Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1261 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 1261 conjugacy classes of subgroups — too many to draw. Only its 180 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 | C2×#64128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10595363 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#63950 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C2×#63809 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5190 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591619 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591608 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590881 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10590668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #81869 | — | 3 | 2 | no | maximal |
| 11 | C2×#3832 | C22 | 1 | 2 | yes | — |
| 12 | C2×#3796 | C22 | 1 | 2 | yes | — |
| 13 | C2×C32×Q16 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#3755 | C22 | 1 | 2 | yes | — |
| 15 | #64128 | — | 2 | 4 | no | — |
| 16 | C2×#3745 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#947 | C22 | 1 | 2 | yes | — |
| 19 | C3×#944 | C22 | 1 | 2 | yes | — |
| 20 | C2×C3×#216 | C22 | 1 | 2 | yes | — |
| 21 | C2×C3×#215 | C22 | 1 | 2 | yes | — |
| 22 | C2×C3×#204 | C22 | 1 | 2 | yes | — |
| 23 | #63950 | — | 2 | 8 | no | — |
| 24 | #63911 | C22 | 1 | 2 | yes | — |
| 25 | #63910 | — | 2 | 4 | no | — |
| 26 | C4×#624 | C22 | 1 | 1 | yes | characteristic |
| 27 | #63881 | — | 2 | 4 | no | — |
| 28 | #63864 | C22 | 1 | 2 | yes | — |
| 29 | C2×#3718 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#3717 | C22 | 1 | 2 | yes | — |
| 31 | C2×#3714 | C22 | 1 | 2 | yes | — |
| 32 | C2×#3713 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#3710 | C22 | 1 | 1 | yes | characteristic |
| 34 | #63809 | — | 2 | 4 | no | — |
| 35 | C3×#815 | C22 | 1 | 2 | yes | — |
| 36 | #63554 | C22 | 1 | 2 | yes | — |
| 37 | C2×#919 | — | 3 | 2 | no | — |
| 38 | C2×#919 | — | 3 | 2 | no | — |
| 39 | C2×#919 | — | 6 | 1 | no | — |
| 40 | C2×#916 | — | 3 | 2 | no | — |
| 41 | C2×#916 | — | 3 | 2 | no | — |
| 42 | #5725 | — | 3 | 2 | no | — |
| 43 | #5668 | — | 3 | 2 | no | — |
| 44 | C3×#497 | — | 3 | 2 | no | — |
| 45 | #5190 | — | 3 | 2 | no | — |
| 46 | #5190 | D3 | 1 | 2 | yes | complemented |
| 47 | #5176 | — | 3 | 2 | no | — |
| 48 | #5176 | — | 3 | 2 | no | — |
| 49 | #5086 | — | 3 | 2 | no | — |
| 50 | #5058 | — | 3 | 2 | no | — |
| 51 | #4712 | — | 3 | 2 | no | — |
| 52 | D3×#97 | — | 3 | 2 | no | — |
| 53 | C2×C32×Q8 | C23 | 1 | 2 | yes | — |
| 54 | #3832 | — | 2 | 4 | no | — |
| 55 | #3832 | — | 2 | 4 | no | — |
| 56 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 57 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 58 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 59 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 61 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 62 | C2×#626 | — | 2 | 2 | no | — |
| 63 | C2×#626 | — | 2 | 4 | no | — |
| 64 | C2×#624 | D4 | 1 | 2 | yes | — |
| 65 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 66 | #3796 | — | 2 | 4 | no | — |
| 67 | #3796 | — | 2 | 4 | no | — |
| 68 | C32×Q16 | — | 2 | 2 | no | — |
| 69 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 70 | #3755 | — | 2 | 4 | no | — |
| 71 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 72 | #3745 | — | 2 | 2 | no | — |
| 73 | C8×C3⋊D3 | D4 | 1 | 4 | yes | complemented |
| 74 | C3×#216 | — | 2 | 4 | no | — |
| 75 | C3×#215 | — | 2 | 4 | no | — |
| 76 | C3×(C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 77 | C3×Dic3⋊C4 | — | 2 | 4 | no | — |
| 78 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 79 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 80 | C3×#204 | — | 2 | 4 | no | — |
| 81 | #3722 | — | 2 | 4 | no | — |
| 82 | Dic32 | D4 | 1 | 2 | yes | — |
| 83 | #3718 | — | 2 | 2 | no | — |
| 84 | #3717 | — | 2 | 4 | no | — |
| 85 | #3714 | — | 2 | 4 | no | — |
| 86 | #3713 | — | 2 | 2 | no | — |
| 87 | #3710 | D4 | 1 | 4 | yes | complemented |
| 88 | #3150 | — | 9 | 1 | no | Sylow |
| 89 | C2×#239 | — | 3 | 2 | no | — |
| 90 | C2×#239 | — | 3 | 2 | no | — |
| 91 | C2×#239 | — | 3 | 2 | no | — |
| 92 | C2×#239 | — | 6 | 2 | no | — |
| 93 | C2×#237 | — | 3 | 2 | no | — |
| 94 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 95 | C2×C3×Q16 | — | 3 | 2 | no | — |
| 96 | C2×C3×Q16 | C2×D3 | 1 | 2 | yes | — |
| 97 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 98 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 99 | C3×C4⋊Q8 | — | 3 | 2 | no | — |
| 100 | C3×#124 | — | 3 | 2 | no | — |
| 101 | #947 | — | 3 | 2 | no | — |
| 102 | #947 | C2×D3 | 1 | 2 | yes | — |
| 103 | #944 | C2×D3 | 1 | 2 | yes | — |
| 104 | C2×#216 | — | 3 | 2 | no | — |
| 105 | C2×#216 | C2×D3 | 1 | 2 | yes | — |
| 106 | C2×#215 | — | 3 | 2 | no | — |
| 107 | C2×#215 | — | 3 | 2 | no | — |
| 108 | C2×#215 | — | 3 | 2 | no | — |
| 109 | C2×#215 | — | 6 | 2 | no | — |
| 110 | C2×#215 | C2×D3 | 1 | 2 | yes | — |
| 111 | #940 | — | 3 | 2 | no | — |
| 112 | C2×#213 | — | 3 | 2 | no | — |
| 113 | C2×#213 | — | 3 | 2 | no | — |
| 114 | #919 | — | 6 | 8 | no | — |
| 115 | #919 | — | 6 | 8 | no | — |
| 116 | #919 | — | 6 | 8 | no | — |
| 117 | #916 | — | 6 | 8 | no | — |
| 118 | #916 | — | 6 | 8 | no | — |
| 119 | C2×D24 | — | 3 | 2 | no | — |
| 120 | C2×D24 | — | 3 | 2 | no | — |
| 121 | C2×D24 | — | 6 | 1 | no | — |
| 122 | C2×#204 | — | 3 | 2 | no | — |
| 123 | C2×#204 | C2×D3 | 1 | 2 | yes | — |
| 124 | C2×D3×C8 | — | 3 | 2 | no | — |
| 125 | C2×D3×C8 | — | 3 | 2 | no | — |
| 126 | C2×D3×C8 | — | 6 | 1 | no | — |
| 127 | #895 | — | 6 | 4 | no | — |
| 128 | #893 | — | 6 | 4 | no | — |
| 129 | #884 | — | 6 | 4 | no | — |
| 130 | #67⋊C4 | — | 6 | 4 | no | — |
| 131 | #875 | — | 3 | 2 | no | — |
| 132 | #874 | — | 3 | 2 | no | — |
| 133 | C42×D3 | — | 3 | 2 | no | — |
| 134 | C3×#97 | — | 3 | 2 | no | — |
| 135 | #815 | — | 3 | 2 | no | — |
| 136 | #815 | C2×D3 | 1 | 2 | yes | — |
| 137 | #803 | — | 3 | 2 | no | — |
| 138 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 139 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C22×C3×D3 | — | 2 | 2 | no | — |
| 141 | C32×Q8 | — | 2 | 2 | no | — |
| 142 | C32×Q8 | — | 2 | 2 | no | — |
| 143 | C2×C32×C4 | — | 2 | 2 | no | — |
| 144 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 145 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 147 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 148 | C4⋊(C3⋊D3) | — | 4 | 4 | no | — |
| 149 | C4×C3⋊D3 | — | 4 | 4 | no | — |
| 150 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 151 | C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 152 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 153 | C2×C3×Dic3 | C2×D4 | 1 | 4 | yes | — |
| 154 | C3×D12 | — | 2 | 2 | no | — |
| 155 | C3×D12 | — | 2 | 2 | no | — |
| 156 | C3×Dic6 | — | 2 | 2 | no | — |
| 157 | C3×Dic6 | — | 2 | 2 | no | — |
| 158 | #626 | — | 4 | 8 | no | — |
| 159 | #626 | — | 4 | 4 | no | — |
| 160 | #624 | — | 4 | 2 | no | — |
| 161 | D3×Dic3 | — | 4 | 4 | no | — |
| 162 | C32×C8 | C2×D4 | 1 | 2 | yes | — |
| 163 | C3⋊(C3⋊C8) | C2×D4 | 1 | 2 | yes | — |
| 164 | C3×C3⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 165 | C2×#135 | — | 9 | 1 | no | — |
| 166 | C2×#135 | — | 9 | 2 | no | — |
| 167 | C2×#135 | — | 9 | 1 | no | — |
| 168 | #532 | — | 9 | 2 | no | — |
| 169 | #497 | — | 3 | 2 | no | — |
| 170 | #497 | — | 9 | 2 | no | — |
| 171 | #496 | — | 9 | 2 | no | — |
| 172 | #496 | — | 9 | 2 | no | — |
| 173 | C2×#97 | — | 9 | 1 | no | — |
| 174 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 175 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 176 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 177 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 178 | C2×C3×D4 | — | 3 | 2 | no | — |
| 179 | C2×#67 | — | 6 | 2 | no | — |
| 180 | C2×#67 | — | 6 | 4 | no | — |
| 181 | C22×Dic3 | — | 6 | 2 | no | — |
| 182 | #239 | — | 6 | 4 | no | — |
| 183 | #239 | — | 6 | 4 | no | — |
| 184 | #239 | — | 6 | 4 | no | — |
| 185 | #239 | — | 6 | 4 | no | — |
| 186 | #239 | — | 6 | 4 | no | — |
| 187 | #239 | — | 6 | 4 | no | — |
| 188 | #239 | — | 6 | 8 | no | — |
| 189 | #239 | — | 12 | 4 | no | — |
| 190 | #237 | — | 6 | 4 | no | — |
| 191 | #237 | — | 6 | 4 | no | — |
| 192 | C2×D12 | — | 3 | 2 | no | — |
| 193 | C2×D12 | — | 3 | 2 | no | — |
| 194 | C2×D12 | — | 6 | 2 | no | — |
| 195 | C2×D12 | — | 6 | 2 | no | — |
| 196 | C2×D12 | — | 6 | 2 | no | — |
| 197 | C2×D12 | — | 6 | 4 | no | — |
| 198 | C2×D12 | — | 6 | 2 | no | — |
| 199 | C2×D12 | — | 12 | 2 | no | — |
| 200 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 201 | C2×C4×D3 | — | 3 | 2 | no | — |
| 202 | C2×C4×D3 | — | 3 | 4 | no | — |
| 203 | C2×C4×D3 | — | 6 | 1 | no | — |
| 204 | C2×C4×D3 | — | 6 | 2 | no | — |
| 205 | C2×C4×D3 | — | 6 | 2 | no | — |
| 206 | C2×C4×D3 | — | 6 | 2 | no | — |
| 207 | C2×C4×D3 | — | 12 | 2 | no | — |
| 208 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 209 | C3×Q16 | — | 2 | 4 | no | — |
| 210 | C3×Q16 | — | 2 | 4 | no | — |
| 211 | C3×Q16 | — | 6 | 4 | no | — |
| 212 | C3×SD16 | — | 6 | 4 | no | — |
| 213 | C3×SD16 | — | 6 | 4 | no | — |
| 214 | C2×C3×C8 | — | 2 | 1 | no | — |
| 215 | C2×C3×C8 | — | 3 | 2 | no | — |
| 216 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 217 | C3×C4⋊C4 | — | 6 | 4 | no | — |
| 218 | C3×C22⋊C4 | — | 6 | 4 | no | — |
| 219 | C3×C42 | — | 3 | 2 | no | — |
| 220 | #216 | — | 2 | 4 | no | — |
| 221 | #216 | — | 6 | 4 | no | — |
| 222 | #215 | — | 2 | 4 | no | — |
| 223 | #215 | — | 6 | 4 | no | — |
| 224 | #215 | — | 6 | 4 | no | — |
| 225 | #215 | — | 6 | 8 | no | — |
| 226 | #215 | — | 6 | 4 | no | — |
| 227 | #213 | — | 6 | 4 | no | — |
| 228 | #213 | — | 6 | 4 | no | — |
| 229 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 230 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 231 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 232 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 233 | C4×Dic3 | — | 3 | 4 | no | — |
| 234 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 235 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 236 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 237 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 238 | D24 | — | 6 | 4 | no | — |
| 239 | D24 | — | 6 | 4 | no | — |
| 240 | D24 | — | 6 | 4 | no | — |
| 241 | #204 | — | 2 | 4 | no | — |
| 242 | #204 | — | 6 | 4 | no | — |
| 243 | D3×C8 | — | 3 | 8 | no | — |
| 244 | D3×C8 | — | 3 | 8 | no | — |
| 245 | D3×C8 | — | 6 | 4 | no | — |
| 246 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 247 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 248 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 249 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 250 | C2×C3⋊D3 | #127 | 1 | 2 | yes | — |
| 251 | C2×C3×D3 | — | 4 | 2 | no | — |
| 252 | C2×C3×D3 | — | 4 | 4 | no | — |
| 253 | C32×C4 | — | 4 | 2 | no | — |
| 254 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 255 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 256 | C3⋊Dic3 | #127 | 1 | 2 | yes | — |
| 257 | C3×Dic3 | — | 2 | 4 | no | — |
| 258 | C3×Dic3 | — | 4 | 2 | no | — |
| 259 | C2×#41 | — | 9 | 2 | no | — |
| 260 | C2×#41 | — | 9 | 2 | no | — |
| 261 | #135 | — | 18 | 4 | no | — |
| 262 | #135 | — | 18 | 8 | no | — |
| 263 | #135 | — | 18 | 4 | no | — |
| 264 | C2×Q16 | — | 3 | 2 | no | — |
| 265 | C2×Q16 | — | 9 | 1 | no | — |
| 266 | C2×Q16 | D32 | 1 | 1 | yes | characteristic |
| 267 | C2×SD16 | — | 3 | 2 | no | — |
| 268 | C2×SD16 | — | 3 | 2 | no | — |
| 269 | C2×SD16 | — | 9 | 2 | no | — |
| 270 | C2×SD16 | — | 9 | 2 | no | — |
| 271 | C2×D8 | — | 9 | 2 | no | — |
| 272 | C2×D8 | — | 9 | 1 | no | — |
| 273 | C2×D8 | — | 9 | 1 | no | — |
| 274 | C22×C8 | — | 9 | 1 | no | — |
| 275 | C22×C8 | — | 9 | 1 | no | — |
| 276 | C4⋊Q8 | — | 3 | 2 | no | — |
| 277 | #127 | — | 9 | 2 | no | — |
| 278 | #124 | — | 3 | 2 | no | — |
| 279 | #124 | — | 9 | 2 | no | — |
| 280 | #121 | — | 18 | 4 | no | — |
| 281 | C4×D4 | — | 18 | 4 | no | — |
| 282 | C2×C42 | — | 9 | 1 | no | — |
| 283 | #97 | — | 3 | 2 | no | — |
| 284 | #97 | — | 9 | 2 | no | — |
| 285 | C23×C3 | — | 6 | 2 | no | — |
| 286 | C22×D3 | — | 2 | 2 | no | — |
| 287 | C22×D3 | — | 3 | 2 | no | — |
| 288 | C22×D3 | — | 6 | 1 | no | — |
| 289 | C22×D3 | — | 6 | 2 | no | — |
| 290 | C22×D3 | — | 6 | 2 | no | — |
| 291 | C22×D3 | — | 12 | 2 | no | — |
| 292 | C3×Q8 | — | 2 | 4 | no | — |
| 293 | C3×Q8 | — | 2 | 2 | no | — |
| 294 | C3×Q8 | — | 2 | 2 | no | — |
| 295 | C3×Q8 | — | 2 | 2 | no | — |
| 296 | C3×Q8 | — | 2 | 2 | no | — |
| 297 | C3×Q8 | — | 4 | 2 | no | — |
| 298 | C3×Q8 | — | 6 | 2 | no | — |
| 299 | C3×Q8 | — | 6 | 2 | no | — |
| 300 | C3×D4 | — | 6 | 2 | no | — |
| 301 | C3×D4 | — | 6 | 2 | no | — |
| 302 | C2×C3×C4 | — | 2 | 2 | no | — |
| 303 | C2×C3×C4 | — | 2 | 2 | no | — |
| 304 | C2×C3×C4 | — | 2 | 1 | no | — |
| 305 | C2×C3×C4 | — | 3 | 4 | no | — |
| 306 | C2×C3×C4 | — | 4 | 2 | no | — |
| 307 | C2×C3×C4 | — | 6 | 2 | no | — |
| 308 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 309 | #67 | — | 12 | 8 | no | — |
| 310 | #67 | — | 12 | 4 | no | — |
| 311 | C2×Dic3 | — | 2 | 2 | no | — |
| 312 | C2×Dic3 | — | 3 | 2 | no | — |
| 313 | C2×Dic3 | — | 6 | 1 | no | — |
| 314 | C2×Dic3 | — | 12 | 4 | no | — |
| 315 | C2×Dic3 | D3×D4 | 1 | 4 | yes | — |
| 316 | D12 | — | 2 | 2 | no | — |
| 317 | D12 | — | 2 | 2 | no | — |
| 318 | D12 | — | 6 | 4 | no | — |
| 319 | D12 | — | 6 | 2 | no | — |
| 320 | D12 | — | 6 | 2 | no | — |
| 321 | D12 | — | 6 | 2 | no | — |
| 322 | D12 | — | 6 | 2 | no | — |
| 323 | D12 | — | 12 | 2 | no | — |
| 324 | D12 | — | 12 | 4 | no | — |
| 325 | D12 | — | 12 | 4 | no | — |
| 326 | D12 | — | 12 | 8 | no | — |
| 327 | D12 | — | 12 | 8 | no | — |
| 328 | D12 | — | 12 | 4 | no | — |
| 329 | C4×D3 | — | 3 | 4 | no | — |
| 330 | C4×D3 | — | 3 | 4 | no | — |
| 331 | C4×D3 | — | 6 | 2 | no | — |
| 332 | C4×D3 | — | 6 | 2 | no | — |
| 333 | C4×D3 | — | 12 | 4 | no | — |
| 334 | C4×D3 | — | 12 | 4 | no | — |
| 335 | C4×D3 | — | 12 | 4 | no | — |
| 336 | C4×D3 | — | 12 | 4 | no | — |
| 337 | C4×D3 | — | 12 | 8 | no | — |
| 338 | Dic6 | — | 2 | 2 | no | — |
| 339 | Dic6 | — | 2 | 2 | no | — |
| 340 | C3×C8 | — | 2 | 2 | no | — |
| 341 | C3×C8 | — | 3 | 4 | no | — |
| 342 | C3×C8 | D3×D4 | 1 | 4 | yes | — |
| 343 | C3⋊C8 | — | 3 | 4 | no | — |
| 344 | C3⋊C8 | — | 6 | 2 | no | — |
| 345 | C3⋊C8 | D3×D4 | 1 | 4 | yes | — |
| 346 | C2×C32 | C2×#127 | 1 | 1 | yes | characteristic |
| 347 | C2×C32 | #575 | 1 | 2 | yes | — |
| 348 | C3⋊D3 | — | 2 | 2 | no | — |
| 349 | C3⋊D3 | — | 8 | 2 | no | — |
| 350 | C3×D3 | — | 8 | 2 | no | — |
| 351 | #41 | — | 18 | 4 | no | — |
| 352 | #41 | — | 18 | 4 | no | — |
| 353 | #41 | — | 18 | 4 | no | — |
| 354 | #41 | — | 18 | 4 | no | — |
| 355 | C2×Q8 | — | 3 | 2 | no | — |
| 356 | C2×Q8 | C2×D32 | 1 | 2 | yes | — |
| 357 | C2×D4 | — | 3 | 2 | no | — |
| 358 | C2×D4 | — | 9 | 2 | no | — |
| 359 | C2×D4 | — | 18 | 2 | no | — |
| 360 | C2×D4 | — | 18 | 4 | no | — |
| 361 | C2×D4 | — | 18 | 2 | no | — |
| 362 | C22×C4 | — | 9 | 2 | no | — |
| 363 | C22×C4 | — | 9 | 1 | no | — |
| 364 | C22×C4 | — | 18 | 2 | no | — |
| 365 | C22×C4 | — | 18 | 2 | no | — |
| 366 | Q16 | — | 2 | 2 | no | — |
| 367 | Q16 | — | 6 | 4 | no | — |
| 368 | Q16 | — | 18 | 2 | no | — |
| 369 | SD16 | — | 6 | 4 | no | — |
| 370 | SD16 | — | 6 | 4 | no | — |
| 371 | SD16 | — | 18 | 4 | no | — |
| 372 | SD16 | — | 18 | 4 | no | — |
| 373 | D8 | — | 18 | 4 | no | — |
| 374 | D8 | — | 18 | 2 | no | — |
| 375 | D8 | — | 18 | 2 | no | — |
| 376 | C2×C8 | — | 3 | 2 | no | — |
| 377 | C2×C8 | — | 9 | 4 | no | — |
| 378 | C2×C8 | — | 9 | 1 | no | — |
| 379 | C2×C8 | — | 9 | 4 | no | — |
| 380 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 381 | C4⋊C4 | — | 6 | 4 | no | — |
| 382 | C22⋊C4 | — | 6 | 4 | no | — |
| 383 | C22⋊C4 | — | 18 | 4 | no | — |
| 384 | C42 | — | 3 | 2 | no | — |
| 385 | C42 | — | 9 | 2 | no | — |
| 386 | C22×C3 | — | 2 | 1 | no | — |
| 387 | C22×C3 | — | 12 | 2 | no | — |
| 388 | C22×C3 | — | 12 | 4 | no | — |
| 389 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 390 | C2×D3 | — | 3 | 4 | no | — |
| 391 | C2×D3 | — | 4 | 2 | no | — |
| 392 | C2×D3 | — | 4 | 4 | no | — |
| 393 | C2×D3 | — | 6 | 2 | no | — |
| 394 | C2×D3 | — | 6 | 4 | no | — |
| 395 | C2×D3 | — | 12 | 2 | no | — |
| 396 | C2×D3 | — | 12 | 4 | no | — |
| 397 | C2×D3 | — | 12 | 2 | no | — |
| 398 | C2×D3 | — | 12 | 2 | no | — |
| 399 | C2×D3 | — | 12 | 4 | no | — |
| 400 | C2×D3 | — | 12 | 4 | no | — |
| 401 | C2×D3 | — | 24 | 4 | no | — |
| 402 | C3×C4 | — | 2 | 1 | no | — |
| 403 | C3×C4 | — | 2 | 1 | no | — |
| 404 | C3×C4 | — | 4 | 4 | no | — |
| 405 | C3×C4 | — | 4 | 2 | no | — |
| 406 | C3×C4 | — | 4 | 2 | no | — |
| 407 | C3×C4 | — | 6 | 4 | no | — |
| 408 | C3×C4 | — | 12 | 2 | no | — |
| 409 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 410 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 411 | Dic3 | — | 2 | 4 | no | — |
| 412 | Dic3 | — | 3 | 4 | no | — |
| 413 | Dic3 | — | 4 | 2 | no | — |
| 414 | Dic3 | — | 6 | 2 | no | — |
| 415 | C32 | #3150 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 416 | C23 | — | 6 | 2 | no | — |
| 417 | C23 | — | 9 | 1 | no | — |
| 418 | C23 | — | 18 | 2 | no | — |
| 419 | Q8 | — | 2 | 2 | no | — |
| 420 | Q8 | — | 2 | 2 | no | — |
| 421 | Q8 | — | 6 | 2 | no | — |
| 422 | Q8 | — | 6 | 2 | no | — |
| 423 | D4 | — | 6 | 2 | no | — |
| 424 | D4 | — | 6 | 2 | no | — |
| 425 | D4 | — | 18 | 2 | no | — |
| 426 | D4 | — | 18 | 2 | no | — |
| 427 | D4 | — | 36 | 4 | no | — |
| 428 | D4 | — | 36 | 8 | no | — |
| 429 | D4 | — | 36 | 4 | no | — |
| 430 | C2×C4 | — | 2 | 2 | no | — |
| 431 | C2×C4 | — | 3 | 4 | no | — |
| 432 | C2×C4 | — | 6 | 2 | no | — |
| 433 | C2×C4 | — | 9 | 1 | no | — |
| 434 | C2×C4 | — | 9 | 2 | no | — |
| 435 | C2×C4 | — | 9 | 2 | no | — |
| 436 | C2×C4 | — | 36 | 4 | no | — |
| 437 | C2×C4 | — | 36 | 2 | no | — |
| 438 | C2×C4 | — | 36 | 4 | no | — |
| 439 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 440 | C8 | — | 3 | 4 | no | — |
| 441 | C8 | — | 9 | 2 | no | — |
| 442 | C8 | #3811 | 1 | 2 | yes | — |
| 443 | C2×C3 | — | 2 | 2 | no | — |
| 444 | C2×C3 | — | 2 | 1 | no | — |
| 445 | C2×C3 | — | 24 | 2 | no | — |
| 446 | C2×C3 | D3×#127 | 1 | 2 | yes | — |
| 447 | C2×C3 | #5777 | 1 | 4 | yes | — |
| 448 | D3 | — | 6 | 4 | no | — |
| 449 | D3 | — | 8 | 2 | no | — |
| 450 | D3 | — | 12 | 2 | no | — |
| 451 | D3 | — | 24 | 4 | no | — |
| 452 | D3 | — | 24 | 2 | no | — |
| 453 | D3 | — | 24 | 2 | no | — |
| 454 | C22 | — | 9 | 2 | no | — |
| 455 | C22 | — | 12 | 4 | no | — |
| 456 | C22 | — | 12 | 2 | no | — |
| 457 | C22 | — | 18 | 2 | no | — |
| 458 | C22 | — | 36 | 4 | no | — |
| 459 | C22 | — | 36 | 2 | no | — |
| 460 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 461 | C4 | — | 4 | 2 | no | — |
| 462 | C4 | — | 6 | 4 | no | — |
| 463 | C4 | — | 9 | 2 | no | — |
| 464 | C4 | — | 12 | 2 | no | — |
| 465 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 466 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 467 | C3 | — | 2 | 1 | no | — |
| 468 | C3 | #81869 | 1 | 2 | yes | complemented |
| 469 | C2 | — | 18 | 2 | no | — |
| 470 | C2 | — | 24 | 2 | no | — |
| 471 | C2 | — | 72 | 2 | no | — |
| 472 | C2 | #10594762 | 1 | 2 | yes | — |
| 473 | C2 | #10595300 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64128 | C2 | semidirect |
| 2. #10595363 | C2 | semidirect |
| 3. C2×#63950 | C2 | semidirect |
| 4. C2×#63809 | C2 | semidirect |
| 5. C3×#5190 | C2 | semidirect |
| 6. #10591619 | C2 | semidirect |
| 7. #10591608 | C2 | semidirect |
| 8. #10590881 | C2 | semidirect |
| 9. #10590668 | C2 | semidirect |
| 46. #5190 | D3 | semidirect |
| 73. C8×C3⋊D3 | D4 | semidirect |
| 87. #3710 | D4 | semidirect |
| 415. C32 | #3150 | semidirect |
| 468. C3 | #81869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64128 | 2 |
| #10595363 | 2 |
| C2×#63950 | 2 |
| C2×#63809 | 2 |
| C3×#5190 | 2 |
| #10591619 | 2 |
| #10591608 | 2 |
| #10590881 | 2 |
| #10590668 | 2 |
| #81869 | 3 |