Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
3760 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 3760 conjugacy classes of subgroups — too many to draw. Only its 218 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11902357 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11874467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11871292 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11779313 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11779307 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11778895 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C3×#71281 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11776584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11774693 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10771250 | — | 3 | 2 | no | maximal |
| 11 | C2×D32×D4 | — | 2 | 2 | no | — |
| 12 | C2×#64120 | — | 2 | 2 | no | — |
| 13 | #10596187 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3⋊D3×#127 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×#5717 | C22 | 1 | 2 | yes | — |
| 16 | #10595289 | — | 2 | 2 | no | — |
| 17 | #10595288 | — | 2 | 4 | no | — |
| 18 | #10595282 | — | 2 | 2 | no | — |
| 19 | #10595278 | — | 2 | 2 | no | — |
| 20 | D122 | C22 | 1 | 2 | yes | — |
| 21 | C4×#3802 | C22 | 1 | 2 | yes | — |
| 22 | C32×#493 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #10592853 | — | 2 | 2 | no | — |
| 24 | #10592775 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #10592772 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #10592392 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C4×#3743 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#5072 | C22 | 1 | 4 | yes | complemented |
| 29 | #10591516 | — | 2 | 2 | no | — |
| 30 | #10591436 | — | 2 | 4 | no | — |
| 31 | #10591419 | — | 2 | 2 | no | — |
| 32 | #10590268 | C22 | 1 | 4 | yes | complemented |
| 33 | #10590260 | C22 | 1 | 2 | yes | complemented |
| 34 | C3×#4544 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#4459 | C22 | 1 | 4 | yes | complemented |
| 36 | #10589091 | C22 | 1 | 2 | yes | complemented |
| 37 | #10589080 | C22 | 1 | 4 | yes | complemented |
| 38 | D3×D42 | — | 3 | 2 | no | — |
| 39 | #81783 | — | 3 | 2 | no | — |
| 40 | #81783 | — | 6 | 1 | no | — |
| 41 | #80314 | — | 3 | 4 | no | — |
| 42 | C3×#1619 | — | 3 | 2 | no | — |
| 43 | #71907 | — | 3 | 2 | no | — |
| 44 | #71281 | D3 | 1 | 2 | yes | complemented |
| 45 | #71015 | — | 3 | 4 | no | — |
| 46 | #68391 | — | 3 | 2 | no | — |
| 47 | #68387 | — | 3 | 2 | no | — |
| 48 | #68195 | — | 3 | 4 | no | — |
| 49 | #68175 | — | 3 | 4 | no | — |
| 50 | C23×D32 | — | 2 | 2 | no | — |
| 51 | C2×#3830 | — | 2 | 1 | no | — |
| 52 | C2×D4×C3⋊D3 | — | 2 | 2 | no | — |
| 53 | C2×D4×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 54 | C2×C3×D3×D4 | — | 2 | 4 | no | — |
| 55 | C2×#3811 | — | 2 | 4 | no | — |
| 56 | C2×D3×#67 | — | 2 | 8 | no | — |
| 57 | D32×D4 | — | 4 | 16 | no | — |
| 58 | C2×#3802 | D4 | 1 | 2 | yes | — |
| 59 | C2×D3×D12 | — | 2 | 4 | no | — |
| 60 | C2×C4×D32 | — | 2 | 2 | no | — |
| 61 | C2×C32×D8 | — | 2 | 2 | no | — |
| 62 | C32×#127 | C23 | 1 | 1 | yes | characteristic |
| 63 | C32×#127 | C23 | 1 | 1 | yes | characteristic, complemented |
| 64 | #64149 | — | 2 | 2 | no | — |
| 65 | #64149 | D4 | 1 | 2 | yes | — |
| 66 | #64147 | — | 2 | 2 | no | — |
| 67 | #64145 | — | 2 | 1 | no | — |
| 68 | D4×C3⋊Dic3 | — | 2 | 2 | no | — |
| 69 | C2×#3754 | — | 2 | 2 | no | — |
| 70 | C2×#3753 | — | 2 | 2 | no | — |
| 71 | #64120 | — | 4 | 8 | no | — |
| 72 | C2×#3744 | — | 2 | 2 | no | — |
| 73 | C2×#3743 | — | 2 | 1 | no | — |
| 74 | #64083 | C23 | 1 | 1 | yes | characteristic |
| 75 | C42×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 76 | #64078 | C23 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×#938 | — | 2 | 4 | no | — |
| 78 | C3×#937 | — | 2 | 4 | no | — |
| 79 | C2×C3×#213 | — | 2 | 4 | no | — |
| 80 | C3×C4×D12 | C23 | 1 | 4 | yes | — |
| 81 | #63983 | — | 2 | 4 | no | — |
| 82 | #63977 | — | 2 | 4 | no | — |
| 83 | #63974 | — | 2 | 2 | no | — |
| 84 | #63971 | — | 2 | 8 | no | — |
| 85 | #63923 | — | 2 | 4 | no | — |
| 86 | #63921 | — | 2 | 2 | no | — |
| 87 | #63909 | — | 2 | 4 | no | — |
| 88 | #63902 | — | 2 | 2 | no | — |
| 89 | C4×#625 | — | 2 | 2 | no | — |
| 90 | #63900 | D4 | 1 | 2 | yes | — |
| 91 | #63898 | D4 | 1 | 4 | yes | — |
| 92 | C32×C4×C8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 93 | #63642 | — | 2 | 1 | no | — |
| 94 | C4×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic, complemented |
| 95 | C3×#832 | — | 2 | 4 | no | — |
| 96 | C3×C4⋊(C3⋊C8) | C23 | 1 | 4 | yes | complemented |
| 97 | #63573 | — | 2 | 4 | no | — |
| 98 | #63563 | — | 2 | 4 | no | — |
| 99 | #63557 | — | 2 | 2 | no | — |
| 100 | #63555 | — | 2 | 2 | no | — |
| 101 | #18524 | — | 9 | 1 | no | Sylow |
| 102 | C22×D3×D4 | — | 6 | 4 | no | — |
| 103 | C3×D42 | — | 3 | 2 | no | — |
| 104 | D4×#67 | — | 6 | 4 | no | — |
| 105 | C2×#911 | — | 6 | 4 | no | — |
| 106 | C2×#911 | — | 6 | 4 | no | — |
| 107 | #5717 | C2×D3 | 1 | 2 | yes | — |
| 108 | #5716 | — | 3 | 2 | no | — |
| 109 | #5716 | — | 6 | 1 | no | — |
| 110 | D3×#127 | — | 3 | 2 | no | — |
| 111 | D3×#127 | — | 6 | 1 | no | — |
| 112 | #5609 | — | 6 | 4 | no | — |
| 113 | D3×#121 | — | 6 | 4 | no | — |
| 114 | #5590 | — | 6 | 4 | no | — |
| 115 | D3×#120 | — | 6 | 4 | no | — |
| 116 | D4×D12 | — | 3 | 4 | no | — |
| 117 | C4×D3×D4 | — | 3 | 4 | no | — |
| 118 | C3×#493 | — | 2 | 1 | no | — |
| 119 | C3×#493 | C2×D3 | 1 | 2 | yes | complemented |
| 120 | C3×#459 | — | 3 | 4 | no | — |
| 121 | #5156 | — | 6 | 4 | no | — |
| 122 | #5154 | — | 6 | 4 | no | — |
| 123 | #5154 | — | 6 | 4 | no | — |
| 124 | #5152 | — | 6 | 4 | no | — |
| 125 | #5076 | — | 3 | 2 | no | — |
| 126 | #5076 | — | 6 | 1 | no | — |
| 127 | #5073 | — | 3 | 2 | no | — |
| 128 | #5073 | — | 6 | 1 | no | — |
| 129 | #5072 | C2×D3 | 1 | 4 | yes | complemented |
| 130 | #5008 | — | 3 | 4 | no | — |
| 131 | #4842 | — | 3 | 4 | no | — |
| 132 | #4835 | — | 3 | 4 | no | — |
| 133 | #4785 | — | 6 | 4 | no | — |
| 134 | #4777 | — | 6 | 4 | no | — |
| 135 | #4693 | — | 3 | 2 | no | — |
| 136 | #4693 | — | 6 | 1 | no | — |
| 137 | C4×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 138 | C4×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 139 | C3×#331 | — | 3 | 2 | no | — |
| 140 | C3×D4⋊C8 | — | 3 | 4 | no | — |
| 141 | #4544 | C2×D3 | 1 | 2 | yes | complemented |
| 142 | D4⋊(C3⋊C8) | — | 3 | 4 | no | — |
| 143 | #4485 | — | 3 | 4 | no | — |
| 144 | #4483 | — | 3 | 4 | no | — |
| 145 | #4459 | C2×D3 | 1 | 4 | yes | complemented |
| 146 | C23×C3⋊D3 | — | 2 | 2 | no | — |
| 147 | C23×C3×D3 | — | 2 | 4 | no | — |
| 148 | C22×D32 | — | 2 | 2 | no | — |
| 149 | C22×D32 | — | 2 | 4 | no | — |
| 150 | C22×D32 | — | 4 | 16 | no | — |
| 151 | C22×D32 | — | 8 | 4 | no | — |
| 152 | C2×C32×D4 | — | 2 | 2 | no | — |
| 153 | C2×C32×D4 | — | 2 | 1 | no | — |
| 154 | C2×C32×D4 | — | 2 | 2 | no | — |
| 155 | C2×C32×D4 | C2×D4 | 1 | 2 | yes | — |
| 156 | C2×#638 | — | 2 | 4 | no | — |
| 157 | C2×#638 | — | 2 | 2 | no | — |
| 158 | C2×#638 | — | 4 | 1 | no | — |
| 159 | C22×C3⋊Dic3 | — | 4 | 1 | no | — |
| 160 | #3830 | — | 4 | 4 | no | — |
| 161 | D4×C3⋊D3 | — | 4 | 8 | no | — |
| 162 | D4×C3⋊D3 | — | 4 | 4 | no | — |
| 163 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 164 | C2×C4⋊(C3⋊D3) | C2×D4 | 1 | 2 | yes | — |
| 165 | C2×C4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 166 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×#634 | — | 2 | 1 | no | — |
| 168 | C2×C3×#67 | — | 2 | 8 | no | — |
| 169 | C3×D3×D4 | — | 4 | 8 | no | — |
| 170 | C3×D3×D4 | — | 4 | 8 | no | — |
| 171 | C2×C3×D12 | C2×D4 | 1 | 4 | yes | — |
| 172 | C2×C3×C4×D3 | — | 2 | 4 | no | — |
| 173 | #3811 | — | 4 | 16 | no | — |
| 174 | D3×#67 | — | 4 | 32 | no | — |
| 175 | C2×#626 | — | 2 | 8 | no | — |
| 176 | C2×#625 | — | 2 | 2 | no | — |
| 177 | C2×#624 | — | 2 | 2 | no | — |
| 178 | C2×D3×Dic3 | — | 2 | 4 | no | — |
| 179 | #3802 | — | 2 | 8 | no | — |
| 180 | D3×D12 | — | 4 | 8 | no | — |
| 181 | D3×D12 | — | 4 | 8 | no | — |
| 182 | C4×D32 | — | 4 | 8 | no | — |
| 183 | C32×D8 | — | 4 | 4 | no | — |
| 184 | C2×C32×C8 | — | 2 | 1 | no | — |
| 185 | C32×C42 | C24 | 1 | 1 | yes | characteristic |
| 186 | #3757 | — | 4 | 2 | no | — |
| 187 | #3754 | — | 4 | 4 | no | — |
| 188 | #3753 | — | 4 | 4 | no | — |
| 189 | C4⋊(C3⋊Dic3) | — | 2 | 2 | no | — |
| 190 | C4×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 191 | C4×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 193 | #3744 | — | 4 | 4 | no | — |
| 194 | #3743 | — | 2 | 4 | no | — |
| 195 | C3×#217 | — | 2 | 4 | no | — |
| 196 | C3×#213 | — | 4 | 8 | no | — |
| 197 | C3×(C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 198 | C3×C4⋊Dic3 | C2×D4 | 1 | 4 | yes | — |
| 199 | C2×C3×C3⋊C8 | — | 2 | 4 | no | — |
| 200 | #3724 | — | 2 | 2 | no | — |
| 201 | #3722 | — | 2 | 4 | no | — |
| 202 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 203 | C2×D42 | — | 9 | 1 | no | — |
| 204 | #3151 | — | 9 | 1 | no | — |
| 205 | #3109 | — | 9 | 2 | no | — |
| 206 | #1629 | — | 9 | 2 | no | — |
| 207 | #1629 | — | 9 | 2 | no | — |
| 208 | #1619 | — | 3 | 2 | no | — |
| 209 | #1619 | — | 9 | 2 | no | — |
| 210 | #1555 | — | 9 | 1 | no | — |
| 211 | #1490 | — | 9 | 2 | no | — |
| 212 | C24×D3 | — | 6 | 4 | no | — |
| 213 | C22×C3×D4 | — | 6 | 4 | no | — |
| 214 | C22×#67 | — | 6 | 8 | no | — |
| 215 | C2×#237 | — | 6 | 2 | no | — |
| 216 | C2×#237 | — | 6 | 2 | no | — |
| 217 | C2×D3×D4 | — | 2 | 4 | no | — |
| 218 | C2×D3×D4 | — | 3 | 4 | no | — |
| 219 | C2×D3×D4 | — | 3 | 4 | no | — |
| 220 | C2×D3×D4 | — | 6 | 2 | no | — |
| 221 | C2×D3×D4 | — | 6 | 4 | no | — |
| 222 | C2×D3×D4 | — | 6 | 4 | no | — |
| 223 | C2×D3×D4 | — | 6 | 8 | no | — |
| 224 | C2×D3×D4 | — | 6 | 8 | no | — |
| 225 | C2×D3×D4 | — | 12 | 2 | no | — |
| 226 | C2×D3×D4 | — | 12 | 16 | no | — |
| 227 | C2×D3×D4 | — | 12 | 16 | no | — |
| 228 | C22×D12 | — | 6 | 4 | no | — |
| 229 | C22×C4×D3 | — | 6 | 4 | no | — |
| 230 | C2×C3×D8 | — | 2 | 4 | no | — |
| 231 | C2×C3×D8 | — | 2 | 4 | no | — |
| 232 | C2×C3×D8 | — | 6 | 4 | no | — |
| 233 | C3×#127 | — | 2 | 1 | no | — |
| 234 | C3×#127 | — | 2 | 1 | no | — |
| 235 | C3×#127 | C22×D3 | 1 | 2 | yes | — |
| 236 | C3×#127 | C22×D3 | 1 | 2 | yes | complemented |
| 237 | C3×#121 | — | 6 | 4 | no | — |
| 238 | C3×#120 | — | 6 | 4 | no | — |
| 239 | C3×C4×D4 | — | 3 | 4 | no | — |
| 240 | #953 | — | 6 | 4 | no | — |
| 241 | #940 | — | 3 | 4 | no | — |
| 242 | #940 | — | 6 | 2 | no | — |
| 243 | #940 | — | 6 | 4 | no | — |
| 244 | #940 | — | 12 | 2 | no | — |
| 245 | #939 | — | 6 | 8 | no | — |
| 246 | #938 | — | 2 | 4 | no | — |
| 247 | #938 | — | 6 | 4 | no | — |
| 248 | #938 | — | 12 | 2 | no | — |
| 249 | #937 | — | 2 | 4 | no | — |
| 250 | #937 | — | 6 | 8 | no | — |
| 251 | #936 | — | 6 | 2 | no | — |
| 252 | #936 | — | 6 | 2 | no | — |
| 253 | D4×Dic3 | — | 3 | 4 | no | — |
| 254 | D4×Dic3 | — | 6 | 4 | no | — |
| 255 | D4×Dic3 | — | 12 | 2 | no | — |
| 256 | C2×#214 | — | 6 | 4 | no | — |
| 257 | C2×#214 | — | 6 | 4 | no | — |
| 258 | C2×#213 | — | 2 | 4 | no | — |
| 259 | C2×#213 | — | 6 | 4 | no | — |
| 260 | C2×#213 | — | 6 | 4 | no | — |
| 261 | #930 | — | 6 | 4 | no | — |
| 262 | C4×#67 | — | 6 | 4 | no | — |
| 263 | #911 | — | 12 | 16 | no | — |
| 264 | #911 | — | 12 | 16 | no | — |
| 265 | C2×#204 | — | 6 | 4 | no | — |
| 266 | C2×#204 | — | 6 | 4 | no | — |
| 267 | C2×ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 268 | C2×ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 269 | #895 | — | 6 | 4 | no | — |
| 270 | #893 | — | 3 | 4 | no | — |
| 271 | D3×C4⋊C4 | — | 3 | 4 | no | — |
| 272 | #884 | — | 6 | 8 | no | — |
| 273 | #882 | — | 6 | 8 | no | — |
| 274 | #882 | — | 6 | 4 | no | — |
| 275 | #67⋊C4 | — | 6 | 4 | no | — |
| 276 | D3×C22⋊C4 | — | 6 | 4 | no | — |
| 277 | D3×C22⋊C4 | — | 6 | 4 | no | — |
| 278 | #874 | — | 3 | 2 | no | — |
| 279 | #874 | — | 6 | 1 | no | — |
| 280 | C4×D12 | C22×D3 | 1 | 4 | yes | — |
| 281 | C42×D3 | — | 3 | 2 | no | — |
| 282 | C42×D3 | — | 6 | 1 | no | — |
| 283 | #869 | — | 3 | 2 | no | — |
| 284 | #869 | — | 6 | 1 | no | — |
| 285 | C3×C4⋊C8 | — | 3 | 4 | no | — |
| 286 | C3×#102 | — | 6 | 4 | no | — |
| 287 | C3×C4×C8 | — | 2 | 1 | no | — |
| 288 | C3×C4×C8 | C22×D3 | 1 | 2 | yes | complemented |
| 289 | #832 | — | 2 | 4 | no | — |
| 290 | #832 | — | 6 | 4 | no | — |
| 291 | #821 | — | 6 | 4 | no | — |
| 292 | (C2×D3)⋊C8 | — | 6 | 4 | no | — |
| 293 | #817 | — | 6 | 4 | no | — |
| 294 | #815 | — | 6 | 4 | no | — |
| 295 | #815 | — | 6 | 2 | no | — |
| 296 | #815 | — | 6 | 2 | no | — |
| 297 | #808 | — | 6 | 4 | no | — |
| 298 | C4⋊(C3⋊C8) | C22×D3 | 1 | 4 | yes | complemented |
| 299 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 300 | C4×C3⋊C8 | — | 6 | 1 | no | — |
| 301 | C23×C32 | — | 2 | 2 | no | — |
| 302 | C23×C32 | — | 4 | 1 | no | — |
| 303 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 304 | C22×C3⋊D3 | — | 4 | 8 | no | — |
| 305 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 306 | C22×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 307 | C22×C3×D3 | — | 2 | 4 | no | — |
| 308 | C22×C3×D3 | — | 4 | 16 | no | — |
| 309 | C22×C3×D3 | — | 8 | 4 | no | — |
| 310 | C2×D32 | — | 2 | 8 | no | — |
| 311 | C2×D32 | — | 4 | 4 | no | — |
| 312 | C2×D32 | — | 4 | 4 | no | — |
| 313 | C2×D32 | — | 4 | 16 | no | — |
| 314 | C2×D32 | — | 8 | 32 | no | — |
| 315 | C2×D32 | — | 8 | 4 | no | — |
| 316 | C32×D4 | — | 4 | 2 | no | — |
| 317 | C32×D4 | — | 4 | 2 | no | — |
| 318 | C32×D4 | — | 4 | 4 | no | — |
| 319 | C32×D4 | — | 4 | 4 | no | — |
| 320 | C2×C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 321 | C2×C32×C4 | C22×D4 | 1 | 2 | yes | — |
| 322 | #638 | — | 4 | 8 | no | — |
| 323 | #638 | — | 8 | 2 | no | — |
| 324 | #638 | — | 8 | 2 | no | — |
| 325 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 326 | C2×C3⋊Dic3 | — | 8 | 2 | no | — |
| 327 | C2×C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 328 | C2×C3⋊Dic3 | #120 | 1 | 2 | yes | — |
| 329 | C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 330 | C4⋊(C3⋊D3) | — | 4 | 4 | no | — |
| 331 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 332 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 333 | #634 | — | 4 | 2 | no | — |
| 334 | C3×#67 | — | 4 | 16 | no | — |
| 335 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 336 | C3×D12 | — | 2 | 4 | no | — |
| 337 | C3×D12 | AGL(1,ℤ/8) | 1 | 8 | yes | complemented |
| 338 | C3×C4×D3 | — | 4 | 4 | no | — |
| 339 | C3×C4×D3 | — | 4 | 4 | no | — |
| 340 | #626 | — | 4 | 16 | no | — |
| 341 | #625 | — | 2 | 8 | no | — |
| 342 | #624 | — | 4 | 4 | no | — |
| 343 | D3×Dic3 | — | 4 | 8 | no | — |
| 344 | C32×C8 | — | 2 | 2 | no | — |
| 345 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 346 | C3×C3⋊C8 | — | 4 | 4 | no | — |
| 347 | C23×D4 | — | 18 | 2 | no | — |
| 348 | C2×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 349 | D42 | — | 3 | 2 | no | — |
| 350 | D42 | — | 9 | 2 | no | — |
| 351 | D42 | — | 18 | 4 | no | — |
| 352 | D42 | — | 18 | 2 | no | — |
| 353 | #532 | — | 9 | 1 | no | — |
| 354 | C2×#127 | — | 9 | 1 | no | — |
| 355 | C2×#121 | — | 18 | 2 | no | — |
| 356 | C2×#120 | — | 18 | 2 | no | — |
| 357 | C2×C4×D4 | — | 9 | 2 | no | — |
| 358 | #496 | — | 18 | 2 | no | — |
| 359 | #493 | — | 9 | 1 | no | — |
| 360 | #493 | D32 | 1 | 1 | yes | characteristic, complemented |
| 361 | #492 | — | 9 | 1 | no | — |
| 362 | #492 | — | 9 | 1 | no | — |
| 363 | #481 | — | 18 | 2 | no | — |
| 364 | #476 | — | 9 | 4 | no | — |
| 365 | #459 | — | 3 | 4 | no | — |
| 366 | #447 | — | 18 | 2 | no | — |
| 367 | #442 | — | 18 | 4 | no | — |
| 368 | #432 | — | 9 | 2 | no | — |
| 369 | C4×M16 | — | 9 | 1 | no | — |
| 370 | #331 | — | 3 | 2 | no | — |
| 371 | #331 | — | 9 | 2 | no | — |
| 372 | D4⋊C8 | — | 3 | 4 | no | — |
| 373 | D4⋊C8 | — | 9 | 4 | no | — |
| 374 | C24×C3 | — | 6 | 4 | no | — |
| 375 | C23×D3 | — | 2 | 4 | no | — |
| 376 | C23×D3 | — | 6 | 4 | no | — |
| 377 | C23×D3 | — | 6 | 8 | no | — |
| 378 | C23×D3 | — | 6 | 4 | no | — |
| 379 | C23×D3 | — | 12 | 2 | no | — |
| 380 | C23×D3 | — | 12 | 32 | no | — |
| 381 | C23×D3 | — | 24 | 8 | no | — |
| 382 | C2×C3×D4 | — | 2 | 2 | no | — |
| 383 | C2×C3×D4 | — | 2 | 4 | no | — |
| 384 | C2×C3×D4 | — | 2 | 4 | no | — |
| 385 | C2×C3×D4 | — | 2 | 2 | no | — |
| 386 | C2×C3×D4 | — | 2 | 2 | no | — |
| 387 | C2×C3×D4 | — | 3 | 4 | no | — |
| 388 | C2×C3×D4 | — | 4 | 2 | no | — |
| 389 | C2×C3×D4 | — | 4 | 2 | no | — |
| 390 | C2×C3×D4 | — | 6 | 8 | no | — |
| 391 | C2×C3×D4 | — | 12 | 8 | no | — |
| 392 | C2×C3×D4 | — | 12 | 8 | no | — |
| 393 | C2×C3×D4 | D3×D4 | 1 | 4 | yes | — |
| 394 | C22×C3×C4 | — | 6 | 4 | no | — |
| 395 | C2×#67 | — | 2 | 8 | no | — |
| 396 | C2×#67 | — | 6 | 8 | no | — |
| 397 | C2×#67 | — | 6 | 4 | no | — |
| 398 | C2×#67 | — | 6 | 8 | no | — |
| 399 | C2×#67 | — | 6 | 4 | no | — |
| 400 | C2×#67 | — | 12 | 4 | no | — |
| 401 | C2×#67 | — | 12 | 2 | no | — |
| 402 | C2×#67 | — | 12 | 32 | no | — |
| 403 | C2×#67 | — | 12 | 2 | no | — |
| 404 | C2×#67 | — | 12 | 2 | no | — |
| 405 | C22×Dic3 | — | 6 | 4 | no | — |
| 406 | C22×Dic3 | — | 12 | 2 | no | — |
| 407 | C22×Dic3 | — | 12 | 2 | no | — |
| 408 | #237 | — | 12 | 8 | no | — |
| 409 | #237 | — | 12 | 8 | no | — |
| 410 | D3×D4 | — | 4 | 8 | no | — |
| 411 | D3×D4 | — | 4 | 8 | no | — |
| 412 | D3×D4 | — | 6 | 8 | no | — |
| 413 | D3×D4 | — | 6 | 8 | no | — |
| 414 | D3×D4 | — | 12 | 8 | no | — |
| 415 | D3×D4 | — | 12 | 8 | no | — |
| 416 | D3×D4 | — | 12 | 8 | no | — |
| 417 | D3×D4 | — | 12 | 8 | no | — |
| 418 | D3×D4 | — | 12 | 8 | no | — |
| 419 | D3×D4 | — | 12 | 8 | no | — |
| 420 | D3×D4 | — | 12 | 32 | no | — |
| 421 | D3×D4 | — | 12 | 32 | no | — |
| 422 | D3×D4 | — | 24 | 8 | no | — |
| 423 | C2×D12 | — | 3 | 4 | no | — |
| 424 | C2×D12 | — | 6 | 2 | no | — |
| 425 | C2×D12 | — | 6 | 8 | no | — |
| 426 | C2×D12 | — | 6 | 4 | no | — |
| 427 | C2×D12 | — | 12 | 2 | no | — |
| 428 | C2×D12 | — | 12 | 8 | no | — |
| 429 | C2×D12 | — | 12 | 8 | no | — |
| 430 | C2×D12 | D3×D4 | 1 | 4 | yes | — |
| 431 | C2×C4×D3 | — | 2 | 4 | no | — |
| 432 | C2×C4×D3 | — | 3 | 4 | no | — |
| 433 | C2×C4×D3 | — | 3 | 2 | no | — |
| 434 | C2×C4×D3 | — | 6 | 1 | no | — |
| 435 | C2×C4×D3 | — | 6 | 2 | no | — |
| 436 | C2×C4×D3 | — | 6 | 4 | no | — |
| 437 | C2×C4×D3 | — | 6 | 4 | no | — |
| 438 | C2×C4×D3 | — | 12 | 8 | no | — |
| 439 | C2×C4×D3 | — | 12 | 8 | no | — |
| 440 | C2×Dic6 | — | 6 | 2 | no | — |
| 441 | C2×Dic6 | — | 6 | 2 | no | — |
| 442 | C3×D8 | — | 4 | 8 | no | — |
| 443 | C3×D8 | — | 4 | 8 | no | — |
| 444 | C3×D8 | — | 12 | 8 | no | — |
| 445 | C2×C3×C8 | — | 2 | 2 | no | — |
| 446 | C2×C3×C8 | — | 2 | 2 | no | — |
| 447 | C2×C3×C8 | — | 6 | 4 | no | — |
| 448 | C3×C4⋊C4 | — | 3 | 4 | no | — |
| 449 | C3×C22⋊C4 | — | 6 | 4 | no | — |
| 450 | C3×C22⋊C4 | — | 6 | 4 | no | — |
| 451 | C3×C42 | — | 2 | 1 | no | — |
| 452 | C3×C42 | C23×D3 | 1 | 2 | yes | — |
| 453 | #217 | — | 2 | 4 | no | — |
| 454 | #217 | — | 6 | 4 | no | — |
| 455 | #217 | — | 12 | 4 | no | — |
| 456 | #217 | — | 12 | 4 | no | — |
| 457 | #214 | — | 12 | 8 | no | — |
| 458 | #214 | — | 12 | 8 | no | — |
| 459 | #213 | — | 4 | 8 | no | — |
| 460 | #213 | — | 12 | 8 | no | — |
| 461 | #213 | — | 12 | 8 | no | — |
| 462 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 463 | (C2×D3)⋊C4 | — | 6 | 8 | no | — |
| 464 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 465 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 466 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 467 | C4⋊Dic3 | D3×D4 | 1 | 4 | yes | — |
| 468 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 469 | C4×Dic3 | — | 3 | 2 | no | — |
| 470 | C4×Dic3 | — | 3 | 4 | no | — |
| 471 | C4×Dic3 | — | 6 | 1 | no | — |
| 472 | C4×Dic3 | — | 6 | 2 | no | — |
| 473 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 474 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 475 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 476 | #204 | — | 12 | 8 | no | — |
| 477 | #204 | — | 12 | 8 | no | — |
| 478 | ΓL(1,𝔽25) | — | 6 | 8 | no | — |
| 479 | ΓL(1,𝔽25) | — | 6 | 8 | no | — |
| 480 | C22×C32 | — | 4 | 4 | no | — |
| 481 | C22×C32 | — | 4 | 2 | no | — |
| 482 | C22×C32 | — | 8 | 2 | no | — |
| 483 | C22×C32 | — | 8 | 1 | no | — |
| 484 | C22×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 485 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 486 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 487 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 488 | C2×C3⋊D3 | — | 8 | 8 | no | — |
| 489 | C2×C3⋊D3 | #453 | 1 | 2 | yes | — |
| 490 | C2×C3×D3 | — | 2 | 8 | no | — |
| 491 | C2×C3×D3 | — | 4 | 4 | no | — |
| 492 | C2×C3×D3 | — | 4 | 4 | no | — |
| 493 | C2×C3×D3 | — | 8 | 16 | no | — |
| 494 | D32 | — | 4 | 16 | no | — |
| 495 | D32 | — | 8 | 16 | no | — |
| 496 | C32×C4 | — | 2 | 1 | no | — |
| 497 | C32×C4 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 498 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 499 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 500 | C3⋊Dic3 | — | 8 | 1 | no | — |
| 501 | C3×Dic3 | — | 4 | 4 | no | — |
| 502 | C25 | — | 18 | 2 | no | — |
| 503 | C2×#41 | — | 18 | 1 | no | — |
| 504 | C22×D4 | — | 6 | 4 | no | — |
| 505 | C22×D4 | — | 9 | 2 | no | — |
| 506 | C22×D4 | — | 9 | 2 | no | — |
| 507 | C22×D4 | — | 18 | 4 | no | — |
| 508 | C22×D4 | — | 18 | 2 | no | — |
| 509 | C22×D4 | — | 18 | 4 | no | — |
| 510 | C22×D4 | — | 18 | 8 | no | — |
| 511 | C22×D4 | — | 36 | 16 | no | — |
| 512 | C23×C4 | — | 18 | 2 | no | — |
| 513 | AGL(1,ℤ/8) | — | 36 | 8 | no | — |
| 514 | C2×SD16 | — | 18 | 2 | no | — |
| 515 | C2×SD16 | — | 18 | 2 | no | — |
| 516 | C2×D8 | — | 2 | 2 | no | — |
| 517 | C2×D8 | — | 6 | 4 | no | — |
| 518 | C2×D8 | — | 18 | 2 | no | — |
| 519 | C2×M16 | — | 18 | 1 | no | — |
| 520 | C4⋊Q8 | — | 9 | 1 | no | — |
| 521 | #127 | — | 9 | 2 | no | — |
| 522 | #127 | — | 9 | 1 | no | — |
| 523 | #127 | — | 18 | 2 | no | — |
| 524 | #127 | C2×D32 | 1 | 1 | yes | characteristic |
| 525 | #127 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 526 | #124 | — | 18 | 1 | no | — |
| 527 | #121 | — | 6 | 4 | no | — |
| 528 | #121 | — | 18 | 8 | no | — |
| 529 | #121 | — | 18 | 4 | no | — |
| 530 | #121 | — | 18 | 2 | no | — |
| 531 | #120 | — | 6 | 4 | no | — |
| 532 | #120 | — | 18 | 4 | no | — |
| 533 | #120 | — | 18 | 4 | no | — |
| 534 | #120 | — | 18 | 4 | no | — |
| 535 | C4×D4 | — | 3 | 4 | no | — |
| 536 | C4×D4 | — | 9 | 4 | no | — |
| 537 | C4×D4 | — | 18 | 2 | no | — |
| 538 | C4×D4 | — | 18 | 2 | no | — |
| 539 | C4×D4 | — | 18 | 2 | no | — |
| 540 | C2×C4⋊C4 | — | 9 | 2 | no | — |
| 541 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 542 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 543 | C2×C42 | — | 9 | 1 | no | — |
| 544 | #106 | — | 18 | 4 | no | — |
| 545 | C4⋊C8 | — | 3 | 4 | no | — |
| 546 | #102 | — | 6 | 4 | no | — |
| 547 | #102 | — | 18 | 4 | no | — |
| 548 | C22⋊C8 | — | 18 | 2 | no | — |
| 549 | #97 | — | 18 | 1 | no | — |
| 550 | #97 | — | 18 | 2 | no | — |
| 551 | C4×C8 | — | 9 | 1 | no | — |
| 552 | C4×C8 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 553 | C23×C3 | — | 2 | 4 | no | — |
| 554 | C23×C3 | — | 4 | 2 | no | — |
| 555 | C23×C3 | — | 4 | 2 | no | — |
| 556 | C23×C3 | — | 4 | 2 | no | — |
| 557 | C23×C3 | — | 6 | 4 | no | — |
| 558 | C23×C3 | — | 12 | 16 | no | — |
| 559 | C23×C3 | — | 24 | 4 | no | — |
| 560 | C22×D3 | — | 2 | 4 | no | — |
| 561 | C22×D3 | — | 3 | 2 | no | — |
| 562 | C22×D3 | — | 4 | 16 | no | — |
| 563 | C22×D3 | — | 6 | 1 | no | — |
| 564 | C22×D3 | — | 6 | 16 | no | — |
| 565 | C22×D3 | — | 6 | 4 | no | — |
| 566 | C22×D3 | — | 8 | 4 | no | — |
| 567 | C22×D3 | — | 12 | 2 | no | — |
| 568 | C22×D3 | — | 12 | 16 | no | — |
| 569 | C22×D3 | — | 12 | 8 | no | — |
| 570 | C22×D3 | — | 12 | 8 | no | — |
| 571 | C22×D3 | — | 12 | 8 | no | — |
| 572 | C22×D3 | — | 12 | 16 | no | — |
| 573 | C22×D3 | — | 12 | 16 | no | — |
| 574 | C22×D3 | — | 24 | 4 | no | — |
| 575 | C22×D3 | — | 24 | 8 | no | — |
| 576 | C22×D3 | — | 24 | 8 | no | — |
| 577 | C22×D3 | — | 24 | 64 | no | — |
| 578 | C3×D4 | — | 3 | 8 | no | — |
| 579 | C3×D4 | — | 4 | 4 | no | — |
| 580 | C3×D4 | — | 4 | 4 | no | — |
| 581 | C3×D4 | — | 4 | 4 | no | — |
| 582 | C3×D4 | — | 4 | 4 | no | — |
| 583 | C3×D4 | — | 4 | 4 | no | — |
| 584 | C3×D4 | — | 4 | 4 | no | — |
| 585 | C3×D4 | — | 4 | 4 | no | — |
| 586 | C3×D4 | — | 4 | 4 | no | — |
| 587 | C3×D4 | — | 6 | 4 | no | — |
| 588 | C3×D4 | — | 8 | 4 | no | — |
| 589 | C3×D4 | — | 8 | 4 | no | — |
| 590 | C3×D4 | — | 12 | 16 | no | — |
| 591 | C2×C3×C4 | — | 2 | 2 | no | — |
| 592 | C2×C3×C4 | — | 2 | 1 | no | — |
| 593 | C2×C3×C4 | — | 6 | 4 | no | — |
| 594 | C2×C3×C4 | — | 12 | 4 | no | — |
| 595 | C2×C3×C4 | — | 12 | 4 | no | — |
| 596 | C2×C3×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 597 | C2×C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 598 | #67 | — | 4 | 16 | no | — |
| 599 | #67 | — | 6 | 16 | no | — |
| 600 | #67 | — | 12 | 16 | no | — |
| 601 | #67 | — | 12 | 16 | no | — |
| 602 | #67 | — | 24 | 8 | no | — |
| 603 | #67 | — | 24 | 4 | no | — |
| 604 | #67 | — | 24 | 4 | no | — |
| 605 | #67 | — | 24 | 4 | no | — |
| 606 | #67 | — | 24 | 4 | no | — |
| 607 | C2×Dic3 | — | 2 | 4 | no | — |
| 608 | C2×Dic3 | — | 3 | 4 | no | — |
| 609 | C2×Dic3 | — | 3 | 2 | no | — |
| 610 | C2×Dic3 | — | 6 | 1 | no | — |
| 611 | C2×Dic3 | — | 6 | 2 | no | — |
| 612 | C2×Dic3 | — | 12 | 8 | no | — |
| 613 | C2×Dic3 | — | 12 | 2 | no | — |
| 614 | C2×Dic3 | — | 12 | 2 | no | — |
| 615 | C2×Dic3 | — | 24 | 4 | no | — |
| 616 | C2×Dic3 | — | 24 | 4 | no | — |
| 617 | D12 | — | 2 | 4 | no | — |
| 618 | D12 | — | 12 | 4 | no | — |
| 619 | D12 | — | 12 | 4 | no | — |
| 620 | D12 | — | 12 | 16 | no | — |
| 621 | D12 | — | 12 | 4 | no | — |
| 622 | D12 | — | 12 | 4 | no | — |
| 623 | D12 | — | 24 | 4 | no | — |
| 624 | D12 | #911 | 1 | 8 | yes | complemented |
| 625 | C4×D3 | — | 4 | 4 | no | — |
| 626 | C4×D3 | — | 4 | 4 | no | — |
| 627 | C4×D3 | — | 6 | 4 | no | — |
| 628 | C4×D3 | — | 6 | 4 | no | — |
| 629 | C4×D3 | — | 6 | 4 | no | — |
| 630 | C4×D3 | — | 6 | 4 | no | — |
| 631 | C4×D3 | — | 12 | 4 | no | — |
| 632 | C4×D3 | — | 12 | 8 | no | — |
| 633 | C4×D3 | — | 12 | 8 | no | — |
| 634 | Dic6 | — | 12 | 4 | no | — |
| 635 | Dic6 | — | 12 | 4 | no | — |
| 636 | C3×C8 | — | 2 | 4 | no | — |
| 637 | C3×C8 | — | 2 | 4 | no | — |
| 638 | C3×C8 | — | 12 | 4 | no | — |
| 639 | C3⋊C8 | — | 4 | 4 | no | — |
| 640 | C3⋊C8 | — | 6 | 4 | no | — |
| 641 | C3⋊C8 | — | 6 | 4 | no | — |
| 642 | C2×C32 | — | 8 | 2 | no | — |
| 643 | C2×C32 | — | 16 | 1 | no | — |
| 644 | C2×C32 | #3003 | 1 | 2 | yes | — |
| 645 | C2×C32 | C2×#453 | 1 | 1 | yes | characteristic |
| 646 | C3⋊D3 | — | 2 | 2 | no | — |
| 647 | C3⋊D3 | — | 8 | 2 | no | — |
| 648 | C3×D3 | — | 4 | 8 | no | — |
| 649 | C24 | — | 6 | 4 | no | — |
| 650 | C24 | — | 18 | 2 | no | — |
| 651 | C24 | — | 18 | 2 | no | — |
| 652 | C24 | — | 18 | 4 | no | — |
| 653 | C24 | — | 36 | 16 | no | — |
| 654 | C24 | — | 72 | 4 | no | — |
| 655 | #41 | — | 36 | 4 | no | — |
| 656 | C2×Q8 | — | 18 | 1 | no | — |
| 657 | C2×D4 | — | 2 | 2 | no | — |
| 658 | C2×D4 | — | 2 | 2 | no | — |
| 659 | C2×D4 | — | 2 | 1 | no | — |
| 660 | C2×D4 | — | 3 | 4 | no | — |
| 661 | C2×D4 | — | 6 | 8 | no | — |
| 662 | C2×D4 | — | 9 | 2 | no | — |
| 663 | C2×D4 | — | 12 | 8 | no | — |
| 664 | C2×D4 | — | 12 | 8 | no | — |
| 665 | C2×D4 | — | 18 | 8 | no | — |
| 666 | C2×D4 | — | 18 | 2 | no | — |
| 667 | C2×D4 | — | 18 | 4 | no | — |
| 668 | C2×D4 | — | 18 | 2 | no | — |
| 669 | C2×D4 | — | 18 | 8 | no | — |
| 670 | C2×D4 | — | 18 | 2 | no | — |
| 671 | C2×D4 | — | 36 | 8 | no | — |
| 672 | C2×D4 | — | 36 | 8 | no | — |
| 673 | C2×D4 | — | 36 | 8 | no | — |
| 674 | C2×D4 | — | 36 | 4 | no | — |
| 675 | C2×D4 | — | 36 | 16 | no | — |
| 676 | C2×D4 | — | 36 | 32 | no | — |
| 677 | C2×D4 | — | 36 | 1 | no | — |
| 678 | C2×D4 | #3811 | 1 | 2 | yes | — |
| 679 | C22×C4 | — | 6 | 4 | no | — |
| 680 | C22×C4 | — | 9 | 2 | no | — |
| 681 | C22×C4 | — | 9 | 1 | no | — |
| 682 | C22×C4 | — | 18 | 2 | no | — |
| 683 | C22×C4 | — | 18 | 4 | no | — |
| 684 | C22×C4 | — | 36 | 1 | no | — |
| 685 | C22×C4 | — | 36 | 8 | no | — |
| 686 | SD16 | — | 36 | 4 | no | — |
| 687 | SD16 | — | 36 | 4 | no | — |
| 688 | D8 | — | 4 | 4 | no | — |
| 689 | D8 | — | 12 | 8 | no | — |
| 690 | D8 | — | 36 | 4 | no | — |
| 691 | M16 | — | 18 | 4 | no | — |
| 692 | C2×C8 | — | 2 | 1 | no | — |
| 693 | C2×C8 | — | 6 | 4 | no | — |
| 694 | C2×C8 | — | 18 | 1 | no | — |
| 695 | C4⋊C4 | — | 3 | 4 | no | — |
| 696 | C4⋊C4 | — | 18 | 2 | no | — |
| 697 | C4⋊C4 | — | 18 | 2 | no | — |
| 698 | C22⋊C4 | — | 6 | 4 | no | — |
| 699 | C22⋊C4 | — | 6 | 4 | no | — |
| 700 | C22⋊C4 | — | 18 | 4 | no | — |
| 701 | C22⋊C4 | — | 18 | 4 | no | — |
| 702 | C22⋊C4 | — | 36 | 2 | no | — |
| 703 | C42 | — | 9 | 2 | no | — |
| 704 | C42 | — | 9 | 1 | no | — |
| 705 | C42 | C22×D32 | 1 | 1 | yes | characteristic |
| 706 | C22×C3 | — | 2 | 1 | no | — |
| 707 | C22×C3 | — | 4 | 8 | no | — |
| 708 | C22×C3 | — | 4 | 4 | no | — |
| 709 | C22×C3 | — | 6 | 8 | no | — |
| 710 | C22×C3 | — | 8 | 2 | no | — |
| 711 | C22×C3 | — | 8 | 4 | no | — |
| 712 | C22×C3 | — | 8 | 2 | no | — |
| 713 | C22×C3 | — | 8 | 4 | no | — |
| 714 | C22×C3 | — | 8 | 4 | no | — |
| 715 | C22×C3 | — | 8 | 2 | no | — |
| 716 | C22×C3 | — | 12 | 4 | no | — |
| 717 | C22×C3 | — | 12 | 4 | no | — |
| 718 | C22×C3 | — | 24 | 16 | no | — |
| 719 | C22×C3 | D3×#120 | 1 | 2 | yes | — |
| 720 | C2×D3 | — | 2 | 8 | no | — |
| 721 | C2×D3 | — | 3 | 4 | no | — |
| 722 | C2×D3 | — | 4 | 4 | no | — |
| 723 | C2×D3 | — | 4 | 4 | no | — |
| 724 | C2×D3 | — | 6 | 2 | no | — |
| 725 | C2×D3 | — | 6 | 4 | no | — |
| 726 | C2×D3 | — | 8 | 16 | no | — |
| 727 | C2×D3 | — | 12 | 2 | no | — |
| 728 | C2×D3 | — | 12 | 32 | no | — |
| 729 | C2×D3 | — | 12 | 8 | no | — |
| 730 | C2×D3 | — | 12 | 4 | no | — |
| 731 | C2×D3 | — | 24 | 2 | no | — |
| 732 | C2×D3 | — | 24 | 4 | no | — |
| 733 | C2×D3 | — | 24 | 32 | no | — |
| 734 | C2×D3 | — | 24 | 16 | no | — |
| 735 | C2×D3 | — | 48 | 8 | no | — |
| 736 | C3×C4 | — | 2 | 2 | no | — |
| 737 | C3×C4 | — | 2 | 2 | no | — |
| 738 | C3×C4 | — | 2 | 4 | no | — |
| 739 | C3×C4 | — | 12 | 4 | no | — |
| 740 | C3×C4 | C2×#911 | 1 | 4 | yes | — |
| 741 | C3×C4 | D3×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 742 | Dic3 | — | 4 | 4 | no | — |
| 743 | Dic3 | — | 6 | 2 | no | — |
| 744 | Dic3 | — | 6 | 4 | no | — |
| 745 | Dic3 | — | 6 | 2 | no | — |
| 746 | Dic3 | — | 12 | 2 | no | — |
| 747 | Dic3 | — | 24 | 2 | no | — |
| 748 | Dic3 | — | 24 | 2 | no | — |
| 749 | C32 | #18524 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 750 | C23 | — | 2 | 2 | no | — |
| 751 | C23 | — | 4 | 1 | no | — |
| 752 | C23 | — | 6 | 4 | no | — |
| 753 | C23 | — | 9 | 1 | no | — |
| 754 | C23 | — | 12 | 16 | no | — |
| 755 | C23 | — | 18 | 8 | no | — |
| 756 | C23 | — | 18 | 2 | no | — |
| 757 | C23 | — | 24 | 4 | no | — |
| 758 | C23 | — | 36 | 4 | no | — |
| 759 | C23 | — | 36 | 8 | no | — |
| 760 | C23 | — | 36 | 16 | no | — |
| 761 | C23 | — | 36 | 4 | no | — |
| 762 | C23 | — | 36 | 4 | no | — |
| 763 | C23 | — | 72 | 4 | no | — |
| 764 | C23 | — | 72 | 32 | no | — |
| 765 | Q8 | — | 36 | 2 | no | — |
| 766 | D4 | — | 3 | 8 | no | — |
| 767 | D4 | — | 4 | 2 | no | — |
| 768 | D4 | — | 4 | 2 | no | — |
| 769 | D4 | — | 4 | 4 | no | — |
| 770 | D4 | — | 4 | 4 | no | — |
| 771 | D4 | — | 6 | 4 | no | — |
| 772 | D4 | — | 12 | 16 | no | — |
| 773 | D4 | — | 18 | 8 | no | — |
| 774 | D4 | — | 36 | 2 | no | — |
| 775 | D4 | — | 36 | 16 | no | — |
| 776 | D4 | — | 36 | 8 | no | — |
| 777 | D4 | — | 36 | 4 | no | — |
| 778 | D4 | — | 72 | 2 | no | — |
| 779 | D4 | — | 72 | 2 | no | — |
| 780 | C2×C4 | — | 6 | 4 | no | — |
| 781 | C2×C4 | — | 9 | 1 | no | — |
| 782 | C2×C4 | — | 9 | 2 | no | — |
| 783 | C2×C4 | — | 12 | 4 | no | — |
| 784 | C2×C4 | — | 12 | 4 | no | — |
| 785 | C2×C4 | — | 18 | 2 | no | — |
| 786 | C2×C4 | — | 18 | 4 | no | — |
| 787 | C2×C4 | — | 36 | 4 | no | — |
| 788 | C2×C4 | — | 36 | 8 | no | — |
| 789 | C2×C4 | — | 36 | 1 | no | — |
| 790 | C2×C4 | — | 72 | 2 | no | — |
| 791 | C2×C4 | D32×D4 | 1 | 2 | yes | — |
| 792 | C2×C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 793 | C8 | — | 2 | 2 | no | — |
| 794 | C8 | — | 12 | 4 | no | — |
| 795 | C8 | — | 18 | 2 | no | — |
| 796 | C2×C3 | — | 2 | 2 | no | — |
| 797 | C2×C3 | — | 2 | 1 | no | — |
| 798 | C2×C3 | — | 8 | 4 | no | — |
| 799 | C2×C3 | — | 12 | 8 | no | — |
| 800 | C2×C3 | — | 16 | 2 | no | — |
| 801 | C2×C3 | — | 16 | 2 | no | — |
| 802 | C2×C3 | — | 16 | 2 | no | — |
| 803 | C2×C3 | #80002 | 1 | 4 | yes | — |
| 804 | C2×C3 | D3×#453 | 1 | 2 | yes | — |
| 805 | D3 | — | 4 | 8 | no | — |
| 806 | D3 | — | 6 | 4 | no | — |
| 807 | D3 | — | 12 | 2 | no | — |
| 808 | D3 | — | 24 | 4 | no | — |
| 809 | D3 | — | 48 | 2 | no | — |
| 810 | C22 | — | 4 | 4 | no | — |
| 811 | C22 | — | 4 | 2 | no | — |
| 812 | C22 | — | 6 | 8 | no | — |
| 813 | C22 | — | 8 | 2 | no | — |
| 814 | C22 | — | 8 | 1 | no | — |
| 815 | C22 | — | 9 | 2 | no | — |
| 816 | C22 | — | 12 | 4 | no | — |
| 817 | C22 | — | 12 | 4 | no | — |
| 818 | C22 | — | 18 | 2 | no | — |
| 819 | C22 | — | 24 | 16 | no | — |
| 820 | C22 | — | 36 | 16 | no | — |
| 821 | C22 | — | 36 | 4 | no | — |
| 822 | C22 | — | 36 | 2 | no | — |
| 823 | C22 | — | 72 | 8 | no | — |
| 824 | C22 | — | 72 | 16 | no | — |
| 825 | C22 | #10595278 | 1 | 1 | yes | characteristic |
| 826 | C4 | — | 2 | 1 | no | — |
| 827 | C4 | — | 12 | 4 | no | — |
| 828 | C4 | — | 18 | 2 | no | — |
| 829 | C4 | — | 18 | 1 | no | — |
| 830 | C4 | — | 72 | 1 | no | — |
| 831 | C4 | D3×#911 | 1 | 4 | yes | — |
| 832 | C3 | — | 2 | 1 | no | — |
| 833 | C3 | #10771250 | 1 | 2 | yes | complemented |
| 834 | C2 | — | 8 | 2 | no | — |
| 835 | C2 | — | 12 | 8 | no | — |
| 836 | C2 | — | 16 | 1 | no | — |
| 837 | C2 | — | 18 | 2 | no | — |
| 838 | C2 | — | 72 | 2 | no | — |
| 839 | C2 | #11863935 | 1 | 2 | yes | — |
| 840 | C2 | #11864777 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11902357 | C2 | semidirect |
| 2. #11874467 | C2 | semidirect |
| 3. #11871292 | C2 | semidirect |
| 4. #11779313 | C2 | semidirect |
| 5. #11779307 | C2 | semidirect |
| 6. #11778895 | C2 | semidirect |
| 7. C3×#71281 | C2 | semidirect |
| 8. #11776584 | C2 | semidirect |
| 9. #11774693 | C2 | semidirect |
| 13. #10596187 | C22 | semidirect |
| 22. C32×#493 | C22 | semidirect |
| 24. #10592775 | C22 | semidirect |
| 25. #10592772 | C22 | semidirect |
| 26. #10592392 | C22 | semidirect |
| 27. C4×#3743 | C22 | semidirect |
| 28. C3×#5072 | C22 | semidirect |
| 32. #10590268 | C22 | semidirect |
| 33. #10590260 | C22 | semidirect |
| 34. C3×#4544 | C22 | semidirect |
| 35. C3×#4459 | C22 | semidirect |
| 36. #10589091 | C22 | semidirect |
| 37. #10589080 | C22 | semidirect |
| 44. #71281 | D3 | semidirect |
| 63. C32×#127 | C23 | semidirect |
| 76. #64078 | C23 | semidirect |
| 92. C32×C4×C8 | C23 | semidirect |
| 94. C4×C3⋊(C3⋊C8) | C23 | semidirect |
| 96. C3×C4⋊(C3⋊C8) | C23 | semidirect |
| 119. C3×#493 | C2×D3 | semidirect |
| 129. #5072 | C2×D3 | semidirect |
| 141. #4544 | C2×D3 | semidirect |
| 145. #4459 | C2×D3 | semidirect |
| 236. C3×#127 | C22×D3 | semidirect |
| 288. C3×C4×C8 | C22×D3 | semidirect |
| 298. C4⋊(C3⋊C8) | C22×D3 | semidirect |
| 337. C3×D12 | AGL(1,ℤ/8) | semidirect |
| 360. #493 | D32 | semidirect |
| 525. #127 | C2×D32 | semidirect |
| 552. C4×C8 | C2×D32 | semidirect |
| 624. D12 | #911 | semidirect |
| 749. C32 | #18524 | semidirect |
| 833. C3 | #10771250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11902357 | 2 |
| #11874467 | 2 |
| #11871292 | 2 |
| #11779313 | 2 |
| #11779307 | 2 |
| #11778895 | 2 |
| C3×#71281 | 2 |
| #11776584 | 2 |
| #11774693 | 2 |
| #10771250 | 3 |