Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
11989 conjugacy classes of subgroups.
The subgroup lattice has 709 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3⋊D3×2−1+4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×D3×2−1+4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10596698 | C2 | 1 | 10 | yes | maximal, complemented |
| 5 | #10596696 | C2 | 1 | 10 | yes | maximal, complemented |
| 6 | #10596695 | C2 | 1 | 10 | yes | maximal, complemented |
| 7 | D3×#1010 | C2 | 1 | 10 | yes | maximal, complemented |
| 8 | #10596688 | C2 | 1 | 5 | yes | maximal, complemented |
| 9 | #10596687 | C2 | 1 | 5 | yes | maximal, complemented |
| 10 | D3×#1007 | C2 | 1 | 5 | yes | maximal, complemented |
| 11 | C2×#64315 | C2 | 1 | 5 | yes | maximal, complemented |
| 12 | #87572 | — | 3 | 1 | no | maximal |
| 13 | #87571 | — | 3 | 1 | no | maximal |
| 14 | C32×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #64367 | C22 | 1 | 10 | yes | complemented |
| 16 | #41×C3⋊D3 | C22 | 1 | 10 | yes | complemented |
| 17 | #64364 | C22 | 1 | 5 | yes | complemented |
| 18 | C2×Q8×C3⋊D3 | C22 | 1 | 5 | yes | complemented |
| 19 | C3×#1010 | C22 | 1 | 10 | yes | complemented |
| 20 | C3×#1009 | C22 | 1 | 10 | yes | complemented |
| 21 | C3×D3×#41 | C22 | 1 | 10 | yes | complemented |
| 22 | C3×D3×#41 | C22 | 1 | 10 | yes | complemented |
| 23 | C3×#1007 | C22 | 1 | 5 | yes | complemented |
| 24 | C3×#1007 | C22 | 1 | 5 | yes | complemented |
| 25 | C2×C3×#239 | C22 | 1 | 5 | yes | complemented |
| 26 | C2×C3×D3×Q8 | C22 | 1 | 5 | yes | complemented |
| 27 | #64320 | C22 | 1 | 10 | yes | complemented |
| 28 | #64319 | C22 | 1 | 20 | yes | complemented |
| 29 | D3×#239 | C22 | 1 | 20 | yes | complemented |
| 30 | D32×Q8 | C22 | 1 | 20 | yes | complemented |
| 31 | #64316 | C22 | 1 | 10 | yes | complemented |
| 32 | #64315 | C22 | 1 | 10 | yes | complemented |
| 33 | #64315 | C22 | 1 | 20 | yes | complemented |
| 34 | #64315 | C22 | 1 | 20 | yes | complemented |
| 35 | #64315 | C22 | 1 | 20 | yes | complemented |
| 36 | #64315 | C22 | 1 | 10 | yes | complemented |
| 37 | #64314 | C22 | 1 | 10 | yes | complemented |
| 38 | #64314 | C22 | 1 | 30 | yes | complemented |
| 39 | #64313 | C22 | 1 | 30 | yes | complemented |
| 40 | D3×#237 | C22 | 1 | 60 | yes | complemented |
| 41 | #64309 | C22 | 1 | 30 | yes | complemented |
| 42 | #64307 | C22 | 1 | 30 | yes | complemented |
| 43 | #64306 | C22 | 1 | 30 | yes | complemented |
| 44 | D3×#235 | C22 | 1 | 30 | yes | complemented |
| 45 | D3×#235 | C22 | 1 | 30 | yes | complemented |
| 46 | C2×#3798 | C22 | 1 | 15 | yes | complemented |
| 47 | #64298 | C22 | 1 | 30 | yes | complemented |
| 48 | #64297 | C22 | 1 | 30 | yes | complemented |
| 49 | C2×#3796 | C22 | 1 | 15 | yes | complemented |
| 50 | C2×#3795 | C22 | 1 | 15 | yes | complemented |
| 51 | C2×D3×Dic6 | C22 | 1 | 15 | yes | complemented |
| 52 | C3×#585 | — | 3 | 1 | no | — |
| 53 | C2×C3×2−1+4 | — | 3 | 1 | no | — |
| 54 | #5968 | — | 3 | 10 | no | — |
| 55 | #5968 | — | 3 | 5 | no | — |
| 56 | #5968 | D3 | 1 | 1 | yes | characteristic, complemented |
| 57 | D3×2−1+4 | — | 3 | 1 | no | — |
| 58 | D3×2−1+4 | — | 3 | 1 | no | — |
| 59 | D3×2−1+4 | — | 3 | 10 | no | — |
| 60 | D3×2−1+4 | — | 3 | 5 | no | — |
| 61 | D3×2−1+4 | — | 3 | 5 | no | — |
| 62 | D3×2−1+4 | — | 3 | 5 | no | — |
| 63 | D3×2−1+4 | — | 6 | 1 | no | — |
| 64 | D3×2−1+4 | D3 | 1 | 1 | yes | characteristic, complemented |
| 65 | #5966 | — | 3 | 10 | no | — |
| 66 | #5966 | — | 3 | 10 | no | — |
| 67 | #5964 | — | 3 | 10 | no | — |
| 68 | #5964 | — | 3 | 10 | no | — |
| 69 | #5964 | — | 3 | 10 | no | — |
| 70 | #5964 | — | 3 | 5 | no | — |
| 71 | C2×#1010 | — | 3 | 10 | no | — |
| 72 | C2×#1010 | — | 3 | 5 | no | — |
| 73 | C2×#1007 | — | 3 | 5 | no | — |
| 74 | C2×#1007 | — | 3 | 5 | no | — |
| 75 | C32×#41 | C23 | 1 | 10 | yes | — |
| 76 | C2×C32×Q8 | C23 | 1 | 5 | yes | — |
| 77 | #3832 | C23 | 1 | 10 | yes | — |
| 78 | Q8×C3⋊D3 | C23 | 1 | 10 | yes | — |
| 79 | Q8×C3⋊D3 | C23 | 1 | 20 | yes | — |
| 80 | #3830 | C23 | 1 | 30 | yes | — |
| 81 | D4×C3⋊D3 | C23 | 1 | 10 | yes | — |
| 82 | #3828 | C23 | 1 | 30 | yes | — |
| 83 | C2×C4×C3⋊D3 | C23 | 1 | 15 | yes | — |
| 84 | C2×#634 | C23 | 1 | 15 | yes | — |
| 85 | C3×#239 | C23 | 1 | 10 | yes | — |
| 86 | C3×#239 | C23 | 1 | 20 | yes | — |
| 87 | C3×#239 | C23 | 1 | 10 | yes | — |
| 88 | C3×D3×Q8 | C23 | 1 | 10 | yes | — |
| 89 | C3×D3×Q8 | C23 | 1 | 20 | yes | — |
| 90 | C3×D3×Q8 | C23 | 1 | 10 | yes | — |
| 91 | C3×#237 | C23 | 1 | 10 | yes | — |
| 92 | C3×#237 | C23 | 1 | 30 | yes | — |
| 93 | C3×D3×D4 | C23 | 1 | 30 | yes | — |
| 94 | C3×D3×D4 | C23 | 1 | 10 | yes | — |
| 95 | C3×#235 | C23 | 1 | 30 | yes | — |
| 96 | C3×#235 | C23 | 1 | 30 | yes | — |
| 97 | C2×C3×D12 | C23 | 1 | 15 | yes | — |
| 98 | C2×C3×C4×D3 | C23 | 1 | 15 | yes | — |
| 99 | C2×C3×C4×D3 | C23 | 1 | 15 | yes | — |
| 100 | C2×C3×Dic6 | C23 | 1 | 15 | yes | — |
| 101 | #3811 | C23 | 1 | 20 | yes | — |
| 102 | D3×#67 | C23 | 1 | 20 | yes | — |
| 103 | D3×#67 | C23 | 1 | 60 | yes | — |
| 104 | C2×#627 | C23 | 1 | 15 | yes | — |
| 105 | C2×#626 | C23 | 1 | 15 | yes | — |
| 106 | C2×#626 | C23 | 1 | 5 | yes | — |
| 107 | C2×#625 | C23 | 1 | 15 | yes | — |
| 108 | #3805 | C23 | 1 | 60 | yes | — |
| 109 | #3804 | C23 | 1 | 60 | yes | — |
| 110 | #3804 | C23 | 1 | 20 | yes | — |
| 111 | C2×D3×Dic3 | C23 | 1 | 30 | yes | — |
| 112 | #3802 | C23 | 1 | 30 | yes | — |
| 113 | D3×D12 | C23 | 1 | 10 | yes | — |
| 114 | D3×D12 | C23 | 1 | 30 | yes | — |
| 115 | C4×D32 | C23 | 1 | 60 | yes | — |
| 116 | #3799 | C23 | 1 | 30 | yes | — |
| 117 | #3799 | C23 | 1 | 10 | yes | — |
| 118 | #3798 | C23 | 1 | 10 | yes | — |
| 119 | #3798 | C23 | 1 | 30 | yes | — |
| 120 | #3798 | C23 | 1 | 30 | yes | — |
| 121 | #3798 | C23 | 1 | 30 | yes | — |
| 122 | #3797 | C23 | 1 | 30 | yes | — |
| 123 | #3796 | C23 | 1 | 30 | yes | — |
| 124 | #3796 | C23 | 1 | 60 | yes | — |
| 125 | #3796 | C23 | 1 | 10 | yes | — |
| 126 | #3795 | C23 | 1 | 30 | yes | — |
| 127 | #3795 | C23 | 1 | 60 | yes | — |
| 128 | #3795 | C23 | 1 | 30 | yes | — |
| 129 | D3×Dic6 | C23 | 1 | 30 | yes | — |
| 130 | D3×Dic6 | C23 | 1 | 60 | yes | — |
| 131 | D3×Dic6 | C23 | 1 | 30 | yes | — |
| 132 | 2−1+6 | — | 9 | 1 | no | Sylow |
| 133 | C3×2−1+4 | — | 2 | 1 | no | — |
| 134 | C3×2−1+4 | — | 3 | 10 | no | — |
| 135 | C3×2−1+4 | — | 3 | 5 | no | — |
| 136 | C3×2−1+4 | — | 3 | 5 | no | — |
| 137 | C3×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 138 | C3×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 139 | C3×H(5,𝔽2) | — | 3 | 10 | no | — |
| 140 | C2×C3×#41 | — | 3 | 10 | no | — |
| 141 | C2×C3×#41 | — | 3 | 10 | no | — |
| 142 | C2×C3×#41 | — | 3 | 5 | no | — |
| 143 | C22×C3×Q8 | — | 3 | 5 | no | — |
| 144 | #1010 | — | 3 | 10 | no | — |
| 145 | #1010 | — | 3 | 10 | no | — |
| 146 | #1010 | — | 3 | 20 | no | — |
| 147 | #1010 | — | 3 | 10 | no | — |
| 148 | #1010 | — | 3 | 20 | no | — |
| 149 | #1010 | — | 3 | 20 | no | — |
| 150 | #1010 | — | 3 | 10 | no | — |
| 151 | #1010 | — | 3 | 30 | no | — |
| 152 | #1010 | — | 3 | 30 | no | — |
| 153 | #1010 | — | 3 | 30 | no | — |
| 154 | #1010 | — | 3 | 30 | no | — |
| 155 | #1010 | — | 3 | 30 | no | — |
| 156 | #1010 | — | 6 | 10 | no | — |
| 157 | #1010 | C2×D3 | 1 | 10 | yes | complemented |
| 158 | #1009 | — | 3 | 10 | no | — |
| 159 | #1009 | — | 3 | 10 | no | — |
| 160 | #1009 | — | 3 | 10 | no | — |
| 161 | #1009 | — | 3 | 30 | no | — |
| 162 | #1009 | — | 3 | 30 | no | — |
| 163 | #1009 | C2×D3 | 1 | 10 | yes | complemented |
| 164 | D3×#41 | — | 3 | 10 | no | — |
| 165 | D3×#41 | — | 3 | 10 | no | — |
| 166 | D3×#41 | — | 3 | 20 | no | — |
| 167 | D3×#41 | — | 3 | 20 | no | — |
| 168 | D3×#41 | — | 3 | 20 | no | — |
| 169 | D3×#41 | — | 3 | 60 | no | — |
| 170 | D3×#41 | — | 3 | 30 | no | — |
| 171 | D3×#41 | — | 3 | 30 | no | — |
| 172 | D3×#41 | — | 3 | 30 | no | — |
| 173 | D3×#41 | — | 3 | 30 | no | — |
| 174 | D3×#41 | — | 6 | 10 | no | — |
| 175 | D3×#41 | C2×D3 | 1 | 10 | yes | complemented |
| 176 | D3×#41 | C2×D3 | 1 | 10 | yes | complemented |
| 177 | #1007 | — | 3 | 5 | no | — |
| 178 | #1007 | — | 3 | 5 | no | — |
| 179 | #1007 | — | 3 | 20 | no | — |
| 180 | #1007 | — | 3 | 10 | no | — |
| 181 | #1007 | — | 3 | 20 | no | — |
| 182 | #1007 | — | 3 | 20 | no | — |
| 183 | #1007 | — | 3 | 10 | no | — |
| 184 | #1007 | — | 3 | 10 | no | — |
| 185 | #1007 | — | 3 | 10 | no | — |
| 186 | #1007 | — | 3 | 30 | no | — |
| 187 | #1007 | — | 6 | 5 | no | — |
| 188 | #1007 | C2×D3 | 1 | 5 | yes | complemented |
| 189 | #1007 | C2×D3 | 1 | 5 | yes | complemented |
| 190 | C2×#239 | — | 3 | 20 | no | — |
| 191 | C2×#239 | — | 3 | 15 | no | — |
| 192 | C2×#239 | C2×D3 | 1 | 5 | yes | complemented |
| 193 | C2×D3×Q8 | — | 3 | 5 | no | — |
| 194 | C2×D3×Q8 | — | 3 | 5 | no | — |
| 195 | C2×D3×Q8 | — | 3 | 20 | no | — |
| 196 | C2×D3×Q8 | — | 3 | 20 | no | — |
| 197 | C2×D3×Q8 | — | 3 | 15 | no | — |
| 198 | C2×D3×Q8 | — | 6 | 5 | no | — |
| 199 | C2×D3×Q8 | C2×D3 | 1 | 5 | yes | complemented |
| 200 | #1004 | — | 3 | 10 | no | — |
| 201 | #1004 | — | 3 | 30 | no | — |
| 202 | #1004 | — | 3 | 30 | no | — |
| 203 | #1004 | — | 3 | 30 | no | — |
| 204 | #1004 | — | 3 | 30 | no | — |
| 205 | C2×#237 | — | 3 | 60 | no | — |
| 206 | C2×#237 | — | 3 | 15 | no | — |
| 207 | C2×#237 | — | 3 | 15 | no | — |
| 208 | C2×#235 | — | 3 | 30 | no | — |
| 209 | C2×#235 | — | 3 | 30 | no | — |
| 210 | C2×#235 | — | 3 | 15 | no | — |
| 211 | C2×#235 | — | 3 | 15 | no | — |
| 212 | C2×#235 | — | 3 | 15 | no | — |
| 213 | C22×Dic6 | — | 3 | 15 | no | — |
| 214 | C22×C3⋊D3 | C24 | 1 | 5 | yes | — |
| 215 | C22×C3×D3 | C24 | 1 | 15 | yes | — |
| 216 | C22×C3×D3 | C24 | 1 | 5 | yes | — |
| 217 | C2×D32 | C24 | 1 | 20 | yes | — |
| 218 | C32×Q8 | C24 | 1 | 10 | yes | — |
| 219 | C32×D4 | C24 | 1 | 10 | yes | — |
| 220 | C2×C32×C4 | C24 | 1 | 15 | yes | — |
| 221 | #638 | C24 | 1 | 20 | yes | — |
| 222 | C2×C3⋊Dic3 | C24 | 1 | 15 | yes | — |
| 223 | C4⋊(C3⋊D3) | C24 | 1 | 10 | yes | — |
| 224 | C4×C3⋊D3 | C24 | 1 | 10 | yes | — |
| 225 | C4×C3⋊D3 | C24 | 1 | 30 | yes | — |
| 226 | #634 | C24 | 1 | 30 | yes | — |
| 227 | C3×#67 | C24 | 1 | 20 | yes | — |
| 228 | C3×#67 | C24 | 1 | 20 | yes | — |
| 229 | C2×C3×Dic3 | C24 | 1 | 15 | yes | — |
| 230 | C2×C3×Dic3 | C24 | 1 | 5 | yes | — |
| 231 | C3×D12 | C24 | 1 | 30 | yes | — |
| 232 | C3×D12 | C24 | 1 | 10 | yes | — |
| 233 | C3×C4×D3 | C24 | 1 | 10 | yes | — |
| 234 | C3×C4×D3 | C24 | 1 | 30 | yes | — |
| 235 | C3×C4×D3 | C24 | 1 | 30 | yes | — |
| 236 | C3×C4×D3 | C24 | 1 | 10 | yes | — |
| 237 | C3×Dic6 | C24 | 1 | 30 | yes | — |
| 238 | C3×Dic6 | C24 | 1 | 10 | yes | — |
| 239 | #627 | C24 | 1 | 30 | yes | — |
| 240 | #627 | C24 | 1 | 10 | yes | — |
| 241 | #626 | C24 | 1 | 10 | yes | — |
| 242 | #626 | C24 | 1 | 5 | yes | — |
| 243 | #626 | C24 | 1 | 30 | yes | — |
| 244 | #626 | C24 | 1 | 1 | yes | characteristic |
| 245 | #626 | C24 | 1 | 5 | yes | — |
| 246 | #626 | C24 | 1 | 5 | yes | — |
| 247 | #625 | C24 | 1 | 10 | yes | — |
| 248 | #625 | C24 | 1 | 30 | yes | — |
| 249 | #624 | C24 | 1 | 20 | yes | — |
| 250 | D3×Dic3 | C24 | 1 | 60 | yes | — |
| 251 | D3×Dic3 | C24 | 1 | 20 | yes | — |
| 252 | #585 | — | 3 | 1 | no | — |
| 253 | #585 | — | 9 | 10 | no | — |
| 254 | #585 | — | 9 | 10 | no | — |
| 255 | #585 | — | 9 | 5 | no | — |
| 256 | #585 | — | 9 | 10 | no | — |
| 257 | C2×2−1+4 | — | 3 | 1 | no | — |
| 258 | C2×2−1+4 | — | 9 | 5 | no | — |
| 259 | C2×2−1+4 | — | 9 | 5 | no | — |
| 260 | C2×2−1+4 | — | 9 | 10 | no | — |
| 261 | C2×2−1+4 | — | 9 | 5 | no | — |
| 262 | C2×2−1+4 | — | 9 | 1 | no | — |
| 263 | C3×#41 | — | 2 | 10 | no | — |
| 264 | C3×#41 | — | 3 | 10 | no | — |
| 265 | C3×#41 | — | 3 | 20 | no | — |
| 266 | C3×#41 | — | 3 | 10 | no | — |
| 267 | C3×#41 | — | 3 | 30 | no | — |
| 268 | C3×#41 | — | 3 | 10 | no | — |
| 269 | C3×#41 | — | 3 | 30 | no | — |
| 270 | C3×#41 | — | 3 | 30 | no | — |
| 271 | C3×#41 | C22×D3 | 1 | 10 | yes | — |
| 272 | C3×#41 | C22×D3 | 1 | 10 | yes | — |
| 273 | C2×C3×Q8 | — | 2 | 5 | no | — |
| 274 | C2×C3×Q8 | — | 3 | 10 | no | — |
| 275 | C2×C3×Q8 | — | 3 | 20 | no | — |
| 276 | C2×C3×Q8 | — | 3 | 10 | no | — |
| 277 | C2×C3×Q8 | — | 3 | 15 | no | — |
| 278 | C2×C3×Q8 | C22×D3 | 1 | 5 | yes | — |
| 279 | C2×C3×Q8 | C22×D3 | 1 | 5 | yes | — |
| 280 | C2×C3×D4 | — | 3 | 30 | no | — |
| 281 | C2×C3×D4 | — | 3 | 10 | no | — |
| 282 | C2×C3×D4 | — | 3 | 15 | no | — |
| 283 | C22×C3×C4 | — | 3 | 15 | no | — |
| 284 | C22×C3×C4 | — | 3 | 15 | no | — |
| 285 | C2×#67 | — | 3 | 15 | no | — |
| 286 | C2×#67 | — | 3 | 15 | no | — |
| 287 | C2×#67 | — | 3 | 20 | no | — |
| 288 | C2×#67 | — | 3 | 60 | no | — |
| 289 | C2×#67 | — | 3 | 5 | no | — |
| 290 | C2×#67 | — | 3 | 15 | no | — |
| 291 | C22×Dic3 | — | 3 | 30 | no | — |
| 292 | #239 | — | 3 | 10 | no | — |
| 293 | #239 | — | 3 | 10 | no | — |
| 294 | #239 | — | 3 | 30 | no | — |
| 295 | #239 | — | 3 | 60 | no | — |
| 296 | #239 | — | 3 | 10 | no | — |
| 297 | #239 | — | 3 | 30 | no | — |
| 298 | #239 | — | 3 | 10 | no | — |
| 299 | #239 | — | 6 | 10 | no | — |
| 300 | #239 | C22×D3 | 1 | 20 | yes | — |
| 301 | #239 | C22×D3 | 1 | 10 | yes | — |
| 302 | #239 | C22×D3 | 1 | 10 | yes | — |
| 303 | D3×Q8 | — | 3 | 10 | no | — |
| 304 | D3×Q8 | — | 3 | 20 | no | — |
| 305 | D3×Q8 | — | 3 | 10 | no | — |
| 306 | D3×Q8 | — | 3 | 20 | no | — |
| 307 | D3×Q8 | — | 3 | 60 | no | — |
| 308 | D3×Q8 | — | 3 | 30 | no | — |
| 309 | D3×Q8 | — | 3 | 30 | no | — |
| 310 | D3×Q8 | — | 3 | 30 | no | — |
| 311 | D3×Q8 | — | 3 | 30 | no | — |
| 312 | D3×Q8 | — | 6 | 10 | no | — |
| 313 | D3×Q8 | — | 6 | 20 | no | — |
| 314 | D3×Q8 | C22×D3 | 1 | 10 | yes | — |
| 315 | D3×Q8 | C22×D3 | 1 | 20 | yes | — |
| 316 | D3×Q8 | C22×D3 | 1 | 10 | yes | — |
| 317 | #237 | — | 3 | 30 | no | — |
| 318 | #237 | — | 3 | 30 | no | — |
| 319 | #237 | — | 3 | 60 | no | — |
| 320 | #237 | — | 3 | 60 | no | — |
| 321 | #237 | — | 3 | 60 | no | — |
| 322 | #237 | — | 3 | 20 | no | — |
| 323 | #237 | — | 3 | 60 | no | — |
| 324 | #237 | — | 3 | 30 | no | — |
| 325 | #237 | — | 3 | 30 | no | — |
| 326 | #237 | — | 3 | 30 | no | — |
| 327 | #237 | — | 3 | 60 | no | — |
| 328 | #237 | — | 3 | 10 | no | — |
| 329 | #237 | — | 6 | 30 | no | — |
| 330 | #237 | C22×D3 | 1 | 30 | yes | — |
| 331 | #237 | C22×D3 | 1 | 10 | yes | — |
| 332 | D3×D4 | — | 3 | 20 | no | — |
| 333 | D3×D4 | — | 3 | 60 | no | — |
| 334 | D3×D4 | — | 3 | 10 | no | — |
| 335 | D3×D4 | — | 3 | 10 | no | — |
| 336 | D3×D4 | — | 3 | 20 | no | — |
| 337 | D3×D4 | — | 3 | 20 | no | — |
| 338 | D3×D4 | — | 3 | 30 | no | — |
| 339 | D3×D4 | — | 3 | 30 | no | — |
| 340 | D3×D4 | — | 3 | 30 | no | — |
| 341 | D3×D4 | — | 3 | 10 | no | — |
| 342 | D3×D4 | — | 6 | 10 | no | — |
| 343 | D3×D4 | C22×D3 | 1 | 10 | yes | — |
| 344 | D3×D4 | C22×D3 | 1 | 30 | yes | — |
| 345 | #235 | — | 3 | 30 | no | — |
| 346 | #235 | — | 3 | 30 | no | — |
| 347 | #235 | — | 3 | 20 | no | — |
| 348 | #235 | — | 3 | 60 | no | — |
| 349 | #235 | — | 3 | 30 | no | — |
| 350 | #235 | — | 3 | 30 | no | — |
| 351 | #235 | — | 3 | 60 | no | — |
| 352 | #235 | — | 3 | 30 | no | — |
| 353 | #235 | — | 3 | 10 | no | — |
| 354 | #235 | — | 3 | 30 | no | — |
| 355 | #235 | — | 3 | 10 | no | — |
| 356 | #235 | — | 3 | 30 | no | — |
| 357 | #235 | — | 3 | 30 | no | — |
| 358 | #235 | — | 3 | 30 | no | — |
| 359 | #235 | — | 3 | 30 | no | — |
| 360 | #235 | — | 3 | 10 | no | — |
| 361 | #235 | — | 3 | 30 | no | — |
| 362 | #235 | — | 6 | 30 | no | — |
| 363 | #235 | C22×D3 | 1 | 30 | yes | — |
| 364 | #235 | C22×D3 | 1 | 30 | yes | — |
| 365 | C2×D12 | — | 3 | 5 | no | — |
| 366 | C2×D12 | — | 3 | 15 | no | — |
| 367 | C2×D12 | — | 3 | 10 | no | — |
| 368 | C2×D12 | — | 3 | 30 | no | — |
| 369 | C2×D12 | C22×D3 | 1 | 15 | yes | — |
| 370 | C2×C4×D3 | — | 3 | 30 | no | — |
| 371 | C2×C4×D3 | — | 3 | 15 | no | — |
| 372 | C2×C4×D3 | — | 3 | 15 | no | — |
| 373 | C2×C4×D3 | — | 3 | 60 | no | — |
| 374 | C2×C4×D3 | — | 3 | 60 | no | — |
| 375 | C2×C4×D3 | — | 6 | 15 | no | — |
| 376 | C2×C4×D3 | C22×D3 | 1 | 15 | yes | — |
| 377 | C2×C4×D3 | C22×D3 | 1 | 15 | yes | — |
| 378 | C2×Dic6 | — | 3 | 15 | no | — |
| 379 | C2×Dic6 | — | 3 | 15 | no | — |
| 380 | C2×Dic6 | — | 3 | 15 | no | — |
| 381 | C2×Dic6 | — | 3 | 15 | no | — |
| 382 | C2×Dic6 | — | 3 | 30 | no | — |
| 383 | C2×Dic6 | — | 3 | 60 | no | — |
| 384 | C2×Dic6 | — | 3 | 30 | no | — |
| 385 | C2×Dic6 | — | 6 | 15 | no | — |
| 386 | C2×Dic6 | C22×D3 | 1 | 15 | yes | — |
| 387 | C22×C32 | C25 | 1 | 5 | yes | — |
| 388 | C2×C3⋊D3 | — | 4 | 5 | no | — |
| 389 | C2×C3⋊D3 | C25 | 1 | 5 | yes | — |
| 390 | C2×C3⋊D3 | C25 | 1 | 1 | yes | characteristic |
| 391 | C2×C3×D3 | — | 4 | 5 | no | — |
| 392 | C2×C3×D3 | — | 4 | 15 | no | — |
| 393 | C2×C3×D3 | C25 | 1 | 10 | yes | — |
| 394 | C2×C3×D3 | C25 | 1 | 5 | yes | — |
| 395 | C2×C3×D3 | C25 | 1 | 1 | yes | characteristic |
| 396 | D32 | — | 4 | 20 | no | — |
| 397 | C32×C4 | C25 | 1 | 10 | yes | — |
| 398 | C3⋊Dic3 | C25 | 1 | 10 | yes | — |
| 399 | C3×Dic3 | C25 | 1 | 10 | yes | — |
| 400 | C3×Dic3 | C25 | 1 | 5 | yes | — |
| 401 | C3×Dic3 | C25 | 1 | 1 | yes | characteristic |
| 402 | 2−1+4 | — | 3 | 10 | no | — |
| 403 | 2−1+4 | — | 3 | 5 | no | — |
| 404 | 2−1+4 | — | 3 | 5 | no | — |
| 405 | 2−1+4 | — | 9 | 10 | no | — |
| 406 | 2−1+4 | — | 9 | 10 | no | — |
| 407 | 2−1+4 | — | 9 | 20 | no | — |
| 408 | 2−1+4 | — | 9 | 20 | no | — |
| 409 | 2−1+4 | — | 9 | 20 | no | — |
| 410 | 2−1+4 | — | 9 | 10 | no | — |
| 411 | 2−1+4 | — | 9 | 30 | no | — |
| 412 | 2−1+4 | — | 9 | 30 | no | — |
| 413 | 2−1+4 | — | 9 | 30 | no | — |
| 414 | 2−1+4 | — | 9 | 10 | no | — |
| 415 | 2−1+4 | — | 9 | 5 | no | — |
| 416 | 2−1+4 | D32 | 1 | 1 | yes | characteristic, complemented |
| 417 | H(5,𝔽2) | — | 3 | 10 | no | — |
| 418 | H(5,𝔽2) | — | 9 | 30 | no | — |
| 419 | H(5,𝔽2) | — | 9 | 10 | no | — |
| 420 | H(5,𝔽2) | — | 9 | 30 | no | — |
| 421 | H(5,𝔽2) | — | 9 | 30 | no | — |
| 422 | H(5,𝔽2) | — | 9 | 10 | no | — |
| 423 | C2×#41 | — | 3 | 10 | no | — |
| 424 | C2×#41 | — | 3 | 10 | no | — |
| 425 | C2×#41 | — | 3 | 5 | no | — |
| 426 | C2×#41 | — | 9 | 15 | no | — |
| 427 | C2×#41 | — | 9 | 15 | no | — |
| 428 | C2×#41 | — | 9 | 30 | no | — |
| 429 | C2×#41 | — | 9 | 30 | no | — |
| 430 | C2×#41 | — | 9 | 15 | no | — |
| 431 | C2×#41 | — | 9 | 60 | no | — |
| 432 | C2×#41 | — | 9 | 20 | no | — |
| 433 | C2×#41 | — | 9 | 20 | no | — |
| 434 | C2×#41 | — | 9 | 30 | no | — |
| 435 | C2×#41 | — | 9 | 10 | no | — |
| 436 | C22×Q8 | — | 3 | 5 | no | — |
| 437 | C22×Q8 | — | 9 | 15 | no | — |
| 438 | C22×Q8 | — | 9 | 20 | no | — |
| 439 | C22×Q8 | — | 9 | 5 | no | — |
| 440 | C23×C3 | — | 3 | 15 | no | — |
| 441 | C23×C3 | — | 3 | 5 | no | — |
| 442 | C22×D3 | — | 3 | 5 | no | — |
| 443 | C22×D3 | — | 3 | 5 | no | — |
| 444 | C22×D3 | — | 3 | 20 | no | — |
| 445 | C22×D3 | — | 3 | 20 | no | — |
| 446 | C22×D3 | — | 6 | 5 | no | — |
| 447 | C22×D3 | C23×D3 | 1 | 15 | yes | — |
| 448 | C22×D3 | C23×D3 | 1 | 5 | yes | — |
| 449 | C3×Q8 | — | 2 | 10 | no | — |
| 450 | C3×Q8 | — | 3 | 10 | no | — |
| 451 | C3×Q8 | — | 3 | 30 | no | — |
| 452 | C3×Q8 | C23×D3 | 1 | 10 | yes | — |
| 453 | C3×Q8 | C23×D3 | 1 | 10 | yes | — |
| 454 | C3×D4 | — | 2 | 10 | no | — |
| 455 | C3×D4 | — | 3 | 20 | no | — |
| 456 | C3×D4 | — | 3 | 20 | no | — |
| 457 | C3×D4 | — | 3 | 10 | no | — |
| 458 | C3×D4 | — | 3 | 30 | no | — |
| 459 | C3×D4 | C23×D3 | 1 | 10 | yes | — |
| 460 | C3×D4 | C23×D3 | 1 | 10 | yes | — |
| 461 | C2×C3×C4 | — | 2 | 15 | no | — |
| 462 | C2×C3×C4 | — | 3 | 5 | no | — |
| 463 | C2×C3×C4 | — | 3 | 15 | no | — |
| 464 | C2×C3×C4 | — | 3 | 10 | no | — |
| 465 | C2×C3×C4 | — | 3 | 30 | no | — |
| 466 | C2×C3×C4 | — | 3 | 30 | no | — |
| 467 | C2×C3×C4 | — | 3 | 10 | no | — |
| 468 | C2×C3×C4 | C23×D3 | 1 | 15 | yes | — |
| 469 | C2×C3×C4 | C23×D3 | 1 | 15 | yes | — |
| 470 | #67 | — | 3 | 20 | no | — |
| 471 | #67 | — | 3 | 20 | no | — |
| 472 | #67 | — | 3 | 10 | no | — |
| 473 | #67 | — | 3 | 30 | no | — |
| 474 | #67 | — | 3 | 30 | no | — |
| 475 | #67 | — | 3 | 10 | no | — |
| 476 | #67 | — | 3 | 1 | no | — |
| 477 | #67 | — | 3 | 5 | no | — |
| 478 | #67 | — | 3 | 5 | no | — |
| 479 | #67 | — | 3 | 5 | no | — |
| 480 | #67 | — | 3 | 10 | no | — |
| 481 | #67 | — | 3 | 30 | no | — |
| 482 | #67 | — | 6 | 20 | no | — |
| 483 | #67 | C23×D3 | 1 | 20 | yes | — |
| 484 | #67 | C23×D3 | 1 | 20 | yes | — |
| 485 | C2×Dic3 | — | 3 | 15 | no | — |
| 486 | C2×Dic3 | — | 3 | 15 | no | — |
| 487 | C2×Dic3 | — | 3 | 20 | no | — |
| 488 | C2×Dic3 | — | 3 | 60 | no | — |
| 489 | C2×Dic3 | — | 6 | 15 | no | — |
| 490 | C2×Dic3 | C23×D3 | 1 | 5 | yes | — |
| 491 | C2×Dic3 | C23×D3 | 1 | 15 | yes | — |
| 492 | D12 | — | 3 | 5 | no | — |
| 493 | D12 | — | 3 | 1 | no | — |
| 494 | D12 | — | 3 | 10 | no | — |
| 495 | D12 | — | 3 | 30 | no | — |
| 496 | D12 | — | 3 | 5 | no | — |
| 497 | D12 | — | 3 | 5 | no | — |
| 498 | D12 | — | 3 | 10 | no | — |
| 499 | D12 | — | 3 | 10 | no | — |
| 500 | D12 | — | 6 | 10 | no | — |
| 501 | D12 | C23×D3 | 1 | 30 | yes | — |
| 502 | D12 | C23×D3 | 1 | 10 | yes | — |
| 503 | C4×D3 | — | 3 | 20 | no | — |
| 504 | C4×D3 | — | 3 | 60 | no | — |
| 505 | C4×D3 | — | 3 | 10 | no | — |
| 506 | C4×D3 | — | 3 | 30 | no | — |
| 507 | C4×D3 | — | 3 | 10 | no | — |
| 508 | C4×D3 | — | 3 | 30 | no | — |
| 509 | C4×D3 | — | 3 | 20 | no | — |
| 510 | C4×D3 | — | 3 | 20 | no | — |
| 511 | C4×D3 | — | 6 | 10 | no | — |
| 512 | C4×D3 | — | 6 | 30 | no | — |
| 513 | C4×D3 | C23×D3 | 1 | 30 | yes | — |
| 514 | C4×D3 | C23×D3 | 1 | 30 | yes | — |
| 515 | C4×D3 | C23×D3 | 1 | 10 | yes | — |
| 516 | C4×D3 | C23×D3 | 1 | 10 | yes | — |
| 517 | Dic6 | — | 3 | 30 | no | — |
| 518 | Dic6 | — | 3 | 30 | no | — |
| 519 | Dic6 | — | 3 | 10 | no | — |
| 520 | Dic6 | — | 3 | 30 | no | — |
| 521 | Dic6 | — | 3 | 10 | no | — |
| 522 | Dic6 | — | 3 | 30 | no | — |
| 523 | Dic6 | — | 6 | 30 | no | — |
| 524 | Dic6 | C23×D3 | 1 | 30 | yes | — |
| 525 | Dic6 | C23×D3 | 1 | 10 | yes | — |
| 526 | C2×C32 | — | 2 | 5 | no | — |
| 527 | C2×C32 | C26 | 1 | 1 | yes | characteristic |
| 528 | C3⋊D3 | — | 2 | 1 | no | — |
| 529 | C3⋊D3 | — | 2 | 5 | no | — |
| 530 | C3×D3 | — | 2 | 5 | no | — |
| 531 | C3×D3 | — | 2 | 10 | no | — |
| 532 | C3×D3 | — | 2 | 1 | no | — |
| 533 | #41 | — | 3 | 10 | no | — |
| 534 | #41 | — | 3 | 20 | no | — |
| 535 | #41 | — | 3 | 10 | no | — |
| 536 | #41 | — | 3 | 10 | no | — |
| 537 | #41 | — | 3 | 30 | no | — |
| 538 | #41 | — | 3 | 30 | no | — |
| 539 | #41 | — | 3 | 30 | no | — |
| 540 | #41 | — | 9 | 10 | no | — |
| 541 | #41 | — | 9 | 30 | no | — |
| 542 | #41 | — | 9 | 30 | no | — |
| 543 | #41 | — | 9 | 30 | no | — |
| 544 | #41 | — | 9 | 20 | no | — |
| 545 | #41 | — | 9 | 60 | no | — |
| 546 | #41 | — | 9 | 30 | no | — |
| 547 | #41 | — | 9 | 30 | no | — |
| 548 | #41 | — | 9 | 60 | no | — |
| 549 | #41 | — | 9 | 10 | no | — |
| 550 | #41 | — | 9 | 30 | no | — |
| 551 | #41 | — | 9 | 60 | no | — |
| 552 | #41 | — | 9 | 30 | no | — |
| 553 | #41 | — | 9 | 60 | no | — |
| 554 | #41 | — | 9 | 10 | no | — |
| 555 | #41 | — | 9 | 10 | no | — |
| 556 | #41 | — | 9 | 30 | no | — |
| 557 | #41 | — | 9 | 30 | no | — |
| 558 | #41 | C2×D32 | 1 | 10 | yes | — |
| 559 | C2×Q8 | — | 3 | 10 | no | — |
| 560 | C2×Q8 | — | 3 | 20 | no | — |
| 561 | C2×Q8 | — | 3 | 10 | no | — |
| 562 | C2×Q8 | — | 3 | 15 | no | — |
| 563 | C2×Q8 | — | 9 | 15 | no | — |
| 564 | C2×Q8 | — | 9 | 30 | no | — |
| 565 | C2×Q8 | — | 9 | 60 | no | — |
| 566 | C2×Q8 | — | 9 | 30 | no | — |
| 567 | C2×Q8 | — | 9 | 30 | no | — |
| 568 | C2×Q8 | — | 9 | 20 | no | — |
| 569 | C2×Q8 | — | 9 | 10 | no | — |
| 570 | C2×Q8 | — | 9 | 15 | no | — |
| 571 | C2×Q8 | C2×D32 | 1 | 5 | yes | — |
| 572 | C2×D4 | — | 3 | 10 | no | — |
| 573 | C2×D4 | — | 3 | 30 | no | — |
| 574 | C2×D4 | — | 3 | 15 | no | — |
| 575 | C2×D4 | — | 9 | 10 | no | — |
| 576 | C2×D4 | — | 9 | 30 | no | — |
| 577 | C2×D4 | — | 9 | 5 | no | — |
| 578 | C2×D4 | — | 9 | 15 | no | — |
| 579 | C2×D4 | — | 9 | 20 | no | — |
| 580 | C2×D4 | — | 9 | 30 | no | — |
| 581 | C2×D4 | — | 9 | 20 | no | — |
| 582 | C2×D4 | — | 9 | 60 | no | — |
| 583 | C2×D4 | — | 9 | 15 | no | — |
| 584 | C2×D4 | — | 9 | 10 | no | — |
| 585 | C22×C4 | — | 3 | 15 | no | — |
| 586 | C22×C4 | — | 3 | 15 | no | — |
| 587 | C22×C4 | — | 9 | 60 | no | — |
| 588 | C22×C4 | — | 9 | 30 | no | — |
| 589 | C22×C4 | — | 9 | 15 | no | — |
| 590 | C22×C3 | — | 2 | 5 | no | — |
| 591 | C22×C3 | — | 3 | 10 | no | — |
| 592 | C22×C3 | — | 3 | 5 | no | — |
| 593 | C22×C3 | — | 3 | 1 | no | — |
| 594 | C22×C3 | — | 12 | 15 | no | — |
| 595 | C22×C3 | — | 12 | 5 | no | — |
| 596 | C22×C3 | C24×D3 | 1 | 5 | yes | — |
| 597 | C22×C3 | C24×D3 | 1 | 5 | yes | — |
| 598 | C2×D3 | — | 3 | 1 | no | — |
| 599 | C2×D3 | — | 3 | 5 | no | — |
| 600 | C2×D3 | — | 3 | 1 | no | — |
| 601 | C2×D3 | — | 3 | 5 | no | — |
| 602 | C2×D3 | — | 4 | 5 | no | — |
| 603 | C2×D3 | — | 4 | 15 | no | — |
| 604 | C2×D3 | — | 6 | 1 | no | — |
| 605 | C2×D3 | — | 6 | 5 | no | — |
| 606 | C2×D3 | — | 12 | 20 | no | — |
| 607 | C2×D3 | — | 12 | 20 | no | — |
| 608 | C2×D3 | — | 12 | 5 | no | — |
| 609 | C2×D3 | — | 12 | 5 | no | — |
| 610 | C2×D3 | — | 12 | 10 | no | — |
| 611 | C2×D3 | C24×D3 | 1 | 10 | yes | — |
| 612 | C2×D3 | C24×D3 | 1 | 5 | yes | — |
| 613 | C2×D3 | C24×D3 | 1 | 1 | yes | characteristic |
| 614 | C3×C4 | — | 2 | 10 | no | — |
| 615 | C3×C4 | — | 3 | 1 | no | — |
| 616 | C3×C4 | — | 3 | 5 | no | — |
| 617 | C3×C4 | — | 3 | 10 | no | — |
| 618 | C3×C4 | C24×D3 | 1 | 10 | yes | — |
| 619 | C3×C4 | C24×D3 | 1 | 10 | yes | — |
| 620 | Dic3 | — | 3 | 10 | no | — |
| 621 | Dic3 | — | 3 | 10 | no | — |
| 622 | Dic3 | — | 6 | 10 | no | — |
| 623 | Dic3 | C24×D3 | 1 | 1 | yes | characteristic |
| 624 | Dic3 | C24×D3 | 1 | 5 | yes | — |
| 625 | Dic3 | C24×D3 | 1 | 10 | yes | — |
| 626 | C32 | 2−1+6 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 627 | C23 | — | 3 | 5 | no | — |
| 628 | C23 | — | 3 | 15 | no | — |
| 629 | C23 | — | 9 | 20 | no | — |
| 630 | C23 | — | 9 | 5 | no | — |
| 631 | Q8 | — | 3 | 30 | no | — |
| 632 | Q8 | — | 3 | 10 | no | — |
| 633 | Q8 | — | 9 | 10 | no | — |
| 634 | Q8 | — | 9 | 30 | no | — |
| 635 | Q8 | — | 9 | 30 | no | — |
| 636 | Q8 | C22×D32 | 1 | 10 | yes | — |
| 637 | D4 | — | 3 | 20 | no | — |
| 638 | D4 | — | 3 | 20 | no | — |
| 639 | D4 | — | 3 | 30 | no | — |
| 640 | D4 | — | 3 | 10 | no | — |
| 641 | D4 | — | 9 | 1 | no | — |
| 642 | D4 | — | 9 | 5 | no | — |
| 643 | D4 | — | 9 | 5 | no | — |
| 644 | D4 | — | 9 | 5 | no | — |
| 645 | D4 | — | 9 | 30 | no | — |
| 646 | D4 | — | 9 | 10 | no | — |
| 647 | D4 | — | 9 | 10 | no | — |
| 648 | D4 | — | 9 | 30 | no | — |
| 649 | D4 | — | 9 | 20 | no | — |
| 650 | D4 | — | 9 | 10 | no | — |
| 651 | D4 | C22×D32 | 1 | 10 | yes | — |
| 652 | C2×C4 | — | 3 | 5 | no | — |
| 653 | C2×C4 | — | 3 | 15 | no | — |
| 654 | C2×C4 | — | 3 | 10 | no | — |
| 655 | C2×C4 | — | 3 | 10 | no | — |
| 656 | C2×C4 | — | 3 | 30 | no | — |
| 657 | C2×C4 | — | 3 | 30 | no | — |
| 658 | C2×C4 | — | 9 | 20 | no | — |
| 659 | C2×C4 | — | 9 | 20 | no | — |
| 660 | C2×C4 | — | 9 | 60 | no | — |
| 661 | C2×C4 | — | 9 | 15 | no | — |
| 662 | C2×C4 | — | 9 | 30 | no | — |
| 663 | C2×C4 | — | 9 | 10 | no | — |
| 664 | C2×C4 | C22×D32 | 1 | 15 | yes | — |
| 665 | C2×C3 | — | 2 | 5 | no | — |
| 666 | C2×C3 | — | 2 | 5 | no | — |
| 667 | C2×C3 | — | 2 | 1 | no | — |
| 668 | C2×C3 | — | 4 | 5 | no | — |
| 669 | C2×C3 | — | 6 | 10 | no | — |
| 670 | C2×C3 | — | 6 | 5 | no | — |
| 671 | C2×C3 | — | 6 | 1 | no | — |
| 672 | C2×C3 | C25×D3 | 1 | 1 | yes | characteristic |
| 673 | C2×C3 | C25×D3 | 1 | 1 | yes | characteristic |
| 674 | D3 | — | 2 | 1 | no | — |
| 675 | D3 | — | 2 | 5 | no | — |
| 676 | D3 | — | 2 | 10 | no | — |
| 677 | D3 | — | 6 | 2 | no | — |
| 678 | D3 | — | 6 | 1 | no | — |
| 679 | D3 | — | 6 | 5 | no | — |
| 680 | D3 | — | 6 | 1 | no | — |
| 681 | D3 | — | 6 | 5 | no | — |
| 682 | D3 | — | 12 | 5 | no | — |
| 683 | C22 | — | 3 | 1 | no | — |
| 684 | C22 | — | 3 | 5 | no | — |
| 685 | C22 | — | 3 | 10 | no | — |
| 686 | C22 | — | 9 | 1 | no | — |
| 687 | C22 | — | 9 | 5 | no | — |
| 688 | C22 | — | 12 | 5 | no | — |
| 689 | C22 | — | 12 | 15 | no | — |
| 690 | C22 | — | 36 | 5 | no | — |
| 691 | C22 | — | 36 | 20 | no | — |
| 692 | C22 | C23×D32 | 1 | 5 | yes | — |
| 693 | C4 | — | 3 | 1 | no | — |
| 694 | C4 | — | 3 | 5 | no | — |
| 695 | C4 | — | 3 | 10 | no | — |
| 696 | C4 | — | 9 | 10 | no | — |
| 697 | C4 | C23×D32 | 1 | 10 | yes | — |
| 698 | C3 | — | 2 | 1 | no | — |
| 699 | C3 | #87571 | 1 | 1 | yes | characteristic, complemented |
| 700 | C3 | #87572 | 1 | 1 | yes | characteristic, complemented |
| 701 | C2 | — | 2 | 5 | no | — |
| 702 | C2 | — | 6 | 1 | no | — |
| 703 | C2 | — | 6 | 10 | no | — |
| 704 | C2 | — | 6 | 5 | no | — |
| 705 | C2 | — | 18 | 1 | no | — |
| 706 | C2 | — | 18 | 5 | no | — |
| 707 | C2 | C24×D32 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C24×D32 |
| commutator, socle, cosocle | C2×C32 | C26 |
| Fitting | C32×2−1+4 | C22 |
| hypercenter | 2−1+4 | D32 |
| hypocenter | C32 | 2−1+6 |
| LCS | G ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ 2−1+4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3⋊D3×2−1+4 | C2 | semidirect |
| 2. C3×#5968 | C2 | semidirect |
| 3. C3×D3×2−1+4 | C2 | semidirect |
| 4. #10596698 | C2 | semidirect |
| 5. #10596696 | C2 | semidirect |
| 6. #10596695 | C2 | semidirect |
| 7. D3×#1010 | C2 | semidirect |
| 8. #10596688 | C2 | semidirect |
| 9. #10596687 | C2 | semidirect |
| 10. D3×#1007 | C2 | semidirect |
| 11. C2×#64315 | C2 | semidirect |
| 14. C32×2−1+4 | C22 | semidirect |
| 15. #64367 | C22 | semidirect |
| 16. #41×C3⋊D3 | C22 | semidirect |
| 17. #64364 | C22 | semidirect |
| 18. C2×Q8×C3⋊D3 | C22 | semidirect |
| 19. C3×#1010 | C22 | semidirect |
| 20. C3×#1009 | C22 | semidirect |
| 21. C3×D3×#41 | C22 | semidirect |
| 22. C3×D3×#41 | C22 | semidirect |
| 23. C3×#1007 | C22 | semidirect |
| 24. C3×#1007 | C22 | semidirect |
| 25. C2×C3×#239 | C22 | semidirect |
| 26. C2×C3×D3×Q8 | C22 | semidirect |
| 27. #64320 | C22 | semidirect |
| 28. #64319 | C22 | semidirect |
| 29. D3×#239 | C22 | semidirect |
| 30. D32×Q8 | C22 | semidirect |
| 31. #64316 | C22 | semidirect |
| 32. #64315 | C22 | semidirect |
| 33. #64315 | C22 | semidirect |
| 34. #64315 | C22 | semidirect |
| 35. #64315 | C22 | semidirect |
| 36. #64315 | C22 | semidirect |
| 37. #64314 | C22 | semidirect |
| 38. #64314 | C22 | semidirect |
| 39. #64313 | C22 | semidirect |
| 40. D3×#237 | C22 | semidirect |
| 41. #64309 | C22 | semidirect |
| 42. #64307 | C22 | semidirect |
| 43. #64306 | C22 | semidirect |
| 44. D3×#235 | C22 | semidirect |
| 45. D3×#235 | C22 | semidirect |
| 46. C2×#3798 | C22 | semidirect |
| 47. #64298 | C22 | semidirect |
| 48. #64297 | C22 | semidirect |
| 49. C2×#3796 | C22 | semidirect |
| 50. C2×#3795 | C22 | semidirect |
| 51. C2×D3×Dic6 | C22 | semidirect |
| 56. #5968 | D3 | semidirect |
| 64. D3×2−1+4 | D3 | semidirect |
| 137. C3×2−1+4 | C2×D3 | semidirect |
| 138. C3×2−1+4 | C2×D3 | semidirect |
| 157. #1010 | C2×D3 | semidirect |
| 163. #1009 | C2×D3 | semidirect |
| 175. D3×#41 | C2×D3 | semidirect |
| 176. D3×#41 | C2×D3 | semidirect |
| 188. #1007 | C2×D3 | semidirect |
| 189. #1007 | C2×D3 | semidirect |
| 192. C2×#239 | C2×D3 | semidirect |
| 199. C2×D3×Q8 | C2×D3 | semidirect |
| 416. 2−1+4 | D32 | semidirect |
| 626. C32 | 2−1+6 | semidirect |
| 699. C3 | #87571 | semidirect |
| 700. C3 | #87572 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×2−1+4 | 2 |
| C3×#5968 | 2 |
| C3×D3×2−1+4 | 2 |
| #10596698 | 2 |
| #10596696 | 2 |
| #10596695 | 2 |
| D3×#1010 | 2 |
| #10596688 | 2 |
| #10596687 | 2 |
| D3×#1007 | 2 |
| C2×#64315 | 2 |
| #87572 | 3 |
| #87571 | 3 |