Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
1524 conjugacy classes of subgroups.
The subgroup lattice has 918 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11899599 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊D3×#444 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11860118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11797936 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11797927 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11797924 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C3×#70928 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11797107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11796915 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11796829 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #11795925 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#2180 | — | 3 | 2 | no | maximal |
| 13 | C3⋊D3×#135 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3⋊D3×#131 | — | 2 | 1 | no | — |
| 15 | C2×#63802 | C22 | 1 | 1 | yes | characteristic |
| 16 | C4×#3797 | — | 2 | 1 | no | — |
| 17 | C32×#444 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10592896 | C22 | 1 | 1 | yes | characteristic |
| 19 | #10592844 | — | 2 | 1 | no | — |
| 20 | #10592593 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3⋊D3×#108 | C22 | 1 | 1 | yes | characteristic |
| 22 | #10592522 | — | 2 | 1 | no | — |
| 23 | C3⋊D3×#104 | — | 2 | 1 | no | — |
| 24 | #10592416 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3⋊D3×#97 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#5195 | C22 | 1 | 2 | yes | — |
| 27 | C3×#4716 | C22 | 1 | 2 | yes | complemented |
| 28 | #10591044 | C4 | 1 | 2 | yes | complemented |
| 29 | #10591043 | C4 | 1 | 2 | yes | complemented |
| 30 | #10591030 | C4 | 1 | 2 | yes | complemented |
| 31 | #10591029 | C4 | 1 | 2 | yes | complemented |
| 32 | #10590819 | C22 | 1 | 2 | yes | complemented |
| 33 | #10590791 | — | 2 | 1 | no | — |
| 34 | #10590685 | C22 | 1 | 1 | yes | characteristic |
| 35 | #10590672 | — | 2 | 1 | no | — |
| 36 | #10590642 | C22 | 1 | 2 | yes | — |
| 37 | #10590625 | C22 | 1 | 1 | yes | characteristic |
| 38 | #10590625 | C22 | 1 | 1 | yes | characteristic |
| 39 | #10590381 | — | 2 | 1 | no | — |
| 40 | C3×#4566 | C22 | 1 | 2 | yes | — |
| 41 | C3×#4496 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#4494 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#4466 | C22 | 1 | 2 | yes | complemented |
| 44 | #10589136 | C22 | 1 | 2 | yes | complemented |
| 45 | #10589130 | C22 | 1 | 2 | yes | complemented |
| 46 | #10589125 | C22 | 1 | 2 | yes | — |
| 47 | #10589106 | C22 | 1 | 2 | yes | complemented |
| 48 | D3×#510 | — | 3 | 2 | no | — |
| 49 | D3×#444 | — | 3 | 2 | no | — |
| 50 | D3×#444 | — | 6 | 1 | no | — |
| 51 | D3×#441 | — | 3 | 2 | no | — |
| 52 | C3×#2180 | — | 3 | 2 | no | — |
| 53 | #71521 | — | 3 | 2 | no | — |
| 54 | #70928 | D3 | 1 | 2 | yes | complemented |
| 55 | #70917 | — | 3 | 2 | no | — |
| 56 | D3×#365 | — | 3 | 2 | no | — |
| 57 | #69309 | — | 3 | 2 | no | — |
| 58 | D3×#362 | — | 3 | 2 | no | — |
| 59 | #69264 | — | 3 | 2 | no | — |
| 60 | D3×#360 | — | 3 | 2 | no | — |
| 61 | #69248 | — | 3 | 2 | no | — |
| 62 | #69090 | — | 3 | 2 | no | — |
| 63 | D3×#347 | — | 3 | 2 | no | — |
| 64 | #41×C3⋊D3 | — | 2 | 1 | no | — |
| 65 | C2×#3797 | — | 2 | 1 | no | — |
| 66 | C32×#135 | C23 | 1 | 1 | yes | characteristic |
| 67 | C32×#131 | — | 2 | 1 | no | — |
| 68 | #64159 | — | 2 | 1 | no | — |
| 69 | #64157 | — | 2 | 1 | no | — |
| 70 | #64128 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | Q16×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | #64125 | — | 2 | 1 | no | — |
| 73 | SD16×C3⋊D3 | — | 2 | 1 | no | — |
| 74 | #64121 | C2×C4 | 1 | 1 | yes | characteristic |
| 75 | D8×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | #64116 | — | 2 | 1 | no | — |
| 77 | #64116 | — | 4 | 1 | no | — |
| 78 | M16×C3⋊D3 | — | 2 | 1 | no | — |
| 79 | M16×C3⋊D3 | — | 4 | 1 | no | — |
| 80 | #64113 | C23 | 1 | 1 | yes | characteristic |
| 81 | #64110 | — | 2 | 1 | no | — |
| 82 | #64110 | — | 4 | 1 | no | — |
| 83 | C2×C8×C3⋊D3 | — | 4 | 1 | no | — |
| 84 | C2×C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 86 | C42×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 87 | C2×C3×Dic12 | C23 | 1 | 2 | yes | — |
| 88 | C3×C4×Dic6 | — | 2 | 2 | no | — |
| 89 | C4×#627 | — | 4 | 1 | no | — |
| 90 | #63900 | — | 2 | 1 | no | — |
| 91 | #63883 | — | 4 | 1 | no | — |
| 92 | C4×#624 | — | 4 | 1 | no | — |
| 93 | #63843 | — | 2 | 2 | no | — |
| 94 | #63838 | — | 4 | 1 | no | — |
| 95 | C2×#3718 | — | 2 | 1 | no | — |
| 96 | #63802 | — | 2 | 1 | no | — |
| 97 | #63802 | — | 2 | 1 | no | — |
| 98 | #63802 | C2×C4 | 1 | 2 | yes | — |
| 99 | #63802 | C2×C4 | 1 | 2 | yes | — |
| 100 | C32×#108 | C23 | 1 | 1 | yes | characteristic |
| 101 | C32×#104 | — | 2 | 1 | no | — |
| 102 | C32×#97 | C23 | 1 | 1 | yes | characteristic |
| 103 | #63664 | — | 2 | 1 | no | — |
| 104 | #63652 | — | 2 | 1 | no | — |
| 105 | #63649 | — | 2 | 1 | no | — |
| 106 | #63646 | C23 | 1 | 1 | yes | characteristic |
| 107 | #63642 | D4 | 1 | 1 | yes | characteristic |
| 108 | #63642 | C23 | 1 | 1 | yes | characteristic |
| 109 | #63632 | — | 2 | 1 | no | — |
| 110 | #63630 | D4 | 1 | 1 | yes | characteristic |
| 111 | C3×#829 | C2×C4 | 1 | 4 | yes | complemented |
| 112 | C3×#827 | C2×C4 | 1 | 4 | yes | complemented |
| 113 | C3×#817 | C23 | 1 | 2 | yes | — |
| 114 | C3×#816 | — | 2 | 2 | no | — |
| 115 | C3×#812 | C23 | 1 | 2 | yes | — |
| 116 | C3×#812 | C23 | 1 | 2 | yes | — |
| 117 | #63574 | — | 2 | 1 | no | — |
| 118 | #63565 | — | 2 | 2 | no | — |
| 119 | #63551 | C2×C4 | 1 | 4 | yes | complemented |
| 120 | #63549 | C2×C4 | 1 | 4 | yes | complemented |
| 121 | #63544 | — | 2 | 1 | no | — |
| 122 | #63544 | C2×C4 | 1 | 2 | yes | — |
| 123 | #63542 | — | 2 | 1 | no | — |
| 124 | #63542 | C2×C4 | 1 | 2 | yes | — |
| 125 | C2×#2180 | — | 9 | 1 | no | Sylow |
| 126 | D3×#135 | — | 3 | 2 | no | — |
| 127 | D3×#135 | — | 6 | 1 | no | — |
| 128 | C2×D3×Q16 | — | 3 | 2 | no | — |
| 129 | D3×#131 | — | 6 | 2 | no | — |
| 130 | D3×#131 | — | 6 | 2 | no | — |
| 131 | C4×D3×Q8 | — | 6 | 2 | no | — |
| 132 | C3×#510 | — | 3 | 2 | no | — |
| 133 | C3×#444 | — | 2 | 1 | no | — |
| 134 | C3×#444 | C2×D3 | 1 | 2 | yes | — |
| 135 | C3×#441 | — | 3 | 2 | no | — |
| 136 | #5197 | — | 3 | 2 | no | — |
| 137 | #5197 | — | 6 | 1 | no | — |
| 138 | #5195 | C2×D3 | 1 | 2 | yes | — |
| 139 | #5184 | — | 3 | 2 | no | — |
| 140 | #5179 | — | 3 | 2 | no | — |
| 141 | #5145 | — | 6 | 2 | no | — |
| 142 | #5145 | — | 6 | 2 | no | — |
| 143 | #5030 | — | 6 | 2 | no | — |
| 144 | #4918 | — | 3 | 4 | no | — |
| 145 | D3×Q32 | — | 3 | 4 | no | — |
| 146 | #4915 | — | 3 | 4 | no | — |
| 147 | D3×SD32 | — | 3 | 4 | no | — |
| 148 | #4909 | — | 3 | 2 | no | — |
| 149 | D3×M32 | — | 3 | 2 | no | — |
| 150 | D3×M32 | — | 3 | 2 | no | — |
| 151 | #4894 | — | 3 | 2 | no | — |
| 152 | #4894 | — | 6 | 1 | no | — |
| 153 | D3×#108 | — | 3 | 2 | no | — |
| 154 | D3×#108 | — | 6 | 1 | no | — |
| 155 | D3×#106 | — | 3 | 2 | no | — |
| 156 | #4853 | — | 3 | 2 | no | — |
| 157 | #4823 | — | 6 | 2 | no | — |
| 158 | #4823 | — | 6 | 2 | no | — |
| 159 | D3×#104 | — | 6 | 2 | no | — |
| 160 | D3×#104 | — | 6 | 2 | no | — |
| 161 | D3×#103 | — | 6 | 2 | no | — |
| 162 | #4789 | — | 6 | 2 | no | — |
| 163 | #4717 | — | 3 | 2 | no | — |
| 164 | #4717 | — | 6 | 1 | no | — |
| 165 | #4716 | C2×D3 | 1 | 2 | yes | complemented |
| 166 | D3×#97 | — | 3 | 2 | no | — |
| 167 | D3×#97 | — | 6 | 1 | no | — |
| 168 | C3×#365 | — | 3 | 2 | no | — |
| 169 | C3×#362 | — | 3 | 2 | no | — |
| 170 | C3×#360 | — | 3 | 2 | no | — |
| 171 | C3×#347 | — | 3 | 2 | no | — |
| 172 | #4566 | C2×D3 | 1 | 2 | yes | — |
| 173 | #4565 | — | 3 | 2 | no | — |
| 174 | #4518 | — | 3 | 2 | no | — |
| 175 | #4517 | — | 3 | 2 | no | — |
| 176 | #4513 | — | 3 | 2 | no | — |
| 177 | #4512 | — | 3 | 2 | no | — |
| 178 | #4512 | — | 3 | 2 | no | — |
| 179 | #4496 | C2×D3 | 1 | 2 | yes | complemented |
| 180 | #4494 | C2×D3 | 1 | 2 | yes | complemented |
| 181 | #4488 | — | 3 | 2 | no | — |
| 182 | #4487 | — | 3 | 2 | no | — |
| 183 | #4466 | C2×D3 | 1 | 2 | yes | complemented |
| 184 | C32×#41 | — | 2 | 1 | no | — |
| 185 | #3832 | — | 2 | 1 | no | — |
| 186 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 187 | #3830 | — | 2 | 1 | no | — |
| 188 | #3830 | — | 4 | 1 | no | — |
| 189 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 190 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 191 | #3828 | — | 2 | 1 | no | — |
| 192 | #3828 | — | 4 | 1 | no | — |
| 193 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 194 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 195 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×Dic6 | — | 2 | 2 | no | — |
| 197 | C2×#627 | — | 4 | 1 | no | — |
| 198 | C2×#624 | — | 4 | 1 | no | — |
| 199 | C2×#624 | — | 4 | 1 | no | — |
| 200 | #3797 | — | 2 | 2 | no | — |
| 201 | #3797 | — | 2 | 2 | no | — |
| 202 | #3797 | — | 4 | 1 | no | — |
| 203 | #3797 | — | 4 | 1 | no | — |
| 204 | C32×Q16 | C22×C4 | 1 | 1 | yes | characteristic |
| 205 | C32×SD16 | — | 2 | 1 | no | — |
| 206 | C32×D8 | C22×C4 | 1 | 1 | yes | characteristic |
| 207 | C32×M16 | — | 2 | 1 | no | — |
| 208 | C32×M16 | — | 4 | 1 | no | — |
| 209 | C2×C32×C8 | — | 4 | 1 | no | — |
| 210 | C2×C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 212 | C32×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | #3756 | — | 2 | 1 | no | — |
| 214 | #3755 | — | 2 | 1 | no | — |
| 215 | #3754 | — | 2 | 1 | no | — |
| 216 | #3753 | — | 2 | 1 | no | — |
| 217 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 218 | C4×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | #3748 | — | 2 | 1 | no | — |
| 220 | #3748 | — | 4 | 1 | no | — |
| 221 | C2×C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 222 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | #3746 | C22×C4 | 1 | 1 | yes | characteristic |
| 225 | #3745 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | #3744 | — | 2 | 1 | no | — |
| 227 | #3743 | — | 4 | 1 | no | — |
| 228 | #3743 | — | 4 | 1 | no | — |
| 229 | #3743 | — | 4 | 1 | no | — |
| 230 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 231 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 232 | C8×C3⋊D3 | — | 4 | 1 | no | — |
| 233 | C8×C3⋊D3 | — | 4 | 1 | no | — |
| 234 | C8×C3⋊D3 | — | 4 | 1 | no | — |
| 235 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 236 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 237 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 238 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 239 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 240 | C3×Dic3⋊C4 | — | 4 | 2 | no | — |
| 241 | C3×C4×Dic3 | — | 4 | 2 | no | — |
| 242 | C3×Dic12 | — | 2 | 2 | no | — |
| 243 | C3×Dic12 | C22×C4 | 1 | 4 | yes | — |
| 244 | #3724 | — | 4 | 1 | no | — |
| 245 | Dic3⋊Dic3 | — | 4 | 2 | no | — |
| 246 | Dic32 | — | 4 | 2 | no | — |
| 247 | #3718 | — | 2 | 2 | no | — |
| 248 | #3718 | — | 2 | 2 | no | — |
| 249 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 250 | C3×C3⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 251 | C2×#510 | — | 9 | 1 | no | — |
| 252 | C2×#444 | — | 9 | 1 | no | — |
| 253 | C2×#441 | — | 9 | 1 | no | — |
| 254 | #2180 | — | 3 | 2 | no | — |
| 255 | #2180 | — | 9 | 2 | no | — |
| 256 | #2180 | — | 9 | 2 | no | — |
| 257 | #2180 | — | 9 | 2 | no | — |
| 258 | C2×#365 | — | 9 | 1 | no | — |
| 259 | C2×#362 | — | 9 | 1 | no | — |
| 260 | C2×#360 | — | 9 | 1 | no | — |
| 261 | C2×#347 | — | 9 | 1 | no | — |
| 262 | D3×#41 | — | 6 | 2 | no | — |
| 263 | D3×#41 | — | 6 | 2 | no | — |
| 264 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 265 | C3×#135 | — | 2 | 1 | no | — |
| 266 | C3×#135 | C22×D3 | 1 | 2 | yes | — |
| 267 | C2×C3×Q16 | — | 3 | 2 | no | — |
| 268 | C3×#131 | — | 2 | 2 | no | — |
| 269 | C3×#131 | — | 2 | 2 | no | — |
| 270 | C3×C4×Q8 | — | 6 | 2 | no | — |
| 271 | #950 | — | 6 | 2 | no | — |
| 272 | #950 | — | 6 | 2 | no | — |
| 273 | #948 | — | 6 | 2 | no | — |
| 274 | #948 | — | 6 | 2 | no | — |
| 275 | Q8×Dic3 | — | 6 | 2 | no | — |
| 276 | C2×#216 | — | 6 | 2 | no | — |
| 277 | #919 | — | 3 | 2 | no | — |
| 278 | #919 | — | 6 | 1 | no | — |
| 279 | D3×Q16 | — | 3 | 2 | no | — |
| 280 | D3×Q16 | — | 3 | 4 | no | — |
| 281 | D3×Q16 | — | 3 | 4 | no | — |
| 282 | D3×Q16 | — | 6 | 1 | no | — |
| 283 | D3×Q16 | — | 6 | 2 | no | — |
| 284 | D3×Q16 | — | 6 | 2 | no | — |
| 285 | #916 | — | 6 | 2 | no | — |
| 286 | #916 | — | 6 | 2 | no | — |
| 287 | D3×SD16 | — | 6 | 2 | no | — |
| 288 | D3×SD16 | — | 6 | 2 | no | — |
| 289 | #912 | — | 3 | 2 | no | — |
| 290 | #912 | — | 6 | 1 | no | — |
| 291 | D3×D8 | — | 3 | 2 | no | — |
| 292 | D3×D8 | — | 6 | 1 | no | — |
| 293 | #907 | — | 6 | 2 | no | — |
| 294 | #907 | — | 6 | 2 | no | — |
| 295 | #907 | — | 12 | 2 | no | — |
| 296 | #907 | — | 12 | 2 | no | — |
| 297 | D3×M16 | — | 6 | 2 | no | — |
| 298 | D3×M16 | — | 6 | 2 | no | — |
| 299 | D3×M16 | — | 12 | 2 | no | — |
| 300 | D3×M16 | — | 12 | 2 | no | — |
| 301 | C2×Dic12 | C22×D3 | 1 | 2 | yes | — |
| 302 | #904 | — | 3 | 2 | no | — |
| 303 | #904 | — | 6 | 1 | no | — |
| 304 | #901 | — | 6 | 2 | no | — |
| 305 | #901 | — | 6 | 2 | no | — |
| 306 | #901 | — | 12 | 2 | no | — |
| 307 | #901 | — | 12 | 2 | no | — |
| 308 | C2×D3×C8 | — | 3 | 2 | no | — |
| 309 | C2×D3×C8 | — | 3 | 2 | no | — |
| 310 | C2×D3×C8 | — | 6 | 1 | no | — |
| 311 | C2×D3×C8 | — | 6 | 1 | no | — |
| 312 | C2×D3×C8 | — | 12 | 2 | no | — |
| 313 | C2×D3×C8 | — | 12 | 2 | no | — |
| 314 | D3×C4⋊C4 | — | 6 | 2 | no | — |
| 315 | D3×C4⋊C4 | — | 12 | 2 | no | — |
| 316 | #887 | — | 6 | 2 | no | — |
| 317 | #887 | — | 12 | 2 | no | — |
| 318 | C42×D3 | — | 3 | 2 | no | — |
| 319 | C42×D3 | — | 6 | 1 | no | — |
| 320 | C42×D3 | — | 12 | 2 | no | — |
| 321 | C4×Dic6 | — | 2 | 2 | no | — |
| 322 | C4×Dic6 | — | 12 | 2 | no | — |
| 323 | C3×Q32 | — | 3 | 4 | no | — |
| 324 | C3×SD32 | — | 3 | 4 | no | — |
| 325 | C3×M32 | — | 3 | 2 | no | — |
| 326 | C3×M32 | — | 3 | 2 | no | — |
| 327 | C3×#108 | — | 2 | 1 | no | — |
| 328 | C3×#108 | C22×D3 | 1 | 2 | yes | — |
| 329 | C3×#106 | — | 3 | 2 | no | — |
| 330 | C3×#104 | — | 2 | 2 | no | — |
| 331 | C3×#104 | — | 2 | 2 | no | — |
| 332 | C3×#103 | — | 6 | 2 | no | — |
| 333 | C3×#97 | — | 2 | 1 | no | — |
| 334 | C3×#97 | C22×D3 | 1 | 2 | yes | — |
| 335 | #837 | — | 6 | 2 | no | — |
| 336 | #837 | — | 6 | 2 | no | — |
| 337 | #835 | — | 6 | 2 | no | — |
| 338 | #829 | — | 3 | 4 | no | — |
| 339 | #829 | C4×D3 | 1 | 4 | yes | complemented |
| 340 | #828 | — | 3 | 4 | no | — |
| 341 | #827 | C4×D3 | 1 | 4 | yes | complemented |
| 342 | #825 | — | 6 | 2 | no | — |
| 343 | #825 | — | 6 | 2 | no | — |
| 344 | #822 | — | 6 | 2 | no | — |
| 345 | #822 | — | 6 | 2 | no | — |
| 346 | #819 | — | 3 | 2 | no | — |
| 347 | #819 | — | 6 | 1 | no | — |
| 348 | #817 | C22×D3 | 1 | 2 | yes | — |
| 349 | #816 | — | 2 | 2 | no | — |
| 350 | #815 | — | 3 | 2 | no | — |
| 351 | #815 | — | 3 | 2 | no | — |
| 352 | #815 | — | 6 | 1 | no | — |
| 353 | #815 | — | 6 | 1 | no | — |
| 354 | #812 | C22×D3 | 1 | 2 | yes | — |
| 355 | #812 | C22×D3 | 1 | 2 | yes | — |
| 356 | #810 | — | 6 | 2 | no | — |
| 357 | #808 | — | 6 | 2 | no | — |
| 358 | #805 | — | 6 | 2 | no | — |
| 359 | #805 | — | 6 | 2 | no | — |
| 360 | #803 | — | 3 | 2 | no | — |
| 361 | #803 | — | 6 | 1 | no | — |
| 362 | Dic24 | — | 3 | 4 | no | — |
| 363 | #800 | — | 3 | 4 | no | — |
| 364 | #798 | — | 3 | 4 | no | — |
| 365 | #798 | — | 6 | 2 | no | — |
| 366 | D3×C16 | — | 3 | 4 | no | — |
| 367 | D3×C16 | — | 6 | 2 | no | — |
| 368 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 369 | C22×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 370 | C32×Q8 | — | 2 | 1 | no | — |
| 371 | C32×D4 | — | 2 | 1 | no | — |
| 372 | C32×D4 | — | 4 | 1 | no | — |
| 373 | C2×C32×C4 | — | 2 | 1 | no | — |
| 374 | C2×C32×C4 | — | 4 | 1 | no | — |
| 375 | C2×C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 376 | #638 | — | 4 | 1 | no | — |
| 377 | #638 | — | 4 | 1 | no | — |
| 378 | #638 | — | 4 | 1 | no | — |
| 379 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 380 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 381 | C2×C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 382 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 383 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 384 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 385 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 386 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 387 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 388 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 389 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 390 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 391 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 392 | #634 | — | 2 | 1 | no | — |
| 393 | #634 | — | 4 | 1 | no | — |
| 394 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 395 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 396 | C3×Dic6 | — | 2 | 4 | no | — |
| 397 | C3×Dic6 | — | 4 | 2 | no | — |
| 398 | #627 | — | 4 | 2 | no | — |
| 399 | #627 | — | 4 | 2 | no | — |
| 400 | #624 | — | 4 | 2 | no | — |
| 401 | #624 | — | 4 | 2 | no | — |
| 402 | #624 | — | 8 | 2 | no | — |
| 403 | C32×C8 | — | 2 | 1 | no | — |
| 404 | C32×C8 | — | 4 | 1 | no | — |
| 405 | C32×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 406 | C32×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 407 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 408 | C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 409 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 410 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×#135 | — | 9 | 1 | no | — |
| 412 | C22×Q16 | — | 9 | 1 | no | — |
| 413 | C2×#131 | — | 18 | 1 | no | — |
| 414 | C2×C4×Q8 | — | 18 | 1 | no | — |
| 415 | #510 | — | 3 | 2 | no | — |
| 416 | #510 | — | 9 | 2 | no | — |
| 417 | #510 | — | 9 | 2 | no | — |
| 418 | #510 | — | 9 | 2 | no | — |
| 419 | C2×Q32 | — | 9 | 2 | no | — |
| 420 | C2×SD32 | — | 9 | 2 | no | — |
| 421 | C2×M32 | — | 9 | 1 | no | — |
| 422 | C2×M32 | — | 9 | 1 | no | — |
| 423 | #444 | — | 9 | 1 | no | — |
| 424 | #444 | — | 9 | 1 | no | — |
| 425 | #444 | — | 9 | 1 | no | — |
| 426 | #444 | — | 18 | 1 | no | — |
| 427 | #444 | — | 18 | 1 | no | — |
| 428 | #444 | D32 | 1 | 1 | yes | characteristic |
| 429 | #441 | — | 3 | 2 | no | — |
| 430 | #441 | — | 9 | 2 | no | — |
| 431 | #441 | — | 18 | 1 | no | — |
| 432 | #441 | — | 18 | 1 | no | — |
| 433 | C2×#108 | — | 9 | 1 | no | — |
| 434 | C2×#106 | — | 9 | 1 | no | — |
| 435 | C2×#104 | — | 18 | 1 | no | — |
| 436 | C2×#103 | — | 18 | 1 | no | — |
| 437 | C2×#97 | — | 9 | 1 | no | — |
| 438 | #365 | — | 3 | 2 | no | — |
| 439 | #365 | — | 9 | 2 | no | — |
| 440 | #362 | — | 3 | 2 | no | — |
| 441 | #362 | — | 9 | 2 | no | — |
| 442 | #360 | — | 3 | 2 | no | — |
| 443 | #360 | — | 9 | 2 | no | — |
| 444 | #347 | — | 3 | 2 | no | — |
| 445 | #347 | — | 9 | 2 | no | — |
| 446 | C3×#41 | — | 2 | 2 | no | — |
| 447 | C3×#41 | — | 2 | 2 | no | — |
| 448 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 449 | #239 | — | 6 | 2 | no | — |
| 450 | #239 | — | 6 | 2 | no | — |
| 451 | D3×Q8 | — | 6 | 4 | no | — |
| 452 | D3×Q8 | — | 6 | 4 | no | — |
| 453 | D3×Q8 | — | 6 | 2 | no | — |
| 454 | D3×Q8 | — | 6 | 2 | no | — |
| 455 | D3×Q8 | — | 12 | 2 | no | — |
| 456 | D3×Q8 | — | 12 | 2 | no | — |
| 457 | #237 | — | 6 | 2 | no | — |
| 458 | #237 | — | 6 | 2 | no | — |
| 459 | #237 | — | 12 | 2 | no | — |
| 460 | #237 | — | 12 | 2 | no | — |
| 461 | D3×D4 | — | 6 | 2 | no | — |
| 462 | D3×D4 | — | 6 | 2 | no | — |
| 463 | D3×D4 | — | 12 | 2 | no | — |
| 464 | D3×D4 | — | 12 | 2 | no | — |
| 465 | #235 | — | 6 | 2 | no | — |
| 466 | #235 | — | 6 | 2 | no | — |
| 467 | #235 | — | 12 | 2 | no | — |
| 468 | #235 | — | 12 | 2 | no | — |
| 469 | C2×C4×D3 | — | 3 | 2 | no | — |
| 470 | C2×C4×D3 | — | 6 | 1 | no | — |
| 471 | C2×C4×D3 | — | 6 | 2 | no | — |
| 472 | C2×C4×D3 | — | 12 | 1 | no | — |
| 473 | C2×C4×D3 | — | 12 | 2 | no | — |
| 474 | C2×C4×D3 | — | 12 | 2 | no | — |
| 475 | C2×C4×D3 | — | 12 | 2 | no | — |
| 476 | C2×C4×D3 | — | 12 | 2 | no | — |
| 477 | C2×Dic6 | — | 2 | 2 | no | — |
| 478 | C2×Dic6 | — | 12 | 2 | no | — |
| 479 | C3×Q16 | — | 2 | 1 | no | — |
| 480 | C3×Q16 | — | 3 | 4 | no | — |
| 481 | C3×Q16 | — | 6 | 2 | no | — |
| 482 | C3×Q16 | C2×C4×D3 | 1 | 2 | yes | — |
| 483 | C3×SD16 | — | 2 | 2 | no | — |
| 484 | C3×SD16 | — | 2 | 2 | no | — |
| 485 | C3×D8 | — | 2 | 1 | no | — |
| 486 | C3×D8 | C2×C4×D3 | 1 | 2 | yes | — |
| 487 | C3×M16 | — | 2 | 2 | no | — |
| 488 | C3×M16 | — | 2 | 2 | no | — |
| 489 | C3×M16 | — | 4 | 2 | no | — |
| 490 | C3×M16 | — | 4 | 2 | no | — |
| 491 | C2×C3×C8 | — | 2 | 1 | no | — |
| 492 | C2×C3×C8 | — | 2 | 1 | no | — |
| 493 | C2×C3×C8 | — | 4 | 2 | no | — |
| 494 | C2×C3×C8 | — | 4 | 2 | no | — |
| 495 | C2×C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 496 | C2×C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 497 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 498 | C3×C4⋊C4 | — | 12 | 2 | no | — |
| 499 | C3×C42 | — | 2 | 1 | no | — |
| 500 | C3×C42 | — | 12 | 2 | no | — |
| 501 | C3×C42 | D3×D4 | 1 | 2 | yes | — |
| 502 | #216 | — | 6 | 4 | no | — |
| 503 | #216 | — | 6 | 4 | no | — |
| 504 | #216 | — | 6 | 2 | no | — |
| 505 | #216 | — | 6 | 2 | no | — |
| 506 | #215 | — | 6 | 2 | no | — |
| 507 | #215 | — | 6 | 2 | no | — |
| 508 | #214 | — | 6 | 2 | no | — |
| 509 | #214 | — | 6 | 2 | no | — |
| 510 | #213 | — | 6 | 2 | no | — |
| 511 | #213 | — | 6 | 2 | no | — |
| 512 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 513 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 514 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 515 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 516 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 517 | C4×Dic3 | — | 3 | 2 | no | — |
| 518 | C4×Dic3 | — | 4 | 2 | no | — |
| 519 | C4×Dic3 | — | 6 | 1 | no | — |
| 520 | C4×Dic3 | — | 6 | 2 | no | — |
| 521 | C4×Dic3 | — | 12 | 1 | no | — |
| 522 | C4×Dic3 | — | 12 | 2 | no | — |
| 523 | C4×Dic3 | — | 12 | 2 | no | — |
| 524 | #208 | — | 6 | 2 | no | — |
| 525 | #208 | — | 6 | 2 | no | — |
| 526 | #208 | — | 12 | 2 | no | — |
| 527 | #208 | — | 12 | 2 | no | — |
| 528 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 529 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 530 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 531 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 532 | C2×C3⋊C8 | — | 12 | 2 | no | — |
| 533 | C2×C3⋊C8 | — | 12 | 2 | no | — |
| 534 | Dic12 | — | 2 | 2 | no | — |
| 535 | Dic12 | — | 3 | 2 | no | — |
| 536 | Dic12 | — | 6 | 1 | no | — |
| 537 | Dic12 | C2×C4×D3 | 1 | 4 | yes | — |
| 538 | D24 | — | 3 | 2 | no | — |
| 539 | D24 | — | 6 | 1 | no | — |
| 540 | #204 | — | 6 | 2 | no | — |
| 541 | #204 | — | 6 | 2 | no | — |
| 542 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 543 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 544 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 545 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 546 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 547 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 548 | D3×C8 | — | 3 | 2 | no | — |
| 549 | D3×C8 | — | 3 | 2 | no | — |
| 550 | D3×C8 | — | 3 | 2 | no | — |
| 551 | D3×C8 | — | 3 | 2 | no | — |
| 552 | D3×C8 | — | 6 | 1 | no | — |
| 553 | D3×C8 | — | 6 | 1 | no | — |
| 554 | D3×C8 | — | 6 | 1 | no | — |
| 555 | D3×C8 | — | 6 | 1 | no | — |
| 556 | D3×C8 | — | 6 | 2 | no | — |
| 557 | D3×C8 | — | 6 | 2 | no | — |
| 558 | D3×C8 | — | 6 | 2 | no | — |
| 559 | D3×C8 | — | 6 | 2 | no | — |
| 560 | D3×C8 | — | 12 | 2 | no | — |
| 561 | D3×C8 | — | 12 | 2 | no | — |
| 562 | D3×C8 | — | 12 | 2 | no | — |
| 563 | D3×C8 | — | 12 | 2 | no | — |
| 564 | D3×C8 | — | 12 | 2 | no | — |
| 565 | D3×C8 | — | 12 | 2 | no | — |
| 566 | C3×C16 | — | 3 | 4 | no | — |
| 567 | C3×C16 | — | 6 | 2 | no | — |
| 568 | C3⋊C16 | — | 2 | 2 | no | — |
| 569 | C3⋊C16 | C2×C4×D3 | 1 | 4 | yes | — |
| 570 | C22×C32 | — | 4 | 1 | no | — |
| 571 | C22×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 572 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 573 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 574 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 575 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 576 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 577 | C32×C4 | — | 4 | 1 | no | — |
| 578 | C32×C4 | — | 4 | 1 | no | — |
| 579 | C32×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 580 | C32×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 581 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 582 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 583 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 584 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 585 | C3×Dic3 | — | 4 | 4 | no | — |
| 586 | C3×Dic3 | — | 8 | 2 | no | — |
| 587 | C2×#41 | — | 18 | 1 | no | — |
| 588 | C22×Q8 | — | 18 | 1 | no | — |
| 589 | #135 | — | 9 | 1 | no | — |
| 590 | #135 | — | 9 | 1 | no | — |
| 591 | #135 | — | 9 | 1 | no | — |
| 592 | #135 | — | 18 | 1 | no | — |
| 593 | #135 | — | 18 | 1 | no | — |
| 594 | #135 | C2×D32 | 1 | 1 | yes | characteristic |
| 595 | C2×Q16 | — | 3 | 2 | no | — |
| 596 | C2×Q16 | — | 9 | 2 | no | — |
| 597 | C2×Q16 | — | 9 | 2 | no | — |
| 598 | C2×Q16 | — | 9 | 1 | no | — |
| 599 | C2×Q16 | — | 18 | 1 | no | — |
| 600 | C2×Q16 | — | 18 | 1 | no | — |
| 601 | C2×Q16 | — | 18 | 1 | no | — |
| 602 | C2×SD16 | — | 18 | 1 | no | — |
| 603 | C2×D8 | — | 9 | 1 | no | — |
| 604 | #131 | — | 2 | 1 | no | — |
| 605 | #131 | — | 18 | 1 | no | — |
| 606 | #131 | — | 18 | 1 | no | — |
| 607 | #131 | — | 18 | 1 | no | — |
| 608 | #131 | — | 36 | 1 | no | — |
| 609 | #131 | — | 36 | 1 | no | — |
| 610 | C2×M16 | — | 18 | 1 | no | — |
| 611 | C2×M16 | — | 36 | 1 | no | — |
| 612 | C22×C8 | — | 9 | 1 | no | — |
| 613 | C22×C8 | — | 9 | 1 | no | — |
| 614 | C22×C8 | — | 36 | 1 | no | — |
| 615 | C4×Q8 | — | 6 | 2 | no | — |
| 616 | C4×Q8 | — | 18 | 2 | no | — |
| 617 | C4×Q8 | — | 36 | 1 | no | — |
| 618 | C4×Q8 | — | 36 | 1 | no | — |
| 619 | C2×C4⋊C4 | — | 18 | 1 | no | — |
| 620 | C2×C4⋊C4 | — | 36 | 1 | no | — |
| 621 | C2×C42 | — | 9 | 1 | no | — |
| 622 | C2×C42 | — | 36 | 1 | no | — |
| 623 | Q32 | — | 3 | 4 | no | — |
| 624 | Q32 | — | 9 | 4 | no | — |
| 625 | SD32 | — | 3 | 4 | no | — |
| 626 | SD32 | — | 9 | 4 | no | — |
| 627 | M32 | — | 3 | 2 | no | — |
| 628 | M32 | — | 3 | 2 | no | — |
| 629 | M32 | — | 9 | 2 | no | — |
| 630 | M32 | — | 18 | 1 | no | — |
| 631 | C2×C16 | — | 9 | 2 | no | — |
| 632 | C2×C16 | — | 18 | 1 | no | — |
| 633 | #108 | — | 9 | 1 | no | — |
| 634 | #108 | — | 18 | 1 | no | — |
| 635 | #108 | C2×D32 | 1 | 1 | yes | characteristic |
| 636 | #106 | — | 3 | 2 | no | — |
| 637 | #106 | — | 18 | 1 | no | — |
| 638 | #104 | — | 2 | 1 | no | — |
| 639 | #104 | — | 18 | 1 | no | — |
| 640 | #104 | — | 18 | 1 | no | — |
| 641 | #104 | — | 18 | 1 | no | — |
| 642 | #103 | — | 6 | 2 | no | — |
| 643 | #103 | — | 18 | 2 | no | — |
| 644 | #97 | — | 9 | 1 | no | — |
| 645 | #97 | — | 9 | 1 | no | — |
| 646 | #97 | — | 9 | 1 | no | — |
| 647 | #97 | C2×D32 | 1 | 1 | yes | characteristic |
| 648 | C22×D3 | — | 3 | 2 | no | — |
| 649 | C22×D3 | — | 6 | 1 | no | — |
| 650 | C22×D3 | — | 12 | 2 | no | — |
| 651 | C22×D3 | — | 12 | 2 | no | — |
| 652 | C3×Q8 | — | 2 | 2 | no | — |
| 653 | C3×Q8 | — | 2 | 2 | no | — |
| 654 | C3×Q8 | — | 6 | 4 | no | — |
| 655 | C3×Q8 | — | 12 | 2 | no | — |
| 656 | C3×D4 | — | 2 | 2 | no | — |
| 657 | C3×D4 | — | 2 | 2 | no | — |
| 658 | C3×D4 | — | 4 | 2 | no | — |
| 659 | C3×D4 | — | 4 | 2 | no | — |
| 660 | C2×C3×C4 | — | 2 | 2 | no | — |
| 661 | C2×C3×C4 | — | 2 | 1 | no | — |
| 662 | C2×C3×C4 | — | 4 | 1 | no | — |
| 663 | C2×C3×C4 | — | 4 | 2 | no | — |
| 664 | C2×C3×C4 | — | 4 | 2 | no | — |
| 665 | C2×C3×C4 | — | 12 | 2 | no | — |
| 666 | C2×C3×C4 | — | 12 | 2 | no | — |
| 667 | C2×C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 668 | #67 | — | 12 | 2 | no | — |
| 669 | #67 | — | 12 | 2 | no | — |
| 670 | #67 | — | 12 | 2 | no | — |
| 671 | #67 | — | 12 | 2 | no | — |
| 672 | #67 | — | 12 | 2 | no | — |
| 673 | #67 | — | 12 | 2 | no | — |
| 674 | C2×Dic3 | — | 3 | 2 | no | — |
| 675 | C2×Dic3 | — | 4 | 2 | no | — |
| 676 | C2×Dic3 | — | 4 | 2 | no | — |
| 677 | C2×Dic3 | — | 6 | 1 | no | — |
| 678 | C2×Dic3 | — | 6 | 2 | no | — |
| 679 | C2×Dic3 | — | 12 | 1 | no | — |
| 680 | C2×Dic3 | — | 12 | 2 | no | — |
| 681 | C2×Dic3 | — | 12 | 2 | no | — |
| 682 | D12 | — | 6 | 2 | no | — |
| 683 | D12 | — | 6 | 2 | no | — |
| 684 | D12 | — | 12 | 2 | no | — |
| 685 | D12 | — | 12 | 2 | no | — |
| 686 | C4×D3 | — | 3 | 2 | no | — |
| 687 | C4×D3 | — | 3 | 2 | no | — |
| 688 | C4×D3 | — | 3 | 2 | no | — |
| 689 | C4×D3 | — | 3 | 2 | no | — |
| 690 | C4×D3 | — | 6 | 1 | no | — |
| 691 | C4×D3 | — | 6 | 1 | no | — |
| 692 | C4×D3 | — | 6 | 1 | no | — |
| 693 | C4×D3 | — | 6 | 1 | no | — |
| 694 | C4×D3 | — | 12 | 2 | no | — |
| 695 | C4×D3 | — | 12 | 4 | no | — |
| 696 | C4×D3 | — | 12 | 4 | no | — |
| 697 | C4×D3 | — | 12 | 2 | no | — |
| 698 | C4×D3 | — | 12 | 2 | no | — |
| 699 | C4×D3 | — | 12 | 2 | no | — |
| 700 | C4×D3 | — | 12 | 4 | no | — |
| 701 | C4×D3 | — | 12 | 2 | no | — |
| 702 | C4×D3 | — | 12 | 2 | no | — |
| 703 | C4×D3 | — | 24 | 2 | no | — |
| 704 | C4×D3 | — | 24 | 4 | no | — |
| 705 | Dic6 | — | 2 | 4 | no | — |
| 706 | Dic6 | — | 4 | 2 | no | — |
| 707 | Dic6 | — | 6 | 2 | no | — |
| 708 | Dic6 | — | 6 | 2 | no | — |
| 709 | Dic6 | — | 12 | 4 | no | — |
| 710 | Dic6 | — | 12 | 4 | no | — |
| 711 | Dic6 | — | 12 | 2 | no | — |
| 712 | Dic6 | — | 12 | 2 | no | — |
| 713 | C3×C8 | — | 2 | 2 | no | — |
| 714 | C3×C8 | — | 2 | 2 | no | — |
| 715 | C3×C8 | — | 2 | 1 | no | — |
| 716 | C3×C8 | — | 2 | 1 | no | — |
| 717 | C3×C8 | — | 4 | 2 | no | — |
| 718 | C3×C8 | — | 4 | 2 | no | — |
| 719 | C3×C8 | C22×C4×D3 | 1 | 2 | yes | — |
| 720 | C3×C8 | D3×#41 | 1 | 2 | yes | — |
| 721 | C3⋊C8 | — | 3 | 2 | no | — |
| 722 | C3⋊C8 | — | 3 | 2 | no | — |
| 723 | C3⋊C8 | — | 6 | 1 | no | — |
| 724 | C3⋊C8 | — | 6 | 1 | no | — |
| 725 | C3⋊C8 | — | 6 | 2 | no | — |
| 726 | C3⋊C8 | — | 6 | 2 | no | — |
| 727 | C3⋊C8 | — | 12 | 2 | no | — |
| 728 | C3⋊C8 | — | 12 | 2 | no | — |
| 729 | C2×C32 | — | 2 | 1 | no | — |
| 730 | C2×C32 | — | 8 | 1 | no | — |
| 731 | C2×C32 | C2×#442 | 1 | 1 | yes | characteristic |
| 732 | C3⋊D3 | — | 2 | 1 | no | — |
| 733 | C3⋊D3 | — | 8 | 1 | no | — |
| 734 | C3⋊D3 | #2180 | 1 | 2 | yes | complemented |
| 735 | #41 | — | 2 | 1 | no | — |
| 736 | #41 | — | 18 | 1 | no | — |
| 737 | #41 | — | 18 | 1 | no | — |
| 738 | #41 | — | 18 | 1 | no | — |
| 739 | #41 | — | 36 | 1 | no | — |
| 740 | #41 | — | 36 | 1 | no | — |
| 741 | C2×Q8 | — | 6 | 2 | no | — |
| 742 | C2×Q8 | — | 18 | 1 | no | — |
| 743 | C2×Q8 | — | 18 | 2 | no | — |
| 744 | C2×Q8 | — | 18 | 2 | no | — |
| 745 | C2×Q8 | — | 36 | 1 | no | — |
| 746 | C2×Q8 | — | 36 | 1 | no | — |
| 747 | C2×Q8 | — | 36 | 1 | no | — |
| 748 | C2×D4 | — | 18 | 1 | no | — |
| 749 | C2×D4 | — | 36 | 1 | no | — |
| 750 | C22×C4 | — | 9 | 1 | no | — |
| 751 | C22×C4 | — | 18 | 1 | no | — |
| 752 | C22×C4 | — | 36 | 1 | no | — |
| 753 | C22×C4 | — | 36 | 1 | no | — |
| 754 | C22×C4 | — | 36 | 1 | no | — |
| 755 | Q16 | — | 3 | 4 | no | — |
| 756 | Q16 | — | 6 | 2 | no | — |
| 757 | Q16 | — | 9 | 1 | no | — |
| 758 | Q16 | — | 18 | 1 | no | — |
| 759 | Q16 | — | 18 | 2 | no | — |
| 760 | Q16 | — | 18 | 2 | no | — |
| 761 | Q16 | C4×D32 | 1 | 1 | yes | characteristic |
| 762 | SD16 | — | 2 | 1 | no | — |
| 763 | SD16 | — | 18 | 1 | no | — |
| 764 | SD16 | — | 18 | 1 | no | — |
| 765 | SD16 | — | 18 | 1 | no | — |
| 766 | D8 | — | 9 | 1 | no | — |
| 767 | D8 | — | 18 | 1 | no | — |
| 768 | D8 | C4×D32 | 1 | 1 | yes | characteristic |
| 769 | M16 | — | 2 | 1 | no | — |
| 770 | M16 | — | 4 | 1 | no | — |
| 771 | M16 | — | 18 | 1 | no | — |
| 772 | M16 | — | 36 | 1 | no | — |
| 773 | M16 | — | 36 | 1 | no | — |
| 774 | M16 | — | 36 | 1 | no | — |
| 775 | M16 | — | 36 | 1 | no | — |
| 776 | C2×C8 | — | 4 | 1 | no | — |
| 777 | C2×C8 | — | 9 | 1 | no | — |
| 778 | C2×C8 | — | 9 | 1 | no | — |
| 779 | C2×C8 | — | 9 | 1 | no | — |
| 780 | C2×C8 | — | 9 | 1 | no | — |
| 781 | C2×C8 | — | 9 | 1 | no | — |
| 782 | C2×C8 | — | 9 | 1 | no | — |
| 783 | C2×C8 | — | 18 | 1 | no | — |
| 784 | C2×C8 | — | 18 | 1 | no | — |
| 785 | C2×C8 | — | 36 | 1 | no | — |
| 786 | C2×C8 | — | 36 | 1 | no | — |
| 787 | C2×C8 | — | 36 | 1 | no | — |
| 788 | C2×C8 | — | 36 | 1 | no | — |
| 789 | C2×C8 | #3811 | 1 | 1 | yes | characteristic |
| 790 | C2×C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 791 | C4⋊C4 | — | 6 | 2 | no | — |
| 792 | C4⋊C4 | — | 12 | 2 | no | — |
| 793 | C4⋊C4 | — | 36 | 1 | no | — |
| 794 | C4⋊C4 | — | 36 | 2 | no | — |
| 795 | C42 | — | 9 | 1 | no | — |
| 796 | C42 | — | 12 | 2 | no | — |
| 797 | C42 | — | 18 | 1 | no | — |
| 798 | C42 | — | 36 | 2 | no | — |
| 799 | C42 | #3811 | 1 | 1 | yes | characteristic |
| 800 | C16 | — | 3 | 4 | no | — |
| 801 | C16 | — | 6 | 2 | no | — |
| 802 | C22×C3 | — | 2 | 1 | no | — |
| 803 | C22×C3 | — | 4 | 2 | no | — |
| 804 | C22×C3 | — | 4 | 2 | no | — |
| 805 | C22×C3 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 806 | C2×D3 | — | 3 | 2 | no | — |
| 807 | C2×D3 | — | 3 | 2 | no | — |
| 808 | C2×D3 | — | 6 | 1 | no | — |
| 809 | C2×D3 | — | 6 | 1 | no | — |
| 810 | C2×D3 | — | 6 | 4 | no | — |
| 811 | C2×D3 | — | 12 | 2 | no | — |
| 812 | C2×D3 | — | 12 | 2 | no | — |
| 813 | C2×D3 | — | 12 | 2 | no | — |
| 814 | C2×D3 | — | 24 | 4 | no | — |
| 815 | C2×D3 | — | 24 | 4 | no | — |
| 816 | C3×C4 | — | 2 | 1 | no | — |
| 817 | C3×C4 | — | 2 | 1 | no | — |
| 818 | C3×C4 | — | 4 | 2 | no | — |
| 819 | C3×C4 | — | 4 | 2 | no | — |
| 820 | C3×C4 | — | 4 | 2 | no | — |
| 821 | C3×C4 | — | 8 | 1 | no | — |
| 822 | C3×C4 | — | 12 | 4 | no | — |
| 823 | C3×C4 | — | 24 | 2 | no | — |
| 824 | C3×C4 | C4×D3×D4 | 1 | 2 | yes | — |
| 825 | C3×C4 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 826 | Dic3 | — | 3 | 2 | no | — |
| 827 | Dic3 | — | 3 | 2 | no | — |
| 828 | Dic3 | — | 4 | 4 | no | — |
| 829 | Dic3 | — | 6 | 1 | no | — |
| 830 | Dic3 | — | 6 | 1 | no | — |
| 831 | Dic3 | — | 8 | 2 | no | — |
| 832 | Dic3 | — | 12 | 2 | no | — |
| 833 | Dic3 | — | 12 | 2 | no | — |
| 834 | Dic3 | — | 12 | 2 | no | — |
| 835 | Dic3 | — | 24 | 1 | no | — |
| 836 | C32 | C2×#2180 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 837 | C23 | — | 9 | 1 | no | — |
| 838 | C23 | — | 36 | 1 | no | — |
| 839 | Q8 | — | 2 | 1 | no | — |
| 840 | Q8 | — | 6 | 4 | no | — |
| 841 | Q8 | — | 12 | 2 | no | — |
| 842 | Q8 | — | 18 | 1 | no | — |
| 843 | Q8 | — | 36 | 1 | no | — |
| 844 | Q8 | — | 36 | 2 | no | — |
| 845 | Q8 | — | 36 | 2 | no | — |
| 846 | D4 | — | 2 | 1 | no | — |
| 847 | D4 | — | 4 | 1 | no | — |
| 848 | D4 | — | 18 | 1 | no | — |
| 849 | D4 | — | 36 | 1 | no | — |
| 850 | D4 | — | 36 | 1 | no | — |
| 851 | D4 | — | 36 | 1 | no | — |
| 852 | D4 | — | 36 | 1 | no | — |
| 853 | C2×C4 | — | 2 | 1 | no | — |
| 854 | C2×C4 | — | 4 | 1 | no | — |
| 855 | C2×C4 | — | 9 | 1 | no | — |
| 856 | C2×C4 | — | 9 | 1 | no | — |
| 857 | C2×C4 | — | 9 | 1 | no | — |
| 858 | C2×C4 | — | 9 | 1 | no | — |
| 859 | C2×C4 | — | 9 | 1 | no | — |
| 860 | C2×C4 | — | 12 | 2 | no | — |
| 861 | C2×C4 | — | 12 | 2 | no | — |
| 862 | C2×C4 | — | 18 | 1 | no | — |
| 863 | C2×C4 | — | 36 | 1 | no | — |
| 864 | C2×C4 | — | 36 | 1 | no | — |
| 865 | C2×C4 | — | 36 | 2 | no | — |
| 866 | C2×C4 | — | 36 | 1 | no | — |
| 867 | C2×C4 | — | 36 | 2 | no | — |
| 868 | C2×C4 | — | 36 | 2 | no | — |
| 869 | C2×C4 | — | 36 | 1 | no | — |
| 870 | C2×C4 | — | 72 | 2 | no | — |
| 871 | C2×C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 872 | C8 | — | 2 | 1 | no | — |
| 873 | C8 | — | 4 | 1 | no | — |
| 874 | C8 | — | 9 | 1 | no | — |
| 875 | C8 | — | 9 | 1 | no | — |
| 876 | C8 | — | 18 | 1 | no | — |
| 877 | C8 | — | 36 | 1 | no | — |
| 878 | C8 | C2×C4×D32 | 1 | 1 | yes | characteristic |
| 879 | C8 | #64306 | 1 | 1 | yes | characteristic |
| 880 | C2×C3 | — | 2 | 2 | no | — |
| 881 | C2×C3 | — | 2 | 1 | no | — |
| 882 | C2×C3 | — | 4 | 1 | no | — |
| 883 | C2×C3 | — | 8 | 2 | no | — |
| 884 | C2×C3 | — | 8 | 2 | no | — |
| 885 | C2×C3 | D3×#442 | 1 | 2 | yes | — |
| 886 | D3 | — | 3 | 4 | no | — |
| 887 | D3 | — | 6 | 2 | no | — |
| 888 | D3 | — | 6 | 2 | no | — |
| 889 | D3 | — | 12 | 1 | no | — |
| 890 | D3 | — | 24 | 2 | no | — |
| 891 | D3 | — | 24 | 2 | no | — |
| 892 | C22 | — | 4 | 1 | no | — |
| 893 | C22 | — | 9 | 1 | no | — |
| 894 | C22 | — | 9 | 1 | no | — |
| 895 | C22 | — | 18 | 2 | no | — |
| 896 | C22 | — | 36 | 1 | no | — |
| 897 | C22 | — | 72 | 2 | no | — |
| 898 | C22 | #10595458 | 1 | 1 | yes | characteristic |
| 899 | C4 | — | 4 | 1 | no | — |
| 900 | C4 | — | 4 | 1 | no | — |
| 901 | C4 | — | 9 | 1 | no | — |
| 902 | C4 | — | 9 | 1 | no | — |
| 903 | C4 | — | 12 | 4 | no | — |
| 904 | C4 | — | 24 | 2 | no | — |
| 905 | C4 | — | 36 | 1 | no | — |
| 906 | C4 | — | 36 | 1 | no | — |
| 907 | C4 | C4×#3811 | 1 | 1 | yes | characteristic |
| 908 | C4 | #10595100 | 1 | 1 | yes | characteristic |
| 909 | C3 | — | 2 | 1 | no | — |
| 910 | C3 | D3×#2180 | 1 | 2 | yes | complemented |
| 911 | C2 | — | 2 | 1 | no | — |
| 912 | C2 | — | 8 | 1 | no | — |
| 913 | C2 | — | 9 | 2 | no | — |
| 914 | C2 | — | 18 | 1 | no | — |
| 915 | C2 | — | 72 | 1 | no | — |
| 916 | C2 | #11860160 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #11860118 | C2 | semidirect |
| 4. #11797936 | C2 | semidirect |
| 5. #11797927 | C2 | semidirect |
| 6. #11797924 | C2 | semidirect |
| 7. C3×#70928 | C2 | semidirect |
| 8. #11797107 | C2 | semidirect |
| 9. #11796915 | C2 | semidirect |
| 11. #11795925 | C2 | semidirect |
| 27. C3×#4716 | C22 | semidirect |
| 28. #10591044 | C4 | semidirect |
| 29. #10591043 | C4 | semidirect |
| 30. #10591030 | C4 | semidirect |
| 31. #10591029 | C4 | semidirect |
| 32. #10590819 | C22 | semidirect |
| 41. C3×#4496 | C22 | semidirect |
| 42. C3×#4494 | C22 | semidirect |
| 43. C3×#4466 | C22 | semidirect |
| 44. #10589136 | C22 | semidirect |
| 45. #10589130 | C22 | semidirect |
| 47. #10589106 | C22 | semidirect |
| 54. #70928 | D3 | semidirect |
| 111. C3×#829 | C2×C4 | semidirect |
| 112. C3×#827 | C2×C4 | semidirect |
| 119. #63551 | C2×C4 | semidirect |
| 120. #63549 | C2×C4 | semidirect |
| 165. #4716 | C2×D3 | semidirect |
| 179. #4496 | C2×D3 | semidirect |
| 180. #4494 | C2×D3 | semidirect |
| 183. #4466 | C2×D3 | semidirect |
| 339. #829 | C4×D3 | semidirect |
| 341. #827 | C4×D3 | semidirect |
| 734. C3⋊D3 | #2180 | semidirect |
| 836. C32 | C2×#2180 | semidirect |
| 910. C3 | D3×#2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11899599 | 2 |
| C3⋊D3×#444 | 2 |
| #11860118 | 2 |
| #11797936 | 2 |
| #11797927 | 2 |
| #11797924 | 2 |
| C3×#70928 | 2 |
| #11797107 | 2 |
| #11796915 | 2 |
| #11796829 | 2 |
| #11795925 | 2 |
| D3×#2180 | 3 |