Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
1464 conjugacy classes of subgroups.
The subgroup lattice has 839 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11899557 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11861240 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11860686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11797983 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11797980 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11797977 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C3×#69254 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11797138 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C3⋊D3×#361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11796864 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11795943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10948658 | — | 3 | 2 | no | maximal |
| 13 | C2×D8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 14 | #10595223 | — | 2 | 1 | no | — |
| 15 | #10594708 | — | 2 | 1 | no | — |
| 16 | #10594684 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3⋊D3×M32 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3⋊D3×#108 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#5152 | C22 | 1 | 2 | yes | complemented |
| 20 | C3×#5147 | C22 | 1 | 2 | yes | — |
| 21 | C3×#4894 | C22 | 1 | 2 | yes | complemented |
| 22 | #10591426 | — | 2 | 1 | no | — |
| 23 | #10591400 | — | 2 | 2 | no | — |
| 24 | #10591036 | C4 | 1 | 4 | yes | complemented |
| 25 | #10591029 | C4 | 1 | 2 | yes | complemented |
| 26 | #10591025 | C4 | 1 | 2 | yes | complemented |
| 27 | #10591009 | — | 2 | 1 | no | — |
| 28 | #10590975 | — | 2 | 2 | no | — |
| 29 | #10590916 | C22 | 1 | 2 | yes | complemented |
| 30 | #10590768 | C22 | 1 | 2 | yes | complemented |
| 31 | #10590712 | C22 | 1 | 1 | yes | characteristic |
| 32 | #10590703 | C22 | 1 | 1 | yes | characteristic |
| 33 | #10590634 | C22 | 1 | 2 | yes | — |
| 34 | #10590625 | C22 | 1 | 1 | yes | characteristic |
| 35 | C32×#361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #10589429 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #10589382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #10589361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C3×#4518 | C22 | 1 | 2 | yes | complemented |
| 40 | C3×#4512 | C22 | 1 | 2 | yes | complemented |
| 41 | C3×#4494 | C22 | 1 | 2 | yes | complemented |
| 42 | #10589136 | C22 | 1 | 2 | yes | complemented |
| 43 | #10589123 | C22 | 1 | 2 | yes | complemented |
| 44 | #10589105 | C22 | 1 | 2 | yes | complemented |
| 45 | D3×#509 | — | 3 | 2 | no | — |
| 46 | #79899 | — | 3 | 2 | no | — |
| 47 | #79867 | — | 3 | 2 | no | — |
| 48 | C3×AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 49 | #71515 | — | 3 | 2 | no | — |
| 50 | #70929 | — | 3 | 2 | no | — |
| 51 | #70918 | — | 3 | 2 | no | — |
| 52 | #69312 | — | 3 | 2 | no | — |
| 53 | #69310 | — | 3 | 2 | no | — |
| 54 | D3×#361 | — | 3 | 2 | no | — |
| 55 | D3×#361 | — | 6 | 1 | no | — |
| 56 | #69254 | D3 | 1 | 2 | yes | complemented |
| 57 | #69251 | — | 3 | 2 | no | — |
| 58 | #69249 | — | 3 | 2 | no | — |
| 59 | #69091 | — | 3 | 2 | no | — |
| 60 | #69087 | — | 3 | 2 | no | — |
| 61 | C2×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 62 | #64306 | — | 2 | 1 | no | — |
| 63 | C2×C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#3753 | — | 2 | 1 | no | — |
| 65 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 66 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 67 | D8×C3⋊D3 | C2×C4 | 1 | 2 | yes | — |
| 68 | D8×C3⋊D3 | C2×C4 | 1 | 2 | yes | — |
| 69 | M16×C3⋊D3 | — | 2 | 1 | no | — |
| 70 | C2×#3745 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 72 | C3×D4×Dic3 | — | 2 | 2 | no | — |
| 73 | C3×#907 | — | 2 | 2 | no | — |
| 74 | C3×#904 | C23 | 1 | 2 | yes | — |
| 75 | #63974 | — | 4 | 1 | no | — |
| 76 | C2×#3722 | — | 4 | 1 | no | — |
| 77 | #63952 | — | 4 | 2 | no | — |
| 78 | #63894 | — | 2 | 2 | no | — |
| 79 | #63874 | D4 | 1 | 1 | yes | characteristic |
| 80 | #63849 | — | 2 | 1 | no | — |
| 81 | #63822 | — | 2 | 1 | no | — |
| 82 | C2×#3712 | D4 | 1 | 1 | yes | characteristic |
| 83 | #63814 | — | 2 | 2 | no | — |
| 84 | #63810 | C2×C4 | 1 | 2 | yes | complemented |
| 85 | #63809 | — | 2 | 1 | no | — |
| 86 | #63805 | — | 4 | 1 | no | — |
| 87 | #63803 | — | 4 | 1 | no | — |
| 88 | #63802 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 89 | #63797 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 90 | #63796 | — | 2 | 1 | no | — |
| 91 | D3×ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 92 | C32×M32 | C23 | 1 | 1 | yes | characteristic |
| 93 | C32×#108 | C23 | 1 | 1 | yes | characteristic |
| 94 | #63649 | — | 2 | 1 | no | — |
| 95 | #63646 | C23 | 1 | 1 | yes | characteristic |
| 96 | #63639 | C23 | 1 | 1 | yes | characteristic |
| 97 | #63625 | — | 2 | 1 | no | — |
| 98 | C16×C3⋊D3 | — | 2 | 1 | no | — |
| 99 | C3×#832 | — | 2 | 2 | no | — |
| 100 | C3×#827 | C2×C4 | 1 | 4 | yes | complemented |
| 101 | C3×#826 | C2×C4 | 1 | 4 | yes | complemented |
| 102 | C3×#825 | — | 2 | 2 | no | — |
| 103 | C3×#817 | C23 | 1 | 2 | yes | — |
| 104 | C3×#815 | C23 | 1 | 2 | yes | — |
| 105 | C3×#812 | C23 | 1 | 2 | yes | — |
| 106 | #63576 | — | 2 | 1 | no | — |
| 107 | #63569 | — | 2 | 2 | no | — |
| 108 | #63564 | — | 2 | 2 | no | — |
| 109 | Dic3×C3⋊C8 | D4 | 1 | 2 | yes | — |
| 110 | #63549 | C2×C4 | 1 | 4 | yes | complemented |
| 111 | #63546 | C2×C4 | 1 | 4 | yes | complemented |
| 112 | #63544 | C2×C4 | 1 | 2 | yes | complemented |
| 113 | #63542 | C2×C4 | 1 | 2 | yes | complemented |
| 114 | #33471 | — | 9 | 1 | no | Sylow |
| 115 | D3×#135 | — | 3 | 2 | no | — |
| 116 | C2×D3×D8 | — | 3 | 2 | no | — |
| 117 | C2×D3×D8 | — | 6 | 1 | no | — |
| 118 | #5750 | — | 6 | 2 | no | — |
| 119 | #5545 | — | 6 | 2 | no | — |
| 120 | C3×#509 | — | 3 | 2 | no | — |
| 121 | C3×#444 | — | 3 | 2 | no | — |
| 122 | C3×#442 | — | 3 | 2 | no | — |
| 123 | #5197 | — | 3 | 2 | no | — |
| 124 | #5193 | — | 3 | 2 | no | — |
| 125 | #5152 | C2×D3 | 1 | 2 | yes | complemented |
| 126 | #5147 | C2×D3 | 1 | 2 | yes | — |
| 127 | #5144 | — | 6 | 2 | no | — |
| 128 | C4×#213 | — | 6 | 2 | no | — |
| 129 | #4914 | — | 3 | 4 | no | — |
| 130 | D3×SD32 | — | 3 | 4 | no | — |
| 131 | #4911 | — | 3 | 4 | no | — |
| 132 | D3×D16 | — | 3 | 4 | no | — |
| 133 | #4908 | — | 3 | 2 | no | — |
| 134 | D3×M32 | — | 3 | 2 | no | — |
| 135 | D3×M32 | — | 3 | 2 | no | — |
| 136 | D3×M32 | — | 6 | 1 | no | — |
| 137 | #4894 | C2×D3 | 1 | 2 | yes | complemented |
| 138 | D3×#108 | — | 3 | 2 | no | — |
| 139 | D3×#108 | — | 6 | 1 | no | — |
| 140 | #4869 | — | 3 | 2 | no | — |
| 141 | #4860 | — | 3 | 2 | no | — |
| 142 | #4824 | — | 6 | 2 | no | — |
| 143 | #4821 | — | 6 | 2 | no | — |
| 144 | #4770 | — | 6 | 2 | no | — |
| 145 | #4756 | — | 6 | 2 | no | — |
| 146 | #4717 | — | 3 | 2 | no | — |
| 147 | #4711 | — | 3 | 2 | no | — |
| 148 | #4708 | — | 3 | 2 | no | — |
| 149 | C3×#365 | — | 3 | 2 | no | — |
| 150 | C3×#361 | — | 2 | 1 | no | — |
| 151 | C3×#361 | C2×D3 | 1 | 2 | yes | complemented |
| 152 | C3×#360 | — | 3 | 2 | no | — |
| 153 | C3×#347 | — | 3 | 2 | no | — |
| 154 | #4566 | — | 3 | 2 | no | — |
| 155 | #4563 | — | 3 | 2 | no | — |
| 156 | #4563 | — | 6 | 1 | no | — |
| 157 | #4518 | C2×D3 | 1 | 2 | yes | complemented |
| 158 | #4516 | — | 3 | 2 | no | — |
| 159 | #4516 | — | 6 | 1 | no | — |
| 160 | #4513 | — | 3 | 2 | no | — |
| 161 | #4512 | — | 3 | 2 | no | — |
| 162 | #4512 | C2×D3 | 1 | 2 | yes | complemented |
| 163 | #4495 | — | 3 | 2 | no | — |
| 164 | #4495 | — | 6 | 1 | no | — |
| 165 | #4494 | C2×D3 | 1 | 2 | yes | complemented |
| 166 | #4488 | — | 3 | 2 | no | — |
| 167 | #4487 | — | 3 | 2 | no | — |
| 168 | #4466 | — | 3 | 2 | no | — |
| 169 | C23×C3⋊D3 | — | 4 | 1 | no | — |
| 170 | C2×C32×D4 | — | 2 | 1 | no | — |
| 171 | C2×#638 | — | 4 | 1 | no | — |
| 172 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 173 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 174 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 175 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 176 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 177 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C22×C3×Dic3 | — | 4 | 2 | no | — |
| 179 | C3×#235 | — | 2 | 2 | no | — |
| 180 | #3811 | — | 4 | 1 | no | — |
| 181 | C2×#624 | — | 4 | 2 | no | — |
| 182 | #3805 | — | 4 | 1 | no | — |
| 183 | #3802 | — | 2 | 1 | no | — |
| 184 | C4×D32 | — | 4 | 1 | no | — |
| 185 | #3798 | — | 4 | 1 | no | — |
| 186 | #3797 | — | 2 | 1 | no | — |
| 187 | #3796 | — | 2 | 2 | no | — |
| 188 | C32×D8 | — | 2 | 1 | no | — |
| 189 | C32×D8 | C22×C4 | 1 | 2 | yes | — |
| 190 | C32×M16 | — | 2 | 1 | no | — |
| 191 | C2×C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 192 | #3753 | — | 2 | 2 | no | — |
| 193 | #3753 | — | 2 | 2 | no | — |
| 194 | #3748 | — | 2 | 1 | no | — |
| 195 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | #3745 | — | 2 | 1 | no | — |
| 197 | #3745 | C22×C4 | 1 | 2 | yes | — |
| 198 | #3743 | — | 4 | 1 | no | — |
| 199 | C8×C3⋊D3 | — | 4 | 1 | no | — |
| 200 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 201 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 202 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 203 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 204 | C3×#217 | — | 4 | 2 | no | — |
| 205 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 206 | C3×C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 207 | C2×C3×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 208 | C3×Dic12 | C22×C4 | 1 | 2 | yes | — |
| 209 | C3×D24 | C22×C4 | 1 | 2 | yes | — |
| 210 | C3×#204 | — | 2 | 2 | no | — |
| 211 | C3×ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 212 | C3×D3×C8 | — | 4 | 2 | no | — |
| 213 | #3724 | — | 2 | 1 | no | — |
| 214 | #3722 | — | 2 | 1 | no | — |
| 215 | #3722 | — | 4 | 2 | no | — |
| 216 | #3722 | — | 4 | 1 | no | — |
| 217 | Dic32 | — | 4 | 1 | no | — |
| 218 | #3718 | — | 2 | 1 | no | — |
| 219 | #3715 | — | 2 | 2 | no | — |
| 220 | #3713 | — | 2 | 1 | no | — |
| 221 | #3712 | — | 2 | 1 | no | — |
| 222 | #3712 | — | 2 | 1 | no | — |
| 223 | #3711 | — | 4 | 2 | no | — |
| 224 | D3×C3⋊C8 | — | 4 | 2 | no | — |
| 225 | C32×C16 | — | 2 | 1 | no | — |
| 226 | C3⋊(C3⋊C16) | — | 2 | 1 | no | — |
| 227 | C3×C3⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 228 | C2×#509 | — | 9 | 1 | no | — |
| 229 | #2957 | — | 9 | 1 | no | — |
| 230 | #2948 | — | 9 | 1 | no | — |
| 231 | AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 232 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 233 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 234 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 235 | #2155 | — | 9 | 1 | no | — |
| 236 | C2×#361 | — | 9 | 1 | no | — |
| 237 | #2145 | — | 9 | 1 | no | — |
| 238 | #2110 | — | 9 | 1 | no | — |
| 239 | D3×#41 | — | 6 | 2 | no | — |
| 240 | C2×D3×D4 | — | 6 | 2 | no | — |
| 241 | C2×D3×D4 | — | 12 | 1 | no | — |
| 242 | C3×#135 | — | 3 | 2 | no | — |
| 243 | C2×C3×D8 | — | 2 | 1 | no | — |
| 244 | C2×C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 245 | C3×#131 | — | 6 | 2 | no | — |
| 246 | C3×C4×D4 | — | 6 | 2 | no | — |
| 247 | #950 | — | 6 | 2 | no | — |
| 248 | #948 | — | 6 | 2 | no | — |
| 249 | D4×Dic3 | — | 2 | 2 | no | — |
| 250 | C2×#213 | — | 6 | 2 | no | — |
| 251 | C2×#213 | — | 12 | 1 | no | — |
| 252 | C4×#67 | — | 12 | 2 | no | — |
| 253 | C2×(C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 254 | #919 | — | 3 | 2 | no | — |
| 255 | D3×Q16 | — | 3 | 2 | no | — |
| 256 | #916 | — | 6 | 2 | no | — |
| 257 | D3×SD16 | — | 6 | 2 | no | — |
| 258 | #912 | — | 3 | 2 | no | — |
| 259 | D3×D8 | — | 3 | 4 | no | — |
| 260 | D3×D8 | — | 3 | 4 | no | — |
| 261 | D3×D8 | — | 3 | 2 | no | — |
| 262 | D3×D8 | — | 6 | 2 | no | — |
| 263 | D3×D8 | — | 6 | 2 | no | — |
| 264 | D3×D8 | — | 6 | 2 | no | — |
| 265 | D3×D8 | — | 6 | 2 | no | — |
| 266 | D3×D8 | — | 12 | 1 | no | — |
| 267 | D3×D8 | — | 12 | 1 | no | — |
| 268 | #907 | — | 2 | 2 | no | — |
| 269 | #907 | — | 12 | 2 | no | — |
| 270 | D3×M16 | — | 6 | 2 | no | — |
| 271 | D3×M16 | — | 12 | 1 | no | — |
| 272 | D3×M16 | — | 12 | 2 | no | — |
| 273 | #904 | C22×D3 | 1 | 2 | yes | — |
| 274 | C2×D24 | — | 3 | 2 | no | — |
| 275 | C2×D24 | — | 6 | 1 | no | — |
| 276 | #901 | — | 6 | 2 | no | — |
| 277 | #901 | — | 12 | 2 | no | — |
| 278 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 279 | C2×ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 280 | C2×D3×C8 | — | 3 | 2 | no | — |
| 281 | C2×D3×C8 | — | 6 | 1 | no | — |
| 282 | #893 | — | 6 | 2 | no | — |
| 283 | #892 | — | 6 | 2 | no | — |
| 284 | #67⋊C4 | — | 12 | 2 | no | — |
| 285 | D3×C22⋊C4 | — | 12 | 2 | no | — |
| 286 | C4×D12 | — | 6 | 2 | no | — |
| 287 | #872 | — | 3 | 2 | no | — |
| 288 | C3×SD32 | — | 3 | 4 | no | — |
| 289 | C3×D16 | — | 3 | 4 | no | — |
| 290 | C3×M32 | — | 2 | 1 | no | — |
| 291 | C3×M32 | — | 3 | 2 | no | — |
| 292 | C3×M32 | C22×D3 | 1 | 2 | yes | — |
| 293 | C3×#108 | — | 2 | 1 | no | — |
| 294 | C3×#108 | C22×D3 | 1 | 2 | yes | — |
| 295 | C3×#106 | — | 3 | 2 | no | — |
| 296 | C3×#104 | — | 6 | 2 | no | — |
| 297 | C3×#102 | — | 6 | 2 | no | — |
| 298 | C3×#97 | — | 3 | 2 | no | — |
| 299 | #837 | — | 6 | 2 | no | — |
| 300 | #832 | — | 2 | 2 | no | — |
| 301 | #828 | — | 3 | 4 | no | — |
| 302 | #827 | C4×D3 | 1 | 4 | yes | complemented |
| 303 | #826 | — | 3 | 4 | no | — |
| 304 | #826 | C4×D3 | 1 | 4 | yes | complemented |
| 305 | #825 | — | 2 | 2 | no | — |
| 306 | #822 | — | 6 | 2 | no | — |
| 307 | #822 | — | 12 | 1 | no | — |
| 308 | #821 | — | 6 | 2 | no | — |
| 309 | #819 | — | 3 | 2 | no | — |
| 310 | #819 | — | 6 | 1 | no | — |
| 311 | #817 | C22×D3 | 1 | 2 | yes | — |
| 312 | #815 | C22×D3 | 1 | 2 | yes | — |
| 313 | C8×Dic3 | — | 3 | 2 | no | — |
| 314 | #812 | — | 3 | 2 | no | — |
| 315 | #812 | — | 6 | 1 | no | — |
| 316 | #812 | C22×D3 | 1 | 2 | yes | — |
| 317 | #809 | — | 6 | 2 | no | — |
| 318 | #807 | — | 6 | 2 | no | — |
| 319 | #805 | — | 6 | 2 | no | — |
| 320 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 321 | #800 | — | 3 | 4 | no | — |
| 322 | D48 | — | 3 | 4 | no | — |
| 323 | #798 | — | 3 | 4 | no | — |
| 324 | #798 | — | 6 | 2 | no | — |
| 325 | #798 | — | 12 | 1 | no | — |
| 326 | D3×C16 | — | 3 | 4 | no | — |
| 327 | D3×C16 | — | 6 | 2 | no | — |
| 328 | D3×C16 | — | 12 | 1 | no | — |
| 329 | C23×C32 | — | 4 | 1 | no | — |
| 330 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 331 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 332 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 333 | C22×C3⋊D3 | — | 16 | 2 | no | — |
| 334 | C22×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 335 | C2×D32 | — | 4 | 1 | no | — |
| 336 | C32×D4 | — | 2 | 2 | no | — |
| 337 | C32×D4 | — | 4 | 1 | no | — |
| 338 | C2×C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 339 | #638 | — | 4 | 2 | no | — |
| 340 | #638 | — | 4 | 2 | no | — |
| 341 | C2×C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 342 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 343 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 344 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 345 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 346 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 347 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 348 | C3×#67 | — | 4 | 2 | no | — |
| 349 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 350 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 351 | C2×C3×Dic3 | — | 16 | 2 | no | — |
| 352 | C3×D12 | — | 2 | 2 | no | — |
| 353 | C3×C4×D3 | — | 4 | 2 | no | — |
| 354 | C3×Dic6 | — | 2 | 2 | no | — |
| 355 | #627 | — | 4 | 1 | no | — |
| 356 | #626 | — | 4 | 2 | no | — |
| 357 | #625 | — | 4 | 1 | no | — |
| 358 | #624 | — | 4 | 1 | no | — |
| 359 | #624 | — | 16 | 2 | no | — |
| 360 | D3×Dic3 | — | 4 | 2 | no | — |
| 361 | C32×C8 | — | 4 | 1 | no | — |
| 362 | C32×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 363 | C32×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 364 | C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 365 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 366 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 367 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 368 | C2×#135 | — | 9 | 1 | no | — |
| 369 | C22×D8 | — | 9 | 1 | no | — |
| 370 | #568 | — | 18 | 1 | no | — |
| 371 | #518 | — | 18 | 1 | no | — |
| 372 | #509 | — | 3 | 2 | no | — |
| 373 | #509 | — | 9 | 2 | no | — |
| 374 | #509 | — | 9 | 4 | no | — |
| 375 | C2×SD32 | — | 9 | 2 | no | — |
| 376 | C2×D16 | — | 9 | 2 | no | — |
| 377 | C2×M32 | — | 9 | 1 | no | — |
| 378 | C2×M32 | — | 9 | 1 | no | — |
| 379 | #444 | — | 3 | 2 | no | — |
| 380 | #444 | — | 9 | 2 | no | — |
| 381 | #443 | — | 18 | 2 | no | — |
| 382 | #442 | — | 3 | 2 | no | — |
| 383 | #442 | — | 9 | 2 | no | — |
| 384 | C4×D8 | — | 18 | 2 | no | — |
| 385 | C2×#108 | — | 9 | 1 | no | — |
| 386 | #427 | — | 9 | 1 | no | — |
| 387 | #421 | — | 18 | 1 | no | — |
| 388 | #418 | — | 18 | 1 | no | — |
| 389 | #405 | — | 9 | 1 | no | — |
| 390 | #365 | — | 3 | 2 | no | — |
| 391 | #365 | — | 9 | 2 | no | — |
| 392 | #361 | — | 9 | 1 | no | — |
| 393 | #361 | — | 9 | 1 | no | — |
| 394 | #361 | — | 9 | 1 | no | — |
| 395 | #361 | D32 | 1 | 1 | yes | characteristic, complemented |
| 396 | #360 | — | 3 | 2 | no | — |
| 397 | #360 | — | 9 | 2 | no | — |
| 398 | #347 | — | 3 | 2 | no | — |
| 399 | #347 | — | 9 | 2 | no | — |
| 400 | C23×D3 | — | 12 | 2 | no | — |
| 401 | C23×D3 | — | 24 | 1 | no | — |
| 402 | C3×#41 | — | 6 | 2 | no | — |
| 403 | C2×C3×D4 | — | 2 | 2 | no | — |
| 404 | C2×C3×D4 | — | 4 | 1 | no | — |
| 405 | C22×C3×C4 | — | 12 | 2 | no | — |
| 406 | C2×#67 | — | 12 | 2 | no | — |
| 407 | C2×#67 | — | 24 | 1 | no | — |
| 408 | C22×Dic3 | — | 4 | 2 | no | — |
| 409 | #239 | — | 6 | 2 | no | — |
| 410 | D3×Q8 | — | 6 | 2 | no | — |
| 411 | #237 | — | 6 | 2 | no | — |
| 412 | #237 | — | 12 | 2 | no | — |
| 413 | D3×D4 | — | 6 | 2 | no | — |
| 414 | D3×D4 | — | 6 | 4 | no | — |
| 415 | D3×D4 | — | 6 | 4 | no | — |
| 416 | D3×D4 | — | 12 | 2 | no | — |
| 417 | D3×D4 | — | 12 | 2 | no | — |
| 418 | D3×D4 | — | 12 | 2 | no | — |
| 419 | D3×D4 | — | 12 | 2 | no | — |
| 420 | D3×D4 | — | 12 | 2 | no | — |
| 421 | D3×D4 | — | 24 | 1 | no | — |
| 422 | D3×D4 | — | 24 | 1 | no | — |
| 423 | #235 | — | 2 | 2 | no | — |
| 424 | #235 | — | 12 | 2 | no | — |
| 425 | C2×D12 | — | 6 | 2 | no | — |
| 426 | C2×D12 | — | 12 | 1 | no | — |
| 427 | C2×C4×D3 | — | 3 | 2 | no | — |
| 428 | C2×C4×D3 | — | 6 | 1 | no | — |
| 429 | C2×C4×D3 | — | 12 | 2 | no | — |
| 430 | C2×C4×D3 | — | 12 | 2 | no | — |
| 431 | C2×C4×D3 | — | 12 | 2 | no | — |
| 432 | C3×Q16 | — | 3 | 2 | no | — |
| 433 | C3×SD16 | — | 6 | 2 | no | — |
| 434 | C3×D8 | — | 2 | 2 | no | — |
| 435 | C3×D8 | — | 2 | 2 | no | — |
| 436 | C3×D8 | — | 3 | 2 | no | — |
| 437 | C3×D8 | — | 4 | 1 | no | — |
| 438 | C3×D8 | C2×C4×D3 | 1 | 4 | yes | — |
| 439 | C3×M16 | — | 2 | 2 | no | — |
| 440 | C3×M16 | — | 4 | 1 | no | — |
| 441 | C3×M16 | — | 12 | 2 | no | — |
| 442 | C2×C3×C8 | — | 2 | 1 | no | — |
| 443 | C2×C3×C8 | — | 3 | 2 | no | — |
| 444 | C2×C3×C8 | — | 12 | 2 | no | — |
| 445 | C2×C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 446 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 447 | C3×C22⋊C4 | — | 12 | 2 | no | — |
| 448 | C3×C42 | — | 3 | 2 | no | — |
| 449 | #217 | — | 4 | 2 | no | — |
| 450 | #216 | — | 6 | 2 | no | — |
| 451 | #215 | — | 6 | 2 | no | — |
| 452 | #214 | — | 6 | 2 | no | — |
| 453 | #213 | — | 6 | 2 | no | — |
| 454 | #213 | — | 6 | 4 | no | — |
| 455 | #213 | — | 6 | 4 | no | — |
| 456 | #213 | — | 12 | 2 | no | — |
| 457 | #213 | — | 12 | 2 | no | — |
| 458 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 459 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 460 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 461 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 462 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 463 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 464 | C4×Dic3 | — | 12 | 2 | no | — |
| 465 | C4×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 466 | #208 | — | 6 | 2 | no | — |
| 467 | #208 | — | 12 | 1 | no | — |
| 468 | #208 | — | 12 | 2 | no | — |
| 469 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 470 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 471 | C2×C3⋊C8 | — | 12 | 2 | no | — |
| 472 | C2×C3⋊C8 | D3×D4 | 1 | 2 | yes | — |
| 473 | Dic12 | C2×C4×D3 | 1 | 2 | yes | — |
| 474 | D24 | — | 3 | 4 | no | — |
| 475 | D24 | — | 6 | 2 | no | — |
| 476 | D24 | — | 6 | 2 | no | — |
| 477 | D24 | — | 12 | 1 | no | — |
| 478 | D24 | C2×C4×D3 | 1 | 2 | yes | — |
| 479 | #204 | — | 2 | 2 | no | — |
| 480 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 481 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 482 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 483 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 484 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 485 | ΓL(1,𝔽25) | — | 24 | 1 | no | — |
| 486 | D3×C8 | — | 3 | 2 | no | — |
| 487 | D3×C8 | — | 3 | 2 | no | — |
| 488 | D3×C8 | — | 3 | 2 | no | — |
| 489 | D3×C8 | — | 3 | 2 | no | — |
| 490 | D3×C8 | — | 4 | 2 | no | — |
| 491 | D3×C8 | — | 6 | 1 | no | — |
| 492 | D3×C8 | — | 6 | 1 | no | — |
| 493 | D3×C8 | — | 6 | 1 | no | — |
| 494 | D3×C8 | — | 6 | 1 | no | — |
| 495 | D3×C8 | — | 12 | 2 | no | — |
| 496 | D3×C8 | — | 12 | 2 | no | — |
| 497 | D3×C8 | — | 24 | 1 | no | — |
| 498 | C3×C16 | — | 2 | 2 | no | — |
| 499 | C3×C16 | — | 3 | 4 | no | — |
| 500 | C3×C16 | — | 4 | 1 | no | — |
| 501 | C3⋊C16 | — | 6 | 2 | no | — |
| 502 | C3⋊C16 | — | 12 | 1 | no | — |
| 503 | C3⋊C16 | C2×C4×D3 | 1 | 4 | yes | — |
| 504 | C22×C32 | — | 4 | 2 | no | — |
| 505 | C22×C32 | — | 8 | 2 | no | — |
| 506 | C22×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 507 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 508 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 509 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 510 | C2×C3⋊D3 | — | 16 | 2 | no | — |
| 511 | C2×C3⋊D3 | — | 16 | 2 | no | — |
| 512 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 513 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 514 | C2×C3×D3 | — | 4 | 2 | no | — |
| 515 | D32 | — | 16 | 1 | no | — |
| 516 | C32×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 517 | C32×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 518 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 519 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 520 | C3×Dic3 | — | 4 | 2 | no | — |
| 521 | C3×Dic3 | — | 4 | 2 | no | — |
| 522 | C3×Dic3 | — | 8 | 2 | no | — |
| 523 | C2×#41 | — | 18 | 1 | no | — |
| 524 | C22×D4 | — | 18 | 1 | no | — |
| 525 | #135 | — | 3 | 2 | no | — |
| 526 | #135 | — | 9 | 2 | no | — |
| 527 | #135 | — | 18 | 1 | no | — |
| 528 | #135 | — | 18 | 1 | no | — |
| 529 | C2×Q16 | — | 9 | 1 | no | — |
| 530 | C2×SD16 | — | 18 | 1 | no | — |
| 531 | C2×D8 | — | 9 | 1 | no | — |
| 532 | C2×D8 | — | 9 | 2 | no | — |
| 533 | C2×D8 | — | 9 | 2 | no | — |
| 534 | C2×D8 | — | 9 | 1 | no | — |
| 535 | C2×D8 | — | 18 | 1 | no | — |
| 536 | C2×D8 | — | 18 | 1 | no | — |
| 537 | C2×D8 | — | 18 | 1 | no | — |
| 538 | C2×D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 539 | #131 | — | 6 | 2 | no | — |
| 540 | #131 | — | 18 | 2 | no | — |
| 541 | #131 | — | 36 | 1 | no | — |
| 542 | #131 | — | 36 | 1 | no | — |
| 543 | C2×M16 | — | 9 | 1 | no | — |
| 544 | C2×M16 | — | 18 | 1 | no | — |
| 545 | C2×M16 | — | 36 | 2 | no | — |
| 546 | C22×C8 | — | 9 | 1 | no | — |
| 547 | C4×D4 | — | 6 | 2 | no | — |
| 548 | C4×D4 | — | 18 | 2 | no | — |
| 549 | C4×D4 | — | 36 | 2 | no | — |
| 550 | #117 | — | 9 | 1 | no | — |
| 551 | #117 | — | 18 | 1 | no | — |
| 552 | C2×C22⋊C4 | — | 36 | 1 | no | — |
| 553 | C2×C22⋊C4 | — | 36 | 1 | no | — |
| 554 | SD32 | — | 3 | 4 | no | — |
| 555 | SD32 | — | 9 | 4 | no | — |
| 556 | D16 | — | 3 | 4 | no | — |
| 557 | D16 | — | 9 | 4 | no | — |
| 558 | M32 | — | 3 | 2 | no | — |
| 559 | M32 | — | 9 | 2 | no | — |
| 560 | M32 | — | 9 | 1 | no | — |
| 561 | M32 | — | 18 | 1 | no | — |
| 562 | M32 | C2×D32 | 1 | 1 | yes | characteristic |
| 563 | C2×C16 | — | 9 | 2 | no | — |
| 564 | C2×C16 | — | 18 | 1 | no | — |
| 565 | #108 | — | 9 | 1 | no | — |
| 566 | #108 | — | 18 | 1 | no | — |
| 567 | #108 | C2×D32 | 1 | 1 | yes | characteristic |
| 568 | #107 | — | 18 | 1 | no | — |
| 569 | #106 | — | 3 | 2 | no | — |
| 570 | #104 | — | 6 | 2 | no | — |
| 571 | #104 | — | 18 | 2 | no | — |
| 572 | #102 | — | 6 | 2 | no | — |
| 573 | #102 | — | 18 | 2 | no | — |
| 574 | #97 | — | 3 | 2 | no | — |
| 575 | C4×C8 | — | 9 | 2 | no | — |
| 576 | C23×C3 | — | 4 | 2 | no | — |
| 577 | C23×C3 | — | 8 | 1 | no | — |
| 578 | C22×D3 | — | 3 | 2 | no | — |
| 579 | C22×D3 | — | 6 | 1 | no | — |
| 580 | C22×D3 | — | 12 | 2 | no | — |
| 581 | C22×D3 | — | 12 | 4 | no | — |
| 582 | C22×D3 | — | 12 | 4 | no | — |
| 583 | C22×D3 | — | 12 | 2 | no | — |
| 584 | C22×D3 | — | 24 | 2 | no | — |
| 585 | C22×D3 | — | 24 | 2 | no | — |
| 586 | C22×D3 | — | 24 | 1 | no | — |
| 587 | C22×D3 | — | 48 | 2 | no | — |
| 588 | C22×D3 | — | 48 | 2 | no | — |
| 589 | C22×D3 | — | 48 | 4 | no | — |
| 590 | C3×Q8 | — | 6 | 2 | no | — |
| 591 | C3×D4 | — | 2 | 4 | no | — |
| 592 | C3×D4 | — | 4 | 2 | no | — |
| 593 | C3×D4 | — | 4 | 2 | no | — |
| 594 | C3×D4 | — | 6 | 2 | no | — |
| 595 | C3×D4 | — | 8 | 1 | no | — |
| 596 | C3×D4 | — | 12 | 2 | no | — |
| 597 | C2×C3×C4 | — | 2 | 1 | no | — |
| 598 | C2×C3×C4 | — | 6 | 2 | no | — |
| 599 | C2×C3×C4 | — | 12 | 2 | no | — |
| 600 | C2×C3×C4 | — | 12 | 2 | no | — |
| 601 | C2×C3×C4 | — | 48 | 2 | no | — |
| 602 | C2×C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 603 | #67 | — | 4 | 2 | no | — |
| 604 | #67 | — | 12 | 2 | no | — |
| 605 | #67 | — | 12 | 4 | no | — |
| 606 | #67 | — | 12 | 4 | no | — |
| 607 | #67 | — | 12 | 2 | no | — |
| 608 | #67 | — | 24 | 2 | no | — |
| 609 | #67 | — | 24 | 2 | no | — |
| 610 | C2×Dic3 | — | 2 | 2 | no | — |
| 611 | C2×Dic3 | — | 3 | 2 | no | — |
| 612 | C2×Dic3 | — | 4 | 2 | no | — |
| 613 | C2×Dic3 | — | 6 | 1 | no | — |
| 614 | C2×Dic3 | — | 12 | 2 | no | — |
| 615 | C2×Dic3 | — | 16 | 2 | no | — |
| 616 | D12 | — | 2 | 2 | no | — |
| 617 | D12 | — | 6 | 4 | no | — |
| 618 | D12 | — | 12 | 2 | no | — |
| 619 | D12 | — | 12 | 2 | no | — |
| 620 | D12 | — | 12 | 2 | no | — |
| 621 | D12 | — | 24 | 1 | no | — |
| 622 | C4×D3 | — | 3 | 2 | no | — |
| 623 | C4×D3 | — | 3 | 2 | no | — |
| 624 | C4×D3 | — | 3 | 2 | no | — |
| 625 | C4×D3 | — | 3 | 2 | no | — |
| 626 | C4×D3 | — | 4 | 2 | no | — |
| 627 | C4×D3 | — | 6 | 1 | no | — |
| 628 | C4×D3 | — | 6 | 1 | no | — |
| 629 | C4×D3 | — | 6 | 1 | no | — |
| 630 | C4×D3 | — | 6 | 1 | no | — |
| 631 | C4×D3 | — | 12 | 2 | no | — |
| 632 | C4×D3 | — | 12 | 2 | no | — |
| 633 | C4×D3 | — | 48 | 2 | no | — |
| 634 | C4×D3 | — | 48 | 2 | no | — |
| 635 | Dic6 | — | 2 | 2 | no | — |
| 636 | Dic6 | — | 12 | 2 | no | — |
| 637 | C3×C8 | — | 2 | 1 | no | — |
| 638 | C3×C8 | — | 2 | 1 | no | — |
| 639 | C3×C8 | — | 4 | 2 | no | — |
| 640 | C3×C8 | — | 6 | 2 | no | — |
| 641 | C3×C8 | — | 8 | 1 | no | — |
| 642 | C3×C8 | C22×C4×D3 | 1 | 2 | yes | — |
| 643 | C3×C8 | D3×#41 | 1 | 2 | yes | — |
| 644 | C3⋊C8 | — | 2 | 2 | no | — |
| 645 | C3⋊C8 | — | 3 | 2 | no | — |
| 646 | C3⋊C8 | — | 3 | 2 | no | — |
| 647 | C3⋊C8 | — | 6 | 1 | no | — |
| 648 | C3⋊C8 | — | 6 | 1 | no | — |
| 649 | C3⋊C8 | — | 12 | 2 | no | — |
| 650 | C3⋊C8 | — | 24 | 1 | no | — |
| 651 | C2×C32 | — | 2 | 1 | no | — |
| 652 | C2×C32 | — | 8 | 2 | no | — |
| 653 | C2×C32 | C2×#442 | 1 | 1 | yes | characteristic |
| 654 | C3⋊D3 | — | 2 | 1 | no | — |
| 655 | C3⋊D3 | — | 2 | 1 | no | — |
| 656 | C3⋊D3 | — | 8 | 2 | no | — |
| 657 | C3×D3 | — | 8 | 2 | no | — |
| 658 | C24 | — | 36 | 1 | no | — |
| 659 | #41 | — | 6 | 2 | no | — |
| 660 | #41 | — | 18 | 2 | no | — |
| 661 | #41 | — | 36 | 1 | no | — |
| 662 | #41 | — | 36 | 1 | no | — |
| 663 | C2×Q8 | — | 18 | 1 | no | — |
| 664 | C2×D4 | — | 2 | 1 | no | — |
| 665 | C2×D4 | — | 18 | 2 | no | — |
| 666 | C2×D4 | — | 18 | 2 | no | — |
| 667 | C2×D4 | — | 18 | 1 | no | — |
| 668 | C2×D4 | — | 18 | 1 | no | — |
| 669 | C2×D4 | — | 36 | 1 | no | — |
| 670 | C2×D4 | — | 36 | 1 | no | — |
| 671 | C2×D4 | — | 36 | 1 | no | — |
| 672 | C2×D4 | — | 36 | 1 | no | — |
| 673 | C22×C4 | — | 9 | 1 | no | — |
| 674 | C22×C4 | — | 12 | 2 | no | — |
| 675 | C22×C4 | — | 36 | 2 | no | — |
| 676 | C22×C4 | — | 36 | 1 | no | — |
| 677 | Q16 | — | 3 | 2 | no | — |
| 678 | Q16 | — | 18 | 1 | no | — |
| 679 | SD16 | — | 6 | 2 | no | — |
| 680 | SD16 | — | 18 | 2 | no | — |
| 681 | D8 | — | 2 | 1 | no | — |
| 682 | D8 | — | 3 | 2 | no | — |
| 683 | D8 | — | 9 | 2 | no | — |
| 684 | D8 | — | 18 | 2 | no | — |
| 685 | D8 | — | 18 | 2 | no | — |
| 686 | D8 | — | 18 | 1 | no | — |
| 687 | D8 | — | 18 | 1 | no | — |
| 688 | D8 | C4×D32 | 1 | 2 | yes | — |
| 689 | M16 | — | 2 | 1 | no | — |
| 690 | M16 | — | 12 | 2 | no | — |
| 691 | M16 | — | 18 | 1 | no | — |
| 692 | M16 | — | 18 | 1 | no | — |
| 693 | M16 | — | 18 | 1 | no | — |
| 694 | M16 | — | 36 | 1 | no | — |
| 695 | M16 | — | 36 | 2 | no | — |
| 696 | C2×C8 | — | 3 | 2 | no | — |
| 697 | C2×C8 | — | 9 | 1 | no | — |
| 698 | C2×C8 | — | 9 | 1 | no | — |
| 699 | C2×C8 | — | 9 | 1 | no | — |
| 700 | C2×C8 | — | 9 | 1 | no | — |
| 701 | C2×C8 | — | 9 | 1 | no | — |
| 702 | C2×C8 | — | 12 | 2 | no | — |
| 703 | C2×C8 | — | 36 | 1 | no | — |
| 704 | C2×C8 | — | 36 | 2 | no | — |
| 705 | C2×C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 706 | C4⋊C4 | — | 6 | 2 | no | — |
| 707 | C4⋊C4 | — | 18 | 1 | no | — |
| 708 | C22⋊C4 | — | 12 | 2 | no | — |
| 709 | C22⋊C4 | — | 18 | 1 | no | — |
| 710 | C22⋊C4 | — | 36 | 2 | no | — |
| 711 | C22⋊C4 | — | 36 | 1 | no | — |
| 712 | C42 | — | 3 | 2 | no | — |
| 713 | C42 | — | 36 | 1 | no | — |
| 714 | C16 | — | 2 | 1 | no | — |
| 715 | C16 | — | 3 | 4 | no | — |
| 716 | C16 | — | 18 | 1 | no | — |
| 717 | C22×C3 | — | 2 | 1 | no | — |
| 718 | C22×C3 | — | 4 | 4 | no | — |
| 719 | C22×C3 | — | 8 | 2 | no | — |
| 720 | C22×C3 | — | 8 | 2 | no | — |
| 721 | C22×C3 | — | 8 | 2 | no | — |
| 722 | C22×C3 | — | 12 | 2 | no | — |
| 723 | C22×C3 | — | 16 | 2 | no | — |
| 724 | C22×C3 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 725 | C2×D3 | — | 3 | 2 | no | — |
| 726 | C2×D3 | — | 3 | 2 | no | — |
| 727 | C2×D3 | — | 4 | 2 | no | — |
| 728 | C2×D3 | — | 6 | 1 | no | — |
| 729 | C2×D3 | — | 6 | 1 | no | — |
| 730 | C2×D3 | — | 12 | 2 | no | — |
| 731 | C2×D3 | — | 12 | 2 | no | — |
| 732 | C2×D3 | — | 12 | 4 | no | — |
| 733 | C2×D3 | — | 24 | 2 | no | — |
| 734 | C2×D3 | — | 24 | 2 | no | — |
| 735 | C2×D3 | — | 24 | 2 | no | — |
| 736 | C2×D3 | — | 48 | 2 | no | — |
| 737 | C2×D3 | — | 48 | 2 | no | — |
| 738 | C2×D3 | — | 48 | 4 | no | — |
| 739 | C2×D3 | — | 48 | 4 | no | — |
| 740 | C2×D3 | — | 48 | 4 | no | — |
| 741 | C2×D3 | — | 48 | 4 | no | — |
| 742 | C3×C4 | — | 2 | 1 | no | — |
| 743 | C3×C4 | — | 2 | 1 | no | — |
| 744 | C3×C4 | — | 12 | 2 | no | — |
| 745 | C3×C4 | — | 12 | 2 | no | — |
| 746 | C3×C4 | — | 24 | 2 | no | — |
| 747 | C3×C4 | C4×D3×D4 | 1 | 2 | yes | — |
| 748 | C3×C4 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 749 | Dic3 | — | 3 | 2 | no | — |
| 750 | Dic3 | — | 3 | 2 | no | — |
| 751 | Dic3 | — | 4 | 2 | no | — |
| 752 | Dic3 | — | 4 | 2 | no | — |
| 753 | Dic3 | — | 6 | 1 | no | — |
| 754 | Dic3 | — | 6 | 1 | no | — |
| 755 | Dic3 | — | 8 | 2 | no | — |
| 756 | C32 | #33471 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 757 | C23 | — | 4 | 1 | no | — |
| 758 | C23 | — | 9 | 1 | no | — |
| 759 | C23 | — | 36 | 2 | no | — |
| 760 | C23 | — | 36 | 2 | no | — |
| 761 | C23 | — | 36 | 1 | no | — |
| 762 | C23 | — | 36 | 1 | no | — |
| 763 | C23 | — | 144 | 2 | no | — |
| 764 | Q8 | — | 6 | 2 | no | — |
| 765 | Q8 | — | 36 | 1 | no | — |
| 766 | D4 | — | 2 | 2 | no | — |
| 767 | D4 | — | 4 | 1 | no | — |
| 768 | D4 | — | 6 | 2 | no | — |
| 769 | D4 | — | 12 | 2 | no | — |
| 770 | D4 | — | 18 | 2 | no | — |
| 771 | D4 | — | 36 | 2 | no | — |
| 772 | D4 | — | 36 | 2 | no | — |
| 773 | D4 | — | 36 | 1 | no | — |
| 774 | D4 | — | 36 | 2 | no | — |
| 775 | D4 | — | 36 | 1 | no | — |
| 776 | C2×C4 | — | 6 | 2 | no | — |
| 777 | C2×C4 | — | 9 | 1 | no | — |
| 778 | C2×C4 | — | 9 | 1 | no | — |
| 779 | C2×C4 | — | 9 | 1 | no | — |
| 780 | C2×C4 | — | 9 | 1 | no | — |
| 781 | C2×C4 | — | 9 | 1 | no | — |
| 782 | C2×C4 | — | 12 | 2 | no | — |
| 783 | C2×C4 | — | 12 | 2 | no | — |
| 784 | C2×C4 | — | 36 | 2 | no | — |
| 785 | C2×C4 | — | 36 | 1 | no | — |
| 786 | C2×C4 | — | 48 | 2 | no | — |
| 787 | C2×C4 | — | 144 | 2 | no | — |
| 788 | C2×C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 789 | C8 | — | 4 | 1 | no | — |
| 790 | C8 | — | 6 | 2 | no | — |
| 791 | C8 | — | 9 | 1 | no | — |
| 792 | C8 | — | 9 | 1 | no | — |
| 793 | C8 | — | 36 | 1 | no | — |
| 794 | C8 | C2×C4×D32 | 1 | 1 | yes | characteristic |
| 795 | C8 | #64312 | 1 | 1 | yes | characteristic |
| 796 | C2×C3 | — | 2 | 2 | no | — |
| 797 | C2×C3 | — | 2 | 1 | no | — |
| 798 | C2×C3 | — | 4 | 1 | no | — |
| 799 | C2×C3 | — | 8 | 4 | no | — |
| 800 | C2×C3 | — | 16 | 2 | no | — |
| 801 | C2×C3 | — | 24 | 2 | no | — |
| 802 | C2×C3 | D3×#442 | 1 | 2 | yes | — |
| 803 | D3 | — | 6 | 2 | no | — |
| 804 | D3 | — | 6 | 2 | no | — |
| 805 | D3 | — | 6 | 2 | no | — |
| 806 | D3 | — | 8 | 2 | no | — |
| 807 | D3 | — | 12 | 1 | no | — |
| 808 | D3 | — | 24 | 4 | no | — |
| 809 | D3 | — | 48 | 2 | no | — |
| 810 | C22 | — | 4 | 2 | no | — |
| 811 | C22 | — | 8 | 2 | no | — |
| 812 | C22 | — | 9 | 1 | no | — |
| 813 | C22 | — | 9 | 1 | no | — |
| 814 | C22 | — | 12 | 2 | no | — |
| 815 | C22 | — | 36 | 1 | no | — |
| 816 | C22 | — | 36 | 2 | no | — |
| 817 | C22 | — | 72 | 2 | no | — |
| 818 | C22 | — | 144 | 2 | no | — |
| 819 | C22 | — | 144 | 2 | no | — |
| 820 | C22 | — | 144 | 1 | no | — |
| 821 | C22 | #10594740 | 1 | 1 | yes | characteristic |
| 822 | C4 | — | 9 | 1 | no | — |
| 823 | C4 | — | 9 | 1 | no | — |
| 824 | C4 | — | 12 | 2 | no | — |
| 825 | C4 | — | 12 | 2 | no | — |
| 826 | C4 | — | 24 | 2 | no | — |
| 827 | C4 | #10594255 | 1 | 1 | yes | characteristic |
| 828 | C4 | #10594726 | 1 | 1 | yes | characteristic |
| 829 | C3 | — | 2 | 1 | no | — |
| 830 | C3 | #10948658 | 1 | 2 | yes | complemented |
| 831 | C2 | — | 2 | 1 | no | — |
| 832 | C2 | — | 8 | 2 | no | — |
| 833 | C2 | — | 18 | 1 | no | — |
| 834 | C2 | — | 18 | 1 | no | — |
| 835 | C2 | — | 24 | 2 | no | — |
| 836 | C2 | — | 72 | 2 | no | — |
| 837 | C2 | #11860156 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11861240 | C2 | semidirect |
| 3. #11860686 | C2 | semidirect |
| 4. #11797983 | C2 | semidirect |
| 5. #11797980 | C2 | semidirect |
| 6. #11797977 | C2 | semidirect |
| 7. C3×#69254 | C2 | semidirect |
| 8. #11797138 | C2 | semidirect |
| 9. C3⋊D3×#361 | C2 | semidirect |
| 10. #11796864 | C2 | semidirect |
| 11. #11795943 | C2 | semidirect |
| 19. C3×#5152 | C22 | semidirect |
| 21. C3×#4894 | C22 | semidirect |
| 24. #10591036 | C4 | semidirect |
| 25. #10591029 | C4 | semidirect |
| 26. #10591025 | C4 | semidirect |
| 29. #10590916 | C22 | semidirect |
| 30. #10590768 | C22 | semidirect |
| 35. C32×#361 | C22 | semidirect |
| 36. #10589429 | C22 | semidirect |
| 37. #10589382 | C22 | semidirect |
| 38. #10589361 | C22 | semidirect |
| 39. C3×#4518 | C22 | semidirect |
| 40. C3×#4512 | C22 | semidirect |
| 41. C3×#4494 | C22 | semidirect |
| 42. #10589136 | C22 | semidirect |
| 43. #10589123 | C22 | semidirect |
| 44. #10589105 | C22 | semidirect |
| 56. #69254 | D3 | semidirect |
| 84. #63810 | C2×C4 | semidirect |
| 88. #63802 | C2×C4 | semidirect |
| 89. #63797 | C2×C4 | semidirect |
| 100. C3×#827 | C2×C4 | semidirect |
| 101. C3×#826 | C2×C4 | semidirect |
| 110. #63549 | C2×C4 | semidirect |
| 111. #63546 | C2×C4 | semidirect |
| 112. #63544 | C2×C4 | semidirect |
| 113. #63542 | C2×C4 | semidirect |
| 125. #5152 | C2×D3 | semidirect |
| 137. #4894 | C2×D3 | semidirect |
| 151. C3×#361 | C2×D3 | semidirect |
| 157. #4518 | C2×D3 | semidirect |
| 162. #4512 | C2×D3 | semidirect |
| 165. #4494 | C2×D3 | semidirect |
| 302. #827 | C4×D3 | semidirect |
| 304. #826 | C4×D3 | semidirect |
| 395. #361 | D32 | semidirect |
| 756. C32 | #33471 | semidirect |
| 830. C3 | #10948658 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11899557 | 2 |
| #11861240 | 2 |
| #11860686 | 2 |
| #11797983 | 2 |
| #11797980 | 2 |
| #11797977 | 2 |
| C3×#69254 | 2 |
| #11797138 | 2 |
| C3⋊D3×#361 | 2 |
| #11796864 | 2 |
| #11795943 | 2 |
| #10948658 | 3 |