Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1041 conjugacy classes of subgroups.
The subgroup lattice has 443 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#63809 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10594360 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10592579 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4889 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10590766 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10590668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10590611 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590477 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10590455 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #79772 | — | 3 | 2 | no | maximal |
| 11 | C2×#3796 | C22 | 1 | 2 | yes | — |
| 12 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | #64101 | C22 | 1 | 2 | yes | — |
| 14 | C2×C3×#204 | C22 | 1 | 2 | yes | — |
| 15 | C3×#893 | C22 | 1 | 2 | yes | — |
| 16 | C3×#887 | C22 | 1 | 2 | yes | — |
| 17 | #63904 | — | 2 | 2 | no | — |
| 18 | Dic3×D12 | C22 | 1 | 2 | yes | — |
| 19 | C4×#624 | C22 | 1 | 1 | yes | characteristic |
| 20 | #63880 | — | 2 | 2 | no | — |
| 21 | #63878 | — | 2 | 2 | no | — |
| 22 | C4×D3×Dic3 | — | 2 | 2 | no | — |
| 23 | Dic3×Dic6 | C22 | 1 | 2 | yes | — |
| 24 | C2×#3718 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#3713 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3710 | C22 | 1 | 1 | yes | characteristic |
| 27 | #63809 | C4 | 1 | 8 | yes | complemented |
| 28 | C32×#107 | C22 | 1 | 1 | yes | characteristic |
| 29 | #63645 | C22 | 1 | 1 | yes | characteristic |
| 30 | #63635 | C22 | 1 | 2 | yes | — |
| 31 | C3×#815 | C22 | 1 | 2 | yes | — |
| 32 | C3×#810 | C22 | 1 | 2 | yes | — |
| 33 | C3×#809 | C22 | 1 | 2 | yes | — |
| 34 | #63566 | C22 | 1 | 2 | yes | — |
| 35 | #63563 | C22 | 1 | 2 | yes | — |
| 36 | #63554 | C22 | 1 | 2 | yes | — |
| 37 | C2×#916 | — | 3 | 2 | no | — |
| 38 | C4×#239 | — | 3 | 2 | no | — |
| 39 | C4×#237 | — | 3 | 2 | no | — |
| 40 | C3×#440 | — | 3 | 2 | no | — |
| 41 | #5164 | — | 3 | 2 | no | — |
| 42 | #5030 | — | 3 | 2 | no | — |
| 43 | #5014 | — | 3 | 2 | no | — |
| 44 | #4889 | D3 | 1 | 2 | yes | complemented |
| 45 | #4880 | — | 3 | 2 | no | — |
| 46 | #4880 | — | 6 | 1 | no | — |
| 47 | #4804 | — | 3 | 2 | no | — |
| 48 | #4789 | — | 3 | 2 | no | — |
| 49 | #4785 | — | 3 | 2 | no | — |
| 50 | #4772 | — | 3 | 2 | no | — |
| 51 | #4710 | — | 3 | 2 | no | — |
| 52 | D3×#97 | — | 3 | 2 | no | — |
| 53 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 55 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 56 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 57 | C2×#626 | — | 2 | 2 | no | — |
| 58 | C2×#624 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#624 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 61 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 62 | #3796 | — | 2 | 4 | no | — |
| 63 | #3796 | C2×C4 | 1 | 8 | yes | complemented |
| 64 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 65 | C32×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 66 | #3752 | — | 2 | 2 | no | — |
| 67 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 68 | C4×C3⋊Dic3 | — | 2 | 2 | no | — |
| 69 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 70 | C8×C3⋊D3 | C2×C4 | 1 | 4 | yes | complemented |
| 71 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 72 | C3×Dic3⋊C4 | — | 2 | 2 | no | — |
| 73 | C3×C4×Dic3 | — | 2 | 2 | no | — |
| 74 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 75 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 76 | C3×#204 | C2×C4 | 1 | 8 | yes | complemented |
| 77 | Dic3⋊Dic3 | — | 2 | 2 | no | — |
| 78 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 79 | Dic32 | — | 2 | 2 | no | — |
| 80 | Dic32 | D4 | 1 | 2 | yes | — |
| 81 | #3718 | C2×C4 | 1 | 4 | yes | complemented |
| 82 | #3713 | C2×C4 | 1 | 4 | yes | complemented |
| 83 | #3710 | — | 2 | 2 | no | — |
| 84 | #2943 | — | 9 | 1 | no | Sylow |
| 85 | C2×#239 | — | 3 | 2 | no | — |
| 86 | C2×#237 | — | 3 | 2 | no | — |
| 87 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 88 | C3×C4×Q8 | — | 3 | 2 | no | — |
| 89 | C3×C4×D4 | — | 3 | 2 | no | — |
| 90 | Q8×Dic3 | — | 3 | 2 | no | — |
| 91 | C2×#216 | — | 3 | 2 | no | — |
| 92 | D4×Dic3 | — | 3 | 2 | no | — |
| 93 | C2×#213 | — | 3 | 2 | no | — |
| 94 | C4×#67 | — | 6 | 2 | no | — |
| 95 | C2×C4×Dic3 | — | 6 | 2 | no | — |
| 96 | #916 | — | 3 | 16 | no | — |
| 97 | C2×#204 | C2×D3 | 1 | 2 | yes | — |
| 98 | C2×D3×C8 | — | 3 | 2 | no | — |
| 99 | C2×D3×C8 | — | 3 | 2 | no | — |
| 100 | C2×D3×C8 | — | 6 | 1 | no | — |
| 101 | #893 | — | 6 | 2 | no | — |
| 102 | #893 | C2×D3 | 1 | 2 | yes | — |
| 103 | #892 | — | 3 | 2 | no | — |
| 104 | #892 | — | 3 | 2 | no | — |
| 105 | #892 | — | 6 | 2 | no | — |
| 106 | #892 | — | 6 | 2 | no | — |
| 107 | #887 | C2×D3 | 1 | 2 | yes | — |
| 108 | #67⋊C4 | — | 6 | 2 | no | — |
| 109 | #877 | — | 6 | 2 | no | — |
| 110 | C4×D12 | — | 3 | 2 | no | — |
| 111 | C4×D12 | — | 6 | 2 | no | — |
| 112 | C42×D3 | — | 3 | 2 | no | — |
| 113 | C42×D3 | — | 6 | 2 | no | — |
| 114 | C4×Dic6 | — | 3 | 2 | no | — |
| 115 | C3×#107 | — | 2 | 1 | no | — |
| 116 | C3×#107 | C2×D3 | 1 | 2 | yes | — |
| 117 | C3×#103 | — | 3 | 2 | no | — |
| 118 | C3×#102 | — | 3 | 2 | no | — |
| 119 | C3×#97 | — | 3 | 2 | no | — |
| 120 | #835 | — | 3 | 2 | no | — |
| 121 | #832 | — | 3 | 2 | no | — |
| 122 | #821 | — | 3 | 2 | no | — |
| 123 | #818 | — | 3 | 2 | no | — |
| 124 | #818 | — | 6 | 1 | no | — |
| 125 | #816 | — | 3 | 2 | no | — |
| 126 | #815 | — | 3 | 2 | no | — |
| 127 | #815 | C2×D3 | 1 | 2 | yes | — |
| 128 | #810 | C2×D3 | 1 | 2 | yes | — |
| 129 | #809 | C2×D3 | 1 | 2 | yes | — |
| 130 | #808 | — | 3 | 2 | no | — |
| 131 | #808 | — | 3 | 2 | no | — |
| 132 | #808 | — | 6 | 2 | no | — |
| 133 | #803 | — | 3 | 2 | no | — |
| 134 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C22×C3×D3 | — | 2 | 2 | no | — |
| 136 | C2×C32×C4 | — | 2 | 2 | no | — |
| 137 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 138 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 139 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C4×C3⋊D3 | C22×C4 | 1 | 2 | yes | — |
| 141 | C4×C3⋊D3 | #41 | 1 | 2 | yes | — |
| 142 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 143 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 144 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 145 | C3×D12 | — | 2 | 2 | no | — |
| 146 | C3×D12 | C22×C4 | 1 | 4 | yes | — |
| 147 | C3×C4×D3 | — | 4 | 4 | no | — |
| 148 | C3×Dic6 | — | 2 | 2 | no | — |
| 149 | C3×Dic6 | C22×C4 | 1 | 4 | yes | — |
| 150 | #626 | — | 2 | 8 | no | — |
| 151 | #624 | — | 4 | 1 | no | — |
| 152 | #624 | — | 4 | 1 | no | — |
| 153 | D3×Dic3 | — | 2 | 8 | no | — |
| 154 | D3×Dic3 | — | 4 | 4 | no | — |
| 155 | C32×C8 | C22×C4 | 1 | 2 | yes | — |
| 156 | C3⋊(C3⋊C8) | C22×C4 | 1 | 2 | yes | — |
| 157 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 158 | C2×#135 | — | 9 | 1 | no | — |
| 159 | C4×#41 | — | 9 | 2 | no | — |
| 160 | #442 | — | 9 | 2 | no | — |
| 161 | #441 | — | 9 | 2 | no | — |
| 162 | #440 | — | 3 | 2 | no | — |
| 163 | #440 | — | 9 | 2 | no | — |
| 164 | #427 | — | 9 | 1 | no | — |
| 165 | #416 | — | 9 | 2 | no | — |
| 166 | C2×#97 | — | 9 | 1 | no | — |
| 167 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 168 | C2×C3×D4 | — | 3 | 2 | no | — |
| 169 | C22×C3×C4 | — | 6 | 2 | no | — |
| 170 | C2×#67 | — | 6 | 2 | no | — |
| 171 | C22×Dic3 | — | 6 | 2 | no | — |
| 172 | C22×Dic3 | — | 6 | 2 | no | — |
| 173 | #239 | — | 3 | 8 | no | — |
| 174 | #239 | — | 6 | 4 | no | — |
| 175 | #237 | — | 3 | 8 | no | — |
| 176 | #237 | — | 6 | 4 | no | — |
| 177 | C2×D12 | — | 6 | 2 | no | — |
| 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 | 2 | no | — |
| 185 | C2×C4×D3 | — | 6 | 2 | no | — |
| 186 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 187 | C3×SD16 | — | 3 | 8 | no | — |
| 188 | C2×C3×C8 | — | 2 | 1 | no | — |
| 189 | C2×C3×C8 | — | 3 | 2 | no | — |
| 190 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 191 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 192 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 193 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 194 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 195 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 196 | C3×C42 | — | 3 | 2 | no | — |
| 197 | C3×C42 | — | 6 | 2 | no | — |
| 198 | #217 | — | 6 | 2 | no | — |
| 199 | #216 | — | 3 | 8 | no | — |
| 200 | #213 | — | 3 | 8 | no | — |
| 201 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 202 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 203 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 204 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 205 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 206 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 207 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 208 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 209 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 210 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 211 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 212 | C4×Dic3 | — | 2 | 2 | no | — |
| 213 | C4×Dic3 | — | 3 | 2 | no | — |
| 214 | C4×Dic3 | — | 3 | 2 | no | — |
| 215 | C4×Dic3 | — | 6 | 2 | no | — |
| 216 | C4×Dic3 | — | 6 | 2 | no | — |
| 217 | C4×Dic3 | — | 6 | 2 | no | — |
| 218 | C4×Dic3 | — | 6 | 2 | no | — |
| 219 | C4×Dic3 | — | 12 | 2 | no | — |
| 220 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 221 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 222 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 223 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 224 | #204 | C4×D3 | 1 | 8 | yes | complemented |
| 225 | D3×C8 | — | 3 | 8 | no | — |
| 226 | D3×C8 | — | 6 | 4 | no | — |
| 227 | D3×C8 | — | 6 | 4 | no | — |
| 228 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 229 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 230 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 231 | C2×C3⋊D3 | C4×D4 | 1 | 2 | yes | — |
| 232 | C2×C3×D3 | — | 2 | 4 | no | — |
| 233 | C2×C3×D3 | — | 4 | 2 | no | — |
| 234 | C2×C3×D3 | — | 4 | 2 | no | — |
| 235 | C32×C4 | — | 4 | 2 | no | — |
| 236 | C32×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 237 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 238 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 239 | C3⋊Dic3 | C4×D4 | 1 | 2 | yes | — |
| 240 | C3×Dic3 | — | 2 | 4 | no | — |
| 241 | C3×Dic3 | — | 2 | 2 | no | — |
| 242 | C3×Dic3 | — | 2 | 2 | no | — |
| 243 | C2×#41 | — | 9 | 2 | no | — |
| 244 | #135 | — | 9 | 8 | no | — |
| 245 | C2×Q16 | — | 9 | 1 | no | — |
| 246 | C2×SD16 | — | 3 | 2 | no | — |
| 247 | C2×D8 | — | 9 | 1 | no | — |
| 248 | C22×C8 | — | 9 | 1 | no | — |
| 249 | C22×C8 | — | 9 | 1 | no | — |
| 250 | C4×Q8 | — | 3 | 2 | no | — |
| 251 | C4×Q8 | — | 9 | 2 | no | — |
| 252 | C4×D4 | — | 3 | 2 | no | — |
| 253 | C4×D4 | — | 9 | 2 | no | — |
| 254 | C4×D4 | — | 18 | 2 | no | — |
| 255 | C4×D4 | — | 18 | 2 | no | — |
| 256 | #117 | — | 9 | 2 | no | — |
| 257 | #117 | — | 18 | 2 | no | — |
| 258 | C2×C42 | — | 9 | 1 | no | — |
| 259 | C2×C42 | — | 18 | 2 | no | — |
| 260 | #107 | — | 9 | 1 | no | — |
| 261 | #107 | D32 | 1 | 1 | yes | characteristic |
| 262 | #106 | — | 9 | 2 | no | — |
| 263 | #103 | — | 3 | 2 | no | — |
| 264 | #103 | — | 9 | 2 | no | — |
| 265 | #102 | — | 3 | 2 | no | — |
| 266 | #102 | — | 9 | 2 | no | — |
| 267 | #97 | — | 3 | 2 | no | — |
| 268 | #97 | — | 9 | 2 | no | — |
| 269 | C23×C3 | — | 6 | 2 | no | — |
| 270 | C22×D3 | — | 2 | 2 | no | — |
| 271 | C22×D3 | — | 3 | 2 | no | — |
| 272 | C22×D3 | — | 6 | 1 | no | — |
| 273 | C3×Q8 | — | 3 | 4 | no | — |
| 274 | C3×Q8 | — | 6 | 2 | no | — |
| 275 | C3×D4 | — | 3 | 4 | no | — |
| 276 | C3×D4 | — | 6 | 2 | no | — |
| 277 | C2×C3×C4 | — | 2 | 2 | no | — |
| 278 | C2×C3×C4 | — | 2 | 2 | no | — |
| 279 | C2×C3×C4 | — | 2 | 1 | no | — |
| 280 | C2×C3×C4 | — | 3 | 2 | no | — |
| 281 | C2×C3×C4 | — | 3 | 2 | no | — |
| 282 | C2×C3×C4 | — | 4 | 2 | no | — |
| 283 | C2×C3×C4 | — | 6 | 2 | no | — |
| 284 | C2×C3×C4 | — | 12 | 4 | no | — |
| 285 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 286 | #67 | — | 6 | 8 | no | — |
| 287 | C2×Dic3 | — | 2 | 2 | no | — |
| 288 | C2×Dic3 | — | 3 | 2 | no | — |
| 289 | C2×Dic3 | — | 6 | 1 | no | — |
| 290 | C2×Dic3 | — | 6 | 8 | no | — |
| 291 | C2×Dic3 | — | 6 | 2 | no | — |
| 292 | C2×Dic3 | — | 6 | 2 | no | — |
| 293 | C2×Dic3 | — | 12 | 2 | no | — |
| 294 | C2×Dic3 | — | 12 | 4 | no | — |
| 295 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 296 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 297 | D12 | — | 2 | 2 | no | — |
| 298 | D12 | — | 6 | 8 | no | — |
| 299 | D12 | C2×C4×D3 | 1 | 4 | yes | — |
| 300 | C4×D3 | — | 3 | 4 | no | — |
| 301 | C4×D3 | — | 3 | 4 | no | — |
| 302 | C4×D3 | — | 4 | 4 | no | — |
| 303 | C4×D3 | — | 6 | 2 | no | — |
| 304 | C4×D3 | — | 6 | 2 | no | — |
| 305 | C4×D3 | — | 6 | 8 | no | — |
| 306 | C4×D3 | — | 12 | 2 | no | — |
| 307 | C4×D3 | — | 12 | 2 | no | — |
| 308 | C4×D3 | — | 12 | 4 | no | — |
| 309 | Dic6 | — | 2 | 2 | no | — |
| 310 | Dic6 | C2×C4×D3 | 1 | 4 | yes | — |
| 311 | C3×C8 | — | 2 | 2 | no | — |
| 312 | C3×C8 | — | 6 | 2 | no | — |
| 313 | C3×C8 | C2×C4×D3 | 1 | 4 | yes | — |
| 314 | C3⋊C8 | — | 2 | 2 | no | — |
| 315 | C3⋊C8 | — | 3 | 4 | no | — |
| 316 | C3⋊C8 | — | 6 | 2 | no | — |
| 317 | C2×C32 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 318 | C2×C32 | #575 | 1 | 1 | yes | characteristic |
| 319 | C2×C32 | #575 | 1 | 1 | yes | characteristic |
| 320 | C3⋊D3 | — | 2 | 2 | no | — |
| 321 | C3×D3 | — | 4 | 4 | no | — |
| 322 | #41 | — | 9 | 8 | no | — |
| 323 | #41 | — | 18 | 4 | no | — |
| 324 | C2×Q8 | — | 3 | 2 | no | — |
| 325 | C2×D4 | — | 3 | 2 | no | — |
| 326 | C2×D4 | — | 18 | 2 | no | — |
| 327 | C22×C4 | — | 6 | 2 | no | — |
| 328 | C22×C4 | — | 9 | 1 | no | — |
| 329 | C22×C4 | — | 9 | 1 | no | — |
| 330 | C22×C4 | — | 9 | 1 | no | — |
| 331 | C22×C4 | — | 18 | 2 | no | — |
| 332 | C22×C4 | — | 18 | 2 | no | — |
| 333 | Q16 | — | 9 | 4 | no | — |
| 334 | SD16 | — | 3 | 8 | no | — |
| 335 | D8 | — | 9 | 4 | no | — |
| 336 | C2×C8 | — | 3 | 2 | no | — |
| 337 | C2×C8 | — | 9 | 1 | no | — |
| 338 | C2×C8 | — | 9 | 4 | no | — |
| 339 | C2×C8 | — | 18 | 2 | no | — |
| 340 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 341 | C4⋊C4 | — | 6 | 2 | no | — |
| 342 | C4⋊C4 | — | 9 | 2 | no | — |
| 343 | C4⋊C4 | — | 18 | 2 | no | — |
| 344 | C4⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 345 | C22⋊C4 | — | 6 | 2 | no | — |
| 346 | C22⋊C4 | — | 18 | 2 | no | — |
| 347 | C22⋊C4 | — | 18 | 2 | no | — |
| 348 | C42 | — | 3 | 2 | no | — |
| 349 | C42 | — | 6 | 2 | no | — |
| 350 | C42 | — | 9 | 2 | no | — |
| 351 | C42 | — | 18 | 2 | no | — |
| 352 | C42 | — | 18 | 2 | no | — |
| 353 | C22×C3 | — | 2 | 1 | no | — |
| 354 | C22×C3 | — | 6 | 4 | no | — |
| 355 | C22×C3 | — | 12 | 2 | no | — |
| 356 | C22×C3 | — | 12 | 2 | no | — |
| 357 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 358 | C2×D3 | — | 2 | 4 | no | — |
| 359 | C2×D3 | — | 3 | 4 | no | — |
| 360 | C2×D3 | — | 4 | 2 | no | — |
| 361 | C2×D3 | — | 4 | 2 | no | — |
| 362 | C2×D3 | — | 6 | 2 | no | — |
| 363 | C2×D3 | — | 6 | 2 | no | — |
| 364 | C2×D3 | — | 6 | 2 | no | — |
| 365 | C2×D3 | — | 12 | 1 | no | — |
| 366 | C2×D3 | — | 12 | 1 | no | — |
| 367 | C3×C4 | — | 2 | 1 | no | — |
| 368 | C3×C4 | — | 2 | 1 | no | — |
| 369 | C3×C4 | — | 4 | 2 | no | — |
| 370 | C3×C4 | — | 4 | 2 | no | — |
| 371 | C3×C4 | — | 6 | 2 | no | — |
| 372 | C3×C4 | — | 6 | 2 | no | — |
| 373 | C3×C4 | — | 6 | 4 | no | — |
| 374 | C3×C4 | — | 8 | 2 | no | — |
| 375 | C3×C4 | C22×C4×D3 | 1 | 2 | yes | — |
| 376 | C3×C4 | D3×#41 | 1 | 2 | yes | — |
| 377 | Dic3 | — | 2 | 2 | no | — |
| 378 | Dic3 | — | 2 | 2 | no | — |
| 379 | Dic3 | — | 2 | 4 | no | — |
| 380 | Dic3 | — | 3 | 4 | no | — |
| 381 | Dic3 | — | 6 | 2 | no | — |
| 382 | Dic3 | — | 12 | 2 | no | — |
| 383 | Dic3 | — | 12 | 2 | no | — |
| 384 | Dic3 | — | 24 | 2 | no | — |
| 385 | C32 | #2943 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 386 | C23 | — | 6 | 2 | no | — |
| 387 | C23 | — | 9 | 1 | no | — |
| 388 | Q8 | — | 3 | 4 | no | — |
| 389 | Q8 | — | 6 | 2 | no | — |
| 390 | D4 | — | 3 | 4 | no | — |
| 391 | D4 | — | 6 | 2 | no | — |
| 392 | D4 | — | 18 | 8 | no | — |
| 393 | C2×C4 | — | 2 | 2 | no | — |
| 394 | C2×C4 | — | 3 | 2 | no | — |
| 395 | C2×C4 | — | 3 | 2 | no | — |
| 396 | C2×C4 | — | 6 | 2 | no | — |
| 397 | C2×C4 | — | 9 | 1 | no | — |
| 398 | C2×C4 | — | 9 | 2 | no | — |
| 399 | C2×C4 | — | 9 | 2 | no | — |
| 400 | C2×C4 | — | 12 | 4 | no | — |
| 401 | C2×C4 | — | 18 | 8 | no | — |
| 402 | C2×C4 | — | 18 | 2 | no | — |
| 403 | C2×C4 | — | 36 | 1 | no | — |
| 404 | C2×C4 | — | 36 | 1 | no | — |
| 405 | C2×C4 | — | 36 | 4 | no | — |
| 406 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 407 | C8 | — | 6 | 2 | no | — |
| 408 | C8 | — | 9 | 2 | no | — |
| 409 | C8 | C4×D32 | 1 | 2 | yes | — |
| 410 | C2×C3 | — | 2 | 1 | no | — |
| 411 | C2×C3 | — | 2 | 1 | no | — |
| 412 | C2×C3 | — | 2 | 1 | no | — |
| 413 | C2×C3 | — | 12 | 4 | no | — |
| 414 | C2×C3 | C4×D3×D4 | 1 | 2 | yes | — |
| 415 | C2×C3 | #5773 | 1 | 2 | yes | — |
| 416 | C2×C3 | #5777 | 1 | 2 | yes | — |
| 417 | D3 | — | 4 | 4 | no | — |
| 418 | D3 | — | 6 | 4 | no | — |
| 419 | D3 | — | 12 | 2 | no | — |
| 420 | C22 | — | 6 | 4 | no | — |
| 421 | C22 | — | 9 | 2 | no | — |
| 422 | C22 | — | 12 | 2 | no | — |
| 423 | C22 | — | 12 | 2 | no | — |
| 424 | C22 | — | 18 | 1 | no | — |
| 425 | C22 | — | 18 | 1 | no | — |
| 426 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 427 | C4 | — | 4 | 2 | no | — |
| 428 | C4 | — | 6 | 4 | no | — |
| 429 | C4 | — | 6 | 2 | no | — |
| 430 | C4 | — | 6 | 2 | no | — |
| 431 | C4 | — | 9 | 2 | no | — |
| 432 | C4 | — | 36 | 2 | no | — |
| 433 | C4 | C2×C4×D32 | 1 | 1 | yes | characteristic |
| 434 | C4 | #64319 | 1 | 1 | yes | characteristic |
| 435 | C3 | — | 2 | 1 | no | — |
| 436 | C3 | #79772 | 1 | 2 | yes | complemented |
| 437 | C2 | — | 12 | 4 | no | — |
| 438 | C2 | — | 18 | 2 | no | — |
| 439 | C2 | #10594605 | 1 | 1 | yes | characteristic |
| 440 | C2 | #10594728 | 1 | 1 | yes | characteristic |
| 441 | C2 | #10594762 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10594360 | C2 | semidirect |
| 3. #10592579 | C2 | semidirect |
| 4. C3×#4889 | C2 | semidirect |
| 5. #10590766 | C2 | semidirect |
| 6. #10590668 | C2 | semidirect |
| 7. #10590611 | C2 | semidirect |
| 8. #10590477 | C2 | semidirect |
| 9. #10590455 | C2 | semidirect |
| 27. #63809 | C4 | semidirect |
| 44. #4889 | D3 | semidirect |
| 63. #3796 | C2×C4 | semidirect |
| 70. C8×C3⋊D3 | C2×C4 | semidirect |
| 76. C3×#204 | C2×C4 | semidirect |
| 81. #3718 | C2×C4 | semidirect |
| 82. #3713 | C2×C4 | semidirect |
| 224. #204 | C4×D3 | semidirect |
| 385. C32 | #2943 | semidirect |
| 436. C3 | #79772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63809 | 2 |
| #10594360 | 2 |
| #10592579 | 2 |
| C3×#4889 | 2 |
| #10590766 | 2 |
| #10590668 | 2 |
| #10590611 | 2 |
| #10590477 | 2 |
| #10590455 | 2 |
| #79772 | 3 |