← #72270219
Subgroups — #72270219
Order 1536.
1552 conjugacy classes of subgroups.
The subgroup lattice has 890 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #11659728 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10948320 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10713731 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10713392 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10712110 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10712071 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10710262 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10710246 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C3×#33329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #495505 | — | 3 | 1 | no | maximal, Sylow |
| 11 | #85836 | C4 | 1 | 1 | yes | characteristic |
| 12 | C3×#3407 | C22 | 1 | 2 | yes | — |
| 13 | C3×#2875 | C22 | 1 | 1 | yes | characteristic |
| 14 | #83794 | C4 | 1 | 1 | yes | characteristic |
| 15 | #83794 | C22 | 1 | 1 | yes | characteristic |
| 16 | #83787 | C4 | 1 | 1 | yes | characteristic |
| 17 | #83787 | C22 | 1 | 1 | yes | characteristic |
| 18 | #82514 | C4 | 1 | 1 | yes | characteristic |
| 19 | #78558 | — | 2 | 2 | no | — |
| 20 | #78558 | — | 2 | 2 | no | — |
| 21 | #78553 | C4 | 1 | 1 | yes | characteristic |
| 22 | #78553 | C22 | 1 | 1 | yes | characteristic |
| 23 | #78543 | C4 | 1 | 1 | yes | characteristic |
| 24 | #78543 | C22 | 1 | 1 | yes | characteristic |
| 25 | #78524 | — | 2 | 2 | no | — |
| 26 | #78520 | C4 | 1 | 1 | yes | characteristic |
| 27 | #78517 | C4 | 1 | 1 | yes | characteristic |
| 28 | #78486 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×D3×#97 | C22 | 1 | 1 | yes | characteristic |
| 30 | #78482 | — | 2 | 2 | no | — |
| 31 | C3×#2110 | — | 2 | 2 | no | — |
| 32 | C3×#2110 | C22 | 1 | 2 | yes | — |
| 33 | C2×C3×#347 | — | 2 | 2 | no | — |
| 34 | C2×C3×#347 | C22 | 1 | 2 | yes | — |
| 35 | #72007 | C22 | 1 | 2 | yes | — |
| 36 | #71437 | C22 | 1 | 4 | yes | — |
| 37 | #71431 | C22 | 1 | 4 | yes | — |
| 38 | #69886 | — | 2 | 2 | no | — |
| 39 | #69885 | C22 | 1 | 2 | yes | — |
| 40 | #69864 | — | 2 | 2 | no | — |
| 41 | C2×#4466 | C22 | 1 | 2 | yes | — |
| 42 | #67813 | C22 | 1 | 4 | yes | — |
| 43 | #67811 | C22 | 1 | 4 | yes | — |
| 44 | #60207 | — | 3 | 1 | no | — |
| 45 | #33426 | — | 3 | 1 | no | — |
| 46 | #33329 | D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | #13269 | — | 3 | 2 | no | — |
| 48 | #13200 | — | 3 | 2 | no | — |
| 49 | #12988 | — | 3 | 2 | no | — |
| 50 | #12981 | — | 3 | 2 | no | — |
| 51 | #12609 | — | 3 | 2 | no | — |
| 52 | #12605 | — | 3 | 2 | no | — |
| 53 | C2×C3×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C2×C3×#131 | C23 | 1 | 1 | yes | characteristic |
| 55 | C3×C4×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | #5832 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | #5828 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C2×#901 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C2×#901 | C23 | 1 | 1 | yes | characteristic |
| 60 | C22×D3×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C22×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 62 | #5580 | — | 2 | 1 | no | — |
| 63 | #5578 | — | 2 | 1 | no | — |
| 64 | #5557 | — | 2 | 1 | no | — |
| 65 | #5548 | — | 2 | 1 | no | — |
| 66 | #5547 | — | 2 | 2 | no | — |
| 67 | #5538 | — | 2 | 2 | no | — |
| 68 | #5528 | — | 2 | 2 | no | — |
| 69 | #5524 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | #5517 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C4×#235 | — | 2 | 2 | no | — |
| 72 | C4×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C2×C42×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C3×#504 | — | 2 | 8 | no | — |
| 75 | C2×C3×M32 | — | 2 | 4 | no | — |
| 76 | C2×C3×M32 | C23 | 1 | 4 | yes | — |
| 77 | C3×#405 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | C3×#405 | D4 | 1 | 2 | yes | — |
| 79 | C3×#405 | D4 | 1 | 2 | yes | — |
| 80 | C3×#405 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×C4×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | C3×C4×M16 | D4 | 1 | 2 | yes | — |
| 83 | C2×C3×#97 | D4 | 1 | 2 | yes | — |
| 84 | C2×C3×#97 | C23 | 1 | 1 | yes | characteristic |
| 85 | #5234 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #5234 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | #5129 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #5129 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | #5127 | — | 2 | 2 | no | — |
| 90 | #5127 | — | 2 | 2 | no | — |
| 91 | #5127 | — | 2 | 2 | no | — |
| 92 | #5127 | — | 2 | 2 | no | — |
| 93 | #5126 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | #5126 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | #5119 | C2×C4 | 1 | 1 | yes | characteristic |
| 96 | #5119 | C2×C4 | 1 | 1 | yes | characteristic |
| 97 | #5118 | C2×C4 | 1 | 1 | yes | characteristic |
| 98 | #5118 | C2×C4 | 1 | 1 | yes | characteristic |
| 99 | #5111 | — | 2 | 2 | no | — |
| 100 | #5111 | — | 2 | 2 | no | — |
| 101 | C8×#67 | — | 2 | 2 | no | — |
| 102 | C8×#67 | — | 2 | 2 | no | — |
| 103 | #5101 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | #5101 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×#815 | C2×C4 | 1 | 1 | yes | characteristic |
| 106 | C2×#815 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×#812 | C23 | 1 | 4 | yes | — |
| 108 | #5000 | — | 2 | 2 | no | — |
| 109 | #4999 | C2×C4 | 1 | 1 | yes | characteristic |
| 110 | #4999 | C2×C4 | 1 | 1 | yes | characteristic |
| 111 | #4926 | — | 2 | 2 | no | — |
| 112 | C4×#208 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | C2×#803 | C2×C4 | 1 | 1 | yes | characteristic |
| 114 | #4708 | — | 2 | 1 | no | — |
| 115 | #4708 | — | 2 | 1 | no | — |
| 116 | #4707 | — | 2 | 1 | no | — |
| 117 | #4706 | — | 2 | 2 | no | — |
| 118 | #4706 | — | 2 | 2 | no | — |
| 119 | #4705 | — | 2 | 2 | no | — |
| 120 | #4705 | — | 2 | 2 | no | — |
| 121 | D3×#97 | — | 2 | 1 | no | — |
| 122 | D3×#97 | — | 2 | 1 | no | — |
| 123 | D3×#97 | — | 2 | 1 | no | — |
| 124 | D3×#97 | — | 2 | 1 | no | — |
| 125 | D3×#97 | — | 2 | 1 | no | — |
| 126 | #4701 | — | 2 | 2 | no | — |
| 127 | #4701 | — | 2 | 2 | no | — |
| 128 | #4690 | — | 2 | 2 | no | — |
| 129 | C8×D12 | — | 2 | 2 | no | — |
| 130 | C8×D12 | — | 2 | 2 | no | — |
| 131 | #4685 | — | 2 | 2 | no | — |
| 132 | #4679 | — | 2 | 2 | no | — |
| 133 | #4679 | — | 2 | 2 | no | — |
| 134 | C3×#347 | — | 2 | 2 | no | — |
| 135 | C3×#347 | — | 2 | 4 | no | — |
| 136 | C3×#347 | — | 2 | 2 | no | — |
| 137 | #4553 | — | 2 | 4 | no | — |
| 138 | #4508 | — | 2 | 8 | no | — |
| 139 | (C2×D3)⋊C16 | — | 2 | 8 | no | — |
| 140 | #4466 | — | 2 | 2 | no | — |
| 141 | #4466 | — | 2 | 2 | no | — |
| 142 | #4463 | — | 2 | 4 | no | — |
| 143 | #3444 | — | 3 | 1 | no | — |
| 144 | #3407 | C2×D3 | 1 | 2 | yes | — |
| 145 | #2970 | — | 6 | 2 | no | — |
| 146 | #2970 | — | 6 | 2 | no | — |
| 147 | #2968 | — | 6 | 2 | no | — |
| 148 | #2968 | — | 6 | 2 | no | — |
| 149 | #2961 | — | 3 | 1 | no | — |
| 150 | #2961 | — | 3 | 1 | no | — |
| 151 | #2932 | — | 3 | 1 | no | — |
| 152 | #2932 | — | 3 | 1 | no | — |
| 153 | #2929 | — | 3 | 1 | no | — |
| 154 | #2929 | — | 3 | 1 | no | — |
| 155 | #2929 | — | 3 | 1 | no | — |
| 156 | #2929 | — | 3 | 1 | no | — |
| 157 | #2923 | — | 3 | 1 | no | — |
| 158 | #2923 | — | 3 | 1 | no | — |
| 159 | #2920 | — | 3 | 1 | no | — |
| 160 | #2875 | — | 3 | 1 | no | — |
| 161 | #2875 | C2×D3 | 1 | 1 | yes | characteristic |
| 162 | C22×#97 | — | 3 | 1 | no | — |
| 163 | #2166 | — | 6 | 2 | no | — |
| 164 | #2165 | — | 6 | 2 | no | — |
| 165 | #2153 | — | 3 | 2 | no | — |
| 166 | #2117 | — | 3 | 4 | no | — |
| 167 | #2115 | — | 3 | 2 | no | — |
| 168 | #2112 | — | 3 | 4 | no | — |
| 169 | #2110 | — | 2 | 2 | no | — |
| 170 | #2110 | C2×D3 | 1 | 2 | yes | — |
| 171 | C2×#347 | — | 2 | 2 | no | — |
| 172 | C2×#347 | — | 3 | 2 | no | — |
| 173 | C2×#347 | C2×D3 | 1 | 2 | yes | — |
| 174 | #1378 | — | 3 | 4 | no | — |
| 175 | #1375 | — | 3 | 4 | no | — |
| 176 | C2×C3×#41 | C22×C4 | 1 | 1 | yes | characteristic |
| 177 | C2×#235 | — | 2 | 2 | no | — |
| 178 | C2×#235 | C22×C4 | 1 | 1 | yes | characteristic |
| 179 | C22×C4×D3 | — | 2 | 1 | no | — |
| 180 | C22×C4×D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 181 | C3×#131 | — | 2 | 4 | no | — |
| 182 | C3×#131 | — | 4 | 2 | no | — |
| 183 | C2×C3×M16 | C22⋊C4 | 1 | 2 | yes | — |
| 184 | C2×C3×M16 | C22×C4 | 1 | 1 | yes | characteristic |
| 185 | C2×C3×M16 | C22×C4 | 1 | 1 | yes | characteristic |
| 186 | C2×C3×M16 | C2×D4 | 1 | 2 | yes | — |
| 187 | C22×C3×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 188 | C22×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | C22×C3×C8 | C2×D4 | 1 | 2 | yes | — |
| 190 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 191 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 192 | C3×C4×D4 | — | 2 | 2 | no | — |
| 193 | C3×C4×D4 | — | 2 | 1 | no | — |
| 194 | C3×#117 | C22⋊C4 | 1 | 2 | yes | — |
| 195 | C3×#117 | C22×C4 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×C42 | C22⋊C4 | 1 | 2 | yes | — |
| 197 | C2×C3×C42 | C22×C4 | 1 | 1 | yes | characteristic |
| 198 | #947 | M16 | 1 | 1 | yes | characteristic |
| 199 | #946 | — | 2 | 1 | no | — |
| 200 | #944 | M16 | 1 | 1 | yes | characteristic |
| 201 | #940 | M16 | 1 | 1 | yes | characteristic |
| 202 | #939 | — | 2 | 2 | no | — |
| 203 | #938 | — | 2 | 1 | no | — |
| 204 | #937 | M16 | 1 | 2 | yes | — |
| 205 | #936 | M16 | 1 | 1 | yes | characteristic |
| 206 | #935 | M16 | 1 | 2 | yes | — |
| 207 | C4×#67 | — | 2 | 2 | no | — |
| 208 | C4×#67 | — | 2 | 2 | no | — |
| 209 | C4×#67 | — | 2 | 2 | no | — |
| 210 | C4×#67 | — | 2 | 2 | no | — |
| 211 | C4×#67 | — | 2 | 2 | no | — |
| 212 | #926 | — | 2 | 2 | no | — |
| 213 | #926 | C22×C4 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 215 | C2×C4×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 216 | C2×#208 | C22×C4 | 1 | 1 | yes | characteristic |
| 217 | C2×#208 | C22×C4 | 1 | 1 | yes | characteristic |
| 218 | C22×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 219 | C22×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 220 | #901 | — | 2 | 4 | no | — |
| 221 | #901 | — | 4 | 2 | no | — |
| 222 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 223 | C2×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 224 | C2×D3×C8 | — | 2 | 1 | no | — |
| 225 | C2×D3×C8 | — | 2 | 1 | no | — |
| 226 | C2×D3×C8 | — | 2 | 1 | no | — |
| 227 | C2×D3×C8 | — | 2 | 1 | no | — |
| 228 | C2×D3×C8 | — | 2 | 1 | no | — |
| 229 | C2×D3×C8 | — | 2 | 1 | no | — |
| 230 | C2×D3×C8 | — | 2 | 4 | no | — |
| 231 | C2×D3×C8 | — | 4 | 2 | no | — |
| 232 | #898 | — | 2 | 2 | no | — |
| 233 | #897 | — | 2 | 1 | no | — |
| 234 | #896 | — | 2 | 2 | no | — |
| 235 | #895 | — | 2 | 1 | no | — |
| 236 | #894 | — | 2 | 2 | no | — |
| 237 | #890 | — | 2 | 1 | no | — |
| 238 | #889 | — | 2 | 2 | no | — |
| 239 | #888 | — | 2 | 1 | no | — |
| 240 | #886 | — | 2 | 1 | no | — |
| 241 | #885 | — | 2 | 2 | no | — |
| 242 | #884 | — | 2 | 2 | no | — |
| 243 | #883 | — | 2 | 2 | no | — |
| 244 | #882 | — | 2 | 1 | no | — |
| 245 | #879 | — | 2 | 2 | no | — |
| 246 | #878 | — | 2 | 2 | no | — |
| 247 | C4×D12 | — | 2 | 2 | no | — |
| 248 | C4×D12 | — | 2 | 1 | no | — |
| 249 | C4×D12 | — | 2 | 2 | no | — |
| 250 | #872 | — | 2 | 2 | no | — |
| 251 | #872 | — | 2 | 2 | no | — |
| 252 | #872 | — | 2 | 1 | no | — |
| 253 | C42×D3 | — | 2 | 1 | no | — |
| 254 | C42×D3 | — | 2 | 1 | no | — |
| 255 | C42×D3 | — | 2 | 1 | no | — |
| 256 | C42×D3 | — | 2 | 1 | no | — |
| 257 | C42×D3 | — | 2 | 1 | no | — |
| 258 | C4×Dic6 | — | 2 | 2 | no | — |
| 259 | C4×Dic6 | — | 2 | 1 | no | — |
| 260 | C4×Dic6 | — | 2 | 2 | no | — |
| 261 | C3×M32 | — | 2 | 8 | no | — |
| 262 | C3×M32 | — | 2 | 4 | no | — |
| 263 | C3×M32 | — | 2 | 4 | no | — |
| 264 | C2×C3×C16 | — | 2 | 8 | no | — |
| 265 | C2×C3×C16 | #41 | 1 | 8 | yes | complemented |
| 266 | C3×#97 | C22⋊C4 | 1 | 2 | yes | — |
| 267 | C3×#97 | C22⋊C4 | 1 | 2 | yes | — |
| 268 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 270 | C3×#97 | C2×D4 | 1 | 2 | yes | — |
| 271 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C3×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C3×C4×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 274 | C3×C4×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 275 | C3×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 276 | #830 | — | 2 | 2 | no | — |
| 277 | #830 | — | 2 | 2 | no | — |
| 278 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 279 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 280 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 281 | (C2×D3)⋊C8 | — | 2 | 2 | no | — |
| 282 | #815 | — | 2 | 1 | no | — |
| 283 | #815 | — | 2 | 1 | no | — |
| 284 | #815 | — | 2 | 1 | no | — |
| 285 | #815 | — | 2 | 1 | no | — |
| 286 | #815 | — | 2 | 1 | no | — |
| 287 | #815 | — | 2 | 1 | no | — |
| 288 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 289 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 290 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 291 | Dic3⋊C8 | — | 2 | 2 | no | — |
| 292 | C8×Dic3 | — | 2 | 1 | no | — |
| 293 | C8×Dic3 | — | 2 | 1 | no | — |
| 294 | #812 | — | 2 | 4 | no | — |
| 295 | #812 | — | 2 | 4 | no | — |
| 296 | C2×C3⋊C16 | — | 2 | 4 | no | — |
| 297 | C4⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 298 | C4⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 299 | #803 | — | 2 | 1 | no | — |
| 300 | #803 | — | 2 | 1 | no | — |
| 301 | #803 | — | 2 | 1 | no | — |
| 302 | C4×C3⋊C8 | — | 2 | 1 | no | — |
| 303 | C2×#131 | — | 3 | 1 | no | — |
| 304 | C2×#131 | — | 3 | 1 | no | — |
| 305 | C2×#131 | C4×D3 | 1 | 1 | yes | characteristic |
| 306 | C2×#131 | C22×D3 | 1 | 1 | yes | characteristic |
| 307 | C23×C8 | — | 3 | 1 | no | — |
| 308 | C23×C8 | — | 3 | 1 | no | — |
| 309 | #533 | — | 3 | 1 | no | — |
| 310 | #533 | — | 6 | 1 | no | — |
| 311 | #532 | — | 3 | 1 | no | — |
| 312 | #532 | — | 6 | 1 | no | — |
| 313 | #529 | — | 6 | 2 | no | — |
| 314 | #529 | — | 6 | 1 | no | — |
| 315 | #529 | — | 6 | 1 | no | — |
| 316 | #529 | — | 6 | 2 | no | — |
| 317 | #525 | — | 3 | 1 | no | — |
| 318 | #525 | — | 3 | 1 | no | — |
| 319 | #525 | — | 6 | 2 | no | — |
| 320 | C4×#41 | — | 3 | 1 | no | — |
| 321 | C4×#41 | — | 6 | 2 | no | — |
| 322 | C4×#41 | C4×D3 | 1 | 1 | yes | characteristic |
| 323 | C22×C42 | — | 3 | 1 | no | — |
| 324 | #504 | — | 2 | 8 | no | — |
| 325 | C2×M32 | — | 2 | 4 | no | — |
| 326 | C2×M32 | — | 3 | 4 | no | — |
| 327 | C2×M32 | C22×D3 | 1 | 4 | yes | — |
| 328 | #446 | — | 6 | 2 | no | — |
| 329 | #446 | — | 6 | 2 | no | — |
| 330 | #446 | — | 6 | 2 | no | — |
| 331 | #446 | — | 6 | 2 | no | — |
| 332 | #435 | — | 6 | 2 | no | — |
| 333 | #435 | — | 6 | 2 | no | — |
| 334 | #435 | — | 6 | 2 | no | — |
| 335 | #435 | — | 6 | 2 | no | — |
| 336 | #435 | — | 6 | 2 | no | — |
| 337 | #435 | — | 6 | 2 | no | — |
| 338 | #435 | — | 6 | 2 | no | — |
| 339 | #435 | — | 6 | 2 | no | — |
| 340 | C8×D4 | — | 6 | 2 | no | — |
| 341 | C8×D4 | — | 6 | 2 | no | — |
| 342 | C8×D4 | — | 6 | 2 | no | — |
| 343 | C8×D4 | — | 6 | 2 | no | — |
| 344 | #433 | — | 6 | 2 | no | — |
| 345 | #433 | — | 6 | 2 | no | — |
| 346 | #432 | — | 6 | 2 | no | — |
| 347 | #432 | — | 6 | 2 | no | — |
| 348 | #432 | — | 6 | 2 | no | — |
| 349 | #431 | — | 6 | 2 | no | — |
| 350 | #424 | — | 3 | 1 | no | — |
| 351 | #424 | — | 3 | 1 | no | — |
| 352 | #424 | — | 3 | 1 | no | — |
| 353 | #424 | — | 3 | 1 | no | — |
| 354 | #423 | — | 3 | 1 | no | — |
| 355 | #423 | — | 3 | 1 | no | — |
| 356 | #408 | — | 3 | 1 | no | — |
| 357 | #408 | — | 3 | 1 | no | — |
| 358 | #408 | — | 3 | 1 | no | — |
| 359 | #408 | — | 3 | 1 | no | — |
| 360 | #407 | — | 3 | 1 | no | — |
| 361 | #407 | — | 3 | 1 | no | — |
| 362 | #405 | — | 3 | 1 | no | — |
| 363 | #405 | — | 3 | 1 | no | — |
| 364 | #405 | — | 6 | 1 | no | — |
| 365 | #405 | — | 6 | 1 | no | — |
| 366 | #405 | C4×D3 | 1 | 1 | yes | characteristic |
| 367 | #405 | D12 | 1 | 2 | yes | — |
| 368 | #405 | #67 | 1 | 2 | yes | — |
| 369 | #405 | C22×D3 | 1 | 1 | yes | characteristic |
| 370 | C4×M16 | — | 3 | 1 | no | — |
| 371 | C4×M16 | — | 6 | 1 | no | — |
| 372 | C4×M16 | C4×D3 | 1 | 1 | yes | characteristic |
| 373 | C4×M16 | D12 | 1 | 2 | yes | — |
| 374 | C2×#97 | — | 3 | 1 | no | — |
| 375 | C2×#97 | — | 3 | 1 | no | — |
| 376 | C2×#97 | — | 3 | 1 | no | — |
| 377 | C2×#97 | — | 6 | 1 | no | — |
| 378 | C2×#97 | — | 6 | 1 | no | — |
| 379 | C2×#97 | — | 6 | 1 | no | — |
| 380 | C2×#97 | — | 6 | 1 | no | — |
| 381 | C2×#97 | — | 6 | 1 | no | — |
| 382 | C2×#97 | #67 | 1 | 2 | yes | — |
| 383 | C2×#97 | C22×D3 | 1 | 1 | yes | characteristic |
| 384 | #364 | — | 6 | 4 | no | — |
| 385 | #350 | — | 6 | 8 | no | — |
| 386 | #349 | — | 6 | 4 | no | — |
| 387 | C22⋊C16 | — | 6 | 8 | no | — |
| 388 | #347 | — | 2 | 2 | no | — |
| 389 | #347 | — | 2 | 4 | no | — |
| 390 | #347 | — | 2 | 2 | no | — |
| 391 | #347 | — | 6 | 2 | no | — |
| 392 | #347 | — | 6 | 2 | no | — |
| 393 | C23×D3 | C2×M16 | 1 | 1 | yes | characteristic |
| 394 | C3×#41 | — | 2 | 2 | no | — |
| 395 | C3×#41 | — | 2 | 2 | no | — |
| 396 | C2×C3×Q8 | C2×M16 | 1 | 1 | yes | characteristic |
| 397 | C2×C3×D4 | C2×M16 | 1 | 1 | yes | characteristic |
| 398 | C2×C3×D4 | C2×M16 | 1 | 2 | yes | — |
| 399 | C22×C3×C4 | — | 2 | 1 | no | — |
| 400 | C22×C3×C4 | — | 2 | 2 | no | — |
| 401 | C22×C3×C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 402 | C22×C3×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 403 | C2×#67 | — | 2 | 1 | no | — |
| 404 | C2×#67 | — | 2 | 2 | no | — |
| 405 | C2×#67 | — | 2 | 2 | no | — |
| 406 | C22×Dic3 | — | 2 | 1 | no | — |
| 407 | C22×Dic3 | C2×M16 | 1 | 1 | yes | characteristic |
| 408 | #235 | — | 2 | 2 | no | — |
| 409 | #235 | — | 2 | 2 | no | — |
| 410 | #235 | — | 8 | 4 | no | — |
| 411 | C2×D12 | — | 2 | 2 | no | — |
| 412 | C2×D12 | C2×M16 | 1 | 1 | yes | characteristic |
| 413 | C2×C4×D3 | — | 2 | 1 | no | — |
| 414 | C2×C4×D3 | — | 2 | 1 | no | — |
| 415 | C2×C4×D3 | — | 2 | 1 | no | — |
| 416 | C2×C4×D3 | — | 2 | 1 | no | — |
| 417 | C2×C4×D3 | — | 2 | 2 | no | — |
| 418 | C2×C4×D3 | — | 2 | 1 | no | — |
| 419 | C2×C4×D3 | — | 2 | 2 | no | — |
| 420 | C2×C4×D3 | — | 2 | 1 | no | — |
| 421 | C2×C4×D3 | — | 2 | 1 | no | — |
| 422 | C2×C4×D3 | — | 2 | 2 | no | — |
| 423 | C2×C4×D3 | — | 8 | 2 | no | — |
| 424 | C2×Dic6 | — | 2 | 2 | no | — |
| 425 | C2×Dic6 | C2×M16 | 1 | 1 | yes | characteristic |
| 426 | C3×M16 | — | 2 | 2 | no | — |
| 427 | C3×M16 | — | 2 | 2 | no | — |
| 428 | C3×M16 | — | 2 | 4 | no | — |
| 429 | C3×M16 | — | 4 | 2 | no | — |
| 430 | C2×C3×C8 | — | 2 | 2 | no | — |
| 431 | C2×C3×C8 | — | 2 | 4 | no | — |
| 432 | C2×C3×C8 | — | 4 | 2 | no | — |
| 433 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 434 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 435 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 436 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 437 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 439 | C2×C3×C8 | C2×#41 | 1 | 4 | yes | — |
| 440 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 441 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 442 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 443 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 444 | C3×C42 | — | 2 | 1 | no | — |
| 445 | C3×C42 | — | 2 | 2 | no | — |
| 446 | C3×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 447 | C3×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 448 | C3×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 449 | #217 | — | 2 | 2 | no | — |
| 450 | #217 | — | 2 | 2 | no | — |
| 451 | #217 | C2×M16 | 1 | 2 | yes | — |
| 452 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 453 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 454 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 455 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 456 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 457 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 458 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 459 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 460 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 461 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 462 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 463 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 464 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 465 | C4×Dic3 | — | 2 | 1 | no | — |
| 466 | C4×Dic3 | — | 2 | 2 | no | — |
| 467 | C4×Dic3 | — | 2 | 1 | no | — |
| 468 | C4×Dic3 | — | 2 | 1 | no | — |
| 469 | C4×Dic3 | — | 2 | 1 | no | — |
| 470 | C4×Dic3 | — | 2 | 1 | no | — |
| 471 | C4×Dic3 | — | 2 | 1 | no | — |
| 472 | C4×Dic3 | C2×M16 | 1 | 1 | yes | characteristic |
| 473 | C4×Dic3 | C2×M16 | 1 | 1 | yes | characteristic |
| 474 | #208 | — | 2 | 2 | no | — |
| 475 | #208 | — | 2 | 2 | no | — |
| 476 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 477 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 478 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 479 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 480 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 481 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 482 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 483 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 484 | D3×C8 | — | 4 | 2 | no | — |
| 485 | D3×C8 | — | 4 | 2 | no | — |
| 486 | D3×C8 | — | 4 | 2 | no | — |
| 487 | D3×C8 | — | 4 | 2 | no | — |
| 488 | D3×C8 | — | 4 | 2 | no | — |
| 489 | D3×C8 | — | 4 | 2 | no | — |
| 490 | C3×C16 | — | 2 | 8 | no | — |
| 491 | C3⋊C16 | — | 4 | 4 | no | — |
| 492 | C2×#41 | — | 3 | 1 | no | — |
| 493 | C2×#41 | — | 6 | 2 | no | — |
| 494 | C2×#41 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 495 | C23×C4 | — | 3 | 1 | no | — |
| 496 | C23×C4 | — | 6 | 1 | no | — |
| 497 | #131 | — | 2 | 4 | no | — |
| 498 | #131 | — | 4 | 2 | no | — |
| 499 | #131 | — | 6 | 4 | no | — |
| 500 | #131 | — | 12 | 2 | no | — |
| 501 | C2×M16 | — | 3 | 1 | no | — |
| 502 | C2×M16 | — | 3 | 1 | no | — |
| 503 | C2×M16 | — | 6 | 1 | no | — |
| 504 | C2×M16 | — | 6 | 1 | no | — |
| 505 | C2×M16 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 506 | C2×M16 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 507 | C2×M16 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 508 | C2×M16 | C2×D12 | 1 | 2 | yes | — |
| 509 | C22×C8 | — | 3 | 1 | no | — |
| 510 | C22×C8 | — | 3 | 1 | no | — |
| 511 | C22×C8 | — | 6 | 1 | no | — |
| 512 | C22×C8 | — | 6 | 1 | no | — |
| 513 | C22×C8 | — | 6 | 1 | no | — |
| 514 | C22×C8 | — | 6 | 1 | no | — |
| 515 | C22×C8 | — | 6 | 1 | no | — |
| 516 | C22×C8 | — | 6 | 4 | no | — |
| 517 | C22×C8 | — | 6 | 1 | no | — |
| 518 | C22×C8 | — | 12 | 2 | no | — |
| 519 | C22×C8 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 520 | C22×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 521 | C22×C8 | C2×#67 | 1 | 2 | yes | — |
| 522 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 523 | C4⋊Q8 | — | 3 | 1 | no | — |
| 524 | C4⋊Q8 | — | 6 | 1 | no | — |
| 525 | #127 | — | 3 | 1 | no | — |
| 526 | #126 | — | 6 | 2 | no | — |
| 527 | #126 | — | 6 | 2 | no | — |
| 528 | #125 | — | 6 | 1 | no | — |
| 529 | #125 | — | 6 | 2 | no | — |
| 530 | #124 | — | 3 | 1 | no | — |
| 531 | #124 | — | 3 | 1 | no | — |
| 532 | #124 | — | 6 | 2 | no | — |
| 533 | #123 | — | 3 | 2 | no | — |
| 534 | #123 | — | 6 | 1 | no | — |
| 535 | #123 | — | 6 | 2 | no | — |
| 536 | #123 | — | 6 | 2 | no | — |
| 537 | C22⋊Q8 | — | 6 | 2 | no | — |
| 538 | C22⋊Q8 | — | 6 | 1 | no | — |
| 539 | C22⋊Q8 | — | 6 | 2 | no | — |
| 540 | C22⋊Q8 | — | 6 | 1 | no | — |
| 541 | #121 | — | 6 | 2 | no | — |
| 542 | #121 | — | 6 | 1 | no | — |
| 543 | #121 | — | 6 | 1 | no | — |
| 544 | #121 | — | 6 | 2 | no | — |
| 545 | #120 | — | 3 | 2 | no | — |
| 546 | #120 | — | 6 | 1 | no | — |
| 547 | C4×Q8 | — | 2 | 1 | no | — |
| 548 | C4×Q8 | — | 6 | 1 | no | — |
| 549 | C4×Q8 | — | 6 | 2 | no | — |
| 550 | C4×Q8 | — | 6 | 2 | no | — |
| 551 | C4×D4 | — | 2 | 2 | no | — |
| 552 | C4×D4 | — | 2 | 1 | no | — |
| 553 | C4×D4 | — | 6 | 1 | no | — |
| 554 | C4×D4 | — | 6 | 2 | no | — |
| 555 | C4×D4 | — | 6 | 2 | no | — |
| 556 | C4×D4 | — | 6 | 2 | no | — |
| 557 | C4×D4 | — | 6 | 2 | no | — |
| 558 | C4×D4 | — | 6 | 2 | no | — |
| 559 | C4×D4 | — | 6 | 2 | no | — |
| 560 | C4×D4 | — | 6 | 2 | no | — |
| 561 | #117 | — | 3 | 1 | no | — |
| 562 | #117 | — | 6 | 2 | no | — |
| 563 | #117 | — | 6 | 2 | no | — |
| 564 | #117 | — | 6 | 2 | no | — |
| 565 | #117 | — | 6 | 1 | no | — |
| 566 | #117 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 567 | #117 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 568 | C2×C42 | — | 3 | 1 | no | — |
| 569 | C2×C42 | — | 6 | 1 | no | — |
| 570 | C2×C42 | — | 6 | 1 | no | — |
| 571 | C2×C42 | — | 6 | 1 | no | — |
| 572 | C2×C42 | — | 6 | 1 | no | — |
| 573 | C2×C42 | — | 6 | 1 | no | — |
| 574 | C2×C42 | — | 6 | 1 | no | — |
| 575 | C2×C42 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 576 | C2×C42 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 577 | M32 | — | 2 | 8 | no | — |
| 578 | M32 | — | 2 | 4 | no | — |
| 579 | M32 | — | 2 | 4 | no | — |
| 580 | M32 | — | 6 | 4 | no | — |
| 581 | M32 | — | 6 | 4 | no | — |
| 582 | C2×C16 | — | 2 | 8 | no | — |
| 583 | C2×C16 | — | 6 | 4 | no | — |
| 584 | C2×C16 | #235 | 1 | 8 | yes | complemented |
| 585 | C4⋊C8 | — | 6 | 2 | no | — |
| 586 | C4⋊C8 | — | 6 | 2 | no | — |
| 587 | C4⋊C8 | — | 6 | 2 | no | — |
| 588 | C4⋊C8 | — | 6 | 2 | no | — |
| 589 | C4⋊C8 | — | 6 | 2 | no | — |
| 590 | C4⋊C8 | — | 6 | 2 | no | — |
| 591 | C22⋊C8 | — | 6 | 2 | no | — |
| 592 | C22⋊C8 | — | 6 | 2 | no | — |
| 593 | C22⋊C8 | — | 6 | 2 | no | — |
| 594 | C22⋊C8 | — | 6 | 2 | no | — |
| 595 | C22⋊C8 | — | 6 | 2 | no | — |
| 596 | C22⋊C8 | — | 6 | 2 | no | — |
| 597 | #97 | — | 6 | 1 | no | — |
| 598 | #97 | — | 6 | 1 | no | — |
| 599 | #97 | — | 6 | 1 | no | — |
| 600 | #97 | — | 6 | 1 | no | — |
| 601 | #97 | — | 6 | 1 | no | — |
| 602 | #97 | — | 6 | 1 | no | — |
| 603 | #97 | — | 6 | 1 | no | — |
| 604 | #97 | — | 6 | 1 | no | — |
| 605 | #97 | — | 6 | 1 | no | — |
| 606 | #97 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 607 | #97 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 608 | #97 | C2×D12 | 1 | 1 | yes | characteristic |
| 609 | #97 | C2×D12 | 1 | 1 | yes | characteristic |
| 610 | #97 | C2×#67 | 1 | 1 | yes | characteristic |
| 611 | #97 | C2×#67 | 1 | 1 | yes | characteristic |
| 612 | #97 | C2×#67 | 1 | 2 | yes | — |
| 613 | C4×C8 | — | 6 | 1 | no | — |
| 614 | C4×C8 | — | 6 | 1 | no | — |
| 615 | C4×C8 | — | 6 | 1 | no | — |
| 616 | C4×C8 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 617 | C4×C8 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 618 | C4×C8 | C2×D12 | 1 | 2 | yes | — |
| 619 | C23×C3 | #407 | 1 | 2 | yes | — |
| 620 | C23×C3 | C22×M16 | 1 | 1 | yes | characteristic |
| 621 | C22×D3 | — | 2 | 1 | no | — |
| 622 | C22×D3 | — | 2 | 2 | no | — |
| 623 | C22×D3 | — | 2 | 1 | no | — |
| 624 | C22×D3 | — | 4 | 2 | no | — |
| 625 | C3×Q8 | — | 2 | 2 | no | — |
| 626 | C3×D4 | — | 2 | 4 | no | — |
| 627 | C3×D4 | — | 2 | 2 | no | — |
| 628 | C2×C3×C4 | — | 2 | 2 | no | — |
| 629 | C2×C3×C4 | — | 2 | 2 | no | — |
| 630 | C2×C3×C4 | — | 2 | 1 | no | — |
| 631 | C2×C3×C4 | — | 2 | 1 | no | — |
| 632 | C2×C3×C4 | — | 2 | 2 | no | — |
| 633 | C2×C3×C4 | — | 8 | 1 | no | — |
| 634 | C2×C3×C4 | — | 8 | 2 | no | — |
| 635 | C2×C3×C4 | #407 | 1 | 2 | yes | — |
| 636 | C2×C3×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 637 | C2×C3×C4 | C4×#41 | 1 | 2 | yes | — |
| 638 | C2×C3×C4 | C22×M16 | 1 | 1 | yes | characteristic |
| 639 | C2×C3×C4 | #568 | 1 | 2 | yes | — |
| 640 | #67 | — | 4 | 4 | no | — |
| 641 | #67 | — | 4 | 2 | no | — |
| 642 | #67 | — | 8 | 2 | no | — |
| 643 | C2×Dic3 | — | 2 | 1 | no | — |
| 644 | C2×Dic3 | — | 2 | 1 | no | — |
| 645 | C2×Dic3 | — | 2 | 1 | no | — |
| 646 | C2×Dic3 | — | 2 | 1 | no | — |
| 647 | C2×Dic3 | — | 2 | 2 | no | — |
| 648 | C2×Dic3 | — | 2 | 2 | no | — |
| 649 | C2×Dic3 | — | 8 | 1 | no | — |
| 650 | D12 | — | 2 | 2 | no | — |
| 651 | D12 | — | 4 | 4 | no | — |
| 652 | C4×D3 | — | 4 | 2 | no | — |
| 653 | C4×D3 | — | 4 | 2 | no | — |
| 654 | C4×D3 | — | 4 | 1 | no | — |
| 655 | C4×D3 | — | 4 | 1 | no | — |
| 656 | C4×D3 | — | 4 | 2 | no | — |
| 657 | C4×D3 | — | 4 | 1 | no | — |
| 658 | C4×D3 | — | 4 | 1 | no | — |
| 659 | C4×D3 | — | 8 | 1 | no | — |
| 660 | C4×D3 | — | 8 | 1 | no | — |
| 661 | C4×D3 | — | 8 | 2 | no | — |
| 662 | Dic6 | — | 2 | 2 | no | — |
| 663 | Dic6 | — | 8 | 2 | no | — |
| 664 | C3×C8 | — | 2 | 1 | no | — |
| 665 | C3×C8 | — | 2 | 1 | no | — |
| 666 | C3×C8 | — | 2 | 2 | no | — |
| 667 | C3×C8 | — | 2 | 2 | no | — |
| 668 | C3×C8 | #525 | 1 | 2 | yes | — |
| 669 | C3×C8 | #532 | 1 | 2 | yes | — |
| 670 | C3⋊C8 | — | 4 | 1 | no | — |
| 671 | C3⋊C8 | — | 4 | 1 | no | — |
| 672 | C3⋊C8 | — | 4 | 1 | no | — |
| 673 | C3⋊C8 | — | 4 | 1 | no | — |
| 674 | C24 | — | 3 | 1 | no | — |
| 675 | #41 | — | 2 | 2 | no | — |
| 676 | #41 | — | 2 | 2 | no | — |
| 677 | #41 | — | 6 | 2 | no | — |
| 678 | #41 | — | 6 | 2 | no | — |
| 679 | #41 | — | 24 | 4 | no | — |
| 680 | C2×Q8 | — | 3 | 1 | no | — |
| 681 | C2×Q8 | — | 6 | 2 | no | — |
| 682 | C2×Q8 | D3×M16 | 1 | 1 | yes | characteristic |
| 683 | C2×D4 | — | 3 | 1 | no | — |
| 684 | C2×D4 | — | 6 | 2 | no | — |
| 685 | C2×D4 | — | 6 | 2 | no | — |
| 686 | C2×D4 | — | 6 | 1 | no | — |
| 687 | C2×D4 | — | 6 | 2 | no | — |
| 688 | C2×D4 | D3×M16 | 1 | 2 | yes | — |
| 689 | C2×D4 | D3×M16 | 1 | 1 | yes | characteristic |
| 690 | C22×C4 | — | 2 | 2 | no | — |
| 691 | C22×C4 | — | 2 | 1 | no | — |
| 692 | C22×C4 | — | 3 | 1 | no | — |
| 693 | C22×C4 | — | 6 | 1 | no | — |
| 694 | C22×C4 | — | 6 | 1 | no | — |
| 695 | C22×C4 | — | 6 | 1 | no | — |
| 696 | C22×C4 | — | 6 | 1 | no | — |
| 697 | C22×C4 | — | 6 | 2 | no | — |
| 698 | C22×C4 | — | 6 | 1 | no | — |
| 699 | C22×C4 | — | 6 | 2 | no | — |
| 700 | C22×C4 | — | 6 | 1 | no | — |
| 701 | C22×C4 | — | 6 | 2 | no | — |
| 702 | C22×C4 | — | 6 | 1 | no | — |
| 703 | C22×C4 | — | 6 | 1 | no | — |
| 704 | C22×C4 | — | 24 | 2 | no | — |
| 705 | C22×C4 | C2×(C2×D3)⋊C4 | 1 | 2 | yes | — |
| 706 | C22×C4 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 707 | M16 | — | 2 | 2 | no | — |
| 708 | M16 | — | 2 | 2 | no | — |
| 709 | M16 | — | 2 | 4 | no | — |
| 710 | M16 | — | 4 | 2 | no | — |
| 711 | M16 | — | 6 | 2 | no | — |
| 712 | M16 | — | 6 | 2 | no | — |
| 713 | M16 | — | 12 | 2 | no | — |
| 714 | M16 | — | 12 | 2 | no | — |
| 715 | C2×C8 | — | 2 | 2 | no | — |
| 716 | C2×C8 | — | 2 | 4 | no | — |
| 717 | C2×C8 | — | 4 | 2 | no | — |
| 718 | C2×C8 | — | 6 | 2 | no | — |
| 719 | C2×C8 | — | 6 | 2 | no | — |
| 720 | C2×C8 | — | 6 | 1 | no | — |
| 721 | C2×C8 | — | 6 | 1 | no | — |
| 722 | C2×C8 | — | 6 | 1 | no | — |
| 723 | C2×C8 | — | 6 | 1 | no | — |
| 724 | C2×C8 | — | 12 | 2 | no | — |
| 725 | C2×C8 | — | 12 | 2 | no | — |
| 726 | C2×C8 | — | 12 | 2 | no | — |
| 727 | C2×C8 | — | 12 | 2 | no | — |
| 728 | C2×C8 | — | 12 | 2 | no | — |
| 729 | C2×C8 | — | 12 | 2 | no | — |
| 730 | C2×C8 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 731 | C2×C8 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 732 | C2×C8 | C2×(C2×D3)⋊C4 | 1 | 2 | yes | — |
| 733 | C2×C8 | C2×(C2×D3)⋊C4 | 1 | 2 | yes | — |
| 734 | C2×C8 | C22×D12 | 1 | 1 | yes | characteristic |
| 735 | C2×C8 | C2×#235 | 1 | 4 | yes | — |
| 736 | C2×C8 | C22×#67 | 1 | 1 | yes | characteristic |
| 737 | C4⋊C4 | — | 2 | 2 | no | — |
| 738 | C4⋊C4 | — | 2 | 1 | no | — |
| 739 | C4⋊C4 | — | 6 | 2 | no | — |
| 740 | C4⋊C4 | — | 6 | 2 | no | — |
| 741 | C4⋊C4 | — | 6 | 2 | no | — |
| 742 | C4⋊C4 | — | 6 | 2 | no | — |
| 743 | C4⋊C4 | — | 6 | 2 | no | — |
| 744 | C4⋊C4 | — | 6 | 2 | no | — |
| 745 | C4⋊C4 | — | 6 | 2 | no | — |
| 746 | C4⋊C4 | — | 6 | 1 | no | — |
| 747 | C22⋊C4 | — | 2 | 2 | no | — |
| 748 | C22⋊C4 | — | 2 | 1 | no | — |
| 749 | C22⋊C4 | — | 3 | 2 | no | — |
| 750 | C22⋊C4 | — | 6 | 2 | no | — |
| 751 | C22⋊C4 | — | 6 | 2 | no | — |
| 752 | C22⋊C4 | — | 6 | 2 | no | — |
| 753 | C22⋊C4 | — | 6 | 2 | no | — |
| 754 | C22⋊C4 | — | 6 | 2 | no | — |
| 755 | C22⋊C4 | — | 6 | 2 | no | — |
| 756 | C22⋊C4 | — | 6 | 2 | no | — |
| 757 | C42 | — | 2 | 2 | no | — |
| 758 | C42 | — | 2 | 1 | no | — |
| 759 | C42 | — | 3 | 1 | no | — |
| 760 | C42 | — | 3 | 1 | no | — |
| 761 | C42 | — | 6 | 1 | no | — |
| 762 | C42 | — | 6 | 1 | no | — |
| 763 | C42 | — | 6 | 1 | no | — |
| 764 | C42 | — | 6 | 1 | no | — |
| 765 | C42 | — | 6 | 2 | no | — |
| 766 | C42 | — | 6 | 1 | no | — |
| 767 | C42 | — | 6 | 1 | no | — |
| 768 | C42 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 769 | C42 | C2×(C2×D3)⋊C4 | 1 | 2 | yes | — |
| 770 | C42 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 771 | C16 | — | 2 | 8 | no | — |
| 772 | C16 | — | 12 | 4 | no | — |
| 773 | C22×C3 | — | 2 | 2 | no | — |
| 774 | C22×C3 | — | 4 | 1 | no | — |
| 775 | C22×C3 | — | 4 | 2 | no | — |
| 776 | C22×C3 | C2×#407 | 1 | 1 | yes | characteristic |
| 777 | C22×C3 | #2970 | 1 | 2 | yes | — |
| 778 | C2×D3 | — | 2 | 2 | no | — |
| 779 | C2×D3 | — | 2 | 4 | no | — |
| 780 | C2×D3 | — | 4 | 1 | no | — |
| 781 | C2×D3 | — | 4 | 2 | no | — |
| 782 | C2×D3 | — | 4 | 1 | no | — |
| 783 | C2×D3 | — | 4 | 2 | no | — |
| 784 | C2×D3 | — | 4 | 1 | no | — |
| 785 | C3×C4 | — | 2 | 2 | no | — |
| 786 | C3×C4 | — | 4 | 2 | no | — |
| 787 | C3×C4 | — | 4 | 1 | no | — |
| 788 | C3×C4 | — | 4 | 1 | no | — |
| 789 | C3×C4 | #2297 | 1 | 1 | yes | characteristic |
| 790 | C3×C4 | #2879 | 1 | 1 | yes | characteristic |
| 791 | C3×C4 | #2970 | 1 | 2 | yes | — |
| 792 | Dic3 | — | 4 | 1 | no | — |
| 793 | Dic3 | — | 4 | 2 | no | — |
| 794 | Dic3 | — | 4 | 1 | no | — |
| 795 | Dic3 | — | 4 | 1 | no | — |
| 796 | Dic3 | — | 4 | 1 | no | — |
| 797 | C23 | — | 6 | 1 | no | — |
| 798 | C23 | — | 6 | 2 | no | — |
| 799 | C23 | — | 6 | 1 | no | — |
| 800 | C23 | — | 12 | 2 | no | — |
| 801 | C23 | #5126 | 1 | 2 | yes | — |
| 802 | C23 | C2×D3×M16 | 1 | 1 | yes | characteristic |
| 803 | Q8 | — | 2 | 2 | no | — |
| 804 | Q8 | — | 6 | 2 | no | — |
| 805 | Q8 | — | 24 | 2 | no | — |
| 806 | D4 | — | 2 | 4 | no | — |
| 807 | D4 | — | 2 | 2 | no | — |
| 808 | D4 | — | 6 | 2 | no | — |
| 809 | D4 | — | 12 | 4 | no | — |
| 810 | D4 | — | 12 | 4 | no | — |
| 811 | D4 | — | 12 | 2 | no | — |
| 812 | D4 | — | 24 | 2 | no | — |
| 813 | C2×C4 | — | 2 | 2 | no | — |
| 814 | C2×C4 | — | 2 | 2 | no | — |
| 815 | C2×C4 | — | 2 | 1 | no | — |
| 816 | C2×C4 | — | 2 | 1 | no | — |
| 817 | C2×C4 | — | 2 | 2 | no | — |
| 818 | C2×C4 | — | 6 | 1 | no | — |
| 819 | C2×C4 | — | 6 | 1 | no | — |
| 820 | C2×C4 | — | 6 | 1 | no | — |
| 821 | C2×C4 | — | 6 | 2 | no | — |
| 822 | C2×C4 | — | 6 | 1 | no | — |
| 823 | C2×C4 | — | 6 | 2 | no | — |
| 824 | C2×C4 | — | 8 | 1 | no | — |
| 825 | C2×C4 | — | 8 | 2 | no | — |
| 826 | C2×C4 | — | 12 | 2 | no | — |
| 827 | C2×C4 | — | 12 | 2 | no | — |
| 828 | C2×C4 | — | 12 | 1 | no | — |
| 829 | C2×C4 | — | 12 | 1 | no | — |
| 830 | C2×C4 | — | 12 | 2 | no | — |
| 831 | C2×C4 | — | 12 | 1 | no | — |
| 832 | C2×C4 | — | 12 | 1 | no | — |
| 833 | C2×C4 | — | 24 | 1 | no | — |
| 834 | C2×C4 | — | 24 | 1 | no | — |
| 835 | C2×C4 | — | 24 | 2 | no | — |
| 836 | C2×C4 | — | 24 | 1 | no | — |
| 837 | C2×C4 | #5126 | 1 | 2 | yes | — |
| 838 | C2×C4 | C4×#235 | 1 | 2 | yes | — |
| 839 | C2×C4 | C2×D3×M16 | 1 | 1 | yes | characteristic |
| 840 | C2×C4 | #5745 | 1 | 2 | yes | — |
| 841 | C2×C4 | C22×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 842 | C8 | — | 2 | 1 | no | — |
| 843 | C8 | — | 2 | 1 | no | — |
| 844 | C8 | — | 2 | 2 | no | — |
| 845 | C8 | — | 2 | 2 | no | — |
| 846 | C8 | — | 12 | 1 | no | — |
| 847 | C8 | — | 12 | 1 | no | — |
| 848 | C8 | — | 12 | 1 | no | — |
| 849 | C8 | — | 12 | 1 | no | — |
| 850 | C8 | #5477 | 1 | 2 | yes | — |
| 851 | C8 | #5791 | 1 | 2 | yes | — |
| 852 | C2×C3 | — | 2 | 1 | no | — |
| 853 | C2×C3 | — | 2 | 2 | no | — |
| 854 | C2×C3 | — | 4 | 2 | no | — |
| 855 | C2×C3 | #21379 | 1 | 1 | yes | characteristic |
| 856 | D3 | — | 4 | 2 | no | — |
| 857 | D3 | — | 8 | 1 | no | — |
| 858 | C22 | — | 2 | 2 | no | — |
| 859 | C22 | — | 4 | 1 | no | — |
| 860 | C22 | — | 4 | 2 | no | — |
| 861 | C22 | — | 6 | 2 | no | — |
| 862 | C22 | — | 6 | 4 | no | — |
| 863 | C22 | — | 12 | 1 | no | — |
| 864 | C22 | — | 12 | 2 | no | — |
| 865 | C22 | — | 12 | 2 | no | — |
| 866 | C22 | — | 12 | 1 | no | — |
| 867 | C22 | — | 12 | 1 | no | — |
| 868 | C22 | #78482 | 1 | 2 | yes | — |
| 869 | C22 | C2×#5126 | 1 | 1 | yes | characteristic |
| 870 | C4 | — | 2 | 2 | no | — |
| 871 | C4 | — | 4 | 1 | no | — |
| 872 | C4 | — | 4 | 1 | no | — |
| 873 | C4 | — | 4 | 2 | no | — |
| 874 | C4 | — | 12 | 1 | no | — |
| 875 | C4 | — | 12 | 1 | no | — |
| 876 | C4 | — | 12 | 2 | no | — |
| 877 | C4 | — | 12 | 1 | no | — |
| 878 | C4 | — | 12 | 1 | no | — |
| 879 | C4 | #78482 | 1 | 2 | yes | — |
| 880 | C4 | #82070 | 1 | 1 | yes | characteristic |
| 881 | C4 | #83762 | 1 | 1 | yes | characteristic |
| 882 | C3 | #495505 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 883 | C2 | — | 2 | 1 | no | — |
| 884 | C2 | — | 2 | 2 | no | — |
| 885 | C2 | — | 4 | 2 | no | — |
| 886 | C2 | — | 12 | 2 | no | — |
| 887 | C2 | — | 24 | 1 | no | — |
| 888 | C2 | #10800186 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta