Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
1351 conjugacy classes of subgroups.
The subgroup lattice has 805 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11876966 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11861166 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11799995 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11799987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11799711 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11799109 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11798287 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11798276 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11797972 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C3×#70918 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11797397 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10950417 | — | 3 | 2 | no | maximal |
| 13 | #10596019 | — | 2 | 1 | no | — |
| 14 | #10594685 | C22 | 1 | 1 | yes | characteristic |
| 15 | #10594670 | — | 2 | 1 | no | — |
| 16 | C32×#442 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #10592858 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10592850 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #10592713 | — | 2 | 1 | no | — |
| 20 | #10592564 | C22 | 1 | 1 | yes | characteristic |
| 21 | #10592554 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #10592481 | — | 2 | 1 | no | — |
| 23 | #10592459 | — | 2 | 1 | no | — |
| 24 | #10592410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #10592406 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#5147 | C22 | 1 | 2 | yes | — |
| 27 | C3×#4717 | C22 | 1 | 2 | yes | — |
| 28 | #10590921 | — | 2 | 1 | no | — |
| 29 | #10590919 | C22 | 1 | 2 | yes | — |
| 30 | #10590914 | C22 | 1 | 1 | yes | characteristic |
| 31 | #10590634 | C22 | 1 | 2 | yes | — |
| 32 | #10590393 | — | 2 | 1 | no | — |
| 33 | #10590390 | — | 2 | 1 | no | — |
| 34 | C3×#4563 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#4488 | C22 | 1 | 2 | yes | — |
| 36 | C3×#4487 | C22 | 1 | 2 | yes | complemented |
| 37 | C3×#4466 | C22 | 1 | 2 | yes | complemented |
| 38 | #10589137 | C22 | 1 | 2 | yes | complemented |
| 39 | #10589135 | C22 | 1 | 2 | yes | complemented |
| 40 | #10589128 | C22 | 1 | 2 | yes | complemented |
| 41 | #10589124 | C22 | 1 | 2 | yes | — |
| 42 | #10589110 | C22 | 1 | 1 | yes | characteristic |
| 43 | #10589110 | C22 | 1 | 1 | yes | characteristic |
| 44 | #79898 | — | 3 | 2 | no | — |
| 45 | #79877 | — | 3 | 2 | no | — |
| 46 | #79877 | — | 6 | 1 | no | — |
| 47 | C3×AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 48 | #71516 | — | 3 | 2 | no | — |
| 49 | #71514 | — | 3 | 2 | no | — |
| 50 | #70929 | — | 3 | 2 | no | — |
| 51 | #70918 | D3 | 1 | 2 | yes | complemented |
| 52 | #69315 | — | 3 | 2 | no | — |
| 53 | #69313 | — | 3 | 2 | no | — |
| 54 | #69263 | — | 3 | 2 | no | — |
| 55 | #69257 | — | 3 | 2 | no | — |
| 56 | #69252 | — | 3 | 2 | no | — |
| 57 | #69246 | — | 3 | 2 | no | — |
| 58 | #69091 | — | 3 | 2 | no | — |
| 59 | #69088 | — | 3 | 2 | no | — |
| 60 | C2×#3828 | — | 4 | 1 | no | — |
| 61 | #64306 | — | 2 | 1 | no | — |
| 62 | C2×C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 63 | C32×C4×D4 | — | 2 | 1 | no | — |
| 64 | #64149 | — | 2 | 1 | no | — |
| 65 | #64147 | — | 2 | 1 | no | — |
| 66 | C2×#3753 | — | 2 | 1 | no | — |
| 67 | C4×#638 | — | 4 | 1 | no | — |
| 68 | C2×#3745 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×#3743 | D4 | 1 | 1 | yes | characteristic |
| 70 | C2×#3743 | C23 | 1 | 1 | yes | characteristic |
| 71 | #64104 | — | 2 | 1 | no | — |
| 72 | #64097 | — | 2 | 1 | no | — |
| 73 | #64094 | — | 4 | 1 | no | — |
| 74 | #64093 | — | 4 | 1 | no | — |
| 75 | C4×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 76 | C42×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 77 | C3×#904 | C23 | 1 | 2 | yes | — |
| 78 | C3×#901 | — | 2 | 2 | no | — |
| 79 | #63822 | — | 2 | 1 | no | — |
| 80 | #63818 | — | 2 | 1 | no | — |
| 81 | #63815 | — | 2 | 2 | no | — |
| 82 | #63811 | — | 2 | 2 | no | — |
| 83 | #63804 | — | 4 | 2 | no | — |
| 84 | #63798 | — | 2 | 2 | no | — |
| 85 | D3×ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 86 | C32×#106 | C23 | 1 | 1 | yes | characteristic |
| 87 | C32×#102 | — | 2 | 1 | no | — |
| 88 | C32×#97 | C23 | 1 | 1 | yes | characteristic |
| 89 | #63659 | — | 2 | 1 | no | — |
| 90 | #63648 | — | 2 | 1 | no | — |
| 91 | #63644 | C23 | 1 | 1 | yes | characteristic |
| 92 | C8×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 93 | C8×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 94 | #63636 | — | 2 | 1 | no | — |
| 95 | #63635 | — | 2 | 1 | no | — |
| 96 | #63630 | D4 | 1 | 1 | yes | characteristic |
| 97 | C3×#827 | — | 2 | 2 | no | — |
| 98 | C3×#826 | — | 2 | 2 | no | — |
| 99 | C3×#819 | C23 | 1 | 2 | yes | — |
| 100 | C3×#812 | C23 | 1 | 2 | yes | — |
| 101 | C3×#812 | C23 | 1 | 2 | yes | — |
| 102 | C3×#805 | — | 2 | 2 | no | — |
| 103 | #63578 | — | 2 | 1 | no | — |
| 104 | #63568 | — | 2 | 2 | no | — |
| 105 | #63549 | — | 2 | 2 | no | — |
| 106 | #63546 | — | 2 | 2 | no | — |
| 107 | #33688 | — | 9 | 1 | no | Sylow |
| 108 | #5768 | — | 3 | 2 | no | — |
| 109 | #5750 | — | 6 | 2 | no | — |
| 110 | #5548 | — | 6 | 2 | no | — |
| 111 | #5548 | — | 6 | 2 | no | — |
| 112 | C3×#509 | — | 3 | 2 | no | — |
| 113 | C3×#444 | — | 3 | 2 | no | — |
| 114 | C3×#442 | — | 2 | 1 | no | — |
| 115 | C3×#442 | C2×D3 | 1 | 2 | yes | complemented |
| 116 | #5196 | — | 3 | 2 | no | — |
| 117 | #5193 | — | 3 | 2 | no | — |
| 118 | #5159 | — | 3 | 2 | no | — |
| 119 | #5159 | — | 6 | 1 | no | — |
| 120 | #5151 | — | 3 | 2 | no | — |
| 121 | #5151 | — | 6 | 1 | no | — |
| 122 | #5147 | C2×D3 | 1 | 2 | yes | — |
| 123 | #5144 | — | 6 | 2 | no | — |
| 124 | #5014 | — | 6 | 2 | no | — |
| 125 | #5014 | — | 6 | 2 | no | — |
| 126 | #4908 | — | 3 | 2 | no | — |
| 127 | #4895 | — | 3 | 2 | no | — |
| 128 | #4893 | — | 3 | 2 | no | — |
| 129 | #4865 | — | 3 | 2 | no | — |
| 130 | #4865 | — | 6 | 1 | no | — |
| 131 | #4855 | — | 3 | 2 | no | — |
| 132 | #4855 | — | 6 | 1 | no | — |
| 133 | #4823 | — | 6 | 2 | no | — |
| 134 | D3×#104 | — | 6 | 2 | no | — |
| 135 | #4782 | — | 6 | 2 | no | — |
| 136 | #4782 | — | 6 | 2 | no | — |
| 137 | #4760 | — | 6 | 2 | no | — |
| 138 | #4760 | — | 6 | 2 | no | — |
| 139 | #4717 | C2×D3 | 1 | 2 | yes | — |
| 140 | #4711 | — | 3 | 2 | no | — |
| 141 | #4711 | — | 6 | 1 | no | — |
| 142 | #4707 | — | 3 | 2 | no | — |
| 143 | #4707 | — | 6 | 1 | no | — |
| 144 | C3×#365 | — | 3 | 2 | no | — |
| 145 | C3×#361 | — | 3 | 2 | no | — |
| 146 | C3×#360 | — | 3 | 2 | no | — |
| 147 | C3×#347 | — | 3 | 2 | no | — |
| 148 | #4566 | — | 3 | 2 | no | — |
| 149 | #4563 | C2×D3 | 1 | 2 | yes | complemented |
| 150 | #4518 | — | 3 | 2 | no | — |
| 151 | #4516 | — | 3 | 2 | no | — |
| 152 | #4514 | — | 3 | 2 | no | — |
| 153 | #4514 | — | 3 | 2 | no | — |
| 154 | #4513 | — | 3 | 2 | no | — |
| 155 | #4511 | — | 3 | 2 | no | — |
| 156 | #4511 | — | 3 | 2 | no | — |
| 157 | #4495 | — | 3 | 2 | no | — |
| 158 | #4494 | — | 3 | 2 | no | — |
| 159 | #4488 | C2×D3 | 1 | 2 | yes | — |
| 160 | #4487 | C2×D3 | 1 | 2 | yes | complemented |
| 161 | #4466 | C2×D3 | 1 | 2 | yes | complemented |
| 162 | C2×C32×D4 | — | 2 | 1 | no | — |
| 163 | C22×C32×C4 | — | 4 | 1 | no | — |
| 164 | C2×#638 | — | 4 | 1 | no | — |
| 165 | C2×#638 | — | 4 | 1 | no | — |
| 166 | C2×#638 | — | 4 | 1 | no | — |
| 167 | #3828 | — | 8 | 4 | no | — |
| 168 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 169 | C2×C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 170 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 171 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 172 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C2×#634 | — | 4 | 1 | no | — |
| 174 | C3×#235 | — | 2 | 2 | no | — |
| 175 | #3811 | — | 4 | 1 | no | — |
| 176 | #3805 | — | 4 | 1 | no | — |
| 177 | #3802 | — | 2 | 1 | no | — |
| 178 | C4×D32 | — | 4 | 1 | no | — |
| 179 | #3798 | — | 4 | 1 | no | — |
| 180 | #3797 | — | 2 | 1 | no | — |
| 181 | #3796 | — | 2 | 2 | no | — |
| 182 | C32×D8 | — | 2 | 2 | no | — |
| 183 | C2×C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 185 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 186 | C32×C22⋊C4 | — | 4 | 1 | no | — |
| 187 | C32×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | #3757 | — | 4 | 1 | no | — |
| 189 | #3753 | — | 4 | 2 | no | — |
| 190 | #3752 | — | 4 | 1 | no | — |
| 191 | #3752 | — | 4 | 1 | no | — |
| 192 | C4⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 193 | #3750 | — | 4 | 1 | no | — |
| 194 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 195 | C4×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | #3745 | — | 2 | 2 | no | — |
| 199 | #3743 | — | 2 | 2 | no | — |
| 200 | #3743 | — | 2 | 2 | no | — |
| 201 | C3×#208 | — | 2 | 2 | no | — |
| 202 | C3×Dic12 | #41 | 1 | 2 | yes | complemented |
| 203 | C3×D24 | #41 | 1 | 2 | yes | complemented |
| 204 | C3×#204 | — | 2 | 2 | no | — |
| 205 | C3×ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 206 | C3×D3×C8 | — | 4 | 2 | no | — |
| 207 | #3718 | — | 2 | 1 | no | — |
| 208 | #3715 | — | 2 | 2 | no | — |
| 209 | #3713 | — | 2 | 1 | no | — |
| 210 | #3712 | — | 4 | 1 | no | — |
| 211 | #3711 | — | 4 | 2 | no | — |
| 212 | #3710 | — | 4 | 1 | no | — |
| 213 | D3×C3⋊C8 | — | 4 | 2 | no | — |
| 214 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 215 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 216 | #3184 | — | 9 | 1 | no | — |
| 217 | #2956 | — | 9 | 1 | no | — |
| 218 | #2238 | — | 9 | 1 | no | — |
| 219 | #2238 | — | 9 | 1 | no | — |
| 220 | #2230 | — | 9 | 2 | no | — |
| 221 | #2213 | — | 9 | 2 | no | — |
| 222 | #2190 | — | 9 | 1 | no | — |
| 223 | #2190 | — | 9 | 1 | no | — |
| 224 | AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 225 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 226 | #2165 | — | 9 | 1 | no | — |
| 227 | D3×#41 | — | 6 | 2 | no | — |
| 228 | C2×#235 | — | 12 | 2 | no | — |
| 229 | C2×#235 | — | 12 | 2 | no | — |
| 230 | C3×#135 | — | 3 | 2 | no | — |
| 231 | C2×C3×D8 | — | 2 | 1 | no | — |
| 232 | C2×C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 233 | C3×#131 | — | 6 | 2 | no | — |
| 234 | C3×C4×D4 | — | 2 | 2 | no | — |
| 235 | C3×C4×D4 | — | 2 | 2 | no | — |
| 236 | #950 | — | 6 | 2 | no | — |
| 237 | #948 | — | 6 | 2 | no | — |
| 238 | #940 | — | 6 | 2 | no | — |
| 239 | #940 | — | 6 | 2 | no | — |
| 240 | #938 | — | 6 | 2 | no | — |
| 241 | #938 | — | 6 | 2 | no | — |
| 242 | C2×#213 | — | 6 | 2 | no | — |
| 243 | C2×#213 | — | 6 | 2 | no | — |
| 244 | C4×#67 | — | 12 | 2 | no | — |
| 245 | C4×#67 | — | 12 | 2 | no | — |
| 246 | #918 | — | 6 | 2 | no | — |
| 247 | #915 | — | 6 | 2 | no | — |
| 248 | #914 | — | 6 | 2 | no | — |
| 249 | #911 | — | 6 | 2 | no | — |
| 250 | #907 | — | 6 | 2 | no | — |
| 251 | #907 | — | 12 | 2 | no | — |
| 252 | D3×M16 | — | 6 | 2 | no | — |
| 253 | D3×M16 | — | 12 | 2 | no | — |
| 254 | #904 | C22×D3 | 1 | 2 | yes | — |
| 255 | C2×D24 | — | 3 | 2 | no | — |
| 256 | C2×D24 | — | 6 | 1 | no | — |
| 257 | #901 | — | 2 | 2 | no | — |
| 258 | #901 | — | 12 | 2 | no | — |
| 259 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 260 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 261 | C2×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 262 | C2×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 263 | C2×ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 264 | #895 | — | 6 | 2 | no | — |
| 265 | #895 | — | 6 | 2 | no | — |
| 266 | #888 | — | 6 | 2 | no | — |
| 267 | #888 | — | 6 | 2 | no | — |
| 268 | #885 | — | 12 | 2 | no | — |
| 269 | #885 | — | 12 | 2 | no | — |
| 270 | #884 | — | 12 | 2 | no | — |
| 271 | #884 | — | 12 | 2 | no | — |
| 272 | C4×D12 | — | 6 | 2 | no | — |
| 273 | C4×D12 | — | 6 | 2 | no | — |
| 274 | C42×D3 | — | 3 | 2 | no | — |
| 275 | C42×D3 | — | 6 | 1 | no | — |
| 276 | C3×SD32 | — | 6 | 2 | no | — |
| 277 | C3×D16 | — | 6 | 2 | no | — |
| 278 | C3×M32 | — | 3 | 2 | no | — |
| 279 | C3×M32 | — | 3 | 2 | no | — |
| 280 | C3×#108 | — | 3 | 2 | no | — |
| 281 | C3×#106 | — | 2 | 1 | no | — |
| 282 | C3×#106 | C22×D3 | 1 | 2 | yes | — |
| 283 | C3×#104 | — | 6 | 2 | no | — |
| 284 | C3×#102 | — | 2 | 2 | no | — |
| 285 | C3×#102 | — | 2 | 2 | no | — |
| 286 | C3×#97 | — | 2 | 1 | no | — |
| 287 | C3×#97 | C22×D3 | 1 | 2 | yes | — |
| 288 | #837 | — | 6 | 2 | no | — |
| 289 | #832 | — | 6 | 2 | no | — |
| 290 | #832 | — | 6 | 2 | no | — |
| 291 | #828 | — | 6 | 2 | no | — |
| 292 | #827 | — | 2 | 2 | no | — |
| 293 | #826 | — | 2 | 2 | no | — |
| 294 | #826 | — | 6 | 2 | no | — |
| 295 | #825 | — | 6 | 2 | no | — |
| 296 | #822 | — | 6 | 2 | no | — |
| 297 | #821 | — | 6 | 2 | no | — |
| 298 | #821 | — | 6 | 2 | no | — |
| 299 | #819 | C22×D3 | 1 | 2 | yes | — |
| 300 | #817 | — | 3 | 2 | no | — |
| 301 | #817 | — | 6 | 1 | no | — |
| 302 | C8×Dic3 | — | 3 | 2 | no | — |
| 303 | C8×Dic3 | — | 3 | 2 | no | — |
| 304 | C8×Dic3 | — | 6 | 1 | no | — |
| 305 | C8×Dic3 | — | 6 | 1 | no | — |
| 306 | #812 | C22×D3 | 1 | 2 | yes | — |
| 307 | #812 | C22×D3 | 1 | 2 | yes | — |
| 308 | #809 | — | 6 | 2 | no | — |
| 309 | #809 | — | 6 | 2 | no | — |
| 310 | #808 | — | 6 | 2 | no | — |
| 311 | #808 | — | 6 | 2 | no | — |
| 312 | #805 | — | 2 | 2 | no | — |
| 313 | #803 | — | 3 | 2 | no | — |
| 314 | #803 | — | 6 | 1 | no | — |
| 315 | #800 | — | 6 | 2 | no | — |
| 316 | D48 | — | 6 | 2 | no | — |
| 317 | C23×C32 | — | 4 | 1 | no | — |
| 318 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 319 | C22×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 320 | C2×D32 | — | 4 | 1 | no | — |
| 321 | C32×D4 | — | 4 | 1 | no | — |
| 322 | C32×D4 | — | 4 | 1 | no | — |
| 323 | C2×C32×C4 | — | 2 | 1 | no | — |
| 324 | C2×C32×C4 | — | 4 | 1 | no | — |
| 325 | C2×C32×C4 | — | 8 | 2 | no | — |
| 326 | C2×C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 327 | #638 | — | 8 | 2 | no | — |
| 328 | #638 | — | 8 | 2 | no | — |
| 329 | #638 | — | 8 | 2 | no | — |
| 330 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 331 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 332 | C2×C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 333 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 334 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 335 | C4⋊(C3⋊D3) | — | 8 | 2 | no | — |
| 336 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 337 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 338 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 339 | C4×C3⋊D3 | — | 8 | 2 | no | — |
| 340 | #634 | — | 8 | 2 | no | — |
| 341 | C3×#67 | — | 4 | 2 | no | — |
| 342 | C3×D12 | — | 2 | 2 | no | — |
| 343 | C3×C4×D3 | — | 4 | 2 | no | — |
| 344 | C3×Dic6 | — | 2 | 2 | no | — |
| 345 | #627 | — | 4 | 1 | no | — |
| 346 | #626 | — | 4 | 2 | no | — |
| 347 | #625 | — | 4 | 1 | no | — |
| 348 | #624 | — | 4 | 1 | no | — |
| 349 | D3×Dic3 | — | 4 | 2 | no | — |
| 350 | C32×C8 | — | 2 | 1 | no | — |
| 351 | C32×C8 | C2×#41 | 1 | 2 | yes | — |
| 352 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 353 | C3⋊(C3⋊C8) | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 354 | C3×C3⋊C8 | — | 4 | 2 | no | — |
| 355 | #575 | — | 9 | 1 | no | — |
| 356 | #568 | — | 18 | 1 | no | — |
| 357 | #532 | — | 18 | 1 | no | — |
| 358 | #509 | — | 3 | 2 | no | — |
| 359 | #509 | — | 9 | 2 | no | — |
| 360 | #498 | — | 9 | 1 | no | — |
| 361 | #493 | — | 9 | 1 | no | — |
| 362 | #486 | — | 18 | 1 | no | — |
| 363 | #469 | — | 9 | 1 | no | — |
| 364 | #469 | — | 9 | 1 | no | — |
| 365 | #469 | — | 18 | 1 | no | — |
| 366 | #444 | — | 3 | 2 | no | — |
| 367 | #444 | — | 18 | 1 | no | — |
| 368 | #443 | — | 9 | 2 | no | — |
| 369 | #443 | — | 18 | 1 | no | — |
| 370 | #442 | — | 9 | 1 | no | — |
| 371 | #442 | — | 18 | 1 | no | — |
| 372 | #442 | D32 | 1 | 1 | yes | characteristic, complemented |
| 373 | #430 | — | 9 | 1 | no | — |
| 374 | C2×#104 | — | 18 | 1 | no | — |
| 375 | C4×M16 | — | 9 | 1 | no | — |
| 376 | #365 | — | 3 | 2 | no | — |
| 377 | #365 | — | 9 | 2 | no | — |
| 378 | #364 | — | 9 | 2 | no | — |
| 379 | #361 | — | 3 | 2 | no | — |
| 380 | #361 | — | 9 | 2 | no | — |
| 381 | #360 | — | 3 | 2 | no | — |
| 382 | #360 | — | 9 | 2 | no | — |
| 383 | #349 | — | 9 | 1 | no | — |
| 384 | #349 | — | 9 | 1 | no | — |
| 385 | #347 | — | 3 | 2 | no | — |
| 386 | C3×#41 | — | 6 | 2 | no | — |
| 387 | C2×C3×D4 | — | 2 | 2 | no | — |
| 388 | C2×C3×D4 | — | 2 | 2 | no | — |
| 389 | C22×C3×C4 | — | 4 | 2 | no | — |
| 390 | C22×C3×C4 | — | 4 | 2 | no | — |
| 391 | C2×#67 | — | 12 | 2 | no | — |
| 392 | C2×#67 | — | 12 | 2 | no | — |
| 393 | C2×#67 | — | 12 | 2 | no | — |
| 394 | C2×#67 | — | 12 | 2 | no | — |
| 395 | C2×#67 | — | 12 | 2 | no | — |
| 396 | C2×#67 | — | 12 | 2 | no | — |
| 397 | #239 | — | 6 | 2 | no | — |
| 398 | D3×Q8 | — | 6 | 2 | no | — |
| 399 | #237 | — | 6 | 2 | no | — |
| 400 | #237 | — | 12 | 2 | no | — |
| 401 | D3×D4 | — | 6 | 2 | no | — |
| 402 | D3×D4 | — | 12 | 2 | no | — |
| 403 | #235 | — | 2 | 2 | no | — |
| 404 | #235 | — | 12 | 2 | no | — |
| 405 | #235 | — | 24 | 8 | no | — |
| 406 | #235 | — | 24 | 8 | no | — |
| 407 | C2×D12 | — | 6 | 2 | no | — |
| 408 | C2×D12 | — | 6 | 2 | no | — |
| 409 | C2×D12 | — | 12 | 2 | no | — |
| 410 | C2×D12 | — | 12 | 2 | no | — |
| 411 | C2×C4×D3 | — | 3 | 2 | no | — |
| 412 | C2×C4×D3 | — | 6 | 1 | no | — |
| 413 | C2×C4×D3 | — | 6 | 2 | no | — |
| 414 | C2×C4×D3 | — | 6 | 2 | no | — |
| 415 | C2×C4×D3 | — | 12 | 2 | no | — |
| 416 | C2×C4×D3 | — | 12 | 2 | no | — |
| 417 | C2×C4×D3 | — | 12 | 2 | no | — |
| 418 | C2×Dic6 | — | 12 | 2 | no | — |
| 419 | C2×Dic6 | — | 12 | 2 | no | — |
| 420 | C3×Q16 | — | 3 | 2 | no | — |
| 421 | C3×SD16 | — | 6 | 2 | no | — |
| 422 | C3×D8 | — | 2 | 2 | no | — |
| 423 | C3×D8 | — | 2 | 2 | no | — |
| 424 | C3×D8 | — | 3 | 2 | no | — |
| 425 | C3×D8 | — | 4 | 2 | no | — |
| 426 | C3×M16 | — | 6 | 2 | no | — |
| 427 | C3×M16 | — | 12 | 2 | no | — |
| 428 | C2×C3×C8 | — | 2 | 1 | no | — |
| 429 | C2×C3×C8 | — | 2 | 1 | no | — |
| 430 | C2×C3×C8 | — | 12 | 2 | no | — |
| 431 | C2×C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 432 | C2×C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 433 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 434 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 435 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 436 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 437 | C3×C42 | — | 2 | 1 | no | — |
| 438 | C3×C42 | D3×D4 | 1 | 2 | yes | — |
| 439 | #217 | — | 12 | 2 | no | — |
| 440 | #217 | — | 12 | 2 | no | — |
| 441 | #216 | — | 6 | 2 | no | — |
| 442 | #215 | — | 6 | 2 | no | — |
| 443 | #214 | — | 6 | 2 | no | — |
| 444 | #213 | — | 6 | 2 | no | — |
| 445 | #213 | — | 12 | 2 | no | — |
| 446 | #213 | — | 12 | 2 | no | — |
| 447 | #213 | — | 12 | 4 | no | — |
| 448 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 449 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 450 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 451 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 452 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 453 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 454 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 455 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 456 | C4×Dic3 | — | 3 | 2 | no | — |
| 457 | C4×Dic3 | — | 6 | 1 | no | — |
| 458 | C4×Dic3 | — | 6 | 2 | no | — |
| 459 | C4×Dic3 | — | 6 | 2 | no | — |
| 460 | #208 | — | 2 | 2 | no | — |
| 461 | #208 | — | 12 | 2 | no | — |
| 462 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 463 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 464 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 465 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 466 | C2×C3⋊C8 | — | 12 | 2 | no | — |
| 467 | Dic12 | #235 | 1 | 2 | yes | complemented |
| 468 | D24 | — | 6 | 2 | no | — |
| 469 | D24 | — | 6 | 2 | no | — |
| 470 | D24 | — | 12 | 2 | no | — |
| 471 | D24 | #235 | 1 | 2 | yes | complemented |
| 472 | #204 | — | 2 | 2 | no | — |
| 473 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 474 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 475 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 476 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 477 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 478 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 479 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 480 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 481 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 482 | D3×C8 | — | 4 | 2 | no | — |
| 483 | D3×C8 | — | 12 | 2 | no | — |
| 484 | D3×C8 | — | 12 | 2 | no | — |
| 485 | C3×C16 | — | 6 | 2 | no | — |
| 486 | C3×C16 | — | 6 | 2 | no | — |
| 487 | C3⋊C16 | — | 2 | 2 | no | — |
| 488 | C3⋊C16 | — | 2 | 2 | no | — |
| 489 | C22×C32 | — | 8 | 1 | no | — |
| 490 | C22×C32 | — | 8 | 1 | no | — |
| 491 | C22×C32 | — | 8 | 1 | no | — |
| 492 | C22×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 493 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 494 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 495 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 496 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 497 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 498 | C2×C3×D3 | — | 4 | 2 | no | — |
| 499 | D32 | — | 16 | 1 | no | — |
| 500 | C32×C4 | — | 4 | 1 | no | — |
| 501 | C32×C4 | — | 8 | 1 | no | — |
| 502 | C32×C4 | #525 | 1 | 1 | yes | characteristic |
| 503 | C32×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 504 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 505 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 506 | C3⋊Dic3 | — | 8 | 1 | no | — |
| 507 | C3×Dic3 | — | 4 | 2 | no | — |
| 508 | C2×#41 | — | 18 | 1 | no | — |
| 509 | C2×#41 | — | 36 | 1 | no | — |
| 510 | #137 | — | 18 | 2 | no | — |
| 511 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 512 | #135 | — | 3 | 2 | no | — |
| 513 | #135 | — | 18 | 1 | no | — |
| 514 | C2×D8 | — | 9 | 1 | no | — |
| 515 | C2×D8 | — | 18 | 1 | no | — |
| 516 | C2×D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 517 | #131 | — | 6 | 2 | no | — |
| 518 | #131 | — | 18 | 2 | no | — |
| 519 | #131 | — | 36 | 2 | no | — |
| 520 | C2×M16 | — | 9 | 1 | no | — |
| 521 | C2×M16 | — | 9 | 1 | no | — |
| 522 | C2×M16 | — | 18 | 1 | no | — |
| 523 | C2×M16 | — | 36 | 2 | no | — |
| 524 | C4⋊Q8 | — | 18 | 1 | no | — |
| 525 | #127 | — | 18 | 1 | no | — |
| 526 | #124 | — | 36 | 1 | no | — |
| 527 | #121 | — | 18 | 1 | no | — |
| 528 | #121 | — | 18 | 1 | no | — |
| 529 | #121 | — | 36 | 1 | no | — |
| 530 | C4×D4 | — | 2 | 1 | no | — |
| 531 | C4×D4 | — | 18 | 1 | no | — |
| 532 | C4×D4 | — | 36 | 1 | no | — |
| 533 | C2×C42 | — | 9 | 1 | no | — |
| 534 | SD32 | — | 6 | 2 | no | — |
| 535 | SD32 | — | 18 | 2 | no | — |
| 536 | D16 | — | 6 | 2 | no | — |
| 537 | D16 | — | 18 | 2 | no | — |
| 538 | M32 | — | 3 | 2 | no | — |
| 539 | M32 | — | 3 | 2 | no | — |
| 540 | #108 | — | 3 | 2 | no | — |
| 541 | #108 | — | 18 | 1 | no | — |
| 542 | #106 | — | 9 | 1 | no | — |
| 543 | #106 | — | 18 | 1 | no | — |
| 544 | #106 | C2×D32 | 1 | 1 | yes | characteristic |
| 545 | #104 | — | 6 | 2 | no | — |
| 546 | #104 | — | 18 | 2 | no | — |
| 547 | #102 | — | 2 | 1 | no | — |
| 548 | #102 | — | 18 | 1 | no | — |
| 549 | #102 | — | 18 | 1 | no | — |
| 550 | #102 | — | 18 | 1 | no | — |
| 551 | #97 | — | 9 | 1 | no | — |
| 552 | #97 | C2×D32 | 1 | 1 | yes | characteristic |
| 553 | C4×C8 | — | 9 | 1 | no | — |
| 554 | C4×C8 | — | 9 | 1 | no | — |
| 555 | C23×C3 | — | 4 | 2 | no | — |
| 556 | C23×C3 | — | 4 | 2 | no | — |
| 557 | C22×D3 | — | 3 | 2 | no | — |
| 558 | C22×D3 | — | 6 | 1 | no | — |
| 559 | C22×D3 | — | 12 | 2 | no | — |
| 560 | C22×D3 | — | 12 | 2 | no | — |
| 561 | C22×D3 | — | 12 | 2 | no | — |
| 562 | C3×Q8 | — | 6 | 2 | no | — |
| 563 | C3×D4 | — | 4 | 2 | no | — |
| 564 | C3×D4 | — | 4 | 2 | no | — |
| 565 | C3×D4 | — | 4 | 2 | no | — |
| 566 | C3×D4 | — | 4 | 2 | no | — |
| 567 | C3×D4 | — | 6 | 2 | no | — |
| 568 | C3×D4 | — | 12 | 2 | no | — |
| 569 | C2×C3×C4 | — | 2 | 2 | no | — |
| 570 | C2×C3×C4 | — | 2 | 2 | no | — |
| 571 | C2×C3×C4 | — | 2 | 1 | no | — |
| 572 | C2×C3×C4 | — | 4 | 2 | no | — |
| 573 | C2×C3×C4 | — | 4 | 2 | no | — |
| 574 | C2×C3×C4 | — | 8 | 4 | no | — |
| 575 | C2×C3×C4 | — | 8 | 4 | no | — |
| 576 | C2×C3×C4 | — | 12 | 2 | no | — |
| 577 | C2×C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 578 | #67 | — | 4 | 2 | no | — |
| 579 | #67 | — | 12 | 2 | no | — |
| 580 | #67 | — | 12 | 2 | no | — |
| 581 | #67 | — | 24 | 4 | no | — |
| 582 | #67 | — | 24 | 4 | no | — |
| 583 | #67 | — | 24 | 4 | no | — |
| 584 | #67 | — | 24 | 4 | no | — |
| 585 | #67 | — | 24 | 4 | no | — |
| 586 | #67 | — | 24 | 4 | no | — |
| 587 | C2×Dic3 | — | 3 | 2 | no | — |
| 588 | C2×Dic3 | — | 6 | 1 | no | — |
| 589 | C2×Dic3 | — | 6 | 2 | no | — |
| 590 | C2×Dic3 | — | 6 | 2 | no | — |
| 591 | C2×Dic3 | — | 12 | 2 | no | — |
| 592 | C2×Dic3 | — | 12 | 2 | no | — |
| 593 | C2×Dic3 | — | 12 | 2 | no | — |
| 594 | D12 | — | 2 | 2 | no | — |
| 595 | D12 | — | 12 | 2 | no | — |
| 596 | D12 | — | 12 | 2 | no | — |
| 597 | D12 | — | 12 | 2 | no | — |
| 598 | D12 | — | 12 | 2 | no | — |
| 599 | D12 | — | 12 | 2 | no | — |
| 600 | D12 | — | 24 | 4 | no | — |
| 601 | D12 | — | 24 | 4 | no | — |
| 602 | C4×D3 | — | 4 | 2 | no | — |
| 603 | C4×D3 | — | 6 | 2 | no | — |
| 604 | C4×D3 | — | 6 | 2 | no | — |
| 605 | C4×D3 | — | 12 | 1 | no | — |
| 606 | C4×D3 | — | 12 | 1 | no | — |
| 607 | C4×D3 | — | 12 | 2 | no | — |
| 608 | C4×D3 | — | 12 | 4 | no | — |
| 609 | C4×D3 | — | 12 | 4 | no | — |
| 610 | C4×D3 | — | 12 | 2 | no | — |
| 611 | C4×D3 | — | 24 | 4 | no | — |
| 612 | C4×D3 | — | 24 | 4 | no | — |
| 613 | Dic6 | — | 2 | 2 | no | — |
| 614 | Dic6 | — | 12 | 2 | no | — |
| 615 | Dic6 | — | 24 | 4 | no | — |
| 616 | Dic6 | — | 24 | 4 | no | — |
| 617 | C3×C8 | — | 2 | 2 | no | — |
| 618 | C3×C8 | — | 2 | 2 | no | — |
| 619 | C3×C8 | — | 4 | 1 | no | — |
| 620 | C3×C8 | — | 12 | 2 | no | — |
| 621 | C3×C8 | C2×#235 | 1 | 2 | yes | — |
| 622 | C3×C8 | D3×#41 | 1 | 2 | yes | — |
| 623 | C3⋊C8 | — | 3 | 2 | no | — |
| 624 | C3⋊C8 | — | 3 | 2 | no | — |
| 625 | C3⋊C8 | — | 4 | 2 | no | — |
| 626 | C3⋊C8 | — | 6 | 2 | no | — |
| 627 | C3⋊C8 | — | 6 | 2 | no | — |
| 628 | C3⋊C8 | — | 12 | 1 | no | — |
| 629 | C2×C32 | — | 2 | 1 | no | — |
| 630 | C2×C32 | — | 16 | 1 | no | — |
| 631 | C2×C32 | #3109 | 1 | 1 | yes | characteristic |
| 632 | C3⋊D3 | — | 4 | 1 | no | — |
| 633 | C3⋊D3 | — | 16 | 1 | no | — |
| 634 | C3×D3 | — | 8 | 2 | no | — |
| 635 | #41 | — | 6 | 2 | no | — |
| 636 | #41 | — | 18 | 2 | no | — |
| 637 | #41 | — | 36 | 1 | no | — |
| 638 | #41 | — | 36 | 1 | no | — |
| 639 | #41 | — | 72 | 4 | no | — |
| 640 | C2×Q8 | — | 18 | 1 | no | — |
| 641 | C2×Q8 | — | 36 | 1 | no | — |
| 642 | C2×D4 | — | 2 | 1 | no | — |
| 643 | C2×D4 | — | 18 | 1 | no | — |
| 644 | C2×D4 | — | 18 | 1 | no | — |
| 645 | C2×D4 | — | 36 | 1 | no | — |
| 646 | C2×D4 | — | 36 | 1 | no | — |
| 647 | C2×D4 | — | 36 | 1 | no | — |
| 648 | C2×D4 | — | 36 | 1 | no | — |
| 649 | C2×D4 | — | 36 | 1 | no | — |
| 650 | C22×C4 | — | 4 | 1 | no | — |
| 651 | C22×C4 | — | 9 | 1 | no | — |
| 652 | C22×C4 | — | 18 | 1 | no | — |
| 653 | C22×C4 | — | 36 | 1 | no | — |
| 654 | C22×C4 | — | 36 | 1 | no | — |
| 655 | Q16 | — | 3 | 2 | no | — |
| 656 | Q16 | — | 18 | 1 | no | — |
| 657 | SD16 | — | 6 | 2 | no | — |
| 658 | SD16 | — | 18 | 2 | no | — |
| 659 | D8 | — | 2 | 2 | no | — |
| 660 | D8 | — | 3 | 2 | no | — |
| 661 | D8 | — | 18 | 1 | no | — |
| 662 | D8 | — | 18 | 2 | no | — |
| 663 | D8 | — | 36 | 2 | no | — |
| 664 | M16 | — | 6 | 2 | no | — |
| 665 | M16 | — | 12 | 2 | no | — |
| 666 | M16 | — | 18 | 2 | no | — |
| 667 | M16 | — | 18 | 2 | no | — |
| 668 | M16 | — | 36 | 2 | no | — |
| 669 | M16 | — | 36 | 1 | no | — |
| 670 | C2×C8 | — | 9 | 1 | no | — |
| 671 | C2×C8 | — | 9 | 1 | no | — |
| 672 | C2×C8 | — | 12 | 2 | no | — |
| 673 | C2×C8 | — | 36 | 2 | no | — |
| 674 | C2×C8 | — | 36 | 1 | no | — |
| 675 | C2×C8 | #3811 | 1 | 1 | yes | characteristic |
| 676 | C2×C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 677 | C4⋊C4 | — | 2 | 1 | no | — |
| 678 | C4⋊C4 | — | 18 | 1 | no | — |
| 679 | C4⋊C4 | — | 36 | 1 | no | — |
| 680 | C22⋊C4 | — | 4 | 1 | no | — |
| 681 | C22⋊C4 | — | 36 | 1 | no | — |
| 682 | C22⋊C4 | — | 36 | 1 | no | — |
| 683 | C22⋊C4 | — | 36 | 1 | no | — |
| 684 | C42 | — | 9 | 1 | no | — |
| 685 | C42 | — | 18 | 1 | no | — |
| 686 | C42 | #3811 | 1 | 1 | yes | characteristic |
| 687 | C16 | — | 6 | 2 | no | — |
| 688 | C16 | — | 6 | 2 | no | — |
| 689 | C22×C3 | — | 2 | 1 | no | — |
| 690 | C22×C3 | — | 8 | 2 | no | — |
| 691 | C22×C3 | — | 8 | 2 | no | — |
| 692 | C22×C3 | — | 8 | 2 | no | — |
| 693 | C22×C3 | — | 8 | 2 | no | — |
| 694 | C22×C3 | — | 8 | 2 | no | — |
| 695 | C22×C3 | — | 8 | 2 | no | — |
| 696 | C22×C3 | — | 12 | 2 | no | — |
| 697 | C22×C3 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 698 | C2×D3 | — | 4 | 2 | no | — |
| 699 | C2×D3 | — | 6 | 2 | no | — |
| 700 | C2×D3 | — | 12 | 1 | no | — |
| 701 | C2×D3 | — | 12 | 2 | no | — |
| 702 | C2×D3 | — | 12 | 2 | no | — |
| 703 | C2×D3 | — | 24 | 2 | no | — |
| 704 | C2×D3 | — | 24 | 2 | no | — |
| 705 | C2×D3 | — | 24 | 2 | no | — |
| 706 | C2×D3 | — | 24 | 2 | no | — |
| 707 | C2×D3 | — | 24 | 2 | no | — |
| 708 | C2×D3 | — | 24 | 2 | no | — |
| 709 | C2×D3 | — | 48 | 2 | no | — |
| 710 | C3×C4 | — | 2 | 1 | no | — |
| 711 | C3×C4 | — | 2 | 1 | no | — |
| 712 | C3×C4 | — | 4 | 2 | no | — |
| 713 | C3×C4 | — | 4 | 2 | no | — |
| 714 | C3×C4 | — | 8 | 2 | no | — |
| 715 | C3×C4 | — | 8 | 2 | no | — |
| 716 | C3×C4 | — | 12 | 2 | no | — |
| 717 | C3×C4 | #5547 | 1 | 2 | yes | — |
| 718 | C3×C4 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 719 | Dic3 | — | 4 | 2 | no | — |
| 720 | Dic3 | — | 6 | 4 | no | — |
| 721 | Dic3 | — | 6 | 4 | no | — |
| 722 | Dic3 | — | 6 | 2 | no | — |
| 723 | Dic3 | — | 12 | 1 | no | — |
| 724 | Dic3 | — | 24 | 2 | no | — |
| 725 | Dic3 | — | 24 | 2 | no | — |
| 726 | C32 | #33688 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 727 | C23 | — | 4 | 1 | no | — |
| 728 | C23 | — | 9 | 1 | no | — |
| 729 | C23 | — | 36 | 1 | no | — |
| 730 | C23 | — | 36 | 1 | no | — |
| 731 | Q8 | — | 6 | 2 | no | — |
| 732 | Q8 | — | 36 | 1 | no | — |
| 733 | Q8 | — | 72 | 2 | no | — |
| 734 | D4 | — | 4 | 1 | no | — |
| 735 | D4 | — | 4 | 1 | no | — |
| 736 | D4 | — | 6 | 2 | no | — |
| 737 | D4 | — | 12 | 2 | no | — |
| 738 | D4 | — | 36 | 2 | no | — |
| 739 | D4 | — | 36 | 1 | no | — |
| 740 | D4 | — | 36 | 1 | no | — |
| 741 | D4 | — | 36 | 1 | no | — |
| 742 | D4 | — | 72 | 2 | no | — |
| 743 | D4 | — | 72 | 2 | no | — |
| 744 | D4 | — | 72 | 2 | no | — |
| 745 | D4 | — | 72 | 2 | no | — |
| 746 | C2×C4 | — | 2 | 1 | no | — |
| 747 | C2×C4 | — | 4 | 1 | no | — |
| 748 | C2×C4 | — | 8 | 2 | no | — |
| 749 | C2×C4 | — | 9 | 1 | no | — |
| 750 | C2×C4 | — | 12 | 2 | no | — |
| 751 | C2×C4 | — | 18 | 1 | no | — |
| 752 | C2×C4 | — | 18 | 1 | no | — |
| 753 | C2×C4 | — | 18 | 1 | no | — |
| 754 | C2×C4 | — | 36 | 2 | no | — |
| 755 | C2×C4 | — | 36 | 1 | no | — |
| 756 | C2×C4 | — | 36 | 2 | no | — |
| 757 | C2×C4 | — | 36 | 1 | no | — |
| 758 | C2×C4 | — | 72 | 2 | no | — |
| 759 | C2×C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 760 | C8 | — | 2 | 1 | no | — |
| 761 | C8 | — | 9 | 2 | no | — |
| 762 | C8 | — | 12 | 2 | no | — |
| 763 | C8 | — | 18 | 1 | no | — |
| 764 | C8 | D3×#235 | 1 | 2 | yes | — |
| 765 | C2×C3 | — | 2 | 2 | no | — |
| 766 | C2×C3 | — | 2 | 2 | no | — |
| 767 | C2×C3 | — | 2 | 1 | no | — |
| 768 | C2×C3 | — | 16 | 2 | no | — |
| 769 | C2×C3 | — | 16 | 2 | no | — |
| 770 | C2×C3 | — | 24 | 2 | no | — |
| 771 | C2×C3 | #79869 | 1 | 2 | yes | — |
| 772 | D3 | — | 8 | 2 | no | — |
| 773 | D3 | — | 12 | 2 | no | — |
| 774 | D3 | — | 24 | 1 | no | — |
| 775 | D3 | — | 48 | 2 | no | — |
| 776 | D3 | — | 48 | 2 | no | — |
| 777 | C22 | — | 8 | 1 | no | — |
| 778 | C22 | — | 8 | 1 | no | — |
| 779 | C22 | — | 8 | 1 | no | — |
| 780 | C22 | — | 12 | 2 | no | — |
| 781 | C22 | — | 18 | 1 | no | — |
| 782 | C22 | — | 36 | 1 | no | — |
| 783 | C22 | — | 72 | 1 | no | — |
| 784 | C22 | — | 72 | 1 | no | — |
| 785 | C22 | — | 72 | 1 | no | — |
| 786 | C22 | — | 144 | 1 | no | — |
| 787 | C22 | #10595100 | 1 | 1 | yes | characteristic |
| 788 | C4 | — | 4 | 1 | no | — |
| 789 | C4 | — | 8 | 1 | no | — |
| 790 | C4 | — | 12 | 2 | no | — |
| 791 | C4 | — | 18 | 2 | no | — |
| 792 | C4 | — | 18 | 1 | no | — |
| 793 | C4 | — | 72 | 1 | no | — |
| 794 | C4 | #10595076 | 1 | 1 | yes | characteristic |
| 795 | C4 | #10595458 | 1 | 1 | yes | characteristic |
| 796 | C3 | — | 2 | 1 | no | — |
| 797 | C3 | #10950417 | 1 | 2 | yes | complemented |
| 798 | C2 | — | 2 | 1 | no | — |
| 799 | C2 | — | 16 | 1 | no | — |
| 800 | C2 | — | 24 | 2 | no | — |
| 801 | C2 | — | 36 | 1 | no | — |
| 802 | C2 | — | 144 | 1 | no | — |
| 803 | C2 | #11871282 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11876966 | C2 | semidirect |
| 2. #11861166 | C2 | semidirect |
| 3. #11799995 | C2 | semidirect |
| 4. #11799987 | C2 | semidirect |
| 5. #11799711 | C2 | semidirect |
| 6. #11799109 | C2 | semidirect |
| 7. #11798287 | C2 | semidirect |
| 8. #11798276 | C2 | semidirect |
| 9. #11797972 | C2 | semidirect |
| 10. C3×#70918 | C2 | semidirect |
| 11. #11797397 | C2 | semidirect |
| 16. C32×#442 | C22 | semidirect |
| 18. #10592850 | C22 | semidirect |
| 21. #10592554 | C22 | semidirect |
| 24. #10592410 | C22 | semidirect |
| 34. C3×#4563 | C22 | semidirect |
| 36. C3×#4487 | C22 | semidirect |
| 37. C3×#4466 | C22 | semidirect |
| 38. #10589137 | C22 | semidirect |
| 39. #10589135 | C22 | semidirect |
| 40. #10589128 | C22 | semidirect |
| 51. #70918 | D3 | semidirect |
| 115. C3×#442 | C2×D3 | semidirect |
| 149. #4563 | C2×D3 | semidirect |
| 160. #4487 | C2×D3 | semidirect |
| 161. #4466 | C2×D3 | semidirect |
| 202. C3×Dic12 | #41 | semidirect |
| 203. C3×D24 | #41 | semidirect |
| 372. #442 | D32 | semidirect |
| 467. Dic12 | #235 | semidirect |
| 471. D24 | #235 | semidirect |
| 726. C32 | #33688 | semidirect |
| 797. C3 | #10950417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11876966 | 2 |
| #11861166 | 2 |
| #11799995 | 2 |
| #11799987 | 2 |
| #11799711 | 2 |
| #11799109 | 2 |
| #11798287 | 2 |
| #11798276 | 2 |
| #11797972 | 2 |
| C3×#70918 | 2 |
| #11797397 | 2 |
| #10950417 | 3 |