Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1523 conjugacy classes of subgroups.
The subgroup lattice has 933 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5748 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595029 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10594786 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10592831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C3×#825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#63569 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10591019 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10591017 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10591013 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10591011 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #84004 | — | 3 | 1 | no | maximal |
| 13 | #78986 | — | 3 | 1 | no | maximal |
| 14 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #64330 | — | 2 | 2 | no | — |
| 19 | #64308 | C22 | 1 | 2 | yes | — |
| 20 | #64307 | — | 2 | 1 | no | — |
| 21 | #64307 | — | 2 | 1 | no | — |
| 22 | #64306 | — | 2 | 2 | no | — |
| 23 | D3×#235 | — | 2 | 2 | no | — |
| 24 | D3×#235 | — | 2 | 2 | no | — |
| 25 | #64298 | C22 | 1 | 2 | yes | — |
| 26 | #64297 | — | 2 | 1 | no | — |
| 27 | #64297 | — | 2 | 1 | no | — |
| 28 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×#3748 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×C3×C4×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#909 | — | 2 | 1 | no | — |
| 32 | C3×#909 | C22 | 1 | 2 | yes | complemented |
| 33 | C3×#908 | — | 2 | 1 | no | — |
| 34 | C3×#908 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#904 | — | 2 | 2 | no | — |
| 36 | #63978 | — | 2 | 2 | no | — |
| 37 | #63911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C4×#626 | — | 2 | 2 | no | — |
| 39 | #63866 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #63864 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #63860 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #63827 | — | 2 | 1 | no | — |
| 43 | #63827 | C22 | 1 | 2 | yes | complemented |
| 44 | #63823 | — | 2 | 1 | no | — |
| 45 | #63823 | C22 | 1 | 2 | yes | complemented |
| 46 | #63822 | — | 2 | 2 | no | — |
| 47 | #63651 | C22 | 1 | 2 | yes | complemented |
| 48 | #63650 | C22 | 1 | 2 | yes | complemented |
| 49 | C3×#825 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#825 | C22 | 1 | 2 | yes | complemented |
| 51 | #63569 | C22 | 1 | 2 | yes | complemented |
| 52 | #63569 | C22 | 1 | 2 | yes | complemented |
| 53 | #5964 | — | 3 | 1 | no | — |
| 54 | #5964 | — | 3 | 1 | no | — |
| 55 | C3×#575 | — | 3 | 1 | no | — |
| 56 | #5832 | — | 3 | 1 | no | — |
| 57 | #5822 | — | 3 | 1 | no | — |
| 58 | #5822 | — | 3 | 1 | no | — |
| 59 | #5748 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | #5477 | — | 3 | 1 | no | — |
| 61 | C2×C3×#104 | — | 3 | 1 | no | — |
| 62 | C2×#837 | — | 3 | 1 | no | — |
| 63 | #5205 | — | 3 | 2 | no | — |
| 64 | #5202 | — | 3 | 2 | no | — |
| 65 | #5201 | — | 3 | 2 | no | — |
| 66 | #5198 | — | 3 | 2 | no | — |
| 67 | C2×#825 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #5132 | — | 3 | 1 | no | — |
| 69 | #5132 | — | 3 | 1 | no | — |
| 70 | #5132 | — | 6 | 1 | no | — |
| 71 | C2×#805 | — | 3 | 1 | no | — |
| 72 | #4827 | — | 3 | 2 | no | — |
| 73 | #4826 | — | 3 | 2 | no | — |
| 74 | #4825 | — | 3 | 2 | no | — |
| 75 | #4822 | — | 3 | 2 | no | — |
| 76 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×#638 | D4 | 1 | 2 | yes | — |
| 78 | #3828 | — | 2 | 1 | no | — |
| 79 | #3828 | — | 2 | 1 | no | — |
| 80 | #3828 | — | 2 | 1 | no | — |
| 81 | #3828 | — | 2 | 1 | no | — |
| 82 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 84 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×#67 | — | 2 | 1 | no | — |
| 86 | C2×C3×#67 | — | 2 | 1 | no | — |
| 87 | C2×C3×#67 | — | 2 | 1 | no | — |
| 88 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 89 | C3×#235 | — | 2 | 1 | no | — |
| 90 | C3×#235 | — | 2 | 1 | no | — |
| 91 | C3×#235 | — | 2 | 1 | no | — |
| 92 | C3×#235 | — | 2 | 1 | no | — |
| 93 | C3×#235 | — | 2 | 1 | no | — |
| 94 | C3×#235 | — | 2 | 1 | no | — |
| 95 | C3×#235 | — | 2 | 1 | no | — |
| 96 | C3×#235 | — | 2 | 1 | no | — |
| 97 | C3×#235 | D4 | 1 | 2 | yes | complemented |
| 98 | C3×#235 | D4 | 1 | 2 | yes | complemented |
| 99 | C3×#235 | C23 | 1 | 2 | yes | — |
| 100 | C3×#235 | C23 | 1 | 2 | yes | — |
| 101 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic, complemented |
| 102 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic, complemented |
| 103 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 105 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 106 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 107 | C2×C3×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 108 | C2×C3×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 109 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 110 | #3811 | — | 2 | 4 | no | — |
| 111 | D3×#67 | — | 2 | 4 | no | — |
| 112 | D3×#67 | — | 2 | 4 | no | — |
| 113 | C2×#626 | — | 2 | 2 | no | — |
| 114 | #3805 | — | 2 | 4 | no | — |
| 115 | #3804 | — | 2 | 4 | no | — |
| 116 | #3804 | — | 2 | 4 | no | — |
| 117 | #3802 | — | 2 | 2 | no | — |
| 118 | D3×D12 | — | 2 | 2 | no | — |
| 119 | D3×D12 | — | 2 | 2 | no | — |
| 120 | C4×D32 | — | 2 | 4 | no | — |
| 121 | #3799 | — | 2 | 2 | no | — |
| 122 | #3799 | — | 2 | 2 | no | — |
| 123 | #3798 | — | 2 | 4 | no | — |
| 124 | #3797 | — | 2 | 2 | no | — |
| 125 | #3796 | — | 2 | 2 | no | — |
| 126 | #3796 | — | 2 | 2 | no | — |
| 127 | #3795 | — | 2 | 2 | no | — |
| 128 | #3795 | — | 2 | 2 | no | — |
| 129 | D3×Dic6 | — | 2 | 2 | no | — |
| 130 | D3×Dic6 | — | 2 | 2 | no | — |
| 131 | C32×M16 | — | 2 | 1 | no | — |
| 132 | C32×M16 | C23 | 1 | 2 | yes | — |
| 133 | C2×C32×C8 | — | 2 | 1 | no | — |
| 134 | #3748 | — | 2 | 1 | no | — |
| 135 | #3748 | C23 | 1 | 2 | yes | — |
| 136 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 137 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 138 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 139 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 140 | C3×Dic12 | — | 2 | 2 | no | — |
| 141 | C3×D24 | — | 2 | 2 | no | — |
| 142 | C3×#204 | — | 2 | 2 | no | — |
| 143 | C3×#204 | — | 2 | 2 | no | — |
| 144 | Dic3⋊Dic3 | — | 2 | 2 | no | — |
| 145 | #3722 | — | 2 | 2 | no | — |
| 146 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 147 | #3718 | — | 2 | 2 | no | — |
| 148 | #3715 | — | 2 | 2 | no | — |
| 149 | #3715 | — | 2 | 2 | no | — |
| 150 | #3713 | — | 2 | 2 | no | — |
| 151 | #3018 | — | 9 | 1 | no | Sylow |
| 152 | C2×C3×#41 | — | 3 | 1 | no | — |
| 153 | C2×C3×#41 | — | 3 | 1 | no | — |
| 154 | C2×C3×#41 | — | 3 | 1 | no | — |
| 155 | #1010 | — | 3 | 2 | no | — |
| 156 | #1010 | — | 3 | 2 | no | — |
| 157 | #1010 | — | 6 | 1 | no | — |
| 158 | #1010 | — | 6 | 1 | no | — |
| 159 | #1009 | — | 3 | 2 | no | — |
| 160 | #1009 | — | 3 | 2 | no | — |
| 161 | #1009 | — | 6 | 1 | no | — |
| 162 | #1009 | — | 6 | 1 | no | — |
| 163 | D3×#41 | — | 6 | 2 | no | — |
| 164 | D3×#41 | — | 6 | 2 | no | — |
| 165 | D3×#41 | — | 6 | 2 | no | — |
| 166 | D3×#41 | — | 6 | 2 | no | — |
| 167 | #1007 | — | 6 | 1 | no | — |
| 168 | #1007 | — | 6 | 1 | no | — |
| 169 | #1004 | — | 6 | 1 | no | — |
| 170 | #1004 | — | 6 | 1 | no | — |
| 171 | #1004 | — | 6 | 2 | no | — |
| 172 | #1004 | — | 6 | 2 | no | — |
| 173 | C2×#235 | — | 3 | 1 | no | — |
| 174 | C2×#235 | — | 3 | 1 | no | — |
| 175 | C2×#235 | — | 6 | 1 | no | — |
| 176 | C2×#235 | — | 6 | 2 | no | — |
| 177 | C2×#235 | — | 6 | 2 | no | — |
| 178 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 179 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 180 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 181 | C3×#137 | — | 3 | 2 | no | — |
| 182 | C3×#137 | — | 6 | 1 | no | — |
| 183 | C3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 184 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 185 | C3×#135 | — | 6 | 2 | no | — |
| 186 | C2×C3×M16 | — | 2 | 1 | no | — |
| 187 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 188 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 189 | C2×C3×C42 | — | 3 | 1 | no | — |
| 190 | #951 | — | 3 | 2 | no | — |
| 191 | #951 | — | 6 | 1 | no | — |
| 192 | #950 | — | 6 | 2 | no | — |
| 193 | #950 | — | 6 | 2 | no | — |
| 194 | #949 | — | 3 | 2 | no | — |
| 195 | #949 | — | 6 | 1 | no | — |
| 196 | #947 | — | 3 | 1 | no | — |
| 197 | #944 | — | 3 | 1 | no | — |
| 198 | #942 | — | 3 | 2 | no | — |
| 199 | #942 | — | 6 | 1 | no | — |
| 200 | #940 | — | 3 | 1 | no | — |
| 201 | #939 | — | 6 | 2 | no | — |
| 202 | #936 | — | 3 | 1 | no | — |
| 203 | #932 | — | 3 | 2 | no | — |
| 204 | #932 | — | 6 | 1 | no | — |
| 205 | #930 | — | 6 | 2 | no | — |
| 206 | C4×#67 | — | 6 | 2 | no | — |
| 207 | C2×C4×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 208 | C2×#208 | — | 3 | 1 | no | — |
| 209 | C2×#208 | — | 3 | 1 | no | — |
| 210 | C2×#208 | — | 6 | 1 | no | — |
| 211 | #909 | — | 2 | 1 | no | — |
| 212 | #909 | C2×D3 | 1 | 2 | yes | complemented |
| 213 | #908 | — | 2 | 1 | no | — |
| 214 | #908 | C2×D3 | 1 | 2 | yes | complemented |
| 215 | #904 | — | 2 | 2 | no | — |
| 216 | #875 | — | 3 | 1 | no | — |
| 217 | #875 | — | 3 | 1 | no | — |
| 218 | #874 | — | 3 | 1 | no | — |
| 219 | C4×D12 | — | 6 | 2 | no | — |
| 220 | #869 | — | 3 | 1 | no | — |
| 221 | C3×#104 | — | 3 | 2 | no | — |
| 222 | C3×#104 | — | 3 | 2 | no | — |
| 223 | #837 | — | 3 | 2 | no | — |
| 224 | #837 | — | 3 | 2 | no | — |
| 225 | #825 | C2×D3 | 1 | 2 | yes | complemented |
| 226 | #825 | C2×D3 | 1 | 2 | yes | complemented |
| 227 | #824 | — | 3 | 2 | no | — |
| 228 | #824 | — | 3 | 2 | no | — |
| 229 | #824 | — | 6 | 2 | no | — |
| 230 | #823 | — | 3 | 2 | no | — |
| 231 | #823 | — | 3 | 2 | no | — |
| 232 | #823 | — | 6 | 2 | no | — |
| 233 | #805 | — | 3 | 2 | no | — |
| 234 | #805 | — | 3 | 2 | no | — |
| 235 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 237 | C22×C3×D3 | — | 2 | 1 | no | — |
| 238 | C22×C3×D3 | — | 2 | 1 | no | — |
| 239 | C22×C3×D3 | — | 2 | 1 | no | — |
| 240 | C2×D32 | — | 2 | 4 | no | — |
| 241 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 247 | #638 | — | 2 | 2 | no | — |
| 248 | #638 | — | 2 | 2 | no | — |
| 249 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 250 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 251 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 252 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 253 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 254 | #634 | — | 2 | 1 | no | — |
| 255 | #634 | — | 2 | 1 | no | — |
| 256 | C3×#67 | — | 2 | 2 | no | — |
| 257 | C3×#67 | — | 2 | 2 | no | — |
| 258 | C3×#67 | — | 2 | 2 | no | — |
| 259 | C3×#67 | — | 2 | 2 | no | — |
| 260 | C3×#67 | — | 4 | 1 | no | — |
| 261 | C3×#67 | — | 4 | 1 | no | — |
| 262 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 263 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 264 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 265 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 266 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 267 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 268 | C3×D12 | — | 2 | 1 | no | — |
| 269 | C3×D12 | — | 2 | 1 | no | — |
| 270 | C3×D12 | — | 2 | 1 | no | — |
| 271 | C3×D12 | — | 2 | 1 | no | — |
| 272 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 273 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 274 | C3×C4×D3 | — | 2 | 2 | no | — |
| 275 | C3×C4×D3 | — | 2 | 2 | no | — |
| 276 | C3×C4×D3 | — | 2 | 2 | no | — |
| 277 | C3×C4×D3 | — | 2 | 2 | no | — |
| 278 | C3×C4×D3 | — | 4 | 1 | no | — |
| 279 | C3×C4×D3 | — | 4 | 1 | no | — |
| 280 | C3×Dic6 | — | 2 | 1 | no | — |
| 281 | C3×Dic6 | — | 2 | 1 | no | — |
| 282 | C3×Dic6 | — | 2 | 1 | no | — |
| 283 | C3×Dic6 | — | 2 | 1 | no | — |
| 284 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 285 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 286 | #627 | — | 2 | 4 | no | — |
| 287 | #626 | — | 2 | 4 | no | — |
| 288 | #626 | — | 2 | 4 | no | — |
| 289 | #626 | — | 4 | 4 | no | — |
| 290 | #625 | — | 2 | 4 | no | — |
| 291 | #624 | — | 2 | 4 | no | — |
| 292 | D3×Dic3 | — | 2 | 4 | no | — |
| 293 | D3×Dic3 | — | 2 | 4 | no | — |
| 294 | C32×C8 | — | 2 | 2 | no | — |
| 295 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 296 | #585 | — | 9 | 1 | no | — |
| 297 | #575 | — | 3 | 1 | no | — |
| 298 | #575 | — | 9 | 1 | no | — |
| 299 | #532 | — | 9 | 1 | no | — |
| 300 | #456 | — | 9 | 2 | no | — |
| 301 | #455 | — | 9 | 2 | no | — |
| 302 | #454 | — | 9 | 2 | no | — |
| 303 | #453 | — | 9 | 2 | no | — |
| 304 | C2×#104 | — | 3 | 1 | no | — |
| 305 | C2×#104 | — | 9 | 1 | no | — |
| 306 | #413 | — | 9 | 1 | no | — |
| 307 | C3×#41 | — | 3 | 2 | no | — |
| 308 | C3×#41 | — | 3 | 2 | no | — |
| 309 | C3×#41 | — | 3 | 2 | no | — |
| 310 | C3×#41 | — | 3 | 2 | no | — |
| 311 | C3×#41 | — | 6 | 1 | no | — |
| 312 | C3×#41 | — | 6 | 1 | no | — |
| 313 | C3×#41 | — | 6 | 1 | no | — |
| 314 | C3×#41 | — | 6 | 1 | no | — |
| 315 | C3×#41 | — | 6 | 1 | no | — |
| 316 | C3×#41 | — | 6 | 1 | no | — |
| 317 | C3×#41 | — | 6 | 1 | no | — |
| 318 | C3×#41 | — | 6 | 1 | no | — |
| 319 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 320 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 321 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 322 | C2×C3×D4 | — | 3 | 1 | no | — |
| 323 | C2×C3×D4 | — | 3 | 1 | no | — |
| 324 | C2×C3×D4 | — | 3 | 1 | no | — |
| 325 | C2×C3×D4 | — | 6 | 1 | no | — |
| 326 | C2×C3×D4 | — | 6 | 1 | no | — |
| 327 | C2×C3×D4 | — | 6 | 1 | no | — |
| 328 | C22×C3×C4 | — | 2 | 1 | no | — |
| 329 | C22×C3×C4 | — | 6 | 1 | no | — |
| 330 | C22×C3×C4 | — | 6 | 1 | no | — |
| 331 | C22×C3×C4 | — | 6 | 1 | no | — |
| 332 | C22×C3×C4 | — | 6 | 1 | no | — |
| 333 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 334 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 335 | C2×#67 | — | 2 | 1 | no | — |
| 336 | C2×#67 | — | 2 | 1 | no | — |
| 337 | C2×#67 | — | 2 | 1 | no | — |
| 338 | C2×#67 | — | 3 | 2 | no | — |
| 339 | C2×#67 | — | 3 | 2 | no | — |
| 340 | C2×#67 | — | 6 | 2 | no | — |
| 341 | C2×#67 | — | 6 | 2 | no | — |
| 342 | C2×#67 | — | 6 | 4 | no | — |
| 343 | C2×#67 | — | 6 | 4 | no | — |
| 344 | C22×Dic3 | — | 2 | 1 | no | — |
| 345 | #239 | — | 6 | 2 | no | — |
| 346 | #239 | — | 6 | 2 | no | — |
| 347 | #239 | — | 6 | 2 | no | — |
| 348 | #239 | — | 6 | 2 | no | — |
| 349 | D3×Q8 | — | 6 | 2 | no | — |
| 350 | D3×Q8 | — | 6 | 2 | no | — |
| 351 | D3×Q8 | — | 6 | 2 | no | — |
| 352 | D3×Q8 | — | 6 | 2 | no | — |
| 353 | #237 | — | 6 | 2 | no | — |
| 354 | #237 | — | 6 | 2 | no | — |
| 355 | #237 | — | 6 | 2 | no | — |
| 356 | #237 | — | 6 | 2 | no | — |
| 357 | #237 | — | 6 | 4 | no | — |
| 358 | #237 | — | 6 | 4 | no | — |
| 359 | #237 | — | 6 | 4 | no | — |
| 360 | #237 | — | 6 | 4 | no | — |
| 361 | D3×D4 | — | 6 | 2 | no | — |
| 362 | D3×D4 | — | 6 | 2 | no | — |
| 363 | D3×D4 | — | 6 | 2 | no | — |
| 364 | D3×D4 | — | 6 | 2 | no | — |
| 365 | D3×D4 | — | 6 | 4 | no | — |
| 366 | D3×D4 | — | 6 | 4 | no | — |
| 367 | D3×D4 | — | 6 | 4 | no | — |
| 368 | D3×D4 | — | 6 | 4 | no | — |
| 369 | #235 | — | 2 | 1 | no | — |
| 370 | #235 | — | 2 | 1 | no | — |
| 371 | #235 | — | 2 | 1 | no | — |
| 372 | #235 | — | 2 | 1 | no | — |
| 373 | #235 | — | 2 | 1 | no | — |
| 374 | #235 | — | 2 | 1 | no | — |
| 375 | #235 | — | 2 | 1 | no | — |
| 376 | #235 | — | 2 | 1 | no | — |
| 377 | #235 | — | 6 | 4 | no | — |
| 378 | #235 | — | 6 | 4 | no | — |
| 379 | #235 | — | 6 | 4 | no | — |
| 380 | #235 | — | 6 | 4 | no | — |
| 381 | #235 | — | 6 | 1 | no | — |
| 382 | #235 | — | 6 | 1 | no | — |
| 383 | #235 | — | 6 | 1 | no | — |
| 384 | #235 | — | 6 | 1 | no | — |
| 385 | #235 | — | 6 | 1 | no | — |
| 386 | #235 | — | 6 | 1 | no | — |
| 387 | #235 | — | 6 | 1 | no | — |
| 388 | #235 | — | 6 | 1 | no | — |
| 389 | #235 | — | 6 | 2 | no | — |
| 390 | #235 | — | 6 | 2 | no | — |
| 391 | #235 | — | 6 | 2 | no | — |
| 392 | #235 | — | 6 | 2 | no | — |
| 393 | #235 | — | 12 | 1 | no | — |
| 394 | #235 | — | 12 | 1 | no | — |
| 395 | #235 | — | 12 | 1 | no | — |
| 396 | #235 | — | 12 | 1 | no | — |
| 397 | #235 | D12 | 1 | 2 | yes | complemented |
| 398 | #235 | #67 | 1 | 2 | yes | complemented |
| 399 | #235 | C22×D3 | 1 | 2 | yes | — |
| 400 | #235 | C22×D3 | 1 | 2 | yes | — |
| 401 | C2×D12 | — | 3 | 1 | no | — |
| 402 | C2×D12 | — | 3 | 1 | no | — |
| 403 | C2×D12 | — | 6 | 1 | no | — |
| 404 | C2×D12 | — | 6 | 2 | no | — |
| 405 | C2×D12 | — | 6 | 2 | no | — |
| 406 | C2×D12 | — | 6 | 2 | no | — |
| 407 | C2×D12 | D12 | 1 | 1 | yes | characteristic, complemented |
| 408 | C2×D12 | #67 | 1 | 1 | yes | characteristic, complemented |
| 409 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×D3 | — | 2 | 1 | no | — |
| 411 | C2×C4×D3 | — | 2 | 1 | no | — |
| 412 | C2×C4×D3 | — | 2 | 1 | no | — |
| 413 | C2×C4×D3 | — | 3 | 2 | no | — |
| 414 | C2×C4×D3 | — | 3 | 2 | no | — |
| 415 | C2×C4×D3 | — | 6 | 2 | no | — |
| 416 | C2×C4×D3 | — | 6 | 4 | no | — |
| 417 | C2×C4×D3 | — | 6 | 4 | no | — |
| 418 | C2×Dic6 | — | 3 | 1 | no | — |
| 419 | C2×Dic6 | — | 3 | 1 | no | — |
| 420 | C2×Dic6 | — | 6 | 1 | no | — |
| 421 | C2×Dic6 | — | 6 | 2 | no | — |
| 422 | C2×Dic6 | — | 6 | 2 | no | — |
| 423 | C2×Dic6 | D12 | 1 | 1 | yes | characteristic, complemented |
| 424 | C2×Dic6 | #67 | 1 | 1 | yes | characteristic, complemented |
| 425 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 426 | C3×Q16 | — | 6 | 2 | no | — |
| 427 | C3×SD16 | — | 6 | 2 | no | — |
| 428 | C3×SD16 | — | 6 | 2 | no | — |
| 429 | C3×D8 | — | 6 | 2 | no | — |
| 430 | C3×M16 | — | 2 | 1 | no | — |
| 431 | C3×M16 | — | 2 | 1 | no | — |
| 432 | C3×M16 | — | 2 | 2 | no | — |
| 433 | C3×M16 | — | 4 | 1 | no | — |
| 434 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 435 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 436 | C2×C3×C8 | — | 2 | 1 | no | — |
| 437 | C2×C3×C8 | — | 2 | 1 | no | — |
| 438 | C2×C3×C8 | — | 4 | 1 | no | — |
| 439 | C3×C42 | — | 3 | 1 | no | — |
| 440 | C3×C42 | — | 3 | 1 | no | — |
| 441 | C3×C42 | — | 6 | 1 | no | — |
| 442 | #217 | — | 6 | 2 | no | — |
| 443 | #216 | — | 6 | 2 | no | — |
| 444 | #216 | — | 6 | 2 | no | — |
| 445 | #215 | — | 6 | 2 | no | — |
| 446 | #215 | — | 6 | 2 | no | — |
| 447 | #214 | — | 6 | 2 | no | — |
| 448 | #214 | — | 6 | 2 | no | — |
| 449 | #213 | — | 6 | 2 | no | — |
| 450 | #213 | — | 6 | 2 | no | — |
| 451 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 452 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 453 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 454 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 455 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 456 | C4×Dic3 | — | 2 | 1 | no | — |
| 457 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 458 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 459 | #208 | — | 3 | 2 | no | — |
| 460 | #208 | — | 3 | 2 | no | — |
| 461 | #208 | — | 6 | 2 | no | — |
| 462 | #208 | — | 6 | 1 | no | — |
| 463 | #208 | — | 6 | 1 | no | — |
| 464 | #208 | — | 12 | 1 | no | — |
| 465 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 466 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 467 | C2×C3⋊C8 | — | 12 | 1 | no | — |
| 468 | Dic12 | — | 2 | 2 | no | — |
| 469 | D24 | — | 2 | 2 | no | — |
| 470 | #204 | — | 2 | 2 | no | — |
| 471 | #204 | — | 2 | 2 | no | — |
| 472 | C22×C32 | — | 4 | 1 | no | — |
| 473 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 474 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 475 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 476 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 477 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 478 | C2×C3×D3 | — | 2 | 2 | no | — |
| 479 | C2×C3×D3 | — | 2 | 2 | no | — |
| 480 | C2×C3×D3 | — | 4 | 2 | no | — |
| 481 | C2×C3×D3 | — | 4 | 1 | no | — |
| 482 | C2×C3×D3 | — | 8 | 1 | no | — |
| 483 | C2×C3×D3 | — | 8 | 1 | no | — |
| 484 | D32 | — | 8 | 4 | no | — |
| 485 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 486 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 487 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 488 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 489 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 490 | C3×Dic3 | — | 2 | 2 | no | — |
| 491 | C3×Dic3 | — | 2 | 2 | no | — |
| 492 | C3×Dic3 | — | 2 | 2 | no | — |
| 493 | C3×Dic3 | — | 4 | 1 | no | — |
| 494 | C3×Dic3 | — | 4 | 1 | no | — |
| 495 | 2−1+4 | — | 9 | 2 | no | — |
| 496 | 2−1+4 | — | 18 | 1 | no | — |
| 497 | 2−1+4 | — | 18 | 1 | no | — |
| 498 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 499 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 500 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 501 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 502 | C2×#41 | — | 3 | 1 | no | — |
| 503 | C2×#41 | — | 3 | 1 | no | — |
| 504 | C2×#41 | — | 3 | 1 | no | — |
| 505 | C2×#41 | — | 9 | 1 | no | — |
| 506 | C2×#41 | — | 18 | 2 | no | — |
| 507 | C2×#41 | — | 18 | 2 | no | — |
| 508 | C2×#41 | — | 18 | 2 | no | — |
| 509 | #137 | — | 3 | 2 | no | — |
| 510 | #137 | — | 6 | 1 | no | — |
| 511 | #137 | — | 9 | 2 | no | — |
| 512 | #137 | — | 18 | 1 | no | — |
| 513 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 514 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 515 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 516 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 517 | #135 | — | 6 | 2 | no | — |
| 518 | #135 | — | 18 | 2 | no | — |
| 519 | C2×M16 | — | 9 | 1 | no | — |
| 520 | C2×M16 | D32 | 1 | 1 | yes | characteristic, complemented |
| 521 | C4⋊Q8 | — | 9 | 1 | no | — |
| 522 | #127 | — | 9 | 1 | no | — |
| 523 | #124 | — | 9 | 1 | no | — |
| 524 | #124 | — | 9 | 1 | no | — |
| 525 | #121 | — | 18 | 2 | no | — |
| 526 | C4×D4 | — | 18 | 2 | no | — |
| 527 | C2×C42 | — | 3 | 1 | no | — |
| 528 | #104 | — | 3 | 2 | no | — |
| 529 | #104 | — | 3 | 2 | no | — |
| 530 | #104 | — | 9 | 2 | no | — |
| 531 | #104 | — | 9 | 2 | no | — |
| 532 | #101 | — | 9 | 2 | no | — |
| 533 | #100 | — | 9 | 2 | no | — |
| 534 | C23×C3 | — | 2 | 1 | no | — |
| 535 | C23×C3 | — | 6 | 1 | no | — |
| 536 | C23×C3 | — | 6 | 1 | no | — |
| 537 | C23×C3 | — | 6 | 1 | no | — |
| 538 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 539 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 540 | C22×D3 | — | 2 | 1 | no | — |
| 541 | C22×D3 | — | 2 | 1 | no | — |
| 542 | C22×D3 | — | 2 | 1 | no | — |
| 543 | C22×D3 | — | 3 | 2 | no | — |
| 544 | C22×D3 | — | 3 | 2 | no | — |
| 545 | C22×D3 | — | 6 | 2 | no | — |
| 546 | C22×D3 | — | 6 | 4 | no | — |
| 547 | C22×D3 | — | 6 | 4 | no | — |
| 548 | C3×Q8 | — | 3 | 2 | no | — |
| 549 | C3×Q8 | — | 3 | 2 | no | — |
| 550 | C3×Q8 | — | 6 | 1 | no | — |
| 551 | C3×Q8 | — | 6 | 1 | no | — |
| 552 | C3×Q8 | — | 6 | 1 | no | — |
| 553 | C3×Q8 | — | 6 | 1 | no | — |
| 554 | C3×D4 | — | 3 | 2 | no | — |
| 555 | C3×D4 | — | 3 | 2 | no | — |
| 556 | C3×D4 | — | 6 | 2 | no | — |
| 557 | C3×D4 | — | 6 | 2 | no | — |
| 558 | C3×D4 | — | 6 | 2 | no | — |
| 559 | C3×D4 | — | 6 | 2 | no | — |
| 560 | C3×D4 | — | 6 | 1 | no | — |
| 561 | C3×D4 | — | 6 | 1 | no | — |
| 562 | C3×D4 | — | 6 | 1 | no | — |
| 563 | C3×D4 | — | 6 | 1 | no | — |
| 564 | C3×D4 | — | 12 | 1 | no | — |
| 565 | C3×D4 | — | 12 | 1 | no | — |
| 566 | C2×C3×C4 | — | 2 | 1 | no | — |
| 567 | C2×C3×C4 | — | 2 | 1 | no | — |
| 568 | C2×C3×C4 | — | 2 | 1 | no | — |
| 569 | C2×C3×C4 | — | 2 | 1 | no | — |
| 570 | C2×C3×C4 | — | 2 | 1 | no | — |
| 571 | C2×C3×C4 | — | 2 | 1 | no | — |
| 572 | C2×C3×C4 | — | 6 | 1 | no | — |
| 573 | C2×C3×C4 | — | 6 | 1 | no | — |
| 574 | C2×C3×C4 | — | 6 | 1 | no | — |
| 575 | C2×C3×C4 | — | 6 | 2 | no | — |
| 576 | C2×C3×C4 | — | 6 | 2 | no | — |
| 577 | C2×C3×C4 | — | 6 | 2 | no | — |
| 578 | C2×C3×C4 | — | 6 | 2 | no | — |
| 579 | C2×C3×C4 | — | 6 | 1 | no | — |
| 580 | C2×C3×C4 | — | 6 | 1 | no | — |
| 581 | C2×C3×C4 | — | 12 | 2 | no | — |
| 582 | C2×C3×C4 | — | 12 | 1 | no | — |
| 583 | C2×C3×C4 | — | 12 | 1 | no | — |
| 584 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 585 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 586 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 587 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 588 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 589 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 590 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 591 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 592 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 593 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 594 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 595 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 596 | #67 | — | 2 | 2 | no | — |
| 597 | #67 | — | 2 | 2 | no | — |
| 598 | #67 | — | 2 | 2 | no | — |
| 599 | #67 | — | 2 | 2 | no | — |
| 600 | #67 | — | 4 | 1 | no | — |
| 601 | #67 | — | 4 | 1 | no | — |
| 602 | #67 | — | 6 | 4 | no | — |
| 603 | #67 | — | 6 | 4 | no | — |
| 604 | #67 | — | 6 | 4 | no | — |
| 605 | #67 | — | 6 | 4 | no | — |
| 606 | #67 | — | 6 | 2 | no | — |
| 607 | #67 | — | 6 | 2 | no | — |
| 608 | #67 | — | 6 | 2 | no | — |
| 609 | #67 | — | 6 | 2 | no | — |
| 610 | #67 | — | 12 | 2 | no | — |
| 611 | #67 | — | 12 | 2 | no | — |
| 612 | #67 | — | 12 | 4 | no | — |
| 613 | C2×Dic3 | — | 2 | 1 | no | — |
| 614 | C2×Dic3 | — | 2 | 1 | no | — |
| 615 | C2×Dic3 | — | 2 | 1 | no | — |
| 616 | C2×Dic3 | — | 2 | 1 | no | — |
| 617 | C2×Dic3 | — | 2 | 1 | no | — |
| 618 | C2×Dic3 | — | 3 | 2 | no | — |
| 619 | C2×Dic3 | — | 3 | 2 | no | — |
| 620 | C2×Dic3 | — | 4 | 2 | no | — |
| 621 | C2×Dic3 | — | 6 | 2 | no | — |
| 622 | C2×Dic3 | — | 6 | 4 | no | — |
| 623 | C2×Dic3 | — | 6 | 4 | no | — |
| 624 | D12 | — | 2 | 1 | no | — |
| 625 | D12 | — | 2 | 1 | no | — |
| 626 | D12 | — | 2 | 1 | no | — |
| 627 | D12 | — | 2 | 1 | no | — |
| 628 | D12 | — | 6 | 4 | no | — |
| 629 | D12 | — | 6 | 4 | no | — |
| 630 | D12 | — | 6 | 1 | no | — |
| 631 | D12 | — | 6 | 1 | no | — |
| 632 | D12 | — | 6 | 1 | no | — |
| 633 | D12 | — | 6 | 1 | no | — |
| 634 | D12 | — | 12 | 1 | no | — |
| 635 | D12 | — | 12 | 1 | no | — |
| 636 | D12 | — | 12 | 4 | no | — |
| 637 | D12 | C2×D12 | 1 | 2 | yes | — |
| 638 | D12 | C2×#67 | 1 | 2 | yes | — |
| 639 | C4×D3 | — | 2 | 2 | no | — |
| 640 | C4×D3 | — | 2 | 2 | no | — |
| 641 | C4×D3 | — | 2 | 2 | no | — |
| 642 | C4×D3 | — | 2 | 2 | no | — |
| 643 | C4×D3 | — | 4 | 1 | no | — |
| 644 | C4×D3 | — | 4 | 1 | no | — |
| 645 | C4×D3 | — | 6 | 4 | no | — |
| 646 | C4×D3 | — | 6 | 4 | no | — |
| 647 | C4×D3 | — | 6 | 4 | no | — |
| 648 | C4×D3 | — | 6 | 4 | no | — |
| 649 | C4×D3 | — | 6 | 2 | no | — |
| 650 | C4×D3 | — | 6 | 2 | no | — |
| 651 | C4×D3 | — | 6 | 2 | no | — |
| 652 | C4×D3 | — | 6 | 2 | no | — |
| 653 | C4×D3 | — | 12 | 2 | no | — |
| 654 | C4×D3 | — | 12 | 2 | no | — |
| 655 | Dic6 | — | 2 | 1 | no | — |
| 656 | Dic6 | — | 2 | 1 | no | — |
| 657 | Dic6 | — | 2 | 1 | no | — |
| 658 | Dic6 | — | 2 | 1 | no | — |
| 659 | Dic6 | — | 6 | 4 | no | — |
| 660 | Dic6 | — | 6 | 4 | no | — |
| 661 | Dic6 | — | 6 | 1 | no | — |
| 662 | Dic6 | — | 6 | 1 | no | — |
| 663 | Dic6 | — | 6 | 1 | no | — |
| 664 | Dic6 | — | 6 | 1 | no | — |
| 665 | Dic6 | — | 12 | 1 | no | — |
| 666 | Dic6 | — | 12 | 1 | no | — |
| 667 | Dic6 | C2×D12 | 1 | 2 | yes | — |
| 668 | Dic6 | C2×#67 | 1 | 2 | yes | — |
| 669 | C3×C8 | — | 2 | 2 | no | — |
| 670 | C3×C8 | — | 2 | 2 | no | — |
| 671 | C3×C8 | — | 4 | 2 | no | — |
| 672 | C3⋊C8 | — | 6 | 2 | no | — |
| 673 | C3⋊C8 | — | 6 | 2 | no | — |
| 674 | C3⋊C8 | — | 12 | 2 | no | — |
| 675 | C2×C32 | — | 2 | 1 | no | — |
| 676 | C2×C32 | — | 2 | 1 | no | — |
| 677 | C2×C32 | — | 2 | 1 | no | — |
| 678 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 679 | C3⋊D3 | — | 4 | 2 | no | — |
| 680 | C3×D3 | — | 4 | 2 | no | — |
| 681 | C3×D3 | — | 4 | 2 | no | — |
| 682 | C3×D3 | — | 8 | 1 | no | — |
| 683 | #41 | — | 3 | 2 | no | — |
| 684 | #41 | — | 3 | 2 | no | — |
| 685 | #41 | — | 3 | 2 | no | — |
| 686 | #41 | — | 3 | 2 | no | — |
| 687 | #41 | — | 6 | 1 | no | — |
| 688 | #41 | — | 6 | 1 | no | — |
| 689 | #41 | — | 6 | 1 | no | — |
| 690 | #41 | — | 6 | 1 | no | — |
| 691 | #41 | — | 6 | 1 | no | — |
| 692 | #41 | — | 6 | 1 | no | — |
| 693 | #41 | — | 6 | 1 | no | — |
| 694 | #41 | — | 6 | 1 | no | — |
| 695 | #41 | — | 18 | 4 | no | — |
| 696 | #41 | — | 18 | 2 | no | — |
| 697 | #41 | — | 18 | 2 | no | — |
| 698 | #41 | — | 18 | 4 | no | — |
| 699 | #41 | — | 18 | 4 | no | — |
| 700 | #41 | — | 18 | 2 | no | — |
| 701 | #41 | — | 18 | 2 | no | — |
| 702 | #41 | — | 18 | 4 | no | — |
| 703 | #41 | — | 18 | 2 | no | — |
| 704 | #41 | — | 18 | 2 | no | — |
| 705 | #41 | — | 18 | 1 | no | — |
| 706 | #41 | — | 18 | 1 | no | — |
| 707 | #41 | — | 18 | 1 | no | — |
| 708 | #41 | — | 18 | 1 | no | — |
| 709 | C2×Q8 | — | 3 | 1 | no | — |
| 710 | C2×Q8 | — | 3 | 1 | no | — |
| 711 | C2×Q8 | — | 3 | 1 | no | — |
| 712 | C2×Q8 | — | 9 | 1 | no | — |
| 713 | C2×Q8 | — | 18 | 2 | no | — |
| 714 | C2×Q8 | — | 18 | 2 | no | — |
| 715 | C2×Q8 | — | 18 | 2 | no | — |
| 716 | C2×D4 | — | 3 | 1 | no | — |
| 717 | C2×D4 | — | 3 | 1 | no | — |
| 718 | C2×D4 | — | 3 | 1 | no | — |
| 719 | C2×D4 | — | 6 | 1 | no | — |
| 720 | C2×D4 | — | 6 | 1 | no | — |
| 721 | C2×D4 | — | 6 | 1 | no | — |
| 722 | C2×D4 | — | 9 | 2 | no | — |
| 723 | C2×D4 | — | 9 | 1 | no | — |
| 724 | C2×D4 | — | 18 | 2 | no | — |
| 725 | C2×D4 | — | 18 | 2 | no | — |
| 726 | C2×D4 | — | 18 | 2 | no | — |
| 727 | C2×D4 | — | 18 | 4 | no | — |
| 728 | C2×D4 | — | 18 | 2 | no | — |
| 729 | C2×D4 | — | 18 | 4 | no | — |
| 730 | C2×D4 | — | 18 | 4 | no | — |
| 731 | C22×C4 | — | 6 | 1 | no | — |
| 732 | C22×C4 | — | 6 | 1 | no | — |
| 733 | C22×C4 | — | 6 | 1 | no | — |
| 734 | C22×C4 | — | 6 | 1 | no | — |
| 735 | C22×C4 | — | 9 | 2 | no | — |
| 736 | C22×C4 | — | 18 | 4 | no | — |
| 737 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 738 | Q16 | — | 6 | 2 | no | — |
| 739 | Q16 | — | 18 | 2 | no | — |
| 740 | SD16 | — | 6 | 2 | no | — |
| 741 | SD16 | — | 6 | 2 | no | — |
| 742 | SD16 | — | 18 | 2 | no | — |
| 743 | SD16 | — | 18 | 2 | no | — |
| 744 | D8 | — | 6 | 2 | no | — |
| 745 | D8 | — | 18 | 2 | no | — |
| 746 | M16 | — | 2 | 1 | no | — |
| 747 | M16 | — | 9 | 2 | no | — |
| 748 | M16 | — | 18 | 1 | no | — |
| 749 | M16 | C2×D32 | 1 | 2 | yes | — |
| 750 | C2×C8 | — | 2 | 1 | no | — |
| 751 | C2×C8 | — | 18 | 1 | no | — |
| 752 | C4⋊C4 | — | 18 | 2 | no | — |
| 753 | C22⋊C4 | — | 18 | 2 | no | — |
| 754 | C22⋊C4 | — | 18 | 2 | no | — |
| 755 | C42 | — | 3 | 1 | no | — |
| 756 | C42 | — | 3 | 1 | no | — |
| 757 | C42 | — | 6 | 1 | no | — |
| 758 | C22×C3 | — | 2 | 1 | no | — |
| 759 | C22×C3 | — | 2 | 1 | no | — |
| 760 | C22×C3 | — | 2 | 1 | no | — |
| 761 | C22×C3 | — | 4 | 1 | no | — |
| 762 | C22×C3 | — | 4 | 1 | no | — |
| 763 | C22×C3 | — | 6 | 2 | no | — |
| 764 | C22×C3 | — | 6 | 2 | no | — |
| 765 | C22×C3 | — | 8 | 1 | no | — |
| 766 | C22×C3 | — | 12 | 2 | no | — |
| 767 | C22×C3 | — | 12 | 1 | no | — |
| 768 | C22×C3 | — | 24 | 1 | no | — |
| 769 | C22×C3 | — | 24 | 1 | no | — |
| 770 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 771 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 772 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 773 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 774 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 775 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 776 | C2×D3 | — | 2 | 2 | no | — |
| 777 | C2×D3 | — | 2 | 2 | no | — |
| 778 | C2×D3 | — | 4 | 2 | no | — |
| 779 | C2×D3 | — | 4 | 1 | no | — |
| 780 | C2×D3 | — | 6 | 2 | no | — |
| 781 | C2×D3 | — | 6 | 2 | no | — |
| 782 | C2×D3 | — | 8 | 1 | no | — |
| 783 | C2×D3 | — | 8 | 1 | no | — |
| 784 | C2×D3 | — | 12 | 2 | no | — |
| 785 | C2×D3 | — | 12 | 2 | no | — |
| 786 | C2×D3 | — | 12 | 2 | no | — |
| 787 | C2×D3 | — | 24 | 2 | no | — |
| 788 | C2×D3 | — | 24 | 4 | no | — |
| 789 | C2×D3 | — | 24 | 4 | no | — |
| 790 | C3×C4 | — | 2 | 1 | no | — |
| 791 | C3×C4 | — | 2 | 1 | no | — |
| 792 | C3×C4 | — | 2 | 1 | no | — |
| 793 | C3×C4 | — | 2 | 1 | no | — |
| 794 | C3×C4 | — | 6 | 2 | no | — |
| 795 | C3×C4 | — | 6 | 2 | no | — |
| 796 | C3×C4 | — | 6 | 2 | no | — |
| 797 | C3×C4 | — | 12 | 1 | no | — |
| 798 | C3×C4 | — | 12 | 1 | no | — |
| 799 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 800 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 801 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 802 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 803 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 804 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 805 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 806 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 807 | Dic3 | — | 2 | 2 | no | — |
| 808 | Dic3 | — | 2 | 2 | no | — |
| 809 | Dic3 | — | 2 | 2 | no | — |
| 810 | Dic3 | — | 4 | 1 | no | — |
| 811 | Dic3 | — | 4 | 1 | no | — |
| 812 | Dic3 | — | 6 | 2 | no | — |
| 813 | Dic3 | — | 6 | 2 | no | — |
| 814 | Dic3 | — | 12 | 2 | no | — |
| 815 | C32 | #3018 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 816 | C23 | — | 6 | 1 | no | — |
| 817 | C23 | — | 6 | 1 | no | — |
| 818 | C23 | — | 6 | 1 | no | — |
| 819 | C23 | — | 9 | 2 | no | — |
| 820 | C23 | — | 18 | 4 | no | — |
| 821 | C23 | #3802 | 1 | 1 | yes | characteristic |
| 822 | Q8 | — | 3 | 2 | no | — |
| 823 | Q8 | — | 3 | 2 | no | — |
| 824 | Q8 | — | 6 | 1 | no | — |
| 825 | Q8 | — | 6 | 1 | no | — |
| 826 | Q8 | — | 6 | 1 | no | — |
| 827 | Q8 | — | 6 | 1 | no | — |
| 828 | Q8 | — | 18 | 4 | no | — |
| 829 | Q8 | — | 18 | 1 | no | — |
| 830 | Q8 | — | 18 | 1 | no | — |
| 831 | D4 | — | 3 | 2 | no | — |
| 832 | D4 | — | 3 | 2 | no | — |
| 833 | D4 | — | 6 | 2 | no | — |
| 834 | D4 | — | 6 | 2 | no | — |
| 835 | D4 | — | 6 | 2 | no | — |
| 836 | D4 | — | 6 | 2 | no | — |
| 837 | D4 | — | 6 | 1 | no | — |
| 838 | D4 | — | 6 | 1 | no | — |
| 839 | D4 | — | 6 | 1 | no | — |
| 840 | D4 | — | 6 | 1 | no | — |
| 841 | D4 | — | 12 | 1 | no | — |
| 842 | D4 | — | 12 | 1 | no | — |
| 843 | D4 | — | 18 | 4 | no | — |
| 844 | D4 | — | 18 | 4 | no | — |
| 845 | D4 | — | 18 | 4 | no | — |
| 846 | D4 | — | 18 | 2 | no | — |
| 847 | D4 | — | 18 | 2 | no | — |
| 848 | D4 | — | 18 | 1 | no | — |
| 849 | D4 | — | 18 | 1 | no | — |
| 850 | D4 | — | 36 | 4 | no | — |
| 851 | C2×C4 | — | 6 | 1 | no | — |
| 852 | C2×C4 | — | 6 | 1 | no | — |
| 853 | C2×C4 | — | 6 | 1 | no | — |
| 854 | C2×C4 | — | 6 | 2 | no | — |
| 855 | C2×C4 | — | 6 | 2 | no | — |
| 856 | C2×C4 | — | 6 | 2 | no | — |
| 857 | C2×C4 | — | 6 | 2 | no | — |
| 858 | C2×C4 | — | 6 | 1 | no | — |
| 859 | C2×C4 | — | 6 | 1 | no | — |
| 860 | C2×C4 | — | 9 | 2 | no | — |
| 861 | C2×C4 | — | 12 | 2 | no | — |
| 862 | C2×C4 | — | 12 | 1 | no | — |
| 863 | C2×C4 | — | 12 | 1 | no | — |
| 864 | C2×C4 | — | 18 | 4 | no | — |
| 865 | C2×C4 | — | 18 | 4 | no | — |
| 866 | C2×C4 | — | 18 | 4 | no | — |
| 867 | C2×C4 | — | 18 | 2 | no | — |
| 868 | C2×C4 | — | 18 | 2 | no | — |
| 869 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 870 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 871 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 872 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 873 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 874 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 875 | C8 | — | 2 | 2 | no | — |
| 876 | C8 | — | 18 | 2 | no | — |
| 877 | C2×C3 | — | 2 | 1 | no | — |
| 878 | C2×C3 | — | 2 | 1 | no | — |
| 879 | C2×C3 | — | 2 | 1 | no | — |
| 880 | C2×C3 | — | 2 | 1 | no | — |
| 881 | C2×C3 | — | 2 | 1 | no | — |
| 882 | C2×C3 | — | 2 | 1 | no | — |
| 883 | C2×C3 | — | 2 | 1 | no | — |
| 884 | C2×C3 | — | 4 | 1 | no | — |
| 885 | C2×C3 | — | 4 | 1 | no | — |
| 886 | C2×C3 | — | 4 | 1 | no | — |
| 887 | C2×C3 | — | 12 | 2 | no | — |
| 888 | C2×C3 | — | 12 | 2 | no | — |
| 889 | C2×C3 | — | 24 | 1 | no | — |
| 890 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 891 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 892 | D3 | — | 4 | 2 | no | — |
| 893 | D3 | — | 4 | 2 | no | — |
| 894 | D3 | — | 8 | 1 | no | — |
| 895 | D3 | — | 12 | 2 | no | — |
| 896 | D3 | — | 12 | 2 | no | — |
| 897 | D3 | — | 24 | 2 | no | — |
| 898 | C22 | — | 4 | 1 | no | — |
| 899 | C22 | — | 6 | 2 | no | — |
| 900 | C22 | — | 6 | 2 | no | — |
| 901 | C22 | — | 12 | 2 | no | — |
| 902 | C22 | — | 12 | 1 | no | — |
| 903 | C22 | — | 18 | 2 | no | — |
| 904 | C22 | — | 24 | 1 | no | — |
| 905 | C22 | — | 24 | 1 | no | — |
| 906 | C22 | — | 36 | 2 | no | — |
| 907 | C22 | — | 72 | 4 | no | — |
| 908 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 909 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 910 | C22 | C2×#3802 | 1 | 1 | yes | characteristic |
| 911 | C4 | — | 6 | 2 | no | — |
| 912 | C4 | — | 6 | 2 | no | — |
| 913 | C4 | — | 6 | 2 | no | — |
| 914 | C4 | — | 12 | 1 | no | — |
| 915 | C4 | — | 12 | 1 | no | — |
| 916 | C4 | — | 18 | 2 | no | — |
| 917 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 918 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 919 | C4 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 920 | C4 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 921 | C3 | — | 2 | 1 | no | — |
| 922 | C3 | #78986 | 1 | 1 | yes | characteristic, complemented |
| 923 | C3 | #84004 | 1 | 1 | yes | characteristic, complemented |
| 924 | C2 | — | 2 | 1 | no | — |
| 925 | C2 | — | 2 | 1 | no | — |
| 926 | C2 | — | 2 | 1 | no | — |
| 927 | C2 | — | 12 | 2 | no | — |
| 928 | C2 | — | 12 | 2 | no | — |
| 929 | C2 | — | 24 | 1 | no | — |
| 930 | C2 | — | 36 | 2 | no | — |
| 931 | C2 | C2×#63922 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596669 | C2 | semidirect |
| 2. C3×#5748 | C2 | semidirect |
| 3. #10595029 | C2 | semidirect |
| 4. #10594786 | C2 | semidirect |
| 5. #10592831 | C2 | semidirect |
| 6. C2×C3×#825 | C2 | semidirect |
| 7. C2×#63569 | C2 | semidirect |
| 8. #10591019 | C2 | semidirect |
| 9. #10591017 | C2 | semidirect |
| 10. #10591013 | C2 | semidirect |
| 11. #10591011 | C2 | semidirect |
| 17. C2×C3×#235 | C22 | semidirect |
| 28. C2×C32×M16 | C22 | semidirect |
| 29. C2×#3748 | C22 | semidirect |
| 30. C2×C3×C4×Dic3 | C22 | semidirect |
| 32. C3×#909 | C22 | semidirect |
| 34. C3×#908 | C22 | semidirect |
| 37. #63911 | C22 | semidirect |
| 39. #63866 | C22 | semidirect |
| 40. #63864 | C22 | semidirect |
| 41. #63860 | C22 | semidirect |
| 43. #63827 | C22 | semidirect |
| 45. #63823 | C22 | semidirect |
| 47. #63651 | C22 | semidirect |
| 48. #63650 | C22 | semidirect |
| 49. C3×#825 | C22 | semidirect |
| 50. C3×#825 | C22 | semidirect |
| 51. #63569 | C22 | semidirect |
| 52. #63569 | C22 | semidirect |
| 59. #5748 | D3 | semidirect |
| 67. C2×#825 | D3 | semidirect |
| 97. C3×#235 | D4 | semidirect |
| 98. C3×#235 | D4 | semidirect |
| 101. C2×C3×D12 | D4 | semidirect |
| 102. C2×C3×D12 | D4 | semidirect |
| 107. C2×C3×Dic6 | D4 | semidirect |
| 108. C2×C3×Dic6 | D4 | semidirect |
| 180. C2×#235 | C2×D3 | semidirect |
| 187. C2×C3×M16 | C2×D3 | semidirect |
| 188. C2×C3×M16 | C2×D3 | semidirect |
| 207. C2×C4×Dic3 | C2×D3 | semidirect |
| 212. #909 | C2×D3 | semidirect |
| 214. #908 | C2×D3 | semidirect |
| 225. #825 | C2×D3 | semidirect |
| 226. #825 | C2×D3 | semidirect |
| 397. #235 | D12 | semidirect |
| 398. #235 | #67 | semidirect |
| 407. C2×D12 | D12 | semidirect |
| 408. C2×D12 | #67 | semidirect |
| 423. C2×Dic6 | D12 | semidirect |
| 424. C2×Dic6 | #67 | semidirect |
| 520. C2×M16 | D32 | semidirect |
| 815. C32 | #3018 | semidirect |
| 922. C3 | #78986 | semidirect |
| 923. C3 | #84004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596669 | 2 |
| C3×#5748 | 2 |
| #10595029 | 2 |
| #10594786 | 2 |
| #10592831 | 2 |
| C2×C3×#825 | 2 |
| C2×#63569 | 2 |
| #10591019 | 2 |
| #10591017 | 2 |
| #10591013 | 2 |
| #10591011 | 2 |
| #84004 | 3 |
| #78986 | 3 |