
| 353 | C22×C3 | — | 12 | 2 | no | — |
| 354 | C22×C3 | — | 12 | 4 | no | — |
| 355 | C22×C3 | — | 12 | 2 | no | — |
| 356 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 357 | C2×D3 | — | 3 | 4 | no | — |
| 358 | C2×D3 | — | 4 | 2 | no | — |
| 359 | C2×D3 | — | 4 | 4 | no | — |
| 360 | C2×D3 | — | 4 | 4 | no | — |
| 361 | C2×D3 | — | 4 | 2 | no | — |
| 362 | C2×D3 | — | 4 | 4 | no | — |
| 363 | C2×D3 | — | 4 | 2 | no | — |
| 364 | C2×D3 | — | 6 | 2 | no | — |
| 365 | C2×D3 | — | 6 | 2 | no | — |
| 366 | C2×D3 | — | 6 | 2 | no | — |
| 367 | C2×D3 | — | 12 | 1 | no | — |
| 368 | C2×D3 | — | 12 | 1 | no | — |
| 369 | C2×D3 | — | 24 | 16 | no | — |
| 370 | C3×C4 | — | 2 | 2 | no | — |
| 371 | C3×C4 | — | 2 | 2 | no | — |
| 372 | C3×C4 | — | 2 | 1 | no | — |
| 373 | C3×C4 | — | 2 | 1 | no | — |
| 374 | C3×C4 | — | 4 | 1 | no | — |
| 375 | C3×C4 | — | 12 | 2 | no | — |
| 376 | C3×C4 | D3×D8 | 1 | 4 | yes | — |
| 377 | C3×C4 | #1004 | 1 | 2 | yes | — |
| 378 | C3×C4 | #1009 | 1 | 2 | yes | — |
| 379 | Dic3 | — | 3 | 4 | no | — |
| 380 | Dic3 | — | 3 | 4 | no | — |
| 381 | Dic3 | — | 4 | 2 | no | — |
| 382 | Dic3 | — | 6 | 2 | no | — |
| 383 | Dic3 | — | 6 | 2 | no | — |
| 384 | Dic3 | — | 6 | 2 | no | — |
| 385 | Dic3 | — | 12 | 1 | no | — |
| 386 | C32 | #3205 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 387 | C23 | — | 6 | 2 | no | — |
| 388 | C23 | — | 6 | 4 | no | — |
| 389 | C23 | — | 9 | 1 | no | — |
| 390 | C23 | — | 36 | 4 | no | — |
| 391 | C23 | — | 36 | 4 | no | — |
| 392 | C23 | — | 36 | 4 | no | — |
| 393 | Q8 | — | 36 | 2 | no | — |
| 394 | D4 | — | 6 | 2 | no | — |
| 395 | D4 | — | 6 | 4 | no | — |
| 396 | D4 | — | 6 | 2 | no | — |
| 397 | D4 | — | 6 | 4 | no | — |
| 398 | D4 | — | 12 | 4 | no | — |
| 399 | D4 | — | 12 | 4 | no | — |
| 400 | D4 | — | 36 | 4 | no | — |
| 401 | D4 | — | 36 | 4 | no | — |
| 402 | D4 | — | 36 | 2 | no | — |
| 403 | D4 | — | 36 | 2 | no | — |
| 404 | D4 | — | 36 | 4 | no | — |
| 405 | D4 | — | 36 | 4 | no | — |
| 406 | C2×C4 | — | 6 | 2 | no | — |
| 407 | C2×C4 | — | 9 | 1 | no | — |
| 408 | C2×C4 | — | 9 | 1 | no | — |
| 409 | C2×C4 | — | 9 | 4 | no | — |
| 410 | C2×C4 | — | 9 | 1 | no | — |
| 411 | C2×C4 | — | 12 | 4 | no | — |
| 412 | C2×C4 | — | 18 | 2 | no | — |
| 413 | C2×C4 | — | 18 | 1 | no | — |
| 414 | C2×C4 | — | 18 | 1 | no | — |
| 415 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 416 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 417 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 2 | 2 | no | — |
| 419 | C8 | — | 18 | 2 | no | — |
| 420 | C2×C3 | — | 2 | 1 | no | — |
| 421 | C2×C3 | — | 2 | 1 | no | — |
| 422 | C2×C3 | — | 2 | 1 | no | — |
| 423 | C2×C3 | — | 24 | 4 | no | — |
| 424 | C2×C3 | — | 24 | 2 | no | — |
| 425 | C2×C3 | #5607 | 1 | 2 | yes | — |
| 426 | C2×C3 | C2×D3×D8 | 1 | 2 | yes | — |
| 427 | C2×C3 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 428 | D3 | — | 6 | 4 | no | — |
| 429 | D3 | — | 8 | 4 | no | — |
| 430 | D3 | — | 8 | 2 | no | — |
| 431 | D3 | — | 12 | 2 | no | — |
| 432 | C22 | — | 9 | 2 | no | — |
| 433 | C22 | — | 12 | 4 | no | — |
| 434 | C22 | — | 12 | 2 | no | — |
| 435 | C22 | — | 12 | 2 | no | — |
| 436 | C22 | — | 12 | 4 | no | — |
| 437 | C22 | — | 12 | 4 | no | — |
| 438 | C22 | — | 12 | 2 | no | — |
| 439 | C22 | — | 18 | 1 | no | — |
| 440 | C22 | — | 18 | 1 | no | — |
| 441 | C22 | — | 72 | 8 | no | — |
| 442 | C22 | C2×#3802 | 1 | 1 | yes | characteristic |
| 443 | C4 | — | 2 | 1 | no | — |
| 444 | C4 | — | 9 | 2 | no | — |
| 445 | C4 | — | 9 | 2 | no | — |
| 446 | C4 | — | 12 | 2 | no | — |
| 447 | C4 | — | 18 | 1 | no | — |
| 448 | C4 | #63797 | 1 | 2 | yes | — |
| 449 | C4 | #64313 | 1 | 1 | yes | characteristic |
| 450 | C4 | #64320 | 1 | 1 | yes | characteristic |
| 451 | C3 | — | 2 | 1 | no | — |
| 452 | C3 | #80336 | 1 | 2 | yes | complemented |
| 453 | C2 | — | 18 | 2 | no | — |
| 454 | C2 | — | 24 | 4 | no | — |
| 455 | C2 | — | 24 | 2 | no | — |
| 456 | C2 | #10594634 | 1 | 1 | yes | characteristic |
| 457 | C2 | C2×#63797 | 1 | 1 | yes | characteristic |
| 458 | C2 | #10594716 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10594008 | C2 | semidirect |
| 2. #10593972 | C2 | semidirect |
| 3. #10592532 | C2 | semidirect |
| 4. C3×#4843 | C2 | semidirect |
| 5. #10590945 | C2 | semidirect |
| 6. #10590886 | C2 | semidirect |
| 7. #10590885 | C2 | semidirect |
| 8. #10590347 | C2 | semidirect |
| 15. C2×C3×D24 | C22 | semidirect |
| 17. C3×C4×D12 | C22 | semidirect |
| 18. #63919 | C22 | semidirect |
| 24. #63914 | C22 | semidirect |
| 27. C2×#3713 | C22 | semidirect |
| 28. C32×C4⋊C8 | C22 | semidirect |
| 30. C8×C3⋊Dic3 | C22 | semidirect |
| 31. C4⋊(C3⋊(C3⋊C8)) | C22 | semidirect |
| 32. C3×#821 | C22 | semidirect |
| 33. #63562 | C22 | semidirect |
| 41. #4843 | D3 | semidirect |
| 95. C2×D24 | C2×D3 | semidirect |
| 101. C4×D12 | C2×D3 | semidirect |
| 105. C3×C4⋊C8 | C2×D3 | semidirect |
| 108. #821 | C2×D3 | semidirect |
| 131. C4×C3⋊D3 | D8 | semidirect |
| 248. C4⋊C8 | D32 | semidirect |
| 386. C32 | #3205 | semidirect |
| 452. C3 | #80336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10594008 | 2 |
| #10593972 | 2 |
| #10592532 | 2 |
| C3×#4843 | 2 |
| #10590945 | 2 |
| #10590886 | 2 |
| #10590885 | 2 |
| #10590347 | 2 |
| #80336 | 3 |