Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
11997 conjugacy classes of subgroups.
The subgroup lattice has 836 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596756 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5964 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#1010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10596698 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #10596697 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #10596694 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | D3×#1010 | C2 | 1 | 8 | yes | maximal, complemented |
| 8 | D3×#1007 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10596678 | C2 | 1 | 12 | yes | maximal, complemented |
| 10 | #10596669 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | C2×#64297 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #87572 | — | 3 | 1 | no | maximal |
| 13 | #87571 | — | 3 | 1 | no | maximal |
| 14 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #64367 | C22 | 1 | 4 | yes | complemented |
| 16 | #64366 | C22 | 1 | 4 | yes | complemented |
| 17 | #41×C3⋊D3 | C22 | 1 | 8 | yes | complemented |
| 18 | #64364 | C22 | 1 | 2 | yes | complemented |
| 19 | #64361 | C22 | 1 | 6 | yes | complemented |
| 20 | C2×#3828 | C22 | 1 | 6 | yes | complemented |
| 21 | C3×#1010 | C22 | 1 | 8 | yes | complemented |
| 22 | C3×#1010 | C22 | 1 | 4 | yes | complemented |
| 23 | C3×#1010 | C22 | 1 | 8 | yes | complemented |
| 24 | C3×#1009 | C22 | 1 | 4 | yes | complemented |
| 25 | C3×D3×#41 | C22 | 1 | 8 | yes | complemented |
| 26 | C3×#1007 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×C3×D3×Q8 | C22 | 1 | 2 | yes | complemented |
| 28 | C3×#1004 | C22 | 1 | 6 | yes | complemented |
| 29 | C2×C3×#237 | C22 | 1 | 6 | yes | complemented |
| 30 | C2×C3×#235 | C22 | 1 | 6 | yes | complemented |
| 31 | C2×C3×#235 | C22 | 1 | 3 | yes | complemented |
| 32 | C22×C3×Dic6 | C22 | 1 | 3 | yes | complemented |
| 33 | #64330 | C22 | 1 | 24 | yes | complemented |
| 34 | C2×#3804 | C22 | 1 | 24 | yes | complemented |
| 35 | D3×#239 | C22 | 1 | 16 | yes | complemented |
| 36 | D32×Q8 | C22 | 1 | 16 | yes | complemented |
| 37 | #64316 | C22 | 1 | 16 | yes | complemented |
| 38 | #64315 | C22 | 1 | 16 | yes | complemented |
| 39 | #64314 | C22 | 1 | 48 | yes | complemented |
| 40 | #64312 | C22 | 1 | 48 | yes | complemented |
| 41 | D3×#237 | C22 | 1 | 48 | yes | complemented |
| 42 | #64309 | C22 | 1 | 48 | yes | complemented |
| 43 | #64308 | C22 | 1 | 12 | yes | complemented |
| 44 | #64307 | C22 | 1 | 4 | yes | complemented |
| 45 | #64307 | C22 | 1 | 12 | yes | complemented |
| 46 | #64306 | C22 | 1 | 24 | yes | complemented |
| 47 | D3×#235 | C22 | 1 | 24 | yes | complemented |
| 48 | D3×#235 | C22 | 1 | 24 | yes | complemented |
| 49 | C2×#3799 | C22 | 1 | 12 | yes | complemented |
| 50 | C2×#3797 | C22 | 1 | 12 | yes | complemented |
| 51 | #64298 | C22 | 1 | 12 | yes | complemented |
| 52 | #64297 | C22 | 1 | 12 | yes | complemented |
| 53 | #64297 | C22 | 1 | 24 | yes | complemented |
| 54 | #64297 | C22 | 1 | 24 | yes | complemented |
| 55 | #64297 | C22 | 1 | 24 | yes | complemented |
| 56 | #64297 | C22 | 1 | 12 | yes | complemented |
| 57 | C2×#3796 | C22 | 1 | 12 | yes | complemented |
| 58 | C2×D3×Dic6 | C22 | 1 | 12 | yes | complemented |
| 59 | C3×#585 | — | 3 | 1 | no | — |
| 60 | C2×C3×2−1+4 | — | 3 | 1 | no | — |
| 61 | #5968 | — | 3 | 8 | no | — |
| 62 | #5968 | — | 3 | 8 | no | — |
| 63 | D3×2−1+4 | — | 3 | 8 | no | — |
| 64 | D3×2−1+4 | — | 3 | 8 | no | — |
| 65 | D3×2−1+4 | — | 3 | 8 | no | — |
| 66 | D3×2−1+4 | — | 3 | 4 | no | — |
| 67 | #5966 | — | 3 | 8 | no | — |
| 68 | #5966 | — | 3 | 12 | no | — |
| 69 | #5964 | — | 3 | 1 | no | — |
| 70 | #5964 | — | 3 | 1 | no | — |
| 71 | #5964 | — | 3 | 8 | no | — |
| 72 | #5964 | — | 3 | 12 | no | — |
| 73 | #5964 | — | 3 | 6 | no | — |
| 74 | #5964 | — | 3 | 6 | no | — |
| 75 | #5964 | — | 6 | 1 | no | — |
| 76 | #5964 | D3 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×#1010 | — | 3 | 8 | no | — |
| 78 | C2×#1010 | — | 3 | 6 | no | — |
| 79 | C2×#1010 | D3 | 1 | 1 | yes | characteristic, complemented |
| 80 | C2×#1007 | — | 3 | 4 | no | — |
| 81 | C2×#1007 | — | 3 | 6 | no | — |
| 82 | C32×#41 | C23 | 1 | 4 | yes | — |
| 83 | C32×#41 | C23 | 1 | 4 | yes | — |
| 84 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C32×D4 | C23 | 1 | 3 | yes | — |
| 86 | C22×C32×C4 | C23 | 1 | 3 | yes | — |
| 87 | C2×#638 | C23 | 1 | 12 | yes | — |
| 88 | #3832 | C23 | 1 | 8 | yes | — |
| 89 | Q8×C3⋊D3 | C23 | 1 | 8 | yes | — |
| 90 | #3830 | C23 | 1 | 24 | yes | — |
| 91 | D4×C3⋊D3 | C23 | 1 | 24 | yes | — |
| 92 | #3828 | C23 | 1 | 4 | yes | — |
| 93 | #3828 | C23 | 1 | 12 | yes | — |
| 94 | #3828 | C23 | 1 | 12 | yes | — |
| 95 | #3828 | C23 | 1 | 12 | yes | — |
| 96 | C2×C4⋊(C3⋊D3) | C23 | 1 | 6 | yes | — |
| 97 | C2×C4×C3⋊D3 | C23 | 1 | 12 | yes | — |
| 98 | C2×#634 | C23 | 1 | 6 | yes | — |
| 99 | C2×C3×#67 | C23 | 1 | 12 | yes | — |
| 100 | C2×C3×#67 | C23 | 1 | 6 | yes | — |
| 101 | C22×C3×Dic3 | C23 | 1 | 6 | yes | — |
| 102 | C3×#239 | C23 | 1 | 8 | yes | — |
| 103 | C3×D3×Q8 | C23 | 1 | 16 | yes | — |
| 104 | C3×D3×Q8 | C23 | 1 | 8 | yes | — |
| 105 | C3×#237 | C23 | 1 | 24 | yes | — |
| 106 | C3×#237 | C23 | 1 | 48 | yes | — |
| 107 | C3×D3×D4 | C23 | 1 | 24 | yes | — |
| 108 | C3×#235 | C23 | 1 | 4 | yes | — |
| 109 | C3×#235 | C23 | 1 | 12 | yes | — |
| 110 | C3×#235 | C23 | 1 | 12 | yes | — |
| 111 | C3×#235 | C23 | 1 | 12 | yes | — |
| 112 | C3×#235 | C23 | 1 | 12 | yes | — |
| 113 | C3×#235 | C23 | 1 | 12 | yes | — |
| 114 | C2×C3×D12 | C23 | 1 | 6 | yes | — |
| 115 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×C3×C4×D3 | C23 | 1 | 12 | yes | — |
| 117 | C2×C3×C4×D3 | C23 | 1 | 6 | yes | — |
| 118 | C2×C3×Dic6 | C23 | 1 | 12 | yes | — |
| 119 | C2×C3×Dic6 | C23 | 1 | 12 | yes | — |
| 120 | C2×C3×Dic6 | C23 | 1 | 3 | yes | — |
| 121 | C2×C3×Dic6 | C23 | 1 | 6 | yes | — |
| 122 | C2×C3×Dic6 | C23 | 1 | 6 | yes | — |
| 123 | #3811 | C23 | 1 | 48 | yes | — |
| 124 | D3×#67 | C23 | 1 | 16 | yes | — |
| 125 | D3×#67 | C23 | 1 | 48 | yes | — |
| 126 | C2×#627 | C23 | 1 | 24 | yes | — |
| 127 | C2×#626 | C23 | 1 | 24 | yes | — |
| 128 | C2×#624 | C23 | 1 | 24 | yes | — |
| 129 | #3805 | C23 | 1 | 48 | yes | — |
| 130 | #3804 | C23 | 1 | 48 | yes | — |
| 131 | #3804 | C23 | 1 | 96 | yes | — |
| 132 | #3804 | C23 | 1 | 48 | yes | — |
| 133 | C2×D3×Dic3 | C23 | 1 | 24 | yes | — |
| 134 | #3802 | C23 | 1 | 8 | yes | — |
| 135 | D3×D12 | C23 | 1 | 8 | yes | — |
| 136 | D3×D12 | C23 | 1 | 24 | yes | — |
| 137 | C4×D32 | C23 | 1 | 48 | yes | — |
| 138 | #3799 | C23 | 1 | 24 | yes | — |
| 139 | #3799 | C23 | 1 | 48 | yes | — |
| 140 | #3799 | C23 | 1 | 24 | yes | — |
| 141 | #3798 | C23 | 1 | 48 | yes | — |
| 142 | #3797 | C23 | 1 | 24 | yes | — |
| 143 | #3797 | C23 | 1 | 48 | yes | — |
| 144 | #3796 | C23 | 1 | 24 | yes | — |
| 145 | #3796 | C23 | 1 | 48 | yes | — |
| 146 | #3796 | C23 | 1 | 8 | yes | — |
| 147 | #3795 | C23 | 1 | 8 | yes | — |
| 148 | #3795 | C23 | 1 | 24 | yes | — |
| 149 | D3×Dic6 | C23 | 1 | 24 | yes | — |
| 150 | D3×Dic6 | C23 | 1 | 48 | yes | — |
| 151 | D3×Dic6 | C23 | 1 | 24 | yes | — |
| 152 | 2−1+6 | — | 9 | 1 | no | Sylow |
| 153 | C3×2−1+4 | — | 3 | 4 | no | — |
| 154 | C3×2−1+4 | — | 3 | 8 | no | — |
| 155 | C3×2−1+4 | — | 3 | 8 | no | — |
| 156 | C3×2−1+4 | — | 3 | 2 | no | — |
| 157 | C3×H(5,𝔽2) | — | 3 | 4 | no | — |
| 158 | C3×H(5,𝔽2) | — | 3 | 6 | no | — |
| 159 | C2×C3×#41 | — | 2 | 1 | no | — |
| 160 | C2×C3×#41 | — | 3 | 8 | no | — |
| 161 | C2×C3×#41 | — | 3 | 6 | no | — |
| 162 | C2×C3×#41 | — | 3 | 6 | no | — |
| 163 | C2×C3×#41 | — | 3 | 3 | no | — |
| 164 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 165 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 166 | C22×C3×Q8 | — | 3 | 2 | no | — |
| 167 | C22×C3×Q8 | — | 3 | 3 | no | — |
| 168 | #1010 | — | 3 | 4 | no | — |
| 169 | #1010 | — | 3 | 4 | no | — |
| 170 | #1010 | — | 3 | 16 | no | — |
| 171 | #1010 | — | 3 | 48 | no | — |
| 172 | #1010 | — | 3 | 48 | no | — |
| 173 | #1010 | — | 3 | 12 | no | — |
| 174 | #1010 | — | 3 | 12 | no | — |
| 175 | #1010 | — | 3 | 24 | no | — |
| 176 | #1010 | — | 3 | 12 | no | — |
| 177 | #1010 | — | 3 | 24 | no | — |
| 178 | #1010 | — | 3 | 24 | no | — |
| 179 | #1010 | — | 3 | 12 | no | — |
| 180 | #1010 | — | 6 | 4 | no | — |
| 181 | #1010 | C2×D3 | 1 | 8 | yes | complemented |
| 182 | #1010 | C2×D3 | 1 | 8 | yes | complemented |
| 183 | #1010 | C2×D3 | 1 | 4 | yes | complemented |
| 184 | #1009 | — | 3 | 4 | no | — |
| 185 | #1009 | — | 3 | 4 | no | — |
| 186 | #1009 | — | 3 | 48 | no | — |
| 187 | #1009 | — | 3 | 12 | no | — |
| 188 | #1009 | — | 3 | 12 | no | — |
| 189 | #1009 | — | 3 | 4 | no | — |
| 190 | #1009 | — | 3 | 12 | no | — |
| 191 | #1009 | — | 6 | 4 | no | — |
| 192 | #1009 | C2×D3 | 1 | 4 | yes | complemented |
| 193 | D3×#41 | — | 3 | 8 | no | — |
| 194 | D3×#41 | — | 3 | 8 | no | — |
| 195 | D3×#41 | — | 3 | 16 | no | — |
| 196 | D3×#41 | — | 3 | 48 | no | — |
| 197 | D3×#41 | — | 3 | 48 | no | — |
| 198 | D3×#41 | — | 3 | 48 | no | — |
| 199 | D3×#41 | — | 3 | 24 | no | — |
| 200 | D3×#41 | — | 3 | 24 | no | — |
| 201 | D3×#41 | — | 3 | 24 | no | — |
| 202 | D3×#41 | — | 3 | 24 | no | — |
| 203 | D3×#41 | — | 6 | 8 | no | — |
| 204 | D3×#41 | C2×D3 | 1 | 8 | yes | complemented |
| 205 | #1007 | — | 3 | 2 | no | — |
| 206 | #1007 | — | 3 | 2 | no | — |
| 207 | #1007 | — | 3 | 16 | no | — |
| 208 | #1007 | — | 3 | 16 | no | — |
| 209 | #1007 | — | 3 | 16 | no | — |
| 210 | #1007 | — | 3 | 24 | no | — |
| 211 | #1007 | — | 3 | 12 | no | — |
| 212 | #1007 | — | 3 | 24 | no | — |
| 213 | #1007 | — | 3 | 24 | no | — |
| 214 | #1007 | — | 3 | 12 | no | — |
| 215 | #1007 | — | 6 | 2 | no | — |
| 216 | #1007 | C2×D3 | 1 | 2 | yes | complemented |
| 217 | C2×#239 | — | 3 | 16 | no | — |
| 218 | C2×#239 | — | 3 | 12 | no | — |
| 219 | C2×#239 | — | 3 | 12 | no | — |
| 220 | C2×D3×Q8 | — | 3 | 16 | no | — |
| 221 | C2×D3×Q8 | — | 3 | 16 | no | — |
| 222 | C2×D3×Q8 | — | 3 | 12 | no | — |
| 223 | C2×D3×Q8 | — | 3 | 12 | no | — |
| 224 | C2×D3×Q8 | — | 3 | 12 | no | — |
| 225 | C2×D3×Q8 | C2×D3 | 1 | 2 | yes | complemented |
| 226 | #1004 | — | 3 | 6 | no | — |
| 227 | #1004 | — | 3 | 6 | no | — |
| 228 | #1004 | — | 3 | 24 | no | — |
| 229 | #1004 | — | 3 | 24 | no | — |
| 230 | #1004 | — | 3 | 48 | no | — |
| 231 | #1004 | — | 3 | 4 | no | — |
| 232 | #1004 | — | 3 | 12 | no | — |
| 233 | #1004 | — | 6 | 6 | no | — |
| 234 | #1004 | C2×D3 | 1 | 6 | yes | complemented |
| 235 | C2×#237 | — | 3 | 24 | no | — |
| 236 | C2×#237 | — | 3 | 48 | no | — |
| 237 | C2×#237 | — | 3 | 12 | no | — |
| 238 | C2×#237 | C2×D3 | 1 | 6 | yes | complemented |
| 239 | C2×#235 | — | 3 | 6 | no | — |
| 240 | C2×#235 | — | 3 | 6 | no | — |
| 241 | C2×#235 | — | 3 | 24 | no | — |
| 242 | C2×#235 | — | 3 | 24 | no | — |
| 243 | C2×#235 | — | 3 | 24 | no | — |
| 244 | C2×#235 | — | 3 | 12 | no | — |
| 245 | C2×#235 | — | 6 | 6 | no | — |
| 246 | C2×#235 | C2×D3 | 1 | 6 | yes | complemented |
| 247 | C2×#235 | C2×D3 | 1 | 3 | yes | complemented |
| 248 | C22×Dic6 | — | 3 | 12 | no | — |
| 249 | C22×Dic6 | C2×D3 | 1 | 3 | yes | complemented |
| 250 | C23×C32 | C24 | 1 | 3 | yes | — |
| 251 | C22×C3⋊D3 | C24 | 1 | 12 | yes | — |
| 252 | C22×C3×D3 | C24 | 1 | 12 | yes | — |
| 253 | C22×C3×D3 | C24 | 1 | 2 | yes | — |
| 254 | C2×D32 | C24 | 1 | 16 | yes | — |
| 255 | C32×Q8 | C24 | 1 | 4 | yes | — |
| 256 | C32×D4 | C24 | 1 | 12 | yes | — |
| 257 | C2×C32×C4 | C24 | 1 | 6 | yes | — |
| 258 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 259 | C2×C32×C4 | C24 | 1 | 6 | yes | — |
| 260 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 261 | #638 | C24 | 1 | 8 | yes | — |
| 262 | #638 | C24 | 1 | 24 | yes | — |
| 263 | C2×C3⋊Dic3 | C24 | 1 | 12 | yes | — |
| 264 | C4⋊(C3⋊D3) | C24 | 1 | 4 | yes | — |
| 265 | C4⋊(C3⋊D3) | C24 | 1 | 12 | yes | — |
| 266 | C4×C3⋊D3 | C24 | 1 | 8 | yes | — |
| 267 | C4×C3⋊D3 | C24 | 1 | 24 | yes | — |
| 268 | #634 | C24 | 1 | 4 | yes | — |
| 269 | #634 | C24 | 1 | 12 | yes | — |
| 270 | C3×#67 | C24 | 1 | 8 | yes | — |
| 271 | C3×#67 | C24 | 1 | 24 | yes | — |
| 272 | C3×#67 | C24 | 1 | 24 | yes | — |
| 273 | C2×C3×Dic3 | C24 | 1 | 24 | yes | — |
| 274 | C2×C3×Dic3 | C24 | 1 | 6 | yes | — |
| 275 | C2×C3×Dic3 | C24 | 1 | 12 | yes | — |
| 276 | C3×D12 | C24 | 1 | 2 | yes | — |
| 277 | C3×D12 | C24 | 1 | 12 | yes | — |
| 278 | C3×D12 | C24 | 1 | 4 | yes | — |
| 279 | C3×D12 | C24 | 1 | 2 | yes | — |
| 280 | C3×C4×D3 | C24 | 1 | 8 | yes | — |
| 281 | C3×C4×D3 | C24 | 1 | 24 | yes | — |
| 282 | C3×C4×D3 | C24 | 1 | 24 | yes | — |
| 283 | C3×Dic6 | C24 | 1 | 6 | yes | — |
| 284 | C3×Dic6 | C24 | 1 | 24 | yes | — |
| 285 | C3×Dic6 | C24 | 1 | 12 | yes | — |
| 286 | C3×Dic6 | C24 | 1 | 6 | yes | — |
| 287 | C3×Dic6 | C24 | 1 | 4 | yes | — |
| 288 | #627 | C24 | 1 | 48 | yes | — |
| 289 | #626 | C24 | 1 | 48 | yes | — |
| 290 | #626 | C24 | 1 | 16 | yes | — |
| 291 | #625 | C24 | 1 | 16 | yes | — |
| 292 | #624 | C24 | 1 | 48 | yes | — |
| 293 | D3×Dic3 | C24 | 1 | 48 | yes | — |
| 294 | D3×Dic3 | C24 | 1 | 16 | yes | — |
| 295 | #585 | — | 3 | 1 | no | — |
| 296 | #585 | — | 9 | 6 | no | — |
| 297 | #585 | — | 9 | 12 | no | — |
| 298 | #585 | — | 9 | 8 | no | — |
| 299 | #585 | — | 9 | 8 | no | — |
| 300 | #585 | — | 9 | 1 | no | — |
| 301 | C2×2−1+4 | — | 3 | 1 | no | — |
| 302 | C2×2−1+4 | — | 9 | 6 | no | — |
| 303 | C2×2−1+4 | — | 9 | 4 | no | — |
| 304 | C2×2−1+4 | — | 9 | 8 | no | — |
| 305 | C2×2−1+4 | — | 9 | 8 | no | — |
| 306 | C3×#41 | — | 2 | 4 | no | — |
| 307 | C3×#41 | — | 2 | 4 | no | — |
| 308 | C3×#41 | — | 3 | 8 | no | — |
| 309 | C3×#41 | — | 3 | 48 | no | — |
| 310 | C3×#41 | — | 3 | 24 | no | — |
| 311 | C3×#41 | — | 3 | 12 | no | — |
| 312 | C3×#41 | — | 3 | 12 | no | — |
| 313 | C3×#41 | — | 3 | 12 | no | — |
| 314 | C3×#41 | — | 3 | 12 | no | — |
| 315 | C3×#41 | — | 3 | 12 | no | — |
| 316 | C3×#41 | — | 3 | 4 | no | — |
| 317 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 318 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 319 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 320 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 321 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 322 | C2×C3×Q8 | — | 3 | 8 | no | — |
| 323 | C2×C3×Q8 | — | 3 | 16 | no | — |
| 324 | C2×C3×Q8 | — | 3 | 6 | no | — |
| 325 | C2×C3×Q8 | — | 3 | 12 | no | — |
| 326 | C2×C3×Q8 | — | 3 | 12 | no | — |
| 327 | C2×C3×Q8 | — | 3 | 6 | no | — |
| 328 | C2×C3×Q8 | — | 3 | 3 | no | — |
| 329 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 330 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 331 | C2×C3×D4 | — | 2 | 3 | no | — |
| 332 | C2×C3×D4 | — | 3 | 12 | no | — |
| 333 | C2×C3×D4 | — | 3 | 6 | no | — |
| 334 | C2×C3×D4 | — | 3 | 24 | no | — |
| 335 | C2×C3×D4 | — | 3 | 6 | no | — |
| 336 | C2×C3×D4 | — | 3 | 1 | no | — |
| 337 | C2×C3×D4 | C22×D3 | 1 | 3 | yes | — |
| 338 | C2×C3×D4 | C22×D3 | 1 | 3 | yes | — |
| 339 | C22×C3×C4 | — | 2 | 3 | no | — |
| 340 | C22×C3×C4 | — | 3 | 6 | no | — |
| 341 | C22×C3×C4 | — | 3 | 12 | no | — |
| 342 | C22×C3×C4 | — | 3 | 6 | no | — |
| 343 | C22×C3×C4 | C22×D3 | 1 | 3 | yes | — |
| 344 | C22×C3×C4 | C22×D3 | 1 | 3 | yes | — |
| 345 | C2×#67 | — | 3 | 12 | no | — |
| 346 | C2×#67 | — | 3 | 12 | no | — |
| 347 | C2×#67 | — | 3 | 16 | no | — |
| 348 | C2×#67 | — | 3 | 48 | no | — |
| 349 | C2×#67 | — | 3 | 24 | no | — |
| 350 | C2×#67 | — | 6 | 12 | no | — |
| 351 | C2×#67 | C22×D3 | 1 | 12 | yes | — |
| 352 | C2×#67 | C22×D3 | 1 | 6 | yes | — |
| 353 | C22×Dic3 | — | 3 | 24 | no | — |
| 354 | C22×Dic3 | C22×D3 | 1 | 6 | yes | — |
| 355 | #239 | — | 3 | 8 | no | — |
| 356 | #239 | — | 3 | 8 | no | — |
| 357 | #239 | — | 3 | 48 | no | — |
| 358 | #239 | — | 3 | 24 | no | — |
| 359 | #239 | — | 3 | 8 | no | — |
| 360 | #239 | — | 3 | 48 | no | — |
| 361 | #239 | — | 3 | 24 | no | — |
| 362 | #239 | — | 3 | 24 | no | — |
| 363 | #239 | — | 6 | 8 | no | — |
| 364 | #239 | C22×D3 | 1 | 8 | yes | — |
| 365 | D3×Q8 | — | 3 | 8 | no | — |
| 366 | D3×Q8 | — | 3 | 8 | no | — |
| 367 | D3×Q8 | — | 3 | 48 | no | — |
| 368 | D3×Q8 | — | 3 | 24 | no | — |
| 369 | D3×Q8 | — | 3 | 24 | no | — |
| 370 | D3×Q8 | — | 3 | 48 | no | — |
| 371 | D3×Q8 | — | 3 | 24 | no | — |
| 372 | D3×Q8 | — | 3 | 48 | no | — |
| 373 | D3×Q8 | — | 3 | 24 | no | — |
| 374 | D3×Q8 | — | 6 | 8 | no | — |
| 375 | D3×Q8 | C22×D3 | 1 | 8 | yes | — |
| 376 | D3×Q8 | C22×D3 | 1 | 16 | yes | — |
| 377 | #237 | — | 3 | 24 | no | — |
| 378 | #237 | — | 3 | 24 | no | — |
| 379 | #237 | — | 3 | 48 | no | — |
| 380 | #237 | — | 3 | 48 | no | — |
| 381 | #237 | — | 3 | 96 | no | — |
| 382 | #237 | — | 3 | 48 | no | — |
| 383 | #237 | — | 3 | 48 | no | — |
| 384 | #237 | — | 3 | 24 | no | — |
| 385 | #237 | — | 3 | 8 | no | — |
| 386 | #237 | — | 3 | 48 | no | — |
| 387 | #237 | — | 3 | 24 | no | — |
| 388 | #237 | — | 3 | 8 | no | — |
| 389 | #237 | — | 6 | 24 | no | — |
| 390 | #237 | C22×D3 | 1 | 48 | yes | — |
| 391 | #237 | C22×D3 | 1 | 24 | yes | — |
| 392 | D3×D4 | — | 3 | 16 | no | — |
| 393 | D3×D4 | — | 3 | 48 | no | — |
| 394 | D3×D4 | — | 3 | 24 | no | — |
| 395 | D3×D4 | — | 3 | 24 | no | — |
| 396 | D3×D4 | — | 3 | 48 | no | — |
| 397 | D3×D4 | — | 3 | 48 | no | — |
| 398 | D3×D4 | — | 3 | 8 | no | — |
| 399 | D3×D4 | — | 3 | 8 | no | — |
| 400 | D3×D4 | — | 3 | 24 | no | — |
| 401 | D3×D4 | — | 3 | 8 | no | — |
| 402 | D3×D4 | — | 6 | 24 | no | — |
| 403 | D3×D4 | C22×D3 | 1 | 24 | yes | — |
| 404 | #235 | — | 3 | 12 | no | — |
| 405 | #235 | — | 3 | 4 | no | — |
| 406 | #235 | — | 3 | 12 | no | — |
| 407 | #235 | — | 3 | 4 | no | — |
| 408 | #235 | — | 3 | 12 | no | — |
| 409 | #235 | — | 3 | 12 | no | — |
| 410 | #235 | — | 3 | 12 | no | — |
| 411 | #235 | — | 3 | 12 | no | — |
| 412 | #235 | — | 3 | 48 | no | — |
| 413 | #235 | — | 3 | 48 | no | — |
| 414 | #235 | — | 3 | 96 | no | — |
| 415 | #235 | — | 3 | 8 | no | — |
| 416 | #235 | — | 3 | 24 | no | — |
| 417 | #235 | — | 3 | 48 | no | — |
| 418 | #235 | — | 3 | 48 | no | — |
| 419 | #235 | — | 3 | 24 | no | — |
| 420 | #235 | — | 3 | 48 | no | — |
| 421 | #235 | — | 3 | 24 | no | — |
| 422 | #235 | — | 6 | 4 | no | — |
| 423 | #235 | — | 6 | 12 | no | — |
| 424 | #235 | — | 6 | 12 | no | — |
| 425 | #235 | — | 6 | 12 | no | — |
| 426 | #235 | C22×D3 | 1 | 12 | yes | — |
| 427 | #235 | C22×D3 | 1 | 12 | yes | — |
| 428 | #235 | C22×D3 | 1 | 4 | yes | — |
| 429 | #235 | C22×D3 | 1 | 12 | yes | — |
| 430 | #235 | C22×D3 | 1 | 12 | yes | — |
| 431 | #235 | C22×D3 | 1 | 12 | yes | — |
| 432 | C2×D12 | — | 3 | 24 | no | — |
| 433 | C2×D12 | — | 3 | 6 | no | — |
| 434 | C2×D12 | — | 3 | 6 | no | — |
| 435 | C2×D12 | — | 3 | 8 | no | — |
| 436 | C2×D12 | — | 3 | 24 | no | — |
| 437 | C2×D12 | — | 6 | 6 | no | — |
| 438 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 439 | C2×D12 | C22×D3 | 1 | 6 | yes | — |
| 440 | C2×C4×D3 | — | 3 | 24 | no | — |
| 441 | C2×C4×D3 | — | 3 | 12 | no | — |
| 442 | C2×C4×D3 | — | 3 | 12 | no | — |
| 443 | C2×C4×D3 | — | 3 | 24 | no | — |
| 444 | C2×C4×D3 | — | 3 | 24 | no | — |
| 445 | C2×C4×D3 | — | 3 | 48 | no | — |
| 446 | C2×C4×D3 | — | 3 | 48 | no | — |
| 447 | C2×C4×D3 | — | 6 | 12 | no | — |
| 448 | C2×C4×D3 | C22×D3 | 1 | 6 | yes | — |
| 449 | C2×C4×D3 | C22×D3 | 1 | 12 | yes | — |
| 450 | C2×Dic6 | — | 3 | 6 | no | — |
| 451 | C2×Dic6 | — | 3 | 6 | no | — |
| 452 | C2×Dic6 | — | 3 | 24 | no | — |
| 453 | C2×Dic6 | — | 3 | 24 | no | — |
| 454 | C2×Dic6 | — | 3 | 24 | no | — |
| 455 | C2×Dic6 | — | 3 | 48 | no | — |
| 456 | C2×Dic6 | — | 3 | 24 | no | — |
| 457 | C2×Dic6 | — | 6 | 6 | no | — |
| 458 | C2×Dic6 | C22×D3 | 1 | 12 | yes | — |
| 459 | C2×Dic6 | C22×D3 | 1 | 3 | yes | — |
| 460 | C2×Dic6 | C22×D3 | 1 | 12 | yes | — |
| 461 | C2×Dic6 | C22×D3 | 1 | 6 | yes | — |
| 462 | C2×Dic6 | C22×D3 | 1 | 6 | yes | — |
| 463 | C22×C32 | — | 4 | 3 | no | — |
| 464 | C22×C32 | C25 | 1 | 6 | yes | — |
| 465 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 466 | C2×C3⋊D3 | — | 4 | 12 | no | — |
| 467 | C2×C3⋊D3 | C25 | 1 | 8 | yes | — |
| 468 | C2×C3×D3 | — | 4 | 2 | no | — |
| 469 | C2×C3×D3 | — | 4 | 12 | no | — |
| 470 | C2×C3×D3 | C25 | 1 | 8 | yes | — |
| 471 | C2×C3×D3 | C25 | 1 | 4 | yes | — |
| 472 | D32 | — | 4 | 16 | no | — |
| 473 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 474 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 475 | C32×C4 | C25 | 1 | 6 | yes | — |
| 476 | C3⋊Dic3 | C25 | 1 | 8 | yes | — |
| 477 | C3×Dic3 | C25 | 1 | 12 | yes | — |
| 478 | C3×Dic3 | C25 | 1 | 8 | yes | — |
| 479 | 2−1+4 | — | 3 | 8 | no | — |
| 480 | 2−1+4 | — | 3 | 8 | no | — |
| 481 | 2−1+4 | — | 3 | 4 | no | — |
| 482 | 2−1+4 | — | 3 | 2 | no | — |
| 483 | 2−1+4 | — | 9 | 16 | no | — |
| 484 | 2−1+4 | — | 9 | 16 | no | — |
| 485 | 2−1+4 | — | 9 | 12 | no | — |
| 486 | 2−1+4 | — | 9 | 24 | no | — |
| 487 | 2−1+4 | — | 9 | 24 | no | — |
| 488 | 2−1+4 | — | 9 | 24 | no | — |
| 489 | 2−1+4 | — | 9 | 12 | no | — |
| 490 | 2−1+4 | — | 9 | 48 | no | — |
| 491 | 2−1+4 | — | 9 | 12 | no | — |
| 492 | 2−1+4 | — | 9 | 4 | no | — |
| 493 | 2−1+4 | — | 9 | 2 | no | — |
| 494 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 495 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 496 | H(5,𝔽2) | — | 9 | 24 | no | — |
| 497 | H(5,𝔽2) | — | 9 | 48 | no | — |
| 498 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 499 | H(5,𝔽2) | — | 9 | 12 | no | — |
| 500 | H(5,𝔽2) | — | 9 | 12 | no | — |
| 501 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 502 | H(5,𝔽2) | — | 9 | 6 | no | — |
| 503 | C2×#41 | — | 3 | 8 | no | — |
| 504 | C2×#41 | — | 3 | 6 | no | — |
| 505 | C2×#41 | — | 3 | 3 | no | — |
| 506 | C2×#41 | — | 3 | 6 | no | — |
| 507 | C2×#41 | — | 9 | 24 | no | — |
| 508 | C2×#41 | — | 9 | 12 | no | — |
| 509 | C2×#41 | — | 9 | 24 | no | — |
| 510 | C2×#41 | — | 9 | 24 | no | — |
| 511 | C2×#41 | — | 9 | 12 | no | — |
| 512 | C2×#41 | — | 9 | 48 | no | — |
| 513 | C2×#41 | — | 9 | 16 | no | — |
| 514 | C2×#41 | — | 9 | 48 | no | — |
| 515 | C2×#41 | — | 9 | 24 | no | — |
| 516 | C2×#41 | — | 9 | 8 | no | — |
| 517 | C2×#41 | — | 9 | 6 | no | — |
| 518 | C2×#41 | D32 | 1 | 1 | yes | characteristic, complemented |
| 519 | C22×Q8 | — | 3 | 2 | no | — |
| 520 | C22×Q8 | — | 3 | 3 | no | — |
| 521 | C22×Q8 | — | 9 | 12 | no | — |
| 522 | C22×Q8 | — | 9 | 16 | no | — |
| 523 | C22×Q8 | — | 9 | 12 | no | — |
| 524 | C23×C3 | — | 2 | 3 | no | — |
| 525 | C23×C3 | — | 3 | 12 | no | — |
| 526 | C23×C3 | — | 3 | 2 | no | — |
| 527 | C23×C3 | C23×D3 | 1 | 3 | yes | — |
| 528 | C23×C3 | C23×D3 | 1 | 3 | yes | — |
| 529 | C22×D3 | — | 3 | 12 | no | — |
| 530 | C22×D3 | — | 3 | 12 | no | — |
| 531 | C22×D3 | — | 3 | 16 | no | — |
| 532 | C22×D3 | — | 3 | 16 | no | — |
| 533 | C22×D3 | — | 6 | 12 | no | — |
| 534 | C22×D3 | C23×D3 | 1 | 12 | yes | — |
| 535 | C22×D3 | C23×D3 | 1 | 2 | yes | — |
| 536 | C3×Q8 | — | 2 | 4 | no | — |
| 537 | C3×Q8 | — | 3 | 12 | no | — |
| 538 | C3×Q8 | — | 3 | 4 | no | — |
| 539 | C3×Q8 | — | 3 | 6 | no | — |
| 540 | C3×Q8 | — | 3 | 24 | no | — |
| 541 | C3×Q8 | — | 3 | 6 | no | — |
| 542 | C3×Q8 | C23×D3 | 1 | 4 | yes | — |
| 543 | C3×Q8 | C23×D3 | 1 | 4 | yes | — |
| 544 | C3×D4 | — | 2 | 12 | no | — |
| 545 | C3×D4 | — | 3 | 24 | no | — |
| 546 | C3×D4 | — | 3 | 24 | no | — |
| 547 | C3×D4 | — | 3 | 8 | no | — |
| 548 | C3×D4 | — | 3 | 2 | no | — |
| 549 | C3×D4 | — | 3 | 2 | no | — |
| 550 | C3×D4 | — | 3 | 12 | no | — |
| 551 | C3×D4 | — | 3 | 4 | no | — |
| 552 | C3×D4 | C23×D3 | 1 | 12 | yes | — |
| 553 | C3×D4 | C23×D3 | 1 | 12 | yes | — |
| 554 | C2×C3×C4 | — | 2 | 6 | no | — |
| 555 | C2×C3×C4 | — | 2 | 6 | no | — |
| 556 | C2×C3×C4 | — | 2 | 1 | no | — |
| 557 | C2×C3×C4 | — | 2 | 3 | no | — |
| 558 | C2×C3×C4 | — | 3 | 12 | no | — |
| 559 | C2×C3×C4 | — | 3 | 24 | no | — |
| 560 | C2×C3×C4 | — | 3 | 6 | no | — |
| 561 | C2×C3×C4 | — | 3 | 8 | no | — |
| 562 | C2×C3×C4 | — | 3 | 24 | no | — |
| 563 | C2×C3×C4 | — | 3 | 24 | no | — |
| 564 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 565 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 566 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 567 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 568 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 569 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 570 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 571 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 572 | #67 | — | 3 | 8 | no | — |
| 573 | #67 | — | 3 | 24 | no | — |
| 574 | #67 | — | 3 | 24 | no | — |
| 575 | #67 | — | 3 | 8 | no | — |
| 576 | #67 | — | 3 | 16 | no | — |
| 577 | #67 | — | 3 | 16 | no | — |
| 578 | #67 | — | 3 | 16 | no | — |
| 579 | #67 | — | 3 | 48 | no | — |
| 580 | #67 | — | 6 | 8 | no | — |
| 581 | #67 | — | 6 | 24 | no | — |
| 582 | #67 | C23×D3 | 1 | 8 | yes | — |
| 583 | #67 | C23×D3 | 1 | 24 | yes | — |
| 584 | #67 | C23×D3 | 1 | 24 | yes | — |
| 585 | C2×Dic3 | — | 3 | 12 | no | — |
| 586 | C2×Dic3 | — | 3 | 12 | no | — |
| 587 | C2×Dic3 | — | 3 | 16 | no | — |
| 588 | C2×Dic3 | — | 3 | 48 | no | — |
| 589 | C2×Dic3 | — | 6 | 12 | no | — |
| 590 | C2×Dic3 | C23×D3 | 1 | 12 | yes | — |
| 591 | C2×Dic3 | C23×D3 | 1 | 24 | yes | — |
| 592 | C2×Dic3 | C23×D3 | 1 | 6 | yes | — |
| 593 | D12 | — | 3 | 48 | no | — |
| 594 | D12 | — | 3 | 16 | no | — |
| 595 | D12 | — | 3 | 4 | no | — |
| 596 | D12 | — | 3 | 4 | no | — |
| 597 | D12 | — | 3 | 12 | no | — |
| 598 | D12 | — | 3 | 12 | no | — |
| 599 | D12 | — | 6 | 4 | no | — |
| 600 | D12 | — | 6 | 12 | no | — |
| 601 | D12 | C23×D3 | 1 | 2 | yes | — |
| 602 | D12 | C23×D3 | 1 | 12 | yes | — |
| 603 | D12 | C23×D3 | 1 | 4 | yes | — |
| 604 | D12 | C23×D3 | 1 | 2 | yes | — |
| 605 | C4×D3 | — | 3 | 16 | no | — |
| 606 | C4×D3 | — | 3 | 48 | no | — |
| 607 | C4×D3 | — | 3 | 24 | no | — |
| 608 | C4×D3 | — | 3 | 8 | no | — |
| 609 | C4×D3 | — | 3 | 24 | no | — |
| 610 | C4×D3 | — | 3 | 8 | no | — |
| 611 | C4×D3 | — | 3 | 48 | no | — |
| 612 | C4×D3 | — | 3 | 48 | no | — |
| 613 | C4×D3 | — | 6 | 8 | no | — |
| 614 | C4×D3 | — | 6 | 24 | no | — |
| 615 | C4×D3 | C23×D3 | 1 | 24 | yes | — |
| 616 | C4×D3 | C23×D3 | 1 | 24 | yes | — |
| 617 | C4×D3 | C23×D3 | 1 | 8 | yes | — |
| 618 | Dic6 | — | 3 | 4 | no | — |
| 619 | Dic6 | — | 3 | 12 | no | — |
| 620 | Dic6 | — | 3 | 4 | no | — |
| 621 | Dic6 | — | 3 | 12 | no | — |
| 622 | Dic6 | — | 3 | 48 | no | — |
| 623 | Dic6 | — | 3 | 48 | no | — |
| 624 | Dic6 | — | 6 | 4 | no | — |
| 625 | Dic6 | — | 6 | 12 | no | — |
| 626 | Dic6 | C23×D3 | 1 | 6 | yes | — |
| 627 | Dic6 | C23×D3 | 1 | 24 | yes | — |
| 628 | Dic6 | C23×D3 | 1 | 12 | yes | — |
| 629 | Dic6 | C23×D3 | 1 | 6 | yes | — |
| 630 | Dic6 | C23×D3 | 1 | 4 | yes | — |
| 631 | C2×C32 | — | 2 | 6 | no | — |
| 632 | C2×C32 | — | 2 | 1 | no | — |
| 633 | C2×C32 | C26 | 1 | 1 | yes | characteristic |
| 634 | C3⋊D3 | — | 2 | 8 | no | — |
| 635 | C3×D3 | — | 2 | 4 | no | — |
| 636 | C3×D3 | — | 2 | 8 | no | — |
| 637 | #41 | — | 3 | 8 | no | — |
| 638 | #41 | — | 3 | 24 | no | — |
| 639 | #41 | — | 3 | 48 | no | — |
| 640 | #41 | — | 3 | 12 | no | — |
| 641 | #41 | — | 3 | 4 | no | — |
| 642 | #41 | — | 3 | 12 | no | — |
| 643 | #41 | — | 3 | 12 | no | — |
| 644 | #41 | — | 3 | 12 | no | — |
| 645 | #41 | — | 3 | 12 | no | — |
| 646 | #41 | — | 9 | 48 | no | — |
| 647 | #41 | — | 9 | 48 | no | — |
| 648 | #41 | — | 9 | 48 | no | — |
| 649 | #41 | — | 9 | 96 | no | — |
| 650 | #41 | — | 9 | 8 | no | — |
| 651 | #41 | — | 9 | 24 | no | — |
| 652 | #41 | — | 9 | 24 | no | — |
| 653 | #41 | — | 9 | 48 | no | — |
| 654 | #41 | — | 9 | 24 | no | — |
| 655 | #41 | — | 9 | 48 | no | — |
| 656 | #41 | — | 9 | 24 | no | — |
| 657 | #41 | — | 9 | 48 | no | — |
| 658 | #41 | — | 9 | 8 | no | — |
| 659 | #41 | — | 9 | 8 | no | — |
| 660 | #41 | — | 9 | 24 | no | — |
| 661 | #41 | — | 9 | 12 | no | — |
| 662 | #41 | — | 9 | 12 | no | — |
| 663 | #41 | — | 9 | 12 | no | — |
| 664 | #41 | — | 9 | 4 | no | — |
| 665 | #41 | C2×D32 | 1 | 4 | yes | — |
| 666 | #41 | C2×D32 | 1 | 4 | yes | — |
| 667 | C2×Q8 | — | 3 | 16 | no | — |
| 668 | C2×Q8 | — | 3 | 8 | no | — |
| 669 | C2×Q8 | — | 3 | 6 | no | — |
| 670 | C2×Q8 | — | 3 | 3 | no | — |
| 671 | C2×Q8 | — | 3 | 12 | no | — |
| 672 | C2×Q8 | — | 3 | 12 | no | — |
| 673 | C2×Q8 | — | 3 | 6 | no | — |
| 674 | C2×Q8 | — | 9 | 24 | no | — |
| 675 | C2×Q8 | — | 9 | 24 | no | — |
| 676 | C2×Q8 | — | 9 | 48 | no | — |
| 677 | C2×Q8 | — | 9 | 24 | no | — |
| 678 | C2×Q8 | — | 9 | 48 | no | — |
| 679 | C2×Q8 | — | 9 | 24 | no | — |
| 680 | C2×Q8 | — | 9 | 8 | no | — |
| 681 | C2×Q8 | — | 9 | 6 | no | — |
| 682 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 683 | C2×D4 | — | 3 | 6 | no | — |
| 684 | C2×D4 | — | 3 | 12 | no | — |
| 685 | C2×D4 | — | 3 | 24 | no | — |
| 686 | C2×D4 | — | 3 | 1 | no | — |
| 687 | C2×D4 | — | 3 | 6 | no | — |
| 688 | C2×D4 | — | 9 | 8 | no | — |
| 689 | C2×D4 | — | 9 | 24 | no | — |
| 690 | C2×D4 | — | 9 | 24 | no | — |
| 691 | C2×D4 | — | 9 | 48 | no | — |
| 692 | C2×D4 | — | 9 | 8 | no | — |
| 693 | C2×D4 | — | 9 | 16 | no | — |
| 694 | C2×D4 | — | 9 | 48 | no | — |
| 695 | C2×D4 | — | 9 | 12 | no | — |
| 696 | C2×D4 | — | 9 | 24 | no | — |
| 697 | C2×D4 | — | 9 | 6 | no | — |
| 698 | C2×D4 | C2×D32 | 1 | 3 | yes | — |
| 699 | C22×C4 | — | 3 | 6 | no | — |
| 700 | C22×C4 | — | 3 | 6 | no | — |
| 701 | C22×C4 | — | 3 | 12 | no | — |
| 702 | C22×C4 | — | 9 | 24 | no | — |
| 703 | C22×C4 | — | 9 | 48 | no | — |
| 704 | C22×C4 | — | 9 | 24 | no | — |
| 705 | C22×C4 | — | 9 | 12 | no | — |
| 706 | C22×C4 | C2×D32 | 1 | 3 | yes | — |
| 707 | C22×C3 | — | 2 | 6 | no | — |
| 708 | C22×C3 | — | 2 | 1 | no | — |
| 709 | C22×C3 | — | 3 | 8 | no | — |
| 710 | C22×C3 | — | 3 | 4 | no | — |
| 711 | C22×C3 | — | 4 | 3 | no | — |
| 712 | C22×C3 | — | 4 | 3 | no | — |
| 713 | C22×C3 | — | 8 | 3 | no | — |
| 714 | C22×C3 | — | 12 | 12 | no | — |
| 715 | C22×C3 | — | 12 | 2 | no | — |
| 716 | C22×C3 | C24×D3 | 1 | 6 | yes | — |
| 717 | C22×C3 | C24×D3 | 1 | 6 | yes | — |
| 718 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 719 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 720 | C2×D3 | — | 3 | 8 | no | — |
| 721 | C2×D3 | — | 3 | 8 | no | — |
| 722 | C2×D3 | — | 4 | 2 | no | — |
| 723 | C2×D3 | — | 4 | 12 | no | — |
| 724 | C2×D3 | — | 6 | 8 | no | — |
| 725 | C2×D3 | — | 12 | 16 | no | — |
| 726 | C2×D3 | — | 12 | 16 | no | — |
| 727 | C2×D3 | — | 12 | 12 | no | — |
| 728 | C2×D3 | — | 12 | 12 | no | — |
| 729 | C2×D3 | — | 24 | 12 | no | — |
| 730 | C2×D3 | C24×D3 | 1 | 8 | yes | — |
| 731 | C2×D3 | C24×D3 | 1 | 4 | yes | — |
| 732 | C3×C4 | — | 2 | 1 | no | — |
| 733 | C3×C4 | — | 2 | 6 | no | — |
| 734 | C3×C4 | — | 2 | 1 | no | — |
| 735 | C3×C4 | — | 3 | 8 | no | — |
| 736 | C3×C4 | — | 3 | 12 | no | — |
| 737 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 738 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 739 | C3×C4 | C24×D3 | 1 | 6 | yes | — |
| 740 | C3×C4 | C24×D3 | 1 | 6 | yes | — |
| 741 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 742 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 743 | Dic3 | — | 3 | 8 | no | — |
| 744 | Dic3 | — | 3 | 8 | no | — |
| 745 | Dic3 | — | 6 | 8 | no | — |
| 746 | Dic3 | C24×D3 | 1 | 8 | yes | — |
| 747 | Dic3 | C24×D3 | 1 | 12 | yes | — |
| 748 | C32 | 2−1+6 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 749 | C23 | — | 3 | 2 | no | — |
| 750 | C23 | — | 3 | 12 | no | — |
| 751 | C23 | — | 9 | 16 | no | — |
| 752 | C23 | — | 9 | 12 | no | — |
| 753 | C23 | C22×D32 | 1 | 3 | yes | — |
| 754 | Q8 | — | 3 | 24 | no | — |
| 755 | Q8 | — | 3 | 6 | no | — |
| 756 | Q8 | — | 3 | 6 | no | — |
| 757 | Q8 | — | 3 | 12 | no | — |
| 758 | Q8 | — | 3 | 4 | no | — |
| 759 | Q8 | — | 9 | 48 | no | — |
| 760 | Q8 | — | 9 | 12 | no | — |
| 761 | Q8 | — | 9 | 4 | no | — |
| 762 | Q8 | C22×D32 | 1 | 4 | yes | — |
| 763 | D4 | — | 3 | 24 | no | — |
| 764 | D4 | — | 3 | 8 | no | — |
| 765 | D4 | — | 3 | 24 | no | — |
| 766 | D4 | — | 3 | 12 | no | — |
| 767 | D4 | — | 3 | 4 | no | — |
| 768 | D4 | — | 3 | 2 | no | — |
| 769 | D4 | — | 3 | 2 | no | — |
| 770 | D4 | — | 9 | 16 | no | — |
| 771 | D4 | — | 9 | 48 | no | — |
| 772 | D4 | — | 9 | 16 | no | — |
| 773 | D4 | — | 9 | 24 | no | — |
| 774 | D4 | — | 9 | 8 | no | — |
| 775 | D4 | — | 9 | 12 | no | — |
| 776 | D4 | — | 9 | 4 | no | — |
| 777 | D4 | C22×D32 | 1 | 12 | yes | — |
| 778 | C2×C4 | — | 3 | 6 | no | — |
| 779 | C2×C4 | — | 3 | 12 | no | — |
| 780 | C2×C4 | — | 3 | 24 | no | — |
| 781 | C2×C4 | — | 3 | 8 | no | — |
| 782 | C2×C4 | — | 3 | 24 | no | — |
| 783 | C2×C4 | — | 3 | 24 | no | — |
| 784 | C2×C4 | — | 9 | 48 | no | — |
| 785 | C2×C4 | — | 9 | 16 | no | — |
| 786 | C2×C4 | — | 9 | 48 | no | — |
| 787 | C2×C4 | — | 9 | 12 | no | — |
| 788 | C2×C4 | — | 9 | 24 | no | — |
| 789 | C2×C4 | — | 9 | 8 | no | — |
| 790 | C2×C4 | C22×D32 | 1 | 6 | yes | — |
| 791 | C2×C4 | C22×D32 | 1 | 3 | yes | — |
| 792 | C2×C4 | C22×D32 | 1 | 6 | yes | — |
| 793 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 794 | C2×C3 | — | 2 | 1 | no | — |
| 795 | C2×C3 | — | 2 | 6 | no | — |
| 796 | C2×C3 | — | 2 | 6 | no | — |
| 797 | C2×C3 | — | 2 | 1 | no | — |
| 798 | C2×C3 | — | 2 | 1 | no | — |
| 799 | C2×C3 | — | 4 | 6 | no | — |
| 800 | C2×C3 | — | 4 | 1 | no | — |
| 801 | C2×C3 | — | 6 | 8 | no | — |
| 802 | C2×C3 | — | 6 | 4 | no | — |
| 803 | C2×C3 | C25×D3 | 1 | 1 | yes | characteristic |
| 804 | C2×C3 | C25×D3 | 1 | 1 | yes | characteristic |
| 805 | D3 | — | 2 | 4 | no | — |
| 806 | D3 | — | 2 | 8 | no | — |
| 807 | D3 | — | 6 | 8 | no | — |
| 808 | D3 | — | 6 | 8 | no | — |
| 809 | D3 | — | 12 | 8 | no | — |
| 810 | C22 | — | 3 | 4 | no | — |
| 811 | C22 | — | 3 | 8 | no | — |
| 812 | C22 | — | 4 | 3 | no | — |
| 813 | C22 | — | 9 | 8 | no | — |
| 814 | C22 | — | 12 | 2 | no | — |
| 815 | C22 | — | 12 | 12 | no | — |
| 816 | C22 | — | 36 | 12 | no | — |
| 817 | C22 | — | 36 | 16 | no | — |
| 818 | C22 | C23×D32 | 1 | 6 | yes | — |
| 819 | C22 | C23×D32 | 1 | 1 | yes | characteristic |
| 820 | C4 | — | 3 | 8 | no | — |
| 821 | C4 | — | 3 | 12 | no | — |
| 822 | C4 | — | 9 | 8 | no | — |
| 823 | C4 | C23×D32 | 1 | 6 | yes | — |
| 824 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 825 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 826 | C3 | — | 2 | 1 | no | — |
| 827 | C3 | #87571 | 1 | 1 | yes | characteristic, complemented |
| 828 | C3 | #87572 | 1 | 1 | yes | characteristic, complemented |
| 829 | C2 | — | 2 | 1 | no | — |
| 830 | C2 | — | 2 | 6 | no | — |
| 831 | C2 | — | 6 | 8 | no | — |
| 832 | C2 | — | 6 | 4 | no | — |
| 833 | C2 | — | 18 | 8 | no | — |
| 834 | C2 | C24×D32 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C24×D32 |
| commutator, socle, cosocle | C2×C32 | C26 |
| Fitting | C2×C32×#41 | C22 |
| hypercenter | C2×#41 | D32 |
| hypocenter | C32 | 2−1+6 |
| LCS | G ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ C2×#41 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596756 | C2 | semidirect |
| 2. C3×#5964 | C2 | semidirect |
| 3. C2×C3×#1010 | C2 | semidirect |
| 4. #10596698 | C2 | semidirect |
| 5. #10596697 | C2 | semidirect |
| 6. #10596694 | C2 | semidirect |
| 7. D3×#1010 | C2 | semidirect |
| 8. D3×#1007 | C2 | semidirect |
| 9. #10596678 | C2 | semidirect |
| 10. #10596669 | C2 | semidirect |
| 11. C2×#64297 | C2 | semidirect |
| 14. C2×C32×#41 | C22 | semidirect |
| 15. #64367 | C22 | semidirect |
| 16. #64366 | C22 | semidirect |
| 17. #41×C3⋊D3 | C22 | semidirect |
| 18. #64364 | C22 | semidirect |
| 19. #64361 | C22 | semidirect |
| 20. C2×#3828 | C22 | semidirect |
| 21. C3×#1010 | C22 | semidirect |
| 22. C3×#1010 | C22 | semidirect |
| 23. C3×#1010 | C22 | semidirect |
| 24. C3×#1009 | C22 | semidirect |
| 25. C3×D3×#41 | C22 | semidirect |
| 26. C3×#1007 | C22 | semidirect |
| 27. C2×C3×D3×Q8 | C22 | semidirect |
| 28. C3×#1004 | C22 | semidirect |
| 29. C2×C3×#237 | C22 | semidirect |
| 30. C2×C3×#235 | C22 | semidirect |
| 31. C2×C3×#235 | C22 | semidirect |
| 32. C22×C3×Dic6 | C22 | semidirect |
| 33. #64330 | C22 | semidirect |
| 34. C2×#3804 | C22 | semidirect |
| 35. D3×#239 | C22 | semidirect |
| 36. D32×Q8 | C22 | semidirect |
| 37. #64316 | C22 | semidirect |
| 38. #64315 | C22 | semidirect |
| 39. #64314 | C22 | semidirect |
| 40. #64312 | C22 | semidirect |
| 41. D3×#237 | C22 | semidirect |
| 42. #64309 | C22 | semidirect |
| 43. #64308 | C22 | semidirect |
| 44. #64307 | C22 | semidirect |
| 45. #64307 | C22 | semidirect |
| 46. #64306 | C22 | semidirect |
| 47. D3×#235 | C22 | semidirect |
| 48. D3×#235 | C22 | semidirect |
| 49. C2×#3799 | C22 | semidirect |
| 50. C2×#3797 | C22 | semidirect |
| 51. #64298 | C22 | semidirect |
| 52. #64297 | C22 | semidirect |
| 53. #64297 | C22 | semidirect |
| 54. #64297 | C22 | semidirect |
| 55. #64297 | C22 | semidirect |
| 56. #64297 | C22 | semidirect |
| 57. C2×#3796 | C22 | semidirect |
| 58. C2×D3×Dic6 | C22 | semidirect |
| 76. #5964 | D3 | semidirect |
| 79. C2×#1010 | D3 | semidirect |
| 164. C2×C3×#41 | C2×D3 | semidirect |
| 165. C2×C3×#41 | C2×D3 | semidirect |
| 181. #1010 | C2×D3 | semidirect |
| 182. #1010 | C2×D3 | semidirect |
| 183. #1010 | C2×D3 | semidirect |
| 192. #1009 | C2×D3 | semidirect |
| 204. D3×#41 | C2×D3 | semidirect |
| 216. #1007 | C2×D3 | semidirect |
| 225. C2×D3×Q8 | C2×D3 | semidirect |
| 234. #1004 | C2×D3 | semidirect |
| 238. C2×#237 | C2×D3 | semidirect |
| 246. C2×#235 | C2×D3 | semidirect |
| 247. C2×#235 | C2×D3 | semidirect |
| 249. C22×Dic6 | C2×D3 | semidirect |
| 518. C2×#41 | D32 | semidirect |
| 748. C32 | 2−1+6 | semidirect |
| 827. C3 | #87571 | semidirect |
| 828. C3 | #87572 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596756 | 2 |
| C3×#5964 | 2 |
| C2×C3×#1010 | 2 |
| #10596698 | 2 |
| #10596697 | 2 |
| #10596694 | 2 |
| D3×#1010 | 2 |
| D3×#1007 | 2 |
| #10596678 | 2 |
| #10596669 | 2 |
| C2×#64297 | 2 |
| #87572 | 3 |
| #87571 | 3 |