Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
586 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 72 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 | #10596154 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#5055 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10590374 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10590294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#4540 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10589087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10589087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #71244 | — | 3 | 1 | no | maximal |
| 9 | #68352 | — | 3 | 1 | no | maximal |
| 10 | C32×#124 | C22 | 1 | 1 | yes | characteristic |
| 11 | #64156 | — | 2 | 1 | no | — |
| 12 | #64146 | — | 2 | 1 | no | — |
| 13 | #64094 | — | 2 | 1 | no | — |
| 14 | #64094 | — | 2 | 1 | no | — |
| 15 | #64091 | — | 2 | 1 | no | — |
| 16 | #64091 | — | 2 | 1 | no | — |
| 17 | #64084 | C22 | 1 | 1 | yes | characteristic |
| 18 | #64084 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#869 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#3719 | — | 2 | 1 | no | — |
| 21 | C2×#3717 | — | 2 | 1 | no | — |
| 22 | C3×#835 | — | 2 | 1 | no | — |
| 23 | C3×#832 | — | 2 | 1 | no | — |
| 24 | C3×#803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3×#803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×#803 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #63567 | — | 2 | 1 | no | — |
| 28 | #63564 | — | 2 | 1 | no | — |
| 29 | #5683 | — | 3 | 1 | no | — |
| 30 | #5683 | — | 3 | 1 | no | — |
| 31 | #5683 | — | 6 | 1 | no | — |
| 32 | C3×#489 | — | 3 | 1 | no | — |
| 33 | #5089 | — | 3 | 1 | no | — |
| 34 | #5086 | — | 3 | 1 | no | — |
| 35 | #5055 | D3 | 1 | 1 | yes | characteristic, complemented |
| 36 | #4715 | — | 3 | 1 | no | — |
| 37 | #4714 | — | 3 | 1 | no | — |
| 38 | C3×#329 | — | 3 | 1 | no | — |
| 39 | #4540 | D3 | 1 | 1 | yes | characteristic, complemented |
| 40 | #4464 | — | 3 | 1 | no | — |
| 41 | #4464 | — | 3 | 1 | no | — |
| 42 | #4464 | — | 3 | 1 | no | — |
| 43 | #4464 | — | 3 | 1 | no | — |
| 44 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 45 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic |
| 47 | C2×#638 | — | 2 | 1 | no | — |
| 48 | C2×#638 | — | 2 | 1 | no | — |
| 49 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 50 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 51 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 52 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 53 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 55 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 56 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 57 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 58 | #3757 | — | 2 | 1 | no | — |
| 59 | #3752 | — | 2 | 1 | no | — |
| 60 | #3752 | — | 2 | 1 | no | — |
| 61 | #3752 | — | 2 | 1 | no | — |
| 62 | #3752 | — | 2 | 1 | no | — |
| 63 | #3752 | — | 2 | 1 | no | — |
| 64 | #3752 | — | 2 | 1 | no | — |
| 65 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 66 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 67 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 68 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 69 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 70 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 71 | #3719 | — | 4 | 2 | no | — |
| 72 | #3717 | — | 4 | 2 | no | — |
| 73 | #1659 | — | 9 | 1 | no | Sylow |
| 74 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 75 | C3×#124 | — | 2 | 1 | no | — |
| 76 | C3×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 77 | C3×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 78 | #947 | — | 6 | 2 | no | — |
| 79 | #947 | — | 6 | 1 | no | — |
| 80 | #947 | — | 6 | 1 | no | — |
| 81 | C2×#216 | — | 6 | 1 | no | — |
| 82 | C2×#215 | — | 6 | 1 | no | — |
| 83 | #937 | — | 6 | 2 | no | — |
| 84 | #937 | — | 6 | 1 | no | — |
| 85 | #937 | — | 6 | 1 | no | — |
| 86 | C2×Dic12 | — | 6 | 1 | no | — |
| 87 | C2×#204 | — | 6 | 1 | no | — |
| 88 | #885 | — | 6 | 1 | no | — |
| 89 | #885 | — | 6 | 1 | no | — |
| 90 | #885 | — | 6 | 1 | no | — |
| 91 | #885 | — | 6 | 1 | no | — |
| 92 | #885 | — | 6 | 2 | no | — |
| 93 | #885 | — | 6 | 2 | no | — |
| 94 | #882 | — | 6 | 1 | no | — |
| 95 | #882 | — | 6 | 1 | no | — |
| 96 | #882 | — | 6 | 1 | no | — |
| 97 | #882 | — | 6 | 1 | no | — |
| 98 | #882 | — | 6 | 2 | no | — |
| 99 | #882 | — | 6 | 2 | no | — |
| 100 | #875 | — | 3 | 1 | no | — |
| 101 | #875 | — | 3 | 1 | no | — |
| 102 | #875 | — | 3 | 1 | no | — |
| 103 | #875 | — | 3 | 1 | no | — |
| 104 | #875 | — | 6 | 1 | no | — |
| 105 | #875 | — | 6 | 1 | no | — |
| 106 | #869 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 107 | C3×#103 | — | 6 | 1 | no | — |
| 108 | C3×#102 | — | 6 | 1 | no | — |
| 109 | C3×#97 | — | 3 | 1 | no | — |
| 110 | C3×#97 | — | 3 | 1 | no | — |
| 111 | C3×#97 | — | 3 | 1 | no | — |
| 112 | #835 | — | 2 | 1 | no | — |
| 113 | #832 | — | 2 | 1 | no | — |
| 114 | #821 | — | 6 | 1 | no | — |
| 115 | #816 | — | 6 | 1 | no | — |
| 116 | #810 | — | 6 | 1 | no | — |
| 117 | #809 | — | 6 | 1 | no | — |
| 118 | #803 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 119 | #803 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 120 | #803 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 121 | C23×C32 | — | 2 | 1 | no | — |
| 122 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 123 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 124 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 125 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 126 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 127 | C32×Q8 | — | 4 | 1 | no | — |
| 128 | C32×D4 | — | 4 | 1 | no | — |
| 129 | C2×C32×C4 | — | 2 | 1 | no | — |
| 130 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | #638 | — | 8 | 1 | no | — |
| 134 | #638 | — | 8 | 1 | no | — |
| 135 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 136 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 137 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 138 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 139 | C4⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 140 | #634 | — | 4 | 1 | no | — |
| 141 | #634 | — | 4 | 1 | no | — |
| 142 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 143 | C3×Dic6 | — | 4 | 1 | no | — |
| 144 | C3×Dic6 | — | 4 | 1 | no | — |
| 145 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 146 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 147 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 148 | H(3,𝔽4) | — | 9 | 1 | no | — |
| 149 | #497 | — | 9 | 1 | no | — |
| 150 | #489 | — | 3 | 1 | no | — |
| 151 | #489 | — | 9 | 1 | no | — |
| 152 | #329 | — | 3 | 1 | no | — |
| 153 | #329 | — | 9 | 1 | no | — |
| 154 | #329 | — | 9 | 1 | no | — |
| 155 | C23×D3 | — | 6 | 2 | no | — |
| 156 | C23×D3 | — | 6 | 1 | no | — |
| 157 | C23×D3 | — | 6 | 1 | no | — |
| 158 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 159 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 160 | C2×C3×Q8 | D12 | 1 | 1 | yes | characteristic |
| 161 | C2×C3×Q8 | #67 | 1 | 1 | yes | characteristic |
| 162 | C2×C3×D4 | — | 2 | 1 | no | — |
| 163 | C2×C3×D4 | D12 | 1 | 1 | yes | characteristic |
| 164 | C2×C3×D4 | #67 | 1 | 1 | yes | characteristic |
| 165 | C2×#67 | — | 6 | 2 | no | — |
| 166 | C2×#67 | — | 6 | 2 | no | — |
| 167 | C2×#67 | — | 6 | 1 | no | — |
| 168 | C2×#67 | — | 6 | 1 | no | — |
| 169 | C2×#67 | — | 6 | 1 | no | — |
| 170 | C2×#67 | — | 6 | 1 | no | — |
| 171 | C2×D12 | — | 3 | 1 | no | — |
| 172 | C2×D12 | — | 3 | 1 | no | — |
| 173 | C2×D12 | — | 3 | 1 | no | — |
| 174 | C2×D12 | — | 3 | 1 | no | — |
| 175 | C2×D12 | — | 6 | 1 | no | — |
| 176 | C2×D12 | — | 6 | 1 | no | — |
| 177 | C2×D12 | — | 6 | 2 | no | — |
| 178 | C2×D12 | — | 6 | 1 | no | — |
| 179 | C2×D12 | — | 6 | 1 | no | — |
| 180 | C2×Dic6 | — | 2 | 1 | no | — |
| 181 | C2×Dic6 | — | 3 | 1 | no | — |
| 182 | C2×Dic6 | — | 3 | 1 | no | — |
| 183 | C2×Dic6 | — | 3 | 1 | no | — |
| 184 | C2×Dic6 | — | 3 | 1 | no | — |
| 185 | C2×Dic6 | — | 6 | 1 | no | — |
| 186 | C2×Dic6 | — | 6 | 1 | no | — |
| 187 | C2×C3×C8 | — | 6 | 1 | no | — |
| 188 | C2×C3×C8 | — | 6 | 1 | no | — |
| 189 | C2×C3×C8 | — | 6 | 1 | no | — |
| 190 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 191 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 192 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 193 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 194 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 195 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 196 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 197 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 198 | C3×C42 | — | 2 | 1 | no | — |
| 199 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 200 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 201 | #217 | — | 6 | 2 | no | — |
| 202 | #217 | — | 6 | 1 | no | — |
| 203 | #217 | — | 6 | 1 | no | — |
| 204 | #216 | — | 12 | 2 | no | — |
| 205 | #215 | — | 12 | 2 | no | — |
| 206 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 207 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 208 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 209 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 210 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 211 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 212 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 213 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 214 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 215 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 216 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 217 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 218 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 219 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 220 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 221 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 222 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 223 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 224 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 225 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 226 | C4×Dic3 | — | 6 | 2 | no | — |
| 227 | C4×Dic3 | — | 6 | 1 | no | — |
| 228 | C4×Dic3 | — | 6 | 1 | no | — |
| 229 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 230 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 231 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 232 | Dic12 | — | 12 | 2 | no | — |
| 233 | #204 | — | 12 | 2 | no | — |
| 234 | C22×C32 | — | 4 | 1 | no | — |
| 235 | C22×C32 | — | 4 | 1 | no | — |
| 236 | C22×C32 | — | 4 | 1 | no | — |
| 237 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 238 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 239 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 240 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 241 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 242 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 243 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 244 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 245 | C32×C4 | — | 2 | 1 | no | — |
| 246 | C32×C4 | — | 2 | 1 | no | — |
| 247 | C32×C4 | — | 2 | 1 | no | — |
| 248 | C32×C4 | — | 4 | 1 | no | — |
| 249 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 250 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 251 | C3×Dic3 | — | 8 | 1 | no | — |
| 252 | C2×Q16 | — | 18 | 1 | no | — |
| 253 | C2×SD16 | — | 18 | 1 | no | — |
| 254 | C4⋊Q8 | — | 3 | 1 | no | — |
| 255 | #124 | — | 9 | 1 | no | — |
| 256 | #124 | — | 9 | 1 | no | — |
| 257 | #124 | — | 18 | 1 | no | — |
| 258 | #124 | — | 18 | 1 | no | — |
| 259 | #124 | — | 18 | 1 | no | — |
| 260 | #124 | D32 | 1 | 1 | yes | characteristic |
| 261 | #120 | — | 18 | 1 | no | — |
| 262 | #120 | — | 18 | 1 | no | — |
| 263 | #120 | — | 18 | 1 | no | — |
| 264 | #103 | — | 6 | 1 | no | — |
| 265 | #103 | — | 18 | 1 | no | — |
| 266 | #102 | — | 6 | 1 | no | — |
| 267 | #102 | — | 18 | 1 | no | — |
| 268 | #97 | — | 3 | 1 | no | — |
| 269 | #97 | — | 3 | 1 | no | — |
| 270 | #97 | — | 3 | 1 | no | — |
| 271 | C23×C3 | — | 2 | 2 | no | — |
| 272 | C23×C3 | — | 2 | 1 | no | — |
| 273 | C23×C3 | — | 2 | 1 | no | — |
| 274 | C22×D3 | — | 6 | 2 | no | — |
| 275 | C22×D3 | — | 6 | 2 | no | — |
| 276 | C22×D3 | — | 6 | 1 | no | — |
| 277 | C22×D3 | — | 6 | 1 | no | — |
| 278 | C22×D3 | — | 6 | 1 | no | — |
| 279 | C22×D3 | — | 6 | 1 | no | — |
| 280 | C22×D3 | — | 24 | 2 | no | — |
| 281 | C22×D3 | — | 24 | 2 | no | — |
| 282 | C22×D3 | — | 24 | 2 | no | — |
| 283 | C22×D3 | — | 24 | 1 | no | — |
| 284 | C22×D3 | — | 24 | 1 | no | — |
| 285 | C22×D3 | — | 24 | 1 | no | — |
| 286 | C22×D3 | — | 24 | 1 | no | — |
| 287 | C22×D3 | — | 24 | 1 | no | — |
| 288 | C22×D3 | — | 24 | 1 | no | — |
| 289 | C3×Q8 | — | 4 | 1 | no | — |
| 290 | C3×Q8 | — | 4 | 1 | no | — |
| 291 | C3×Q8 | — | 8 | 1 | no | — |
| 292 | C3×Q8 | — | 12 | 1 | no | — |
| 293 | C3×Q8 | — | 12 | 1 | no | — |
| 294 | C3×D4 | — | 4 | 1 | no | — |
| 295 | C3×D4 | — | 4 | 1 | no | — |
| 296 | C3×D4 | — | 8 | 1 | no | — |
| 297 | C2×C3×C4 | — | 2 | 2 | no | — |
| 298 | C2×C3×C4 | — | 2 | 1 | no | — |
| 299 | C2×C3×C4 | — | 2 | 1 | no | — |
| 300 | C2×C3×C4 | — | 2 | 1 | no | — |
| 301 | C2×C3×C4 | — | 2 | 1 | no | — |
| 302 | C2×C3×C4 | — | 2 | 1 | no | — |
| 303 | C2×C3×C4 | — | 12 | 1 | no | — |
| 304 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 305 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 306 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 308 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 310 | #67 | — | 24 | 2 | no | — |
| 311 | #67 | — | 24 | 2 | no | — |
| 312 | #67 | — | 24 | 1 | no | — |
| 313 | #67 | — | 24 | 1 | no | — |
| 314 | #67 | — | 24 | 1 | no | — |
| 315 | #67 | — | 24 | 1 | no | — |
| 316 | C2×Dic3 | — | 4 | 1 | no | — |
| 317 | C2×Dic3 | — | 6 | 2 | no | — |
| 318 | C2×Dic3 | — | 6 | 2 | no | — |
| 319 | C2×Dic3 | — | 6 | 1 | no | — |
| 320 | C2×Dic3 | — | 6 | 1 | no | — |
| 321 | C2×Dic3 | — | 6 | 1 | no | — |
| 322 | C2×Dic3 | — | 6 | 1 | no | — |
| 323 | D12 | — | 12 | 1 | no | — |
| 324 | D12 | — | 12 | 1 | no | — |
| 325 | D12 | — | 12 | 1 | no | — |
| 326 | D12 | — | 12 | 1 | no | — |
| 327 | D12 | — | 24 | 1 | no | — |
| 328 | D12 | — | 24 | 1 | no | — |
| 329 | D12 | — | 24 | 2 | no | — |
| 330 | D12 | — | 24 | 1 | no | — |
| 331 | D12 | — | 24 | 1 | no | — |
| 332 | Dic6 | — | 4 | 1 | no | — |
| 333 | Dic6 | — | 4 | 1 | no | — |
| 334 | Dic6 | — | 12 | 1 | no | — |
| 335 | Dic6 | — | 12 | 1 | no | — |
| 336 | Dic6 | — | 12 | 1 | no | — |
| 337 | Dic6 | — | 12 | 1 | no | — |
| 338 | Dic6 | — | 24 | 1 | no | — |
| 339 | Dic6 | — | 24 | 1 | no | — |
| 340 | C3×C8 | — | 6 | 2 | no | — |
| 341 | C3×C8 | — | 12 | 1 | no | — |
| 342 | C3×C8 | — | 12 | 1 | no | — |
| 343 | C3⋊C8 | — | 2 | 2 | no | — |
| 344 | C3⋊C8 | — | 4 | 1 | no | — |
| 345 | C3⋊C8 | — | 4 | 1 | no | — |
| 346 | C2×C32 | — | 8 | 1 | no | — |
| 347 | C2×C32 | #453 | 1 | 1 | yes | characteristic |
| 348 | C2×C32 | #455 | 1 | 1 | yes | characteristic |
| 349 | C2×C32 | #455 | 1 | 1 | yes | characteristic |
| 350 | C3⋊D3 | — | 8 | 1 | no | — |
| 351 | C3⋊D3 | — | 8 | 1 | no | — |
| 352 | C24 | — | 18 | 1 | no | — |
| 353 | C2×Q8 | — | 6 | 1 | no | — |
| 354 | C2×Q8 | — | 9 | 1 | no | — |
| 355 | C2×Q8 | — | 9 | 1 | no | — |
| 356 | C2×Q8 | #626 | 1 | 1 | yes | characteristic |
| 357 | C2×D4 | — | 9 | 1 | no | — |
| 358 | C2×D4 | — | 9 | 1 | no | — |
| 359 | C2×D4 | — | 18 | 1 | no | — |
| 360 | C2×D4 | — | 18 | 1 | no | — |
| 361 | C2×D4 | — | 18 | 1 | no | — |
| 362 | C2×D4 | #626 | 1 | 1 | yes | characteristic |
| 363 | Q16 | — | 36 | 2 | no | — |
| 364 | SD16 | — | 36 | 2 | no | — |
| 365 | C2×C8 | — | 6 | 1 | no | — |
| 366 | C2×C8 | — | 6 | 1 | no | — |
| 367 | C2×C8 | — | 6 | 1 | no | — |
| 368 | C4⋊C4 | — | 6 | 1 | no | — |
| 369 | C4⋊C4 | — | 6 | 1 | no | — |
| 370 | C22⋊C4 | — | 2 | 1 | no | — |
| 371 | C22⋊C4 | — | 2 | 1 | no | — |
| 372 | C22⋊C4 | — | 18 | 1 | no | — |
| 373 | C22⋊C4 | — | 18 | 1 | no | — |
| 374 | C22⋊C4 | — | 18 | 1 | no | — |
| 375 | C22⋊C4 | — | 18 | 1 | no | — |
| 376 | C22⋊C4 | — | 18 | 1 | no | — |
| 377 | C22⋊C4 | — | 18 | 1 | no | — |
| 378 | C22⋊C4 | — | 18 | 1 | no | — |
| 379 | C42 | — | 18 | 1 | no | — |
| 380 | C42 | C2×D32 | 1 | 1 | yes | characteristic |
| 381 | C22×C3 | — | 2 | 1 | no | — |
| 382 | C22×C3 | — | 4 | 2 | no | — |
| 383 | C22×C3 | — | 4 | 2 | no | — |
| 384 | C22×C3 | — | 4 | 2 | no | — |
| 385 | C22×C3 | — | 4 | 1 | no | — |
| 386 | C22×C3 | — | 4 | 1 | no | — |
| 387 | C22×C3 | — | 4 | 1 | no | — |
| 388 | C22×C3 | — | 4 | 1 | no | — |
| 389 | C22×C3 | — | 4 | 1 | no | — |
| 390 | C22×C3 | — | 4 | 1 | no | — |
| 391 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 392 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 393 | C2×D3 | — | 12 | 2 | no | — |
| 394 | C2×D3 | — | 12 | 2 | no | — |
| 395 | C2×D3 | — | 12 | 2 | no | — |
| 396 | C2×D3 | — | 12 | 2 | no | — |
| 397 | C2×D3 | — | 12 | 2 | no | — |
| 398 | C2×D3 | — | 12 | 2 | no | — |
| 399 | C2×D3 | — | 12 | 1 | no | — |
| 400 | C2×D3 | — | 12 | 1 | no | — |
| 401 | C2×D3 | — | 12 | 1 | no | — |
| 402 | C2×D3 | — | 12 | 1 | no | — |
| 403 | C2×D3 | — | 12 | 1 | no | — |
| 404 | C2×D3 | — | 12 | 1 | no | — |
| 405 | C2×D3 | — | 12 | 1 | no | — |
| 406 | C2×D3 | — | 12 | 1 | no | — |
| 407 | C2×D3 | — | 12 | 1 | no | — |
| 408 | C2×D3 | — | 12 | 1 | no | — |
| 409 | C2×D3 | — | 12 | 1 | no | — |
| 410 | C2×D3 | — | 12 | 1 | no | — |
| 411 | C2×D3 | — | 24 | 8 | no | — |
| 412 | C2×D3 | — | 24 | 4 | no | — |
| 413 | C2×D3 | — | 24 | 4 | no | — |
| 414 | C3×C4 | — | 2 | 1 | no | — |
| 415 | C3×C4 | — | 2 | 1 | no | — |
| 416 | C3×C4 | — | 2 | 1 | no | — |
| 417 | C3×C4 | — | 2 | 1 | no | — |
| 418 | C3×C4 | — | 2 | 1 | no | — |
| 419 | C3×C4 | — | 2 | 1 | no | — |
| 420 | C3×C4 | — | 4 | 1 | no | — |
| 421 | C3×C4 | — | 4 | 1 | no | — |
| 422 | C3×C4 | — | 4 | 1 | no | — |
| 423 | C3×C4 | — | 4 | 2 | no | — |
| 424 | C3×C4 | — | 4 | 1 | no | — |
| 425 | C3×C4 | — | 4 | 1 | no | — |
| 426 | C3×C4 | — | 24 | 1 | no | — |
| 427 | Dic3 | — | 8 | 1 | no | — |
| 428 | Dic3 | — | 12 | 2 | no | — |
| 429 | Dic3 | — | 12 | 2 | no | — |
| 430 | Dic3 | — | 12 | 1 | no | — |
| 431 | Dic3 | — | 12 | 1 | no | — |
| 432 | Dic3 | — | 12 | 1 | no | — |
| 433 | Dic3 | — | 12 | 1 | no | — |
| 434 | C32 | #1659 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 435 | C23 | — | 2 | 1 | no | — |
| 436 | C23 | — | 18 | 1 | no | — |
| 437 | C23 | — | 18 | 1 | no | — |
| 438 | C23 | — | 72 | 1 | no | — |
| 439 | C23 | — | 72 | 1 | no | — |
| 440 | C23 | — | 72 | 1 | no | — |
| 441 | Q8 | — | 4 | 1 | no | — |
| 442 | Q8 | — | 12 | 1 | no | — |
| 443 | Q8 | — | 12 | 1 | no | — |
| 444 | Q8 | — | 36 | 1 | no | — |
| 445 | Q8 | — | 36 | 1 | no | — |
| 446 | D4 | — | 4 | 1 | no | — |
| 447 | D4 | — | 36 | 1 | no | — |
| 448 | D4 | — | 36 | 1 | no | — |
| 449 | D4 | — | 72 | 1 | no | — |
| 450 | D4 | — | 72 | 1 | no | — |
| 451 | D4 | — | 72 | 1 | no | — |
| 452 | C2×C4 | — | 2 | 1 | no | — |
| 453 | C2×C4 | — | 12 | 1 | no | — |
| 454 | C2×C4 | — | 18 | 1 | no | — |
| 455 | C2×C4 | — | 18 | 1 | no | — |
| 456 | C2×C4 | C2×#626 | 1 | 1 | yes | characteristic |
| 457 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 458 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 459 | C8 | — | 6 | 2 | no | — |
| 460 | C8 | — | 12 | 1 | no | — |
| 461 | C8 | — | 12 | 1 | no | — |
| 462 | C2×C3 | — | 2 | 1 | no | — |
| 463 | C2×C3 | — | 2 | 1 | no | — |
| 464 | C2×C3 | — | 2 | 1 | no | — |
| 465 | C2×C3 | — | 8 | 2 | no | — |
| 466 | C2×C3 | — | 8 | 1 | no | — |
| 467 | C2×C3 | — | 8 | 1 | no | — |
| 468 | C2×C3 | #4746 | 1 | 1 | yes | characteristic |
| 469 | C2×C3 | #4822 | 1 | 1 | yes | characteristic |
| 470 | C2×C3 | #4825 | 1 | 1 | yes | characteristic |
| 471 | C2×C3 | #5061 | 1 | 1 | yes | characteristic |
| 472 | C2×C3 | #5198 | 1 | 1 | yes | characteristic |
| 473 | C2×C3 | #5202 | 1 | 1 | yes | characteristic |
| 474 | D3 | — | 24 | 2 | no | — |
| 475 | D3 | — | 24 | 2 | no | — |
| 476 | D3 | — | 24 | 1 | no | — |
| 477 | D3 | — | 24 | 1 | no | — |
| 478 | D3 | — | 24 | 1 | no | — |
| 479 | D3 | — | 24 | 1 | no | — |
| 480 | C22 | — | 4 | 1 | no | — |
| 481 | C22 | — | 4 | 1 | no | — |
| 482 | C22 | — | 4 | 1 | no | — |
| 483 | C22 | — | 36 | 1 | no | — |
| 484 | C22 | — | 36 | 1 | no | — |
| 485 | C22 | — | 36 | 1 | no | — |
| 486 | C22 | — | 36 | 1 | no | — |
| 487 | C22 | — | 36 | 1 | no | — |
| 488 | C22 | — | 36 | 1 | no | — |
| 489 | C22 | — | 72 | 4 | no | — |
| 490 | C22 | #63981 | 1 | 1 | yes | characteristic |
| 491 | C4 | — | 2 | 1 | no | — |
| 492 | C4 | — | 2 | 1 | no | — |
| 493 | C4 | — | 2 | 1 | no | — |
| 494 | C4 | — | 4 | 1 | no | — |
| 495 | C4 | — | 24 | 1 | no | — |
| 496 | C4 | — | 36 | 1 | no | — |
| 497 | C4 | — | 36 | 1 | no | — |
| 498 | C3 | — | 2 | 1 | no | — |
| 499 | C3 | #68352 | 1 | 1 | yes | characteristic, complemented |
| 500 | C3 | #71244 | 1 | 1 | yes | characteristic, complemented |
| 501 | C2 | — | 8 | 1 | no | — |
| 502 | C2 | — | 72 | 1 | no | — |
| 503 | C2 | — | 72 | 1 | no | — |
| 504 | C2 | #10591514 | 1 | 1 | yes | characteristic |
| 505 | C2 | #10591667 | 1 | 1 | yes | characteristic |
| 506 | C2 | #10591690 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C3×#5055 | C2 | semidirect |
| 3. #10590374 | C2 | semidirect |
| 4. #10590294 | C2 | semidirect |
| 5. C3×#4540 | C2 | semidirect |
| 6. #10589087 | C2 | semidirect |
| 7. #10589087 | C2 | semidirect |
| 19. C3×#869 | C22 | semidirect |
| 24. C3×#803 | C22 | semidirect |
| 25. C3×#803 | C22 | semidirect |
| 26. C3×#803 | C22 | semidirect |
| 35. #5055 | D3 | semidirect |
| 39. #4540 | D3 | semidirect |
| 106. #869 | C2×D3 | semidirect |
| 118. #803 | C2×D3 | semidirect |
| 119. #803 | C2×D3 | semidirect |
| 120. #803 | C2×D3 | semidirect |
| 434. C32 | #1659 | semidirect |
| 499. C3 | #68352 | semidirect |
| 500. C3 | #71244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596154 | 2 |
| C3×#5055 | 2 |
| #10590374 | 2 |
| #10590294 | 2 |
| C3×#4540 | 2 |
| #10589087 | 2 |
| #71244 | 3 |
| #68352 | 3 |