Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1469 conjugacy classes of subgroups.
The subgroup lattice has 793 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#64298 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5748 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10594856 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10594786 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#63651 | 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 | #10591019 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10591017 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #84006 | — | 3 | 1 | no | maximal |
| 11 | #78996 | — | 3 | 1 | no | maximal |
| 12 | C22×#634 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#3805 | — | 2 | 2 | no | — |
| 17 | #64298 | — | 2 | 2 | no | — |
| 18 | #64298 | — | 2 | 2 | no | — |
| 19 | #64298 | — | 2 | 2 | no | — |
| 20 | #64298 | C22 | 1 | 4 | yes | — |
| 21 | C2×#3795 | — | 2 | 1 | no | — |
| 22 | C2×#3795 | — | 2 | 1 | no | — |
| 23 | C2×D3×Dic6 | — | 2 | 1 | no | — |
| 24 | C2×D3×Dic6 | — | 2 | 1 | no | — |
| 25 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3748 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#926 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#909 | — | 2 | 1 | no | — |
| 29 | C3×#909 | C22 | 1 | 2 | yes | complemented |
| 30 | C3×#908 | — | 2 | 1 | no | — |
| 31 | C3×#908 | C22 | 1 | 2 | yes | complemented |
| 32 | C3×#904 | — | 2 | 2 | no | — |
| 33 | #63962 | — | 2 | 2 | no | — |
| 34 | #63866 | C22 | 1 | 2 | yes | complemented |
| 35 | #63860 | C22 | 1 | 2 | yes | complemented |
| 36 | #63857 | — | 2 | 2 | no | — |
| 37 | #63827 | — | 2 | 1 | no | — |
| 38 | #63827 | C22 | 1 | 2 | yes | complemented |
| 39 | #63823 | — | 2 | 1 | no | — |
| 40 | #63823 | C22 | 1 | 2 | yes | complemented |
| 41 | #63822 | — | 2 | 2 | no | — |
| 42 | #63651 | C22 | 1 | 4 | yes | complemented |
| 43 | C3×#825 | C22 | 1 | 4 | yes | complemented |
| 44 | #63569 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#1010 | — | 3 | 1 | no | — |
| 46 | C2×#1010 | — | 3 | 1 | no | — |
| 47 | C3×#575 | — | 3 | 1 | no | — |
| 48 | #5825 | — | 3 | 1 | no | — |
| 49 | #5822 | — | 3 | 1 | no | — |
| 50 | #5822 | — | 3 | 1 | no | — |
| 51 | #5748 | 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 | #5201 | — | 3 | 4 | no | — |
| 57 | #5139 | D3 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#824 | — | 3 | 1 | no | — |
| 59 | C2×#824 | — | 3 | 1 | no | — |
| 60 | C2×#824 | — | 6 | 1 | no | — |
| 61 | #5005 | — | 3 | 1 | no | — |
| 62 | #4827 | — | 3 | 4 | no | — |
| 63 | #4826 | — | 3 | 4 | no | — |
| 64 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 65 | C22×C3⋊Dic3 | D4 | 1 | 2 | yes | — |
| 66 | C2×#634 | — | 2 | 1 | no | — |
| 67 | C2×#634 | — | 2 | 1 | no | — |
| 68 | C2×#634 | — | 2 | 1 | no | — |
| 69 | C2×#634 | — | 2 | 1 | no | — |
| 70 | C2×#634 | D4 | 1 | 2 | yes | — |
| 71 | C2×#634 | C23 | 1 | 2 | yes | — |
| 72 | C2×C3×#67 | — | 2 | 1 | no | — |
| 73 | C2×C3×#67 | — | 2 | 1 | no | — |
| 74 | C2×C3×#67 | — | 2 | 1 | no | — |
| 75 | C3×#235 | — | 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 | — | 2 | 1 | no | — |
| 81 | C3×#235 | — | 2 | 1 | no | — |
| 82 | C3×#235 | — | 2 | 1 | no | — |
| 83 | C3×#235 | D4 | 1 | 2 | yes | — |
| 84 | C3×#235 | D4 | 1 | 2 | yes | — |
| 85 | C3×#235 | C23 | 1 | 2 | yes | — |
| 86 | C3×#235 | C23 | 1 | 2 | yes | — |
| 87 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 88 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 89 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 91 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 92 | C2×C3×C4×D3 | — | 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 | 1 | yes | characteristic |
| 96 | C2×#627 | — | 2 | 2 | no | — |
| 97 | C2×#625 | — | 2 | 2 | no | — |
| 98 | #3805 | — | 2 | 8 | no | — |
| 99 | #3805 | — | 2 | 8 | no | — |
| 100 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 101 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 102 | #3795 | — | 2 | 4 | no | — |
| 103 | #3795 | — | 2 | 4 | no | — |
| 104 | #3795 | — | 2 | 4 | no | — |
| 105 | #3795 | — | 2 | 4 | no | — |
| 106 | D3×Dic6 | — | 2 | 4 | no | — |
| 107 | D3×Dic6 | — | 2 | 4 | no | — |
| 108 | D3×Dic6 | — | 2 | 4 | no | — |
| 109 | D3×Dic6 | — | 2 | 4 | no | — |
| 110 | C32×M16 | — | 2 | 1 | no | — |
| 111 | C32×M16 | C23 | 1 | 2 | yes | — |
| 112 | C2×C32×C8 | — | 2 | 1 | no | — |
| 113 | #3748 | — | 2 | 1 | no | — |
| 114 | #3748 | C23 | 1 | 2 | yes | — |
| 115 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 116 | C3×#217 | — | 2 | 1 | no | — |
| 117 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 118 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 119 | C3×Dic12 | — | 2 | 2 | no | — |
| 120 | C3×D24 | — | 2 | 2 | no | — |
| 121 | C3×#204 | — | 2 | 2 | no | — |
| 122 | C3×#204 | — | 2 | 2 | no | — |
| 123 | Dic3⋊Dic3 | — | 2 | 4 | no | — |
| 124 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 125 | #3718 | — | 2 | 2 | no | — |
| 126 | #3715 | — | 2 | 2 | no | — |
| 127 | #3715 | — | 2 | 2 | no | — |
| 128 | #3713 | — | 2 | 2 | no | — |
| 129 | #3020 | — | 9 | 1 | no | Sylow |
| 130 | C2×C3×#41 | — | 3 | 1 | no | — |
| 131 | C2×C3×#41 | — | 3 | 1 | no | — |
| 132 | C2×C3×#41 | — | 3 | 1 | no | — |
| 133 | #1010 | — | 3 | 4 | no | — |
| 134 | #1010 | — | 3 | 4 | no | — |
| 135 | #1010 | — | 6 | 2 | no | — |
| 136 | #1010 | — | 6 | 2 | no | — |
| 137 | #1010 | — | 6 | 2 | no | — |
| 138 | #1010 | — | 6 | 2 | no | — |
| 139 | #1010 | — | 6 | 2 | no | — |
| 140 | #1010 | — | 6 | 2 | no | — |
| 141 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 142 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 143 | C2×#237 | — | 6 | 1 | no | — |
| 144 | C2×#237 | — | 6 | 1 | no | — |
| 145 | C2×#237 | — | 6 | 2 | no | — |
| 146 | C2×#237 | — | 6 | 2 | no | — |
| 147 | C2×#235 | — | 6 | 1 | no | — |
| 148 | C2×#235 | — | 6 | 1 | no | — |
| 149 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 150 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 151 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 152 | C22×Dic6 | — | 3 | 1 | no | — |
| 153 | C22×Dic6 | — | 3 | 1 | no | — |
| 154 | C22×Dic6 | — | 6 | 1 | no | — |
| 155 | C22×Dic6 | — | 6 | 1 | no | — |
| 156 | C22×Dic6 | — | 6 | 1 | no | — |
| 157 | C3×#137 | — | 3 | 2 | no | — |
| 158 | C3×#137 | — | 6 | 1 | no | — |
| 159 | C3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 160 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 161 | C3×#135 | — | 6 | 2 | no | — |
| 162 | C2×C3×M16 | — | 2 | 1 | no | — |
| 163 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 164 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 165 | C3×#117 | — | 3 | 1 | no | — |
| 166 | #951 | — | 3 | 2 | no | — |
| 167 | #951 | — | 6 | 1 | no | — |
| 168 | #950 | — | 6 | 2 | no | — |
| 169 | #950 | — | 6 | 2 | no | — |
| 170 | #949 | — | 3 | 2 | no | — |
| 171 | #949 | — | 6 | 1 | no | — |
| 172 | #944 | — | 3 | 2 | no | — |
| 173 | #942 | — | 3 | 2 | no | — |
| 174 | #942 | — | 6 | 1 | no | — |
| 175 | #936 | — | 3 | 2 | no | — |
| 176 | #935 | — | 6 | 2 | no | — |
| 177 | #932 | — | 3 | 2 | no | — |
| 178 | #932 | — | 6 | 1 | no | — |
| 179 | #926 | C2×D3 | 1 | 1 | yes | characteristic |
| 180 | #924 | — | 6 | 2 | no | — |
| 181 | C2×#208 | — | 3 | 1 | no | — |
| 182 | C2×#208 | — | 3 | 1 | no | — |
| 183 | C2×#208 | — | 6 | 1 | no | — |
| 184 | #909 | — | 2 | 1 | no | — |
| 185 | #909 | C2×D3 | 1 | 2 | yes | complemented |
| 186 | #908 | — | 2 | 1 | no | — |
| 187 | #908 | C2×D3 | 1 | 2 | yes | complemented |
| 188 | #904 | — | 2 | 2 | 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 | 4 | no | — |
| 197 | #824 | — | 3 | 4 | no | — |
| 198 | #824 | — | 6 | 4 | no | — |
| 199 | #805 | — | 3 | 4 | no | — |
| 200 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C22×C3×D3 | — | 2 | 1 | no | — |
| 202 | C22×C3×D3 | — | 2 | 1 | no | — |
| 203 | C22×C3×D3 | — | 2 | 1 | no | — |
| 204 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 210 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 211 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 212 | C2×C3⋊Dic3 | C2×D4 | 1 | 4 | yes | — |
| 213 | #634 | — | 2 | 2 | no | — |
| 214 | #634 | — | 2 | 2 | no | — |
| 215 | #634 | — | 2 | 2 | no | — |
| 216 | #634 | — | 2 | 2 | no | — |
| 217 | C3×#67 | — | 2 | 2 | no | — |
| 218 | C3×#67 | — | 2 | 2 | no | — |
| 219 | C3×#67 | — | 2 | 2 | no | — |
| 220 | C3×#67 | — | 2 | 2 | no | — |
| 221 | C3×#67 | — | 4 | 1 | no | — |
| 222 | C3×#67 | — | 4 | 1 | no | — |
| 223 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 224 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 225 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 226 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 227 | C3×D12 | — | 2 | 1 | no | — |
| 228 | C3×D12 | — | 2 | 1 | no | — |
| 229 | C3×D12 | — | 2 | 1 | no | — |
| 230 | C3×D12 | — | 2 | 1 | no | — |
| 231 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 232 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 233 | C3×C4×D3 | — | 2 | 2 | no | — |
| 234 | C3×C4×D3 | — | 2 | 2 | no | — |
| 235 | C3×C4×D3 | — | 2 | 2 | no | — |
| 236 | C3×C4×D3 | — | 2 | 2 | no | — |
| 237 | C3×C4×D3 | — | 4 | 1 | no | — |
| 238 | C3×C4×D3 | — | 4 | 1 | no | — |
| 239 | C3×Dic6 | — | 2 | 1 | no | — |
| 240 | C3×Dic6 | — | 2 | 1 | no | — |
| 241 | C3×Dic6 | — | 2 | 1 | no | — |
| 242 | C3×Dic6 | — | 2 | 1 | no | — |
| 243 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 244 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 245 | #627 | — | 2 | 8 | no | — |
| 246 | #625 | — | 2 | 8 | no | — |
| 247 | D3×Dic3 | — | 2 | 8 | no | — |
| 248 | D3×Dic3 | — | 2 | 8 | no | — |
| 249 | C32×C8 | — | 2 | 2 | no | — |
| 250 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 251 | C2×2−1+4 | — | 9 | 1 | no | — |
| 252 | #575 | — | 3 | 1 | no | — |
| 253 | #575 | — | 9 | 1 | no | — |
| 254 | #536 | — | 9 | 1 | no | — |
| 255 | #456 | — | 9 | 4 | no | — |
| 256 | #454 | — | 9 | 4 | no | — |
| 257 | #421 | — | 3 | 1 | no | — |
| 258 | #421 | — | 9 | 1 | no | — |
| 259 | C2×#101 | — | 9 | 1 | no | — |
| 260 | C3×#41 | — | 3 | 2 | no | — |
| 261 | C3×#41 | — | 3 | 2 | no | — |
| 262 | C3×#41 | — | 3 | 2 | no | — |
| 263 | C3×#41 | — | 3 | 2 | no | — |
| 264 | C3×#41 | — | 6 | 1 | no | — |
| 265 | C3×#41 | — | 6 | 1 | no | — |
| 266 | C3×#41 | — | 6 | 1 | no | — |
| 267 | C3×#41 | — | 6 | 1 | no | — |
| 268 | C3×#41 | — | 6 | 1 | no | — |
| 269 | C3×#41 | — | 6 | 1 | no | — |
| 270 | C3×#41 | — | 6 | 1 | no | — |
| 271 | C3×#41 | — | 6 | 1 | no | — |
| 272 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 273 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 274 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 275 | C2×C3×D4 | — | 3 | 1 | no | — |
| 276 | C2×C3×D4 | — | 3 | 1 | no | — |
| 277 | C2×C3×D4 | — | 3 | 1 | no | — |
| 278 | C2×C3×D4 | — | 6 | 1 | no | — |
| 279 | C2×C3×D4 | — | 6 | 1 | no | — |
| 280 | C2×C3×D4 | — | 6 | 1 | no | — |
| 281 | C22×C3×C4 | — | 2 | 1 | no | — |
| 282 | C22×C3×C4 | — | 6 | 1 | no | — |
| 283 | C22×C3×C4 | — | 6 | 1 | no | — |
| 284 | C22×C3×C4 | — | 6 | 1 | no | — |
| 285 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 286 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 287 | C2×#67 | — | 2 | 1 | no | — |
| 288 | C2×#67 | — | 2 | 1 | no | — |
| 289 | C2×#67 | — | 2 | 1 | no | — |
| 290 | C2×#67 | — | 6 | 2 | no | — |
| 291 | C2×#67 | — | 6 | 2 | no | — |
| 292 | C22×Dic3 | — | 3 | 2 | no | — |
| 293 | C22×Dic3 | — | 3 | 2 | no | — |
| 294 | C22×Dic3 | — | 6 | 2 | no | — |
| 295 | C22×Dic3 | — | 6 | 2 | no | — |
| 296 | C22×Dic3 | — | 6 | 2 | no | — |
| 297 | D3×Q8 | — | 6 | 4 | no | — |
| 298 | D3×Q8 | — | 6 | 4 | no | — |
| 299 | D3×Q8 | — | 6 | 4 | no | — |
| 300 | D3×Q8 | — | 6 | 4 | no | — |
| 301 | #237 | — | 6 | 4 | no | — |
| 302 | #237 | — | 6 | 4 | no | — |
| 303 | #237 | — | 6 | 4 | no | — |
| 304 | #237 | — | 6 | 4 | no | — |
| 305 | #237 | — | 6 | 8 | no | — |
| 306 | #237 | — | 6 | 8 | no | — |
| 307 | #237 | — | 6 | 8 | no | — |
| 308 | #237 | — | 6 | 8 | no | — |
| 309 | #235 | — | 2 | 1 | no | — |
| 310 | #235 | — | 2 | 1 | no | — |
| 311 | #235 | — | 2 | 1 | no | — |
| 312 | #235 | — | 2 | 1 | no | — |
| 313 | #235 | — | 2 | 1 | no | — |
| 314 | #235 | — | 2 | 1 | no | — |
| 315 | #235 | — | 2 | 1 | no | — |
| 316 | #235 | — | 2 | 1 | no | — |
| 317 | #235 | — | 6 | 4 | no | — |
| 318 | #235 | — | 6 | 4 | no | — |
| 319 | #235 | — | 6 | 4 | no | — |
| 320 | #235 | — | 6 | 4 | no | — |
| 321 | #235 | D12 | 1 | 2 | yes | — |
| 322 | #235 | #67 | 1 | 2 | yes | — |
| 323 | #235 | C22×D3 | 1 | 2 | yes | — |
| 324 | #235 | C22×D3 | 1 | 2 | yes | — |
| 325 | C2×D12 | D12 | 1 | 1 | yes | characteristic |
| 326 | C2×D12 | #67 | 1 | 1 | yes | characteristic |
| 327 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 328 | C2×C4×D3 | — | 2 | 1 | no | — |
| 329 | C2×C4×D3 | — | 2 | 1 | no | — |
| 330 | C2×C4×D3 | — | 2 | 1 | no | — |
| 331 | C2×C4×D3 | — | 6 | 2 | no | — |
| 332 | C2×C4×D3 | — | 6 | 2 | no | — |
| 333 | C2×Dic6 | — | 3 | 2 | no | — |
| 334 | C2×Dic6 | — | 3 | 2 | no | — |
| 335 | C2×Dic6 | — | 3 | 2 | no | — |
| 336 | C2×Dic6 | — | 3 | 2 | no | — |
| 337 | C2×Dic6 | — | 6 | 2 | no | — |
| 338 | C2×Dic6 | — | 6 | 2 | no | — |
| 339 | C2×Dic6 | — | 6 | 4 | no | — |
| 340 | C2×Dic6 | — | 6 | 4 | no | — |
| 341 | C2×Dic6 | — | 6 | 2 | no | — |
| 342 | C2×Dic6 | — | 6 | 2 | no | — |
| 343 | C2×Dic6 | — | 6 | 1 | no | — |
| 344 | C2×Dic6 | — | 6 | 1 | no | — |
| 345 | C2×Dic6 | — | 6 | 1 | no | — |
| 346 | C2×Dic6 | — | 6 | 1 | no | — |
| 347 | C2×Dic6 | — | 6 | 1 | no | — |
| 348 | C2×Dic6 | — | 6 | 1 | no | — |
| 349 | C2×Dic6 | — | 6 | 1 | no | — |
| 350 | C2×Dic6 | — | 6 | 1 | no | — |
| 351 | C2×Dic6 | — | 6 | 4 | no | — |
| 352 | C2×Dic6 | — | 6 | 4 | no | — |
| 353 | C2×Dic6 | — | 12 | 1 | no | — |
| 354 | C2×Dic6 | — | 12 | 1 | no | — |
| 355 | C2×Dic6 | — | 12 | 1 | no | — |
| 356 | C2×Dic6 | — | 12 | 1 | no | — |
| 357 | C2×Dic6 | D12 | 1 | 1 | yes | characteristic |
| 358 | C2×Dic6 | #67 | 1 | 1 | yes | characteristic |
| 359 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 360 | C3×Q16 | — | 6 | 2 | no | — |
| 361 | C3×SD16 | — | 6 | 2 | no | — |
| 362 | C3×SD16 | — | 6 | 2 | no | — |
| 363 | C3×D8 | — | 6 | 2 | no | — |
| 364 | C3×M16 | — | 2 | 1 | no | — |
| 365 | C3×M16 | — | 2 | 1 | no | — |
| 366 | C3×M16 | — | 2 | 2 | no | — |
| 367 | C3×M16 | — | 4 | 1 | no | — |
| 368 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 369 | C3×M16 | C22×D3 | 1 | 2 | yes | — |
| 370 | C2×C3×C8 | — | 2 | 1 | no | — |
| 371 | C2×C3×C8 | — | 2 | 1 | no | — |
| 372 | C2×C3×C8 | — | 4 | 1 | no | — |
| 373 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 374 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 375 | C3×C42 | — | 3 | 2 | no | — |
| 376 | #217 | — | 2 | 1 | no | — |
| 377 | #217 | — | 6 | 4 | no | — |
| 378 | #216 | — | 6 | 2 | no | — |
| 379 | #216 | — | 6 | 2 | no | — |
| 380 | #215 | — | 6 | 2 | no | — |
| 381 | #215 | — | 6 | 2 | no | — |
| 382 | #214 | — | 6 | 2 | no | — |
| 383 | #214 | — | 6 | 2 | no | — |
| 384 | #213 | — | 6 | 2 | no | — |
| 385 | #213 | — | 6 | 2 | no | — |
| 386 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 387 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 388 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 389 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 390 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 391 | #208 | — | 3 | 2 | no | — |
| 392 | #208 | — | 3 | 2 | no | — |
| 393 | #208 | — | 6 | 2 | no | — |
| 394 | #208 | — | 6 | 1 | no | — |
| 395 | #208 | — | 6 | 1 | no | — |
| 396 | #208 | — | 12 | 1 | no | — |
| 397 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 398 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 399 | C2×C3⋊C8 | — | 12 | 1 | no | — |
| 400 | Dic12 | — | 2 | 2 | no | — |
| 401 | D24 | — | 2 | 2 | no | — |
| 402 | #204 | — | 2 | 2 | no | — |
| 403 | #204 | — | 2 | 2 | no | — |
| 404 | C22×C32 | — | 4 | 1 | no | — |
| 405 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 406 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 407 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 408 | C2×C3×D3 | — | 2 | 2 | no | — |
| 409 | C2×C3×D3 | — | 2 | 2 | no | — |
| 410 | C2×C3×D3 | — | 4 | 2 | no | — |
| 411 | C2×C3×D3 | — | 4 | 2 | no | — |
| 412 | C2×C3×D3 | — | 4 | 2 | no | — |
| 413 | C2×C3×D3 | — | 4 | 1 | no | — |
| 414 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 415 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 416 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 417 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 418 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 419 | C3×Dic3 | — | 2 | 2 | no | — |
| 420 | C3×Dic3 | — | 2 | 2 | no | — |
| 421 | C3×Dic3 | — | 4 | 2 | no | — |
| 422 | C3×Dic3 | — | 4 | 1 | no | — |
| 423 | 2−1+4 | — | 9 | 4 | no | — |
| 424 | 2−1+4 | — | 18 | 2 | no | — |
| 425 | 2−1+4 | — | 18 | 2 | no | — |
| 426 | 2−1+4 | — | 18 | 2 | no | — |
| 427 | C2×#41 | — | 3 | 1 | no | — |
| 428 | C2×#41 | — | 3 | 1 | no | — |
| 429 | C2×#41 | — | 3 | 1 | no | — |
| 430 | C2×#41 | — | 18 | 1 | no | — |
| 431 | C2×#41 | — | 18 | 1 | no | — |
| 432 | C2×#41 | — | 18 | 2 | no | — |
| 433 | C22×Q8 | — | 9 | 1 | no | — |
| 434 | C22×Q8 | — | 18 | 1 | no | — |
| 435 | C22×Q8 | — | 18 | 1 | no | — |
| 436 | #137 | — | 3 | 2 | no | — |
| 437 | #137 | — | 6 | 1 | no | — |
| 438 | #137 | — | 9 | 2 | no | — |
| 439 | #137 | — | 18 | 1 | no | — |
| 440 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 441 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 442 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 443 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 444 | #135 | — | 6 | 2 | no | — |
| 445 | #135 | — | 18 | 2 | no | — |
| 446 | C2×M16 | — | 9 | 1 | no | — |
| 447 | C2×M16 | D32 | 1 | 1 | yes | characteristic |
| 448 | C4⋊Q8 | — | 9 | 2 | no | — |
| 449 | #124 | — | 9 | 2 | no | — |
| 450 | #123 | — | 18 | 2 | no | — |
| 451 | C22⋊Q8 | — | 18 | 2 | no | — |
| 452 | #117 | — | 3 | 1 | no | — |
| 453 | #104 | — | 3 | 4 | no | — |
| 454 | #104 | — | 9 | 4 | no | — |
| 455 | #101 | — | 9 | 4 | no | — |
| 456 | C23×C3 | — | 2 | 1 | no | — |
| 457 | C23×C3 | — | 6 | 1 | no | — |
| 458 | C23×C3 | — | 6 | 1 | no | — |
| 459 | C23×C3 | — | 6 | 1 | no | — |
| 460 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 461 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 462 | C22×D3 | — | 2 | 1 | no | — |
| 463 | C22×D3 | — | 2 | 1 | no | — |
| 464 | C22×D3 | — | 2 | 1 | no | — |
| 465 | C3×Q8 | — | 3 | 2 | no | — |
| 466 | C3×Q8 | — | 3 | 2 | no | — |
| 467 | C3×Q8 | — | 6 | 1 | no | — |
| 468 | C3×Q8 | — | 6 | 1 | no | — |
| 469 | C3×Q8 | — | 6 | 1 | no | — |
| 470 | C3×Q8 | — | 6 | 1 | no | — |
| 471 | C3×D4 | — | 3 | 2 | no | — |
| 472 | C3×D4 | — | 3 | 2 | no | — |
| 473 | C3×D4 | — | 6 | 2 | no | — |
| 474 | C3×D4 | — | 6 | 2 | no | — |
| 475 | C3×D4 | — | 6 | 2 | no | — |
| 476 | C3×D4 | — | 6 | 2 | no | — |
| 477 | C3×D4 | — | 6 | 1 | no | — |
| 478 | C3×D4 | — | 6 | 1 | no | — |
| 479 | C3×D4 | — | 6 | 1 | no | — |
| 480 | C3×D4 | — | 6 | 1 | no | — |
| 481 | C3×D4 | — | 12 | 1 | no | — |
| 482 | C3×D4 | — | 12 | 1 | no | — |
| 483 | C2×C3×C4 | — | 2 | 1 | no | — |
| 484 | C2×C3×C4 | — | 2 | 1 | no | — |
| 485 | C2×C3×C4 | — | 2 | 1 | no | — |
| 486 | C2×C3×C4 | — | 2 | 1 | no | — |
| 487 | C2×C3×C4 | — | 2 | 1 | no | — |
| 488 | C2×C3×C4 | — | 2 | 1 | no | — |
| 489 | C2×C3×C4 | — | 6 | 1 | no | — |
| 490 | C2×C3×C4 | — | 6 | 1 | no | — |
| 491 | C2×C3×C4 | — | 6 | 2 | no | — |
| 492 | C2×C3×C4 | — | 6 | 2 | no | — |
| 493 | C2×C3×C4 | — | 6 | 2 | no | — |
| 494 | C2×C3×C4 | — | 6 | 2 | no | — |
| 495 | C2×C3×C4 | — | 6 | 1 | no | — |
| 496 | C2×C3×C4 | — | 6 | 2 | no | — |
| 497 | C2×C3×C4 | — | 12 | 1 | no | — |
| 498 | C2×C3×C4 | — | 12 | 1 | no | — |
| 499 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 500 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 501 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 502 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 503 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 504 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 505 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 506 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 507 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 508 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 509 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 510 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 511 | #67 | — | 2 | 2 | no | — |
| 512 | #67 | — | 2 | 2 | no | — |
| 513 | #67 | — | 2 | 2 | no | — |
| 514 | #67 | — | 2 | 2 | no | — |
| 515 | #67 | — | 4 | 1 | no | — |
| 516 | #67 | — | 4 | 1 | no | — |
| 517 | #67 | — | 6 | 8 | no | — |
| 518 | #67 | — | 6 | 8 | no | — |
| 519 | C2×Dic3 | — | 2 | 1 | no | — |
| 520 | C2×Dic3 | — | 2 | 1 | no | — |
| 521 | C2×Dic3 | — | 2 | 2 | no | — |
| 522 | C2×Dic3 | — | 2 | 1 | no | — |
| 523 | C2×Dic3 | — | 3 | 4 | no | — |
| 524 | C2×Dic3 | — | 3 | 4 | no | — |
| 525 | C2×Dic3 | — | 6 | 4 | no | — |
| 526 | C2×Dic3 | — | 6 | 8 | no | — |
| 527 | C2×Dic3 | — | 6 | 8 | no | — |
| 528 | C2×Dic3 | — | 6 | 2 | no | — |
| 529 | C2×Dic3 | — | 6 | 2 | no | — |
| 530 | C2×Dic3 | — | 6 | 2 | no | — |
| 531 | C2×Dic3 | — | 6 | 2 | no | — |
| 532 | C2×Dic3 | — | 12 | 2 | no | — |
| 533 | C2×Dic3 | — | 12 | 2 | no | — |
| 534 | D12 | — | 2 | 1 | no | — |
| 535 | D12 | — | 2 | 1 | no | — |
| 536 | D12 | — | 2 | 1 | no | — |
| 537 | D12 | — | 2 | 1 | no | — |
| 538 | D12 | C2×D12 | 1 | 2 | yes | — |
| 539 | D12 | C2×#67 | 1 | 2 | yes | — |
| 540 | C4×D3 | — | 2 | 2 | no | — |
| 541 | C4×D3 | — | 2 | 2 | no | — |
| 542 | C4×D3 | — | 2 | 2 | no | — |
| 543 | C4×D3 | — | 2 | 2 | no | — |
| 544 | C4×D3 | — | 4 | 1 | no | — |
| 545 | C4×D3 | — | 4 | 1 | no | — |
| 546 | C4×D3 | — | 6 | 8 | no | — |
| 547 | C4×D3 | — | 6 | 8 | no | — |
| 548 | Dic6 | — | 2 | 1 | no | — |
| 549 | Dic6 | — | 2 | 1 | no | — |
| 550 | Dic6 | — | 2 | 1 | no | — |
| 551 | Dic6 | — | 2 | 1 | no | — |
| 552 | Dic6 | — | 6 | 8 | no | — |
| 553 | Dic6 | — | 6 | 8 | no | — |
| 554 | Dic6 | — | 6 | 2 | no | — |
| 555 | Dic6 | — | 6 | 2 | no | — |
| 556 | Dic6 | — | 6 | 2 | no | — |
| 557 | Dic6 | — | 6 | 2 | no | — |
| 558 | Dic6 | — | 6 | 2 | no | — |
| 559 | Dic6 | — | 6 | 2 | no | — |
| 560 | Dic6 | — | 6 | 2 | no | — |
| 561 | Dic6 | — | 6 | 2 | no | — |
| 562 | Dic6 | — | 12 | 2 | no | — |
| 563 | Dic6 | — | 12 | 2 | no | — |
| 564 | Dic6 | — | 12 | 2 | no | — |
| 565 | Dic6 | — | 12 | 2 | no | — |
| 566 | Dic6 | C2×D12 | 1 | 2 | yes | — |
| 567 | Dic6 | C2×#67 | 1 | 2 | yes | — |
| 568 | C3×C8 | — | 2 | 2 | no | — |
| 569 | C3×C8 | — | 2 | 2 | no | — |
| 570 | C3×C8 | — | 4 | 2 | no | — |
| 571 | C3⋊C8 | — | 6 | 2 | no | — |
| 572 | C3⋊C8 | — | 6 | 2 | no | — |
| 573 | C3⋊C8 | — | 12 | 2 | no | — |
| 574 | C2×C32 | — | 2 | 1 | no | — |
| 575 | C2×C32 | — | 2 | 1 | no | — |
| 576 | C2×C32 | — | 2 | 1 | no | — |
| 577 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 578 | C3×D3 | — | 4 | 2 | no | — |
| 579 | C3×D3 | — | 4 | 2 | no | — |
| 580 | C3×D3 | — | 8 | 1 | no | — |
| 581 | #41 | — | 3 | 2 | no | — |
| 582 | #41 | — | 3 | 2 | no | — |
| 583 | #41 | — | 3 | 2 | no | — |
| 584 | #41 | — | 3 | 2 | no | — |
| 585 | #41 | — | 6 | 1 | no | — |
| 586 | #41 | — | 6 | 1 | no | — |
| 587 | #41 | — | 6 | 1 | no | — |
| 588 | #41 | — | 6 | 1 | no | — |
| 589 | #41 | — | 6 | 1 | no | — |
| 590 | #41 | — | 6 | 1 | no | — |
| 591 | #41 | — | 6 | 1 | no | — |
| 592 | #41 | — | 6 | 1 | no | — |
| 593 | #41 | — | 18 | 4 | no | — |
| 594 | #41 | — | 18 | 4 | no | — |
| 595 | #41 | — | 18 | 4 | no | — |
| 596 | #41 | — | 18 | 4 | no | — |
| 597 | #41 | — | 18 | 8 | no | — |
| 598 | #41 | — | 18 | 8 | no | — |
| 599 | C2×Q8 | — | 3 | 1 | no | — |
| 600 | C2×Q8 | — | 3 | 1 | no | — |
| 601 | C2×Q8 | — | 3 | 1 | no | — |
| 602 | C2×Q8 | — | 9 | 2 | no | — |
| 603 | C2×Q8 | — | 9 | 2 | no | — |
| 604 | C2×Q8 | — | 18 | 2 | no | — |
| 605 | C2×Q8 | — | 18 | 4 | no | — |
| 606 | C2×Q8 | — | 18 | 4 | no | — |
| 607 | C2×Q8 | — | 18 | 4 | no | — |
| 608 | C2×Q8 | — | 18 | 4 | no | — |
| 609 | C2×Q8 | — | 18 | 1 | no | — |
| 610 | C2×Q8 | — | 18 | 1 | no | — |
| 611 | C2×Q8 | — | 18 | 1 | no | — |
| 612 | C2×Q8 | — | 18 | 1 | no | — |
| 613 | C2×D4 | — | 3 | 1 | no | — |
| 614 | C2×D4 | — | 3 | 1 | no | — |
| 615 | C2×D4 | — | 3 | 1 | no | — |
| 616 | C2×D4 | — | 6 | 1 | no | — |
| 617 | C2×D4 | — | 6 | 1 | no | — |
| 618 | C2×D4 | — | 6 | 1 | no | — |
| 619 | C2×D4 | — | 18 | 2 | no | — |
| 620 | C22×C4 | — | 6 | 1 | no | — |
| 621 | C22×C4 | — | 6 | 1 | no | — |
| 622 | C22×C4 | — | 6 | 1 | no | — |
| 623 | C22×C4 | — | 9 | 2 | no | — |
| 624 | C22×C4 | — | 18 | 2 | no | — |
| 625 | C22×C4 | — | 18 | 2 | no | — |
| 626 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 627 | Q16 | — | 6 | 2 | no | — |
| 628 | Q16 | — | 18 | 2 | no | — |
| 629 | SD16 | — | 6 | 2 | no | — |
| 630 | SD16 | — | 6 | 2 | no | — |
| 631 | SD16 | — | 18 | 2 | no | — |
| 632 | SD16 | — | 18 | 2 | no | — |
| 633 | D8 | — | 6 | 2 | no | — |
| 634 | D8 | — | 18 | 2 | no | — |
| 635 | M16 | — | 2 | 1 | no | — |
| 636 | M16 | — | 9 | 2 | no | — |
| 637 | M16 | — | 18 | 1 | no | — |
| 638 | M16 | C2×D32 | 1 | 2 | yes | — |
| 639 | C2×C8 | — | 2 | 1 | no | — |
| 640 | C2×C8 | — | 18 | 1 | no | — |
| 641 | C4⋊C4 | — | 6 | 1 | no | — |
| 642 | C4⋊C4 | — | 18 | 4 | no | — |
| 643 | C22⋊C4 | — | 6 | 1 | no | — |
| 644 | C22⋊C4 | — | 18 | 4 | no | — |
| 645 | C42 | — | 3 | 2 | no | — |
| 646 | C22×C3 | — | 2 | 1 | no | — |
| 647 | C22×C3 | — | 2 | 1 | no | — |
| 648 | C22×C3 | — | 2 | 1 | no | — |
| 649 | C22×C3 | — | 4 | 1 | no | — |
| 650 | C22×C3 | — | 4 | 1 | no | — |
| 651 | C22×C3 | — | 4 | 2 | no | — |
| 652 | C22×C3 | — | 6 | 2 | no | — |
| 653 | C22×C3 | — | 6 | 2 | no | — |
| 654 | C22×C3 | — | 12 | 2 | no | — |
| 655 | C22×C3 | — | 12 | 2 | no | — |
| 656 | C22×C3 | — | 12 | 2 | no | — |
| 657 | C22×C3 | — | 12 | 1 | no | — |
| 658 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 659 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 660 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 661 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 662 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 663 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 664 | C2×D3 | — | 2 | 2 | no | — |
| 665 | C2×D3 | — | 2 | 2 | no | — |
| 666 | C2×D3 | — | 4 | 2 | no | — |
| 667 | C2×D3 | — | 4 | 2 | no | — |
| 668 | C2×D3 | — | 4 | 2 | no | — |
| 669 | C2×D3 | — | 4 | 1 | no | — |
| 670 | C3×C4 | — | 2 | 1 | no | — |
| 671 | C3×C4 | — | 2 | 1 | no | — |
| 672 | C3×C4 | — | 2 | 1 | no | — |
| 673 | C3×C4 | — | 2 | 1 | no | — |
| 674 | C3×C4 | — | 6 | 2 | no | — |
| 675 | C3×C4 | — | 6 | 2 | no | — |
| 676 | C3×C4 | — | 12 | 2 | no | — |
| 677 | C3×C4 | — | 12 | 1 | no | — |
| 678 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 679 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 680 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 681 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 682 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 683 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 684 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 685 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 686 | Dic3 | — | 2 | 2 | no | — |
| 687 | Dic3 | — | 2 | 2 | no | — |
| 688 | Dic3 | — | 4 | 2 | no | — |
| 689 | Dic3 | — | 4 | 1 | no | — |
| 690 | Dic3 | — | 6 | 4 | no | — |
| 691 | Dic3 | — | 6 | 4 | no | — |
| 692 | Dic3 | — | 12 | 4 | no | — |
| 693 | C32 | #3020 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 694 | C23 | — | 6 | 1 | no | — |
| 695 | C23 | — | 6 | 1 | no | — |
| 696 | C23 | — | 6 | 1 | no | — |
| 697 | C23 | #3802 | 1 | 1 | yes | characteristic |
| 698 | Q8 | — | 3 | 2 | no | — |
| 699 | Q8 | — | 3 | 2 | no | — |
| 700 | Q8 | — | 6 | 1 | no | — |
| 701 | Q8 | — | 6 | 1 | no | — |
| 702 | Q8 | — | 6 | 1 | no | — |
| 703 | Q8 | — | 6 | 1 | no | — |
| 704 | Q8 | — | 18 | 8 | no | — |
| 705 | Q8 | — | 18 | 2 | no | — |
| 706 | Q8 | — | 18 | 2 | no | — |
| 707 | Q8 | — | 18 | 2 | no | — |
| 708 | Q8 | — | 18 | 2 | no | — |
| 709 | D4 | — | 3 | 2 | no | — |
| 710 | D4 | — | 3 | 2 | no | — |
| 711 | D4 | — | 6 | 2 | no | — |
| 712 | D4 | — | 6 | 2 | no | — |
| 713 | D4 | — | 6 | 2 | no | — |
| 714 | D4 | — | 6 | 2 | no | — |
| 715 | D4 | — | 6 | 1 | no | — |
| 716 | D4 | — | 6 | 1 | no | — |
| 717 | D4 | — | 6 | 1 | no | — |
| 718 | D4 | — | 6 | 1 | no | — |
| 719 | D4 | — | 12 | 1 | no | — |
| 720 | D4 | — | 12 | 1 | no | — |
| 721 | D4 | — | 18 | 8 | no | — |
| 722 | C2×C4 | — | 6 | 1 | no | — |
| 723 | C2×C4 | — | 6 | 1 | no | — |
| 724 | C2×C4 | — | 6 | 2 | no | — |
| 725 | C2×C4 | — | 6 | 2 | no | — |
| 726 | C2×C4 | — | 6 | 2 | no | — |
| 727 | C2×C4 | — | 6 | 2 | no | — |
| 728 | C2×C4 | — | 6 | 2 | no | — |
| 729 | C2×C4 | — | 6 | 1 | no | — |
| 730 | C2×C4 | — | 9 | 4 | no | — |
| 731 | C2×C4 | — | 12 | 1 | no | — |
| 732 | C2×C4 | — | 12 | 1 | no | — |
| 733 | C2×C4 | — | 18 | 8 | no | — |
| 734 | C2×C4 | — | 18 | 8 | no | — |
| 735 | C2×C4 | — | 18 | 2 | no | — |
| 736 | C2×C4 | — | 18 | 2 | no | — |
| 737 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 738 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 739 | C2×C4 | #3802 | 1 | 1 | yes | characteristic |
| 740 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 741 | C2×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 742 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 743 | C8 | — | 2 | 2 | no | — |
| 744 | C8 | — | 18 | 2 | no | — |
| 745 | C2×C3 | — | 2 | 2 | no | — |
| 746 | C2×C3 | — | 2 | 1 | no | — |
| 747 | C2×C3 | — | 2 | 1 | no | — |
| 748 | C2×C3 | — | 2 | 1 | no | — |
| 749 | C2×C3 | — | 2 | 1 | no | — |
| 750 | C2×C3 | — | 2 | 1 | no | — |
| 751 | C2×C3 | — | 2 | 1 | no | — |
| 752 | C2×C3 | — | 2 | 1 | no | — |
| 753 | C2×C3 | — | 4 | 1 | no | — |
| 754 | C2×C3 | — | 4 | 1 | no | — |
| 755 | C2×C3 | — | 12 | 2 | no | — |
| 756 | C2×C3 | — | 12 | 2 | no | — |
| 757 | C2×C3 | — | 24 | 1 | no | — |
| 758 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 759 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 760 | D3 | — | 4 | 2 | no | — |
| 761 | D3 | — | 4 | 2 | no | — |
| 762 | D3 | — | 8 | 1 | no | — |
| 763 | C22 | — | 4 | 1 | no | — |
| 764 | C22 | — | 6 | 2 | no | — |
| 765 | C22 | — | 6 | 2 | no | — |
| 766 | C22 | — | 12 | 2 | no | — |
| 767 | C22 | — | 12 | 2 | no | — |
| 768 | C22 | — | 12 | 2 | no | — |
| 769 | C22 | — | 12 | 1 | no | — |
| 770 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 771 | C22 | #63922 | 1 | 1 | yes | characteristic |
| 772 | C22 | C2×#3802 | 1 | 1 | yes | characteristic |
| 773 | C4 | — | 6 | 2 | no | — |
| 774 | C4 | — | 6 | 2 | no | — |
| 775 | C4 | — | 12 | 2 | no | — |
| 776 | C4 | — | 12 | 1 | no | — |
| 777 | C4 | — | 18 | 4 | no | — |
| 778 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 779 | C4 | #63922 | 1 | 1 | yes | characteristic |
| 780 | C4 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 781 | C4 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 782 | C3 | — | 2 | 1 | no | — |
| 783 | C3 | #78996 | 1 | 1 | yes | characteristic, complemented |
| 784 | C3 | #84006 | 1 | 1 | yes | characteristic, complemented |
| 785 | C2 | — | 2 | 1 | no | — |
| 786 | C2 | — | 2 | 1 | no | — |
| 787 | C2 | — | 2 | 1 | no | — |
| 788 | C2 | — | 12 | 2 | no | — |
| 789 | C2 | — | 12 | 2 | no | — |
| 790 | C2 | — | 24 | 1 | no | — |
| 791 | C2 | C2×#63922 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64298 | C2 | semidirect |
| 2. C3×#5748 | C2 | semidirect |
| 3. #10594856 | C2 | semidirect |
| 4. #10594786 | C2 | semidirect |
| 5. C2×#63651 | C2 | semidirect |
| 6. C3×#5139 | C2 | semidirect |
| 7. #10591111 | C2 | semidirect |
| 8. #10591019 | C2 | semidirect |
| 9. #10591017 | C2 | semidirect |
| 29. C3×#909 | C22 | semidirect |
| 31. C3×#908 | C22 | semidirect |
| 34. #63866 | C22 | semidirect |
| 35. #63860 | C22 | semidirect |
| 38. #63827 | C22 | semidirect |
| 40. #63823 | C22 | semidirect |
| 42. #63651 | C22 | semidirect |
| 43. C3×#825 | C22 | semidirect |
| 44. #63569 | C22 | semidirect |
| 51. #5748 | D3 | semidirect |
| 57. #5139 | D3 | semidirect |
| 185. #909 | C2×D3 | semidirect |
| 187. #908 | C2×D3 | semidirect |
| 195. #825 | C2×D3 | semidirect |
| 693. C32 | #3020 | semidirect |
| 783. C3 | #78996 | semidirect |
| 784. C3 | #84006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64298 | 2 |
| C3×#5748 | 2 |
| #10594856 | 2 |
| #10594786 | 2 |
| C2×#63651 | 2 |
| C3×#5139 | 2 |
| #10591111 | 2 |
| #10591019 | 2 |
| #10591017 | 2 |
| #84006 | 3 |
| #78996 | 3 |