Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1483 conjugacy classes of subgroups.
The subgroup lattice has 829 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596669 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C3×#909 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10594866 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#63827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10592831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#5139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10591017 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10591011 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #83993 | — | 3 | 1 | no | maximal |
| 11 | #78995 | — | 3 | 1 | no | maximal |
| 12 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×C3×Dic6 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #64330 | — | 2 | 2 | no | — |
| 17 | #64308 | C22 | 1 | 2 | yes | — |
| 18 | #64307 | — | 2 | 1 | no | — |
| 19 | #64307 | — | 2 | 1 | no | — |
| 20 | #64306 | — | 2 | 2 | no | — |
| 21 | D3×#235 | — | 2 | 2 | no | — |
| 22 | D3×#235 | — | 2 | 2 | no | — |
| 23 | #64298 | C22 | 1 | 2 | yes | — |
| 24 | #64297 | — | 2 | 1 | no | — |
| 25 | #64297 | — | 2 | 1 | no | — |
| 26 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#3748 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#926 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C3×#909 | — | 2 | 2 | no | — |
| 30 | C3×#909 | C22 | 1 | 4 | yes | complemented |
| 31 | C2×C3×Dic12 | — | 2 | 1 | no | — |
| 32 | C2×C3×#204 | — | 2 | 1 | no | — |
| 33 | #63966 | — | 2 | 2 | no | — |
| 34 | #63871 | — | 2 | 2 | no | — |
| 35 | #63866 | C22 | 1 | 2 | yes | complemented |
| 36 | #63864 | C22 | 1 | 2 | yes | complemented |
| 37 | C2×#3718 | — | 2 | 1 | no | — |
| 38 | #63827 | — | 2 | 2 | no | — |
| 39 | #63827 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×#3715 | — | 2 | 1 | no | — |
| 41 | #63651 | C22 | 1 | 2 | yes | complemented |
| 42 | #63650 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#825 | C22 | 1 | 4 | yes | complemented |
| 44 | #63569 | C22 | 1 | 4 | yes | complemented |
| 45 | #5964 | — | 3 | 1 | no | — |
| 46 | #5964 | — | 3 | 1 | no | — |
| 47 | C2×C3×#137 | — | 3 | 1 | no | — |
| 48 | C2×#951 | — | 3 | 1 | no | — |
| 49 | #5816 | — | 3 | 1 | no | — |
| 50 | C2×#942 | — | 3 | 1 | no | — |
| 51 | C2×#909 | D3 | 1 | 1 | yes | characteristic, complemented |
| 52 | #5526 | — | 3 | 1 | no | — |
| 53 | C3×#421 | — | 3 | 1 | no | — |
| 54 | #5236 | — | 3 | 1 | no | — |
| 55 | #5205 | — | 3 | 4 | no | — |
| 56 | #5202 | — | 3 | 4 | no | — |
| 57 | #5139 | D3 | 1 | 1 | yes | characteristic, complemented |
| 58 | #5132 | — | 3 | 1 | no | — |
| 59 | #5132 | — | 3 | 1 | no | — |
| 60 | #5132 | — | 6 | 1 | no | — |
| 61 | #5005 | — | 3 | 1 | no | — |
| 62 | #4826 | — | 3 | 4 | no | — |
| 63 | #4825 | — | 3 | 4 | no | — |
| 64 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×#638 | D4 | 1 | 2 | yes | — |
| 66 | #3828 | — | 2 | 1 | no | — |
| 67 | #3828 | — | 2 | 1 | no | — |
| 68 | #3828 | — | 2 | 1 | no | — |
| 69 | #3828 | — | 2 | 1 | no | — |
| 70 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×C4×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 72 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×C3×#67 | — | 2 | 1 | no | — |
| 74 | C2×C3×#67 | — | 2 | 1 | no | — |
| 75 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 76 | C3×#235 | — | 2 | 1 | no | — |
| 77 | C3×#235 | — | 2 | 1 | no | — |
| 78 | C3×#235 | — | 2 | 1 | no | — |
| 79 | C3×#235 | — | 2 | 1 | no | — |
| 80 | C3×#235 | D4 | 1 | 2 | yes | — |
| 81 | C3×#235 | D4 | 1 | 2 | yes | — |
| 82 | C3×#235 | C23 | 1 | 2 | yes | — |
| 83 | C3×#235 | C23 | 1 | 2 | yes | — |
| 84 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 87 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 88 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 89 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 90 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 91 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 92 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 93 | C2×C3×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×C3×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 95 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 96 | #3811 | — | 2 | 4 | no | — |
| 97 | D3×#67 | — | 2 | 4 | no | — |
| 98 | D3×#67 | — | 2 | 4 | no | — |
| 99 | #3805 | — | 2 | 4 | no | — |
| 100 | #3804 | — | 2 | 4 | no | — |
| 101 | #3804 | — | 2 | 4 | no | — |
| 102 | #3802 | — | 2 | 2 | no | — |
| 103 | D3×D12 | — | 2 | 2 | no | — |
| 104 | D3×D12 | — | 2 | 2 | no | — |
| 105 | C4×D32 | — | 2 | 4 | no | — |
| 106 | #3799 | — | 2 | 2 | no | — |
| 107 | #3799 | — | 2 | 2 | no | — |
| 108 | #3798 | — | 2 | 4 | no | — |
| 109 | #3797 | — | 2 | 2 | no | — |
| 110 | #3796 | — | 2 | 2 | no | — |
| 111 | #3796 | — | 2 | 2 | no | — |
| 112 | #3795 | — | 2 | 2 | no | — |
| 113 | #3795 | — | 2 | 2 | no | — |
| 114 | D3×Dic6 | — | 2 | 2 | no | — |
| 115 | D3×Dic6 | — | 2 | 2 | no | — |
| 116 | C32×M16 | — | 2 | 1 | no | — |
| 117 | C32×M16 | C23 | 1 | 2 | yes | — |
| 118 | C2×C32×C8 | — | 2 | 1 | no | — |
| 119 | #3748 | — | 2 | 1 | no | — |
| 120 | #3748 | C23 | 1 | 2 | yes | — |
| 121 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 122 | C3×#217 | — | 2 | 1 | no | — |
| 123 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 124 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 125 | C3×Dic12 | — | 2 | 4 | no | — |
| 126 | C3×#204 | — | 2 | 4 | no | — |
| 127 | Dic3⋊Dic3 | — | 2 | 4 | no | — |
| 128 | #3722 | — | 2 | 4 | no | — |
| 129 | #3718 | — | 2 | 4 | no | — |
| 130 | #3715 | — | 2 | 4 | no | — |
| 131 | #3022 | — | 9 | 1 | no | Sylow |
| 132 | C2×C3×#41 | — | 3 | 1 | no | — |
| 133 | C2×C3×#41 | — | 3 | 1 | no | — |
| 134 | C22×C3×Q8 | — | 3 | 1 | no | — |
| 135 | #1010 | — | 3 | 2 | no | — |
| 136 | #1010 | — | 3 | 2 | no | — |
| 137 | #1010 | — | 6 | 1 | no | — |
| 138 | #1010 | — | 6 | 1 | no | — |
| 139 | #1009 | — | 3 | 2 | no | — |
| 140 | #1009 | — | 3 | 2 | no | — |
| 141 | #1009 | — | 6 | 1 | no | — |
| 142 | #1009 | — | 6 | 1 | no | — |
| 143 | D3×#41 | — | 6 | 2 | no | — |
| 144 | D3×#41 | — | 6 | 2 | no | — |
| 145 | D3×#41 | — | 6 | 2 | no | — |
| 146 | D3×#41 | — | 6 | 2 | no | — |
| 147 | #1007 | — | 6 | 1 | no | — |
| 148 | #1007 | — | 6 | 1 | no | — |
| 149 | #1004 | — | 6 | 1 | no | — |
| 150 | #1004 | — | 6 | 1 | no | — |
| 151 | #1004 | — | 6 | 2 | no | — |
| 152 | #1004 | — | 6 | 2 | no | — |
| 153 | C2×#235 | — | 3 | 1 | no | — |
| 154 | C2×#235 | — | 3 | 1 | no | — |
| 155 | C2×#235 | — | 6 | 1 | no | — |
| 156 | C2×#235 | — | 6 | 2 | no | — |
| 157 | C2×#235 | — | 6 | 2 | no | — |
| 158 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 159 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 160 | C22×Dic6 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 161 | C3×#137 | — | 3 | 4 | no | — |
| 162 | C3×#137 | — | 6 | 2 | no | — |
| 163 | C2×C3×Q16 | — | 6 | 1 | no | — |
| 164 | C2×C3×SD16 | — | 6 | 1 | no | — |
| 165 | C2×C3×M16 | — | 2 | 1 | no | — |
| 166 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 168 | C3×#117 | — | 3 | 1 | no | — |
| 169 | #951 | — | 3 | 4 | no | — |
| 170 | #951 | — | 6 | 2 | no | — |
| 171 | #947 | — | 3 | 2 | no | — |
| 172 | #946 | — | 6 | 2 | no | — |
| 173 | #944 | — | 3 | 2 | no | — |
| 174 | C2×#216 | — | 6 | 1 | no | — |
| 175 | C2×#216 | — | 6 | 1 | no | — |
| 176 | #942 | — | 3 | 4 | no | — |
| 177 | #942 | — | 6 | 2 | no | — |
| 178 | C2×#215 | — | 6 | 1 | no | — |
| 179 | C2×#214 | — | 6 | 1 | no | — |
| 180 | #929 | — | 6 | 2 | no | — |
| 181 | #926 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 182 | C2×#208 | — | 3 | 1 | no | — |
| 183 | C2×#208 | — | 3 | 1 | no | — |
| 184 | C2×#208 | — | 6 | 1 | no | — |
| 185 | #909 | — | 2 | 2 | no | — |
| 186 | #909 | C2×D3 | 1 | 4 | yes | complemented |
| 187 | C2×Dic12 | — | 2 | 1 | no | — |
| 188 | C2×#204 | — | 2 | 1 | no | — |
| 189 | #897 | — | 6 | 2 | no | — |
| 190 | #886 | — | 6 | 2 | no | — |
| 191 | #875 | — | 3 | 2 | no | — |
| 192 | #869 | — | 3 | 2 | no | — |
| 193 | C3×#104 | — | 3 | 4 | no | — |
| 194 | #837 | — | 3 | 4 | no | — |
| 195 | #825 | C2×D3 | 1 | 4 | yes | complemented |
| 196 | #824 | — | 3 | 2 | no | — |
| 197 | #824 | — | 3 | 2 | no | — |
| 198 | #824 | — | 6 | 2 | no | — |
| 199 | #823 | — | 3 | 2 | no | — |
| 200 | #823 | — | 3 | 2 | no | — |
| 201 | #823 | — | 6 | 2 | no | — |
| 202 | #805 | — | 3 | 4 | no | — |
| 203 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 205 | C22×C3×D3 | — | 2 | 1 | no | — |
| 206 | C22×C3×D3 | — | 2 | 1 | no | — |
| 207 | C2×D32 | — | 2 | 4 | no | — |
| 208 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 214 | #638 | — | 2 | 2 | no | — |
| 215 | #638 | — | 2 | 2 | no | — |
| 216 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 217 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 218 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 219 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 220 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 221 | #634 | — | 2 | 1 | no | — |
| 222 | #634 | — | 2 | 1 | no | — |
| 223 | C3×#67 | — | 2 | 2 | no | — |
| 224 | C3×#67 | — | 2 | 2 | no | — |
| 225 | C3×#67 | — | 2 | 2 | no | — |
| 226 | C3×#67 | — | 2 | 2 | no | — |
| 227 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 228 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 229 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 230 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 231 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 232 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 233 | C3×D12 | — | 2 | 1 | no | — |
| 234 | C3×D12 | — | 2 | 1 | no | — |
| 235 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 236 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 237 | C3×C4×D3 | — | 2 | 2 | no | — |
| 238 | C3×C4×D3 | — | 2 | 2 | no | — |
| 239 | C3×C4×D3 | — | 2 | 2 | no | — |
| 240 | C3×C4×D3 | — | 2 | 2 | no | — |
| 241 | C3×Dic6 | — | 2 | 1 | no | — |
| 242 | C3×Dic6 | — | 2 | 1 | no | — |
| 243 | C3×Dic6 | — | 2 | 2 | no | — |
| 244 | C3×Dic6 | — | 2 | 2 | no | — |
| 245 | C3×Dic6 | — | 4 | 1 | no | — |
| 246 | C3×Dic6 | — | 4 | 1 | no | — |
| 247 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 248 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 249 | #627 | — | 2 | 4 | no | — |
| 250 | #626 | — | 2 | 4 | no | — |
| 251 | #626 | — | 2 | 4 | no | — |
| 252 | #625 | — | 2 | 4 | no | — |
| 253 | #624 | — | 2 | 4 | no | — |
| 254 | D3×Dic3 | — | 2 | 4 | no | — |
| 255 | D3×Dic3 | — | 2 | 4 | no | — |
| 256 | C32×C8 | — | 2 | 2 | no | — |
| 257 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 258 | #585 | — | 9 | 1 | no | — |
| 259 | C2×#137 | — | 3 | 1 | no | — |
| 260 | C2×#137 | — | 9 | 1 | no | — |
| 261 | #536 | — | 9 | 1 | no | — |
| 262 | #456 | — | 9 | 4 | no | — |
| 263 | #455 | — | 9 | 4 | no | — |
| 264 | #421 | — | 3 | 1 | no | — |
| 265 | #421 | — | 9 | 1 | no | — |
| 266 | #413 | — | 9 | 1 | no | — |
| 267 | C3×#41 | — | 3 | 2 | no | — |
| 268 | C3×#41 | — | 3 | 2 | no | — |
| 269 | C3×#41 | — | 3 | 2 | no | — |
| 270 | C3×#41 | — | 3 | 2 | no | — |
| 271 | C3×#41 | — | 6 | 1 | no | — |
| 272 | C3×#41 | — | 6 | 1 | no | — |
| 273 | C3×#41 | — | 6 | 1 | no | — |
| 274 | C3×#41 | — | 6 | 1 | no | — |
| 275 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 276 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 277 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 278 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 279 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 280 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 281 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 282 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 283 | C2×C3×D4 | — | 3 | 1 | no | — |
| 284 | C2×C3×D4 | — | 3 | 1 | no | — |
| 285 | C2×C3×D4 | — | 6 | 1 | no | — |
| 286 | C2×C3×D4 | — | 6 | 1 | no | — |
| 287 | C22×C3×C4 | — | 2 | 1 | no | — |
| 288 | C22×C3×C4 | — | 6 | 1 | no | — |
| 289 | C22×C3×C4 | — | 6 | 1 | no | — |
| 290 | C22×C3×C4 | — | 6 | 1 | no | — |
| 291 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 292 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 293 | C2×#67 | — | 2 | 1 | no | — |
| 294 | C2×#67 | — | 2 | 1 | no | — |
| 295 | C2×#67 | — | 3 | 2 | no | — |
| 296 | C2×#67 | — | 3 | 2 | no | — |
| 297 | C2×#67 | — | 6 | 2 | no | — |
| 298 | C2×#67 | — | 6 | 4 | no | — |
| 299 | C2×#67 | — | 6 | 4 | no | — |
| 300 | C22×Dic3 | — | 2 | 1 | no | — |
| 301 | #239 | — | 6 | 2 | no | — |
| 302 | #239 | — | 6 | 2 | no | — |
| 303 | #239 | — | 6 | 2 | no | — |
| 304 | #239 | — | 6 | 2 | no | — |
| 305 | D3×Q8 | — | 6 | 2 | no | — |
| 306 | D3×Q8 | — | 6 | 2 | no | — |
| 307 | D3×Q8 | — | 6 | 2 | no | — |
| 308 | D3×Q8 | — | 6 | 2 | no | — |
| 309 | #237 | — | 6 | 2 | no | — |
| 310 | #237 | — | 6 | 2 | no | — |
| 311 | #237 | — | 6 | 2 | no | — |
| 312 | #237 | — | 6 | 2 | no | — |
| 313 | #237 | — | 6 | 4 | no | — |
| 314 | #237 | — | 6 | 4 | no | — |
| 315 | #237 | — | 6 | 4 | no | — |
| 316 | #237 | — | 6 | 4 | no | — |
| 317 | D3×D4 | — | 6 | 2 | no | — |
| 318 | D3×D4 | — | 6 | 2 | no | — |
| 319 | D3×D4 | — | 6 | 2 | no | — |
| 320 | D3×D4 | — | 6 | 2 | no | — |
| 321 | D3×D4 | — | 6 | 4 | no | — |
| 322 | D3×D4 | — | 6 | 4 | no | — |
| 323 | D3×D4 | — | 6 | 4 | no | — |
| 324 | D3×D4 | — | 6 | 4 | no | — |
| 325 | #235 | — | 2 | 1 | no | — |
| 326 | #235 | — | 2 | 1 | no | — |
| 327 | #235 | — | 2 | 1 | no | — |
| 328 | #235 | — | 2 | 1 | no | — |
| 329 | #235 | — | 6 | 4 | no | — |
| 330 | #235 | — | 6 | 4 | no | — |
| 331 | #235 | — | 6 | 4 | no | — |
| 332 | #235 | — | 6 | 4 | no | — |
| 333 | #235 | — | 6 | 1 | no | — |
| 334 | #235 | — | 6 | 1 | no | — |
| 335 | #235 | — | 6 | 1 | no | — |
| 336 | #235 | — | 6 | 1 | no | — |
| 337 | #235 | — | 6 | 1 | no | — |
| 338 | #235 | — | 6 | 1 | no | — |
| 339 | #235 | — | 6 | 1 | no | — |
| 340 | #235 | — | 6 | 1 | no | — |
| 341 | #235 | — | 6 | 2 | no | — |
| 342 | #235 | — | 6 | 2 | no | — |
| 343 | #235 | — | 6 | 2 | no | — |
| 344 | #235 | — | 6 | 2 | no | — |
| 345 | #235 | — | 12 | 1 | no | — |
| 346 | #235 | — | 12 | 1 | no | — |
| 347 | #235 | — | 12 | 1 | no | — |
| 348 | #235 | — | 12 | 1 | no | — |
| 349 | #235 | D12 | 1 | 2 | yes | — |
| 350 | #235 | #67 | 1 | 2 | yes | — |
| 351 | #235 | C22×D3 | 1 | 2 | yes | — |
| 352 | #235 | C22×D3 | 1 | 2 | yes | — |
| 353 | C2×D12 | — | 3 | 1 | no | — |
| 354 | C2×D12 | — | 3 | 1 | no | — |
| 355 | C2×D12 | — | 6 | 1 | no | — |
| 356 | C2×D12 | — | 6 | 2 | no | — |
| 357 | C2×D12 | — | 6 | 2 | no | — |
| 358 | C2×D12 | D12 | 1 | 1 | yes | characteristic |
| 359 | C2×D12 | #67 | 1 | 1 | yes | characteristic |
| 360 | C2×C4×D3 | — | 2 | 1 | no | — |
| 361 | C2×C4×D3 | — | 2 | 1 | no | — |
| 362 | C2×C4×D3 | — | 3 | 2 | no | — |
| 363 | C2×C4×D3 | — | 3 | 2 | no | — |
| 364 | C2×C4×D3 | — | 6 | 2 | no | — |
| 365 | C2×C4×D3 | — | 6 | 4 | no | — |
| 366 | C2×C4×D3 | — | 6 | 4 | no | — |
| 367 | C2×Dic6 | — | 2 | 1 | no | — |
| 368 | C2×Dic6 | — | 2 | 1 | no | — |
| 369 | C2×Dic6 | — | 2 | 1 | no | — |
| 370 | C2×Dic6 | — | 2 | 1 | no | — |
| 371 | C2×Dic6 | — | 2 | 1 | no | — |
| 372 | C2×Dic6 | — | 3 | 1 | no | — |
| 373 | C2×Dic6 | — | 3 | 1 | no | — |
| 374 | C2×Dic6 | — | 6 | 1 | no | — |
| 375 | C2×Dic6 | — | 6 | 2 | no | — |
| 376 | C2×Dic6 | — | 6 | 2 | no | — |
| 377 | C2×Dic6 | D12 | 1 | 1 | yes | characteristic |
| 378 | C2×Dic6 | #67 | 1 | 1 | yes | characteristic |
| 379 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 380 | C3×Q16 | — | 6 | 4 | no | — |
| 381 | C3×SD16 | — | 6 | 4 | no | — |
| 382 | C3×M16 | — | 2 | 1 | no | — |
| 383 | C3×M16 | — | 2 | 1 | no | — |
| 384 | C3×M16 | — | 2 | 2 | no | — |
| 385 | C3×M16 | — | 4 | 1 | no | — |
| 386 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 387 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 388 | C2×C3×C8 | — | 2 | 1 | no | — |
| 389 | C2×C3×C8 | — | 2 | 1 | no | — |
| 390 | C2×C3×C8 | — | 4 | 1 | no | — |
| 391 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 392 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 393 | C3×C42 | — | 3 | 2 | no | — |
| 394 | #217 | — | 2 | 1 | no | — |
| 395 | #216 | — | 6 | 4 | no | — |
| 396 | #216 | — | 6 | 4 | no | — |
| 397 | #215 | — | 6 | 4 | no | — |
| 398 | #214 | — | 6 | 4 | no | — |
| 399 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 400 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 401 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 402 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 403 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 404 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 405 | #208 | — | 3 | 2 | no | — |
| 406 | #208 | — | 3 | 2 | no | — |
| 407 | #208 | — | 6 | 2 | no | — |
| 408 | #208 | — | 6 | 1 | no | — |
| 409 | #208 | — | 6 | 1 | no | — |
| 410 | #208 | — | 12 | 1 | no | — |
| 411 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 412 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 413 | C2×C3⋊C8 | — | 12 | 1 | no | — |
| 414 | Dic12 | — | 2 | 4 | no | — |
| 415 | #204 | — | 2 | 4 | no | — |
| 416 | C22×C32 | — | 4 | 1 | no | — |
| 417 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 418 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 419 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 420 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 421 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 422 | C2×C3×D3 | — | 2 | 2 | no | — |
| 423 | C2×C3×D3 | — | 2 | 2 | no | — |
| 424 | C2×C3×D3 | — | 8 | 1 | no | — |
| 425 | C2×C3×D3 | — | 8 | 1 | no | — |
| 426 | D32 | — | 8 | 4 | no | — |
| 427 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 428 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 429 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 430 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 431 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 432 | C3×Dic3 | — | 2 | 2 | no | — |
| 433 | C3×Dic3 | — | 2 | 2 | no | — |
| 434 | C3×Dic3 | — | 4 | 2 | no | — |
| 435 | C3×Dic3 | — | 4 | 2 | no | — |
| 436 | 2−1+4 | — | 9 | 2 | no | — |
| 437 | 2−1+4 | — | 18 | 1 | no | — |
| 438 | 2−1+4 | — | 18 | 1 | no | — |
| 439 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 440 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 441 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 442 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 443 | C2×#41 | — | 3 | 1 | no | — |
| 444 | C2×#41 | — | 3 | 1 | no | — |
| 445 | C2×#41 | — | 9 | 1 | no | — |
| 446 | C2×#41 | — | 18 | 2 | no | — |
| 447 | C2×#41 | — | 18 | 2 | no | — |
| 448 | C2×#41 | — | 18 | 2 | no | — |
| 449 | C22×Q8 | — | 3 | 1 | no | — |
| 450 | #137 | — | 3 | 4 | no | — |
| 451 | #137 | — | 6 | 2 | no | — |
| 452 | #137 | — | 9 | 4 | no | — |
| 453 | #137 | — | 18 | 2 | no | — |
| 454 | C2×Q16 | — | 6 | 1 | no | — |
| 455 | C2×Q16 | — | 18 | 1 | no | — |
| 456 | C2×SD16 | — | 6 | 1 | no | — |
| 457 | C2×SD16 | — | 18 | 1 | no | — |
| 458 | C2×M16 | — | 9 | 1 | no | — |
| 459 | C2×M16 | D32 | 1 | 1 | yes | characteristic, complemented |
| 460 | C4⋊Q8 | — | 9 | 2 | no | — |
| 461 | #124 | — | 9 | 2 | no | — |
| 462 | #123 | — | 18 | 2 | no | — |
| 463 | C22⋊Q8 | — | 18 | 2 | no | — |
| 464 | #117 | — | 3 | 1 | no | — |
| 465 | #104 | — | 3 | 4 | no | — |
| 466 | #104 | — | 9 | 4 | no | — |
| 467 | #101 | — | 9 | 2 | no | — |
| 468 | #100 | — | 9 | 2 | no | — |
| 469 | C23×C3 | — | 2 | 1 | no | — |
| 470 | C23×C3 | — | 6 | 1 | no | — |
| 471 | C23×C3 | — | 6 | 1 | no | — |
| 472 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 473 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 474 | C22×D3 | — | 2 | 1 | no | — |
| 475 | C22×D3 | — | 2 | 1 | no | — |
| 476 | C22×D3 | — | 3 | 2 | no | — |
| 477 | C22×D3 | — | 3 | 2 | no | — |
| 478 | C22×D3 | — | 6 | 2 | no | — |
| 479 | C22×D3 | — | 6 | 4 | no | — |
| 480 | C22×D3 | — | 6 | 4 | no | — |
| 481 | C3×Q8 | — | 3 | 2 | no | — |
| 482 | C3×Q8 | — | 3 | 2 | no | — |
| 483 | C3×Q8 | — | 6 | 1 | no | — |
| 484 | C3×Q8 | — | 6 | 1 | no | — |
| 485 | C3×Q8 | — | 6 | 2 | no | — |
| 486 | C3×Q8 | — | 6 | 2 | no | — |
| 487 | C3×Q8 | — | 12 | 1 | no | — |
| 488 | C3×Q8 | — | 12 | 1 | no | — |
| 489 | C3×D4 | — | 3 | 2 | no | — |
| 490 | C3×D4 | — | 3 | 2 | no | — |
| 491 | C3×D4 | — | 6 | 2 | no | — |
| 492 | C3×D4 | — | 6 | 2 | no | — |
| 493 | C3×D4 | — | 6 | 2 | no | — |
| 494 | C3×D4 | — | 6 | 2 | no | — |
| 495 | C3×D4 | — | 6 | 1 | no | — |
| 496 | C3×D4 | — | 6 | 1 | no | — |
| 497 | C2×C3×C4 | — | 2 | 1 | no | — |
| 498 | C2×C3×C4 | — | 2 | 1 | no | — |
| 499 | C2×C3×C4 | — | 2 | 1 | no | — |
| 500 | C2×C3×C4 | — | 2 | 1 | no | — |
| 501 | C2×C3×C4 | — | 2 | 1 | no | — |
| 502 | C2×C3×C4 | — | 2 | 1 | no | — |
| 503 | C2×C3×C4 | — | 6 | 1 | no | — |
| 504 | C2×C3×C4 | — | 6 | 1 | no | — |
| 505 | C2×C3×C4 | — | 6 | 2 | no | — |
| 506 | C2×C3×C4 | — | 6 | 2 | no | — |
| 507 | C2×C3×C4 | — | 6 | 2 | no | — |
| 508 | C2×C3×C4 | — | 6 | 2 | no | — |
| 509 | C2×C3×C4 | — | 6 | 2 | no | — |
| 510 | C2×C3×C4 | — | 6 | 2 | no | — |
| 511 | C2×C3×C4 | — | 12 | 1 | no | — |
| 512 | C2×C3×C4 | — | 12 | 1 | no | — |
| 513 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 514 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 515 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 516 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 517 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 518 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 519 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 520 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 521 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 522 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 523 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 524 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 525 | #67 | — | 2 | 2 | no | — |
| 526 | #67 | — | 2 | 2 | no | — |
| 527 | #67 | — | 2 | 2 | no | — |
| 528 | #67 | — | 2 | 2 | no | — |
| 529 | #67 | — | 6 | 4 | no | — |
| 530 | #67 | — | 6 | 4 | no | — |
| 531 | #67 | — | 6 | 4 | no | — |
| 532 | #67 | — | 6 | 4 | no | — |
| 533 | #67 | — | 6 | 2 | no | — |
| 534 | #67 | — | 6 | 2 | no | — |
| 535 | #67 | — | 6 | 2 | no | — |
| 536 | #67 | — | 6 | 2 | no | — |
| 537 | #67 | — | 12 | 2 | no | — |
| 538 | #67 | — | 12 | 2 | no | — |
| 539 | C2×Dic3 | — | 2 | 1 | no | — |
| 540 | C2×Dic3 | — | 2 | 1 | no | — |
| 541 | C2×Dic3 | — | 2 | 2 | no | — |
| 542 | C2×Dic3 | — | 2 | 2 | no | — |
| 543 | C2×Dic3 | — | 3 | 2 | no | — |
| 544 | C2×Dic3 | — | 3 | 2 | no | — |
| 545 | C2×Dic3 | — | 4 | 1 | no | — |
| 546 | C2×Dic3 | — | 4 | 1 | no | — |
| 547 | C2×Dic3 | — | 6 | 2 | no | — |
| 548 | C2×Dic3 | — | 6 | 4 | no | — |
| 549 | C2×Dic3 | — | 6 | 4 | no | — |
| 550 | D12 | — | 2 | 1 | no | — |
| 551 | D12 | — | 2 | 1 | no | — |
| 552 | D12 | — | 6 | 4 | no | — |
| 553 | D12 | — | 6 | 4 | no | — |
| 554 | D12 | — | 6 | 1 | no | — |
| 555 | D12 | — | 6 | 1 | no | — |
| 556 | D12 | — | 6 | 1 | no | — |
| 557 | D12 | — | 6 | 1 | no | — |
| 558 | D12 | — | 12 | 1 | no | — |
| 559 | D12 | — | 12 | 1 | no | — |
| 560 | D12 | C2×D12 | 1 | 2 | yes | — |
| 561 | D12 | C2×#67 | 1 | 2 | yes | — |
| 562 | C4×D3 | — | 2 | 2 | no | — |
| 563 | C4×D3 | — | 2 | 2 | no | — |
| 564 | C4×D3 | — | 2 | 2 | no | — |
| 565 | C4×D3 | — | 2 | 2 | no | — |
| 566 | C4×D3 | — | 6 | 4 | no | — |
| 567 | C4×D3 | — | 6 | 4 | no | — |
| 568 | C4×D3 | — | 6 | 4 | no | — |
| 569 | C4×D3 | — | 6 | 4 | no | — |
| 570 | C4×D3 | — | 6 | 2 | no | — |
| 571 | C4×D3 | — | 6 | 2 | no | — |
| 572 | C4×D3 | — | 6 | 2 | no | — |
| 573 | C4×D3 | — | 6 | 2 | no | — |
| 574 | C4×D3 | — | 12 | 2 | no | — |
| 575 | C4×D3 | — | 12 | 2 | no | — |
| 576 | Dic6 | — | 2 | 1 | no | — |
| 577 | Dic6 | — | 2 | 1 | no | — |
| 578 | Dic6 | — | 2 | 2 | no | — |
| 579 | Dic6 | — | 2 | 2 | no | — |
| 580 | Dic6 | — | 4 | 1 | no | — |
| 581 | Dic6 | — | 4 | 1 | no | — |
| 582 | Dic6 | — | 6 | 4 | no | — |
| 583 | Dic6 | — | 6 | 4 | no | — |
| 584 | Dic6 | — | 6 | 1 | no | — |
| 585 | Dic6 | — | 6 | 1 | no | — |
| 586 | Dic6 | — | 6 | 1 | no | — |
| 587 | Dic6 | — | 6 | 1 | no | — |
| 588 | Dic6 | — | 12 | 1 | no | — |
| 589 | Dic6 | — | 12 | 1 | no | — |
| 590 | Dic6 | C2×D12 | 1 | 2 | yes | — |
| 591 | Dic6 | C2×#67 | 1 | 2 | yes | — |
| 592 | C3×C8 | — | 2 | 2 | no | — |
| 593 | C3×C8 | — | 2 | 2 | no | — |
| 594 | C3×C8 | — | 4 | 2 | no | — |
| 595 | C3⋊C8 | — | 6 | 2 | no | — |
| 596 | C3⋊C8 | — | 6 | 2 | no | — |
| 597 | C3⋊C8 | — | 12 | 2 | no | — |
| 598 | C2×C32 | — | 2 | 1 | no | — |
| 599 | C2×C32 | — | 2 | 1 | no | — |
| 600 | C2×C32 | — | 2 | 1 | no | — |
| 601 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 602 | C3⋊D3 | — | 4 | 2 | no | — |
| 603 | C3×D3 | — | 4 | 2 | no | — |
| 604 | C3×D3 | — | 4 | 2 | no | — |
| 605 | #41 | — | 3 | 2 | no | — |
| 606 | #41 | — | 3 | 2 | no | — |
| 607 | #41 | — | 3 | 2 | no | — |
| 608 | #41 | — | 3 | 2 | no | — |
| 609 | #41 | — | 6 | 1 | no | — |
| 610 | #41 | — | 6 | 1 | no | — |
| 611 | #41 | — | 6 | 1 | no | — |
| 612 | #41 | — | 6 | 1 | no | — |
| 613 | #41 | — | 18 | 4 | no | — |
| 614 | #41 | — | 18 | 2 | no | — |
| 615 | #41 | — | 18 | 2 | no | — |
| 616 | #41 | — | 18 | 4 | no | — |
| 617 | #41 | — | 18 | 4 | no | — |
| 618 | #41 | — | 18 | 2 | no | — |
| 619 | #41 | — | 18 | 2 | no | — |
| 620 | #41 | — | 18 | 4 | no | — |
| 621 | #41 | — | 18 | 2 | no | — |
| 622 | #41 | — | 18 | 2 | no | — |
| 623 | #41 | — | 18 | 1 | no | — |
| 624 | #41 | — | 18 | 1 | no | — |
| 625 | #41 | — | 18 | 1 | no | — |
| 626 | #41 | — | 18 | 1 | no | — |
| 627 | C2×Q8 | — | 3 | 2 | no | — |
| 628 | C2×Q8 | — | 3 | 1 | no | — |
| 629 | C2×Q8 | — | 3 | 1 | no | — |
| 630 | C2×Q8 | — | 6 | 1 | no | — |
| 631 | C2×Q8 | — | 6 | 1 | no | — |
| 632 | C2×Q8 | — | 6 | 1 | no | — |
| 633 | C2×Q8 | — | 6 | 1 | no | — |
| 634 | C2×Q8 | — | 6 | 1 | no | — |
| 635 | C2×Q8 | — | 9 | 1 | no | — |
| 636 | C2×Q8 | — | 18 | 2 | no | — |
| 637 | C2×Q8 | — | 18 | 2 | no | — |
| 638 | C2×Q8 | — | 18 | 2 | no | — |
| 639 | C2×D4 | — | 3 | 1 | no | — |
| 640 | C2×D4 | — | 3 | 1 | no | — |
| 641 | C2×D4 | — | 6 | 1 | no | — |
| 642 | C2×D4 | — | 6 | 1 | no | — |
| 643 | C2×D4 | — | 9 | 2 | no | — |
| 644 | C2×D4 | — | 9 | 1 | no | — |
| 645 | C2×D4 | — | 18 | 2 | no | — |
| 646 | C2×D4 | — | 18 | 2 | no | — |
| 647 | C2×D4 | — | 18 | 4 | no | — |
| 648 | C2×D4 | — | 18 | 2 | no | — |
| 649 | C2×D4 | — | 18 | 4 | no | — |
| 650 | C2×D4 | — | 18 | 4 | no | — |
| 651 | C22×C4 | — | 6 | 1 | no | — |
| 652 | C22×C4 | — | 6 | 1 | no | — |
| 653 | C22×C4 | — | 6 | 1 | no | — |
| 654 | C22×C4 | — | 9 | 2 | no | — |
| 655 | C22×C4 | — | 18 | 4 | no | — |
| 656 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 657 | Q16 | — | 6 | 4 | no | — |
| 658 | Q16 | — | 18 | 4 | no | — |
| 659 | SD16 | — | 6 | 4 | no | — |
| 660 | SD16 | — | 18 | 4 | no | — |
| 661 | M16 | — | 2 | 1 | no | — |
| 662 | M16 | — | 9 | 2 | no | — |
| 663 | M16 | — | 18 | 1 | no | — |
| 664 | M16 | C2×D32 | 1 | 2 | yes | — |
| 665 | C2×C8 | — | 2 | 1 | no | — |
| 666 | C2×C8 | — | 18 | 1 | no | — |
| 667 | C4⋊C4 | — | 6 | 1 | no | — |
| 668 | C4⋊C4 | — | 18 | 4 | no | — |
| 669 | C22⋊C4 | — | 6 | 1 | no | — |
| 670 | C22⋊C4 | — | 18 | 4 | no | — |
| 671 | C42 | — | 3 | 2 | no | — |
| 672 | C22×C3 | — | 2 | 1 | no | — |
| 673 | C22×C3 | — | 2 | 1 | no | — |
| 674 | C22×C3 | — | 2 | 1 | no | — |
| 675 | C22×C3 | — | 4 | 1 | no | — |
| 676 | C22×C3 | — | 4 | 1 | no | — |
| 677 | C22×C3 | — | 6 | 2 | no | — |
| 678 | C22×C3 | — | 6 | 2 | no | — |
| 679 | C22×C3 | — | 8 | 1 | no | — |
| 680 | C22×C3 | — | 24 | 1 | no | — |
| 681 | C22×C3 | — | 24 | 1 | no | — |
| 682 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 683 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 684 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 685 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 686 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 687 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 688 | C2×D3 | — | 2 | 2 | no | — |
| 689 | C2×D3 | — | 2 | 2 | no | — |
| 690 | C2×D3 | — | 6 | 2 | no | — |
| 691 | C2×D3 | — | 6 | 2 | no | — |
| 692 | C2×D3 | — | 8 | 1 | no | — |
| 693 | C2×D3 | — | 8 | 1 | no | — |
| 694 | C2×D3 | — | 12 | 2 | no | — |
| 695 | C2×D3 | — | 12 | 2 | no | — |
| 696 | C2×D3 | — | 12 | 2 | no | — |
| 697 | C2×D3 | — | 24 | 2 | no | — |
| 698 | C2×D3 | — | 24 | 4 | no | — |
| 699 | C2×D3 | — | 24 | 4 | no | — |
| 700 | C3×C4 | — | 2 | 1 | no | — |
| 701 | C3×C4 | — | 2 | 1 | no | — |
| 702 | C3×C4 | — | 2 | 1 | no | — |
| 703 | C3×C4 | — | 2 | 1 | no | — |
| 704 | C3×C4 | — | 6 | 2 | no | — |
| 705 | C3×C4 | — | 6 | 2 | no | — |
| 706 | C3×C4 | — | 12 | 2 | no | — |
| 707 | C3×C4 | — | 12 | 2 | no | — |
| 708 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 709 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 710 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 711 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 712 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 713 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 714 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 715 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 716 | Dic3 | — | 2 | 2 | no | — |
| 717 | Dic3 | — | 2 | 2 | no | — |
| 718 | Dic3 | — | 4 | 2 | no | — |
| 719 | Dic3 | — | 4 | 2 | no | — |
| 720 | Dic3 | — | 6 | 2 | no | — |
| 721 | Dic3 | — | 6 | 2 | no | — |
| 722 | Dic3 | — | 12 | 2 | no | — |
| 723 | C32 | #3022 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 724 | C23 | — | 6 | 1 | no | — |
| 725 | C23 | — | 6 | 1 | no | — |
| 726 | C23 | — | 9 | 2 | no | — |
| 727 | C23 | — | 18 | 4 | no | — |
| 728 | C23 | #3802 | 1 | 1 | yes | characteristic |
| 729 | Q8 | — | 3 | 2 | no | — |
| 730 | Q8 | — | 3 | 2 | no | — |
| 731 | Q8 | — | 6 | 1 | no | — |
| 732 | Q8 | — | 6 | 1 | no | — |
| 733 | Q8 | — | 6 | 2 | no | — |
| 734 | Q8 | — | 6 | 2 | no | — |
| 735 | Q8 | — | 12 | 1 | no | — |
| 736 | Q8 | — | 12 | 1 | no | — |
| 737 | Q8 | — | 18 | 4 | no | — |
| 738 | Q8 | — | 18 | 1 | no | — |
| 739 | Q8 | — | 18 | 1 | no | — |
| 740 | D4 | — | 3 | 2 | no | — |
| 741 | D4 | — | 3 | 2 | no | — |
| 742 | D4 | — | 6 | 2 | no | — |
| 743 | D4 | — | 6 | 2 | no | — |
| 744 | D4 | — | 6 | 2 | no | — |
| 745 | D4 | — | 6 | 2 | no | — |
| 746 | D4 | — | 6 | 1 | no | — |
| 747 | D4 | — | 6 | 1 | no | — |
| 748 | D4 | — | 18 | 4 | no | — |
| 749 | D4 | — | 18 | 4 | no | — |
| 750 | D4 | — | 18 | 4 | no | — |
| 751 | D4 | — | 18 | 2 | no | — |
| 752 | D4 | — | 18 | 2 | no | — |
| 753 | D4 | — | 18 | 1 | no | — |
| 754 | D4 | — | 18 | 1 | no | — |
| 755 | C2×C4 | — | 6 | 1 | no | — |
| 756 | C2×C4 | — | 6 | 1 | no | — |
| 757 | C2×C4 | — | 6 | 2 | no | — |
| 758 | C2×C4 | — | 6 | 2 | no | — |
| 759 | C2×C4 | — | 6 | 2 | no | — |
| 760 | C2×C4 | — | 6 | 2 | no | — |
| 761 | C2×C4 | — | 6 | 2 | no | — |
| 762 | C2×C4 | — | 6 | 2 | no | — |
| 763 | C2×C4 | — | 9 | 2 | no | — |
| 764 | C2×C4 | — | 12 | 1 | no | — |
| 765 | C2×C4 | — | 12 | 1 | no | — |
| 766 | C2×C4 | — | 18 | 4 | no | — |
| 767 | C2×C4 | — | 18 | 4 | no | — |
| 768 | C2×C4 | — | 18 | 4 | no | — |
| 769 | C2×C4 | — | 18 | 2 | no | — |
| 770 | C2×C4 | — | 18 | 2 | no | — |
| 771 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 772 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 773 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 774 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 775 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 776 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 777 | C8 | — | 2 | 2 | no | — |
| 778 | C8 | — | 18 | 2 | no | — |
| 779 | C2×C3 | — | 2 | 1 | no | — |
| 780 | C2×C3 | — | 2 | 1 | no | — |
| 781 | C2×C3 | — | 2 | 1 | no | — |
| 782 | C2×C3 | — | 2 | 1 | no | — |
| 783 | C2×C3 | — | 2 | 1 | no | — |
| 784 | C2×C3 | — | 2 | 1 | no | — |
| 785 | C2×C3 | — | 2 | 1 | no | — |
| 786 | C2×C3 | — | 4 | 1 | no | — |
| 787 | C2×C3 | — | 4 | 1 | no | — |
| 788 | C2×C3 | — | 4 | 1 | no | — |
| 789 | C2×C3 | — | 12 | 2 | no | — |
| 790 | C2×C3 | — | 12 | 2 | no | — |
| 791 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 792 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 793 | D3 | — | 4 | 2 | no | — |
| 794 | D3 | — | 4 | 2 | no | — |
| 795 | D3 | — | 12 | 2 | no | — |
| 796 | D3 | — | 12 | 2 | no | — |
| 797 | D3 | — | 24 | 2 | no | — |
| 798 | C22 | — | 4 | 1 | no | — |
| 799 | C22 | — | 6 | 2 | no | — |
| 800 | C22 | — | 6 | 2 | no | — |
| 801 | C22 | — | 18 | 2 | no | — |
| 802 | C22 | — | 24 | 1 | no | — |
| 803 | C22 | — | 24 | 1 | no | — |
| 804 | C22 | — | 36 | 2 | no | — |
| 805 | C22 | — | 72 | 4 | no | — |
| 806 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 807 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 808 | C22 | C2×#3802 | 1 | 1 | yes | characteristic |
| 809 | C4 | — | 6 | 2 | no | — |
| 810 | C4 | — | 6 | 2 | no | — |
| 811 | C4 | — | 12 | 2 | no | — |
| 812 | C4 | — | 12 | 2 | no | — |
| 813 | C4 | — | 18 | 2 | no | — |
| 814 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 815 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 816 | C4 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 817 | C4 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 818 | C3 | — | 2 | 1 | no | — |
| 819 | C3 | #78995 | 1 | 1 | yes | characteristic, complemented |
| 820 | C3 | #83993 | 1 | 1 | yes | characteristic, complemented |
| 821 | C2 | — | 2 | 1 | no | — |
| 822 | C2 | — | 2 | 1 | no | — |
| 823 | C2 | — | 2 | 1 | no | — |
| 824 | C2 | — | 12 | 2 | no | — |
| 825 | C2 | — | 12 | 2 | no | — |
| 826 | C2 | — | 36 | 2 | no | — |
| 827 | C2 | C2×#63922 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C3×#909 | C2 | semidirect |
| 3. #10594866 | C2 | semidirect |
| 4. C2×#63827 | C2 | semidirect |
| 5. #10592831 | C2 | semidirect |
| 6. C3×#5139 | C2 | semidirect |
| 7. #10591111 | C2 | semidirect |
| 8. #10591017 | C2 | semidirect |
| 9. #10591011 | C2 | semidirect |
| 15. C22×C3×Dic6 | C22 | semidirect |
| 26. C2×C32×M16 | C22 | semidirect |
| 27. C2×#3748 | C22 | semidirect |
| 28. C3×#926 | C22 | semidirect |
| 30. C3×#909 | C22 | semidirect |
| 35. #63866 | C22 | semidirect |
| 36. #63864 | C22 | semidirect |
| 39. #63827 | C22 | semidirect |
| 41. #63651 | C22 | semidirect |
| 42. #63650 | C22 | semidirect |
| 43. C3×#825 | C22 | semidirect |
| 44. #63569 | C22 | semidirect |
| 51. C2×#909 | D3 | semidirect |
| 57. #5139 | D3 | semidirect |
| 160. C22×Dic6 | C2×D3 | semidirect |
| 166. C2×C3×M16 | C2×D3 | semidirect |
| 167. C2×C3×M16 | C2×D3 | semidirect |
| 181. #926 | C2×D3 | semidirect |
| 186. #909 | C2×D3 | semidirect |
| 195. #825 | C2×D3 | semidirect |
| 459. C2×M16 | D32 | semidirect |
| 723. C32 | #3022 | semidirect |
| 819. C3 | #78995 | semidirect |
| 820. C3 | #83993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596669 | 2 |
| C2×C3×#909 | 2 |
| #10594866 | 2 |
| C2×#63827 | 2 |
| #10592831 | 2 |
| C3×#5139 | 2 |
| #10591111 | 2 |
| #10591017 | 2 |
| #10591011 | 2 |
| #83993 | 3 |
| #78995 | 3 |