Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1882 conjugacy classes of subgroups.
The subgroup lattice has 1012 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×C3⋊D3×#67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×C3×#626 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11723723 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11723630 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11723612 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#63976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#63961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11722991 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11722966 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11722965 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11722949 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10595524 | — | 3 | 1 | no | maximal |
| 13 | #10595242 | — | 3 | 1 | no | maximal |
| 14 | #10595062 | — | 3 | 1 | no | maximal |
| 15 | C23×C3×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 16 | C23×C32×D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C22×D3×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×#6312 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C32×#67 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C32×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#6294 | C22 | 1 | 2 | yes | complemented |
| 22 | C3⋊D3×#67 | — | 2 | 4 | no | — |
| 23 | C2×#6292 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#6291 | C22 | 1 | 2 | yes | complemented |
| 25 | C2×#6290 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×Dic3×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×C3×#626 | — | 2 | 4 | no | — |
| 28 | C2×C3×#626 | C22 | 1 | 2 | yes | — |
| 29 | C2×C3×#626 | C22 | 1 | 2 | yes | complemented |
| 30 | C2×C3×#625 | C22 | 1 | 2 | yes | complemented |
| 31 | C3×#3757 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#3757 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #88814 | C22 | 1 | 2 | yes | complemented |
| 34 | #88807 | C22 | 1 | 2 | yes | complemented |
| 35 | #88804 | C22 | 1 | 2 | yes | complemented |
| 36 | (C2×D3)⋊(C3⋊Dic3) | C22 | 1 | 2 | yes | complemented |
| 37 | C3×#3724 | C22 | 1 | 2 | yes | complemented |
| 38 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 39 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×D4×C3⋊D3 | — | 3 | 1 | no | — |
| 41 | C22×C3×#67 | — | 3 | 1 | no | — |
| 42 | C22×C3×D12 | — | 3 | 1 | no | — |
| 43 | C2×D3×#67 | — | 3 | 1 | no | — |
| 44 | C2×D3×#67 | — | 3 | 1 | no | — |
| 45 | C2×D3×#67 | — | 6 | 1 | no | — |
| 46 | C22×#626 | D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | #64162 | — | 3 | 1 | no | — |
| 48 | #64138 | — | 3 | 1 | no | — |
| 49 | C3×#953 | — | 3 | 1 | no | — |
| 50 | C3×#937 | — | 3 | 1 | no | — |
| 51 | C3×#935 | — | 3 | 1 | no | — |
| 52 | C3×#929 | — | 3 | 1 | no | — |
| 53 | #63983 | — | 3 | 2 | no | — |
| 54 | #63981 | — | 3 | 2 | no | — |
| 55 | #63977 | — | 3 | 1 | no | — |
| 56 | #63977 | — | 3 | 1 | no | — |
| 57 | #63977 | — | 6 | 1 | no | — |
| 58 | #63976 | D3 | 1 | 1 | yes | characteristic, complemented |
| 59 | #63974 | — | 3 | 1 | no | — |
| 60 | #63971 | — | 3 | 2 | no | — |
| 61 | #63970 | — | 3 | 2 | no | — |
| 62 | #63969 | — | 3 | 2 | no | — |
| 63 | D3×#217 | — | 3 | 1 | no | — |
| 64 | D3×#217 | — | 3 | 1 | no | — |
| 65 | #63966 | — | 3 | 1 | no | — |
| 66 | #63966 | — | 3 | 1 | no | — |
| 67 | #63966 | — | 6 | 1 | no | — |
| 68 | #63961 | D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #63958 | — | 3 | 2 | no | — |
| 70 | #63922 | — | 3 | 2 | no | — |
| 71 | #63910 | — | 3 | 2 | no | — |
| 72 | #63886 | — | 3 | 2 | no | — |
| 73 | #63885 | — | 3 | 2 | no | — |
| 74 | #63884 | — | 3 | 2 | no | — |
| 75 | #63853 | — | 3 | 2 | no | — |
| 76 | C23×C33 | C23 | 1 | 1 | yes | characteristic |
| 77 | C22×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 79 | C22×C3×C3⋊D3 | D4 | 1 | 4 | yes | complemented |
| 80 | C22×C3×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C3×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 82 | C22×C32×D3 | — | 2 | 2 | no | — |
| 83 | C22×C32×D3 | — | 4 | 2 | no | — |
| 84 | C22×C32×D3 | C23 | 1 | 1 | yes | characteristic |
| 85 | C22×C32×D3 | C23 | 1 | 2 | yes | — |
| 86 | C2×D3×C3⋊D3 | — | 2 | 2 | no | — |
| 87 | C2×D3×C3⋊D3 | — | 4 | 2 | no | — |
| 88 | #6312 | — | 2 | 2 | no | — |
| 89 | C2×C3⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 91 | C2×C3×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 92 | C32×#67 | — | 2 | 2 | no | — |
| 93 | C2×C32×Dic3 | — | 2 | 2 | no | — |
| 94 | C2×C32×Dic3 | C23 | 1 | 2 | yes | — |
| 95 | C2×C32×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 96 | #6294 | — | 4 | 2 | no | — |
| 97 | #6292 | — | 2 | 2 | no | — |
| 98 | #6291 | — | 4 | 2 | no | — |
| 99 | #6290 | — | 2 | 2 | no | — |
| 100 | Dic3×C3⋊D3 | — | 2 | 2 | no | — |
| 101 | C3×#626 | — | 2 | 4 | no | — |
| 102 | C3×#626 | — | 2 | 4 | no | — |
| 103 | C3×#625 | — | 4 | 2 | no | — |
| 104 | #5804 | — | 9 | 1 | no | — |
| 105 | #5653 | — | 9 | 1 | no | — |
| 106 | #5589 | — | 9 | 1 | no | — |
| 107 | C24×C32 | — | 3 | 1 | no | — |
| 108 | C23×C3⋊D3 | — | 3 | 1 | no | — |
| 109 | C23×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic |
| 110 | C23×C3×D3 | — | 2 | 1 | no | — |
| 111 | C23×C3×D3 | — | 3 | 1 | no | — |
| 112 | C23×C3×D3 | — | 3 | 1 | no | — |
| 113 | C23×C3×D3 | — | 6 | 1 | no | — |
| 114 | C23×C3×D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 115 | C23×C3×D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 116 | C22×D32 | — | 3 | 1 | no | — |
| 117 | C22×D32 | — | 3 | 1 | no | — |
| 118 | C22×D32 | — | 6 | 1 | no | — |
| 119 | C2×C32×D4 | — | 3 | 1 | no | — |
| 120 | C22×C32×C4 | — | 3 | 1 | no | — |
| 121 | C2×#638 | — | 3 | 1 | no | — |
| 122 | C2×#638 | — | 3 | 1 | no | — |
| 123 | C2×#638 | — | 3 | 1 | no | — |
| 124 | C2×#638 | — | 3 | 1 | no | — |
| 125 | C2×#638 | — | 3 | 2 | no | — |
| 126 | C2×#638 | — | 6 | 1 | no | — |
| 127 | C2×#638 | — | 6 | 1 | no | — |
| 128 | C2×#638 | — | 6 | 1 | no | — |
| 129 | C2×#638 | — | 12 | 1 | no | — |
| 130 | D4×C3⋊D3 | — | 6 | 4 | no | — |
| 131 | C2×C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 132 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 133 | C2×C3×#67 | — | 2 | 1 | no | — |
| 134 | C2×C3×#67 | — | 3 | 2 | no | — |
| 135 | C2×C3×#67 | — | 3 | 2 | no | — |
| 136 | C2×C3×#67 | — | 3 | 2 | no | — |
| 137 | C2×C3×#67 | — | 3 | 2 | no | — |
| 138 | C2×C3×#67 | — | 6 | 4 | no | — |
| 139 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 140 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 141 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 142 | C22×C3×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 143 | C22×C3×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×C3×D12 | — | 3 | 2 | no | — |
| 145 | C2×C3×D12 | — | 3 | 2 | no | — |
| 146 | C2×C3×D12 | — | 6 | 4 | no | — |
| 147 | D3×#67 | — | 6 | 4 | no | — |
| 148 | D3×#67 | — | 6 | 4 | no | — |
| 149 | D3×#67 | — | 6 | 8 | no | — |
| 150 | C2×#626 | — | 2 | 4 | no | — |
| 151 | C2×#626 | — | 3 | 1 | no | — |
| 152 | C2×#626 | — | 3 | 1 | no | — |
| 153 | C2×#626 | — | 3 | 2 | no | — |
| 154 | C2×#626 | — | 3 | 2 | no | — |
| 155 | C2×#626 | — | 6 | 1 | no | — |
| 156 | C2×#626 | — | 6 | 2 | no | — |
| 157 | C2×#626 | C2×D3 | 1 | 2 | yes | — |
| 158 | C2×#626 | C2×D3 | 1 | 2 | yes | complemented |
| 159 | C2×#625 | — | 3 | 1 | no | — |
| 160 | C2×#625 | — | 3 | 1 | no | — |
| 161 | C2×#625 | — | 6 | 1 | no | — |
| 162 | C2×#625 | C2×D3 | 1 | 2 | yes | complemented |
| 163 | C2×#624 | — | 3 | 2 | no | — |
| 164 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 165 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 166 | C2×D3×Dic3 | — | 3 | 2 | no | — |
| 167 | C2×D3×Dic3 | — | 3 | 2 | no | — |
| 168 | C2×D3×Dic3 | — | 6 | 1 | no | — |
| 169 | #3757 | — | 3 | 2 | no | — |
| 170 | #3757 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 171 | #3757 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 172 | #3752 | — | 3 | 2 | no | — |
| 173 | #3750 | — | 3 | 2 | no | — |
| 174 | C3×#217 | — | 3 | 1 | no | — |
| 175 | C3×#217 | — | 3 | 1 | no | — |
| 176 | C3×#217 | — | 3 | 1 | no | — |
| 177 | C3×#217 | — | 3 | 1 | no | — |
| 178 | C3×#217 | — | 3 | 2 | no | — |
| 179 | C3×#217 | — | 3 | 2 | no | — |
| 180 | C3×#217 | — | 6 | 1 | no | — |
| 181 | C3×#217 | — | 6 | 1 | no | — |
| 182 | C3×(C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 183 | C3×(C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 184 | C3×Dic3⋊C4 | — | 3 | 2 | no | — |
| 185 | C3×Dic3⋊C4 | — | 3 | 2 | no | — |
| 186 | #3724 | C2×D3 | 1 | 2 | yes | complemented |
| 187 | Dic3⋊Dic3 | — | 3 | 2 | no | — |
| 188 | Dic3⋊Dic3 | — | 3 | 2 | no | — |
| 189 | Dic3⋊Dic3 | — | 6 | 2 | no | — |
| 190 | #3722 | — | 3 | 2 | no | — |
| 191 | #3722 | — | 3 | 2 | no | — |
| 192 | #3722 | — | 3 | 2 | no | — |
| 193 | #3722 | — | 6 | 2 | no | — |
| 194 | (C2×D3)⋊Dic3 | — | 3 | 2 | no | — |
| 195 | (C2×D3)⋊Dic3 | — | 3 | 2 | no | — |
| 196 | (C2×D3)⋊Dic3 | — | 3 | 2 | no | — |
| 197 | (C2×D3)⋊Dic3 | — | 3 | 2 | no | — |
| 198 | (C2×D3)⋊Dic3 | — | 6 | 2 | no | — |
| 199 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 2 | yes | complemented |
| 200 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 2 | yes | complemented |
| 201 | C22×C33 | — | 2 | 2 | no | — |
| 202 | C22×C33 | C2×D4 | 1 | 2 | yes | — |
| 203 | C22×C33 | C24 | 1 | 1 | yes | characteristic |
| 204 | C2×C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 205 | C2×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 206 | C2×C3×C3⋊D3 | — | 2 | 2 | no | — |
| 207 | C2×C3×C3⋊D3 | — | 2 | 2 | no | — |
| 208 | C2×C3×C3⋊D3 | — | 4 | 4 | no | — |
| 209 | C2×C3×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 210 | C2×C3×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 211 | C2×C32×D3 | — | 2 | 1 | no | — |
| 212 | C2×C32×D3 | — | 2 | 2 | no | — |
| 213 | C2×C32×D3 | — | 2 | 2 | no | — |
| 214 | C2×C32×D3 | — | 2 | 2 | no | — |
| 215 | C2×C32×D3 | — | 2 | 2 | no | — |
| 216 | C2×C32×D3 | — | 4 | 4 | no | — |
| 217 | D3×C3⋊D3 | — | 4 | 4 | no | — |
| 218 | C3⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 219 | C3×C3⋊Dic3 | — | 2 | 2 | no | — |
| 220 | C3×C3⋊Dic3 | — | 2 | 2 | no | — |
| 221 | C32×Dic3 | — | 2 | 1 | no | — |
| 222 | C32×Dic3 | — | 2 | 2 | no | — |
| 223 | C22×C3×D4 | — | 9 | 1 | no | — |
| 224 | C22×#67 | — | 3 | 1 | no | — |
| 225 | C22×#67 | — | 9 | 1 | no | — |
| 226 | C2×D3×D4 | — | 9 | 1 | no | — |
| 227 | C2×D3×D4 | — | 9 | 1 | no | — |
| 228 | C2×D3×D4 | — | 18 | 1 | no | — |
| 229 | C22×D12 | — | 3 | 1 | no | — |
| 230 | C3×#123 | — | 9 | 1 | no | — |
| 231 | C3×#120 | — | 9 | 1 | no | — |
| 232 | #953 | — | 3 | 1 | no | — |
| 233 | #953 | — | 9 | 1 | no | — |
| 234 | #953 | — | 9 | 1 | no | — |
| 235 | #953 | — | 18 | 1 | no | — |
| 236 | C2×#217 | — | 9 | 1 | no | — |
| 237 | #939 | — | 9 | 2 | no | — |
| 238 | #939 | — | 9 | 2 | no | — |
| 239 | #938 | — | 9 | 2 | no | — |
| 240 | #937 | — | 3 | 1 | no | — |
| 241 | #937 | — | 9 | 2 | no | — |
| 242 | #937 | — | 9 | 2 | no | — |
| 243 | #935 | — | 3 | 1 | no | — |
| 244 | #935 | — | 9 | 2 | no | — |
| 245 | #929 | — | 3 | 1 | no | — |
| 246 | #929 | — | 9 | 1 | no | — |
| 247 | #929 | — | 9 | 1 | no | — |
| 248 | #929 | — | 18 | 1 | no | — |
| 249 | #895 | — | 9 | 2 | no | — |
| 250 | #894 | — | 9 | 2 | no | — |
| 251 | #886 | — | 9 | 1 | no | — |
| 252 | #884 | — | 9 | 2 | no | — |
| 253 | #884 | — | 9 | 2 | no | — |
| 254 | #883 | — | 9 | 2 | no | — |
| 255 | #882 | — | 9 | 2 | no | — |
| 256 | #882 | — | 9 | 1 | no | — |
| 257 | D3×C22⋊C4 | — | 9 | 1 | no | — |
| 258 | D3×C22⋊C4 | — | 9 | 1 | no | — |
| 259 | C23×C32 | — | 2 | 1 | no | — |
| 260 | C23×C32 | — | 2 | 1 | no | — |
| 261 | C23×C32 | — | 2 | 1 | no | — |
| 262 | C23×C32 | — | 3 | 1 | no | — |
| 263 | C23×C32 | — | 3 | 2 | no | — |
| 264 | C23×C32 | — | 4 | 1 | no | — |
| 265 | C23×C32 | — | 6 | 2 | no | — |
| 266 | C23×C32 | — | 12 | 2 | no | — |
| 267 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 268 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 269 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 270 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 271 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 272 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 273 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 274 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 275 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 276 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 277 | C22×C3⋊D3 | — | 6 | 2 | no | — |
| 278 | C22×C3⋊D3 | — | 12 | 1 | no | — |
| 279 | C22×C3⋊D3 | — | 12 | 2 | no | — |
| 280 | C22×C3⋊D3 | #67 | 1 | 4 | yes | complemented |
| 281 | C22×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | C22×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 283 | C22×C3×D3 | — | 2 | 2 | no | — |
| 284 | C22×C3×D3 | — | 2 | 2 | no | — |
| 285 | C22×C3×D3 | — | 2 | 1 | no | — |
| 286 | C22×C3×D3 | — | 2 | 2 | no | — |
| 287 | C22×C3×D3 | — | 3 | 1 | no | — |
| 288 | C22×C3×D3 | — | 3 | 1 | no | — |
| 289 | C22×C3×D3 | — | 3 | 1 | no | — |
| 290 | C22×C3×D3 | — | 3 | 1 | no | — |
| 291 | C22×C3×D3 | — | 3 | 4 | no | — |
| 292 | C22×C3×D3 | — | 3 | 4 | no | — |
| 293 | C22×C3×D3 | — | 4 | 2 | no | — |
| 294 | C22×C3×D3 | — | 4 | 2 | no | — |
| 295 | C22×C3×D3 | — | 4 | 2 | no | — |
| 296 | C22×C3×D3 | — | 4 | 4 | no | — |
| 297 | C22×C3×D3 | — | 6 | 1 | no | — |
| 298 | C22×C3×D3 | — | 6 | 4 | no | — |
| 299 | C22×C3×D3 | — | 6 | 1 | no | — |
| 300 | C22×C3×D3 | — | 12 | 2 | no | — |
| 301 | C22×C3×D3 | — | 12 | 2 | no | — |
| 302 | C22×C3×D3 | — | 12 | 4 | no | — |
| 303 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 305 | C22×C3×D3 | C22×D3 | 1 | 2 | yes | — |
| 306 | C22×C3×D3 | C22×D3 | 1 | 2 | yes | — |
| 307 | C2×D32 | — | 6 | 2 | no | — |
| 308 | C2×D32 | — | 6 | 2 | no | — |
| 309 | C2×D32 | — | 6 | 4 | no | — |
| 310 | C2×D32 | — | 12 | 2 | no | — |
| 311 | C2×D32 | — | 12 | 2 | no | — |
| 312 | C2×D32 | — | 12 | 4 | no | — |
| 313 | C32×D4 | — | 6 | 2 | no | — |
| 314 | C2×C32×C4 | — | 3 | 1 | no | — |
| 315 | C2×C32×C4 | — | 3 | 2 | no | — |
| 316 | C2×C32×C4 | — | 6 | 2 | no | — |
| 317 | #638 | — | 6 | 2 | no | — |
| 318 | #638 | — | 6 | 2 | no | — |
| 319 | #638 | — | 6 | 4 | no | — |
| 320 | #638 | — | 6 | 2 | no | — |
| 321 | #638 | — | 6 | 2 | no | — |
| 322 | #638 | — | 12 | 2 | no | — |
| 323 | #638 | — | 12 | 2 | no | — |
| 324 | #638 | — | 12 | 4 | no | — |
| 325 | #638 | — | 12 | 2 | no | — |
| 326 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 327 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 328 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 329 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 330 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 331 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 332 | C2×C3⋊Dic3 | — | 12 | 1 | no | — |
| 333 | C2×C3⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 334 | C2×C3⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 335 | C4⋊(C3⋊D3) | — | 6 | 2 | no | — |
| 336 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 337 | C3×#67 | — | 2 | 4 | no | — |
| 338 | C3×#67 | — | 2 | 2 | no | — |
| 339 | C3×#67 | — | 2 | 2 | no | — |
| 340 | C3×#67 | — | 6 | 4 | no | — |
| 341 | C3×#67 | — | 6 | 4 | no | — |
| 342 | C3×#67 | — | 12 | 2 | no | — |
| 343 | C3×#67 | — | 12 | 2 | no | — |
| 344 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 345 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 346 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 347 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 348 | C2×C3×Dic3 | — | 3 | 2 | no | — |
| 349 | C2×C3×Dic3 | — | 3 | 2 | no | — |
| 350 | C2×C3×Dic3 | — | 3 | 2 | no | — |
| 351 | C2×C3×Dic3 | — | 3 | 2 | no | — |
| 352 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 353 | C2×C3×Dic3 | — | 6 | 2 | no | — |
| 354 | C2×C3×Dic3 | — | 6 | 2 | no | — |
| 355 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 356 | C2×C3×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 357 | C2×C3×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 358 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 359 | C3×D12 | — | 6 | 4 | no | — |
| 360 | C3×D12 | — | 6 | 4 | no | — |
| 361 | #626 | — | 2 | 4 | no | — |
| 362 | #626 | — | 2 | 4 | no | — |
| 363 | #626 | — | 6 | 2 | no | — |
| 364 | #626 | — | 6 | 2 | no | — |
| 365 | #626 | — | 6 | 4 | no | — |
| 366 | #626 | — | 12 | 2 | no | — |
| 367 | #626 | — | 12 | 2 | no | — |
| 368 | #626 | — | 12 | 4 | no | — |
| 369 | #625 | — | 4 | 2 | no | — |
| 370 | #625 | — | 6 | 2 | no | — |
| 371 | #625 | — | 6 | 2 | no | — |
| 372 | #625 | — | 6 | 4 | no | — |
| 373 | #624 | — | 12 | 2 | no | — |
| 374 | D3×Dic3 | — | 6 | 2 | no | — |
| 375 | D3×Dic3 | — | 6 | 2 | no | — |
| 376 | D3×Dic3 | — | 6 | 4 | no | — |
| 377 | D3×Dic3 | — | 12 | 2 | no | — |
| 378 | D3×Dic3 | — | 12 | 2 | no | — |
| 379 | #534 | — | 27 | 1 | no | Sylow |
| 380 | C2×C33 | — | 2 | 2 | no | — |
| 381 | C2×C33 | C22×D4 | 1 | 1 | yes | characteristic |
| 382 | C2×C33 | H(5,𝔽2) | 1 | 2 | yes | — |
| 383 | C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 384 | C3×C3⋊D3 | — | 2 | 2 | no | — |
| 385 | C3×C3⋊D3 | — | 2 | 2 | no | — |
| 386 | C32×D3 | — | 4 | 1 | no | — |
| 387 | C32×D3 | — | 4 | 2 | no | — |
| 388 | C24×C3 | — | 3 | 1 | no | — |
| 389 | C24×C3 | — | 3 | 1 | no | — |
| 390 | C24×C3 | — | 6 | 1 | no | — |
| 391 | C24×C3 | — | 9 | 1 | no | — |
| 392 | C23×D3 | — | 3 | 1 | no | — |
| 393 | C23×D3 | — | 3 | 1 | no | — |
| 394 | C23×D3 | — | 6 | 1 | no | — |
| 395 | C23×D3 | — | 9 | 1 | no | — |
| 396 | C23×D3 | — | 9 | 1 | no | — |
| 397 | C23×D3 | — | 9 | 1 | no | — |
| 398 | C23×D3 | — | 18 | 1 | no | — |
| 399 | C23×D3 | D32 | 1 | 1 | yes | characteristic, complemented |
| 400 | C2×C3×D4 | — | 3 | 1 | no | — |
| 401 | C2×C3×D4 | — | 3 | 1 | no | — |
| 402 | C2×C3×D4 | — | 6 | 1 | no | — |
| 403 | C2×C3×D4 | — | 9 | 2 | no | — |
| 404 | C2×C3×D4 | — | 9 | 2 | no | — |
| 405 | C2×C3×D4 | — | 9 | 2 | no | — |
| 406 | C2×C3×D4 | — | 18 | 4 | no | — |
| 407 | C22×C3×C4 | — | 3 | 1 | no | — |
| 408 | C22×C3×C4 | — | 3 | 1 | no | — |
| 409 | C22×C3×C4 | — | 6 | 1 | no | — |
| 410 | C2×#67 | — | 3 | 2 | no | — |
| 411 | C2×#67 | — | 3 | 2 | no | — |
| 412 | C2×#67 | — | 3 | 2 | no | — |
| 413 | C2×#67 | — | 3 | 2 | no | — |
| 414 | C2×#67 | — | 6 | 4 | no | — |
| 415 | C2×#67 | — | 9 | 2 | no | — |
| 416 | C2×#67 | — | 9 | 2 | no | — |
| 417 | C2×#67 | — | 9 | 1 | no | — |
| 418 | C2×#67 | — | 9 | 1 | no | — |
| 419 | C2×#67 | — | 9 | 1 | no | — |
| 420 | C2×#67 | — | 9 | 1 | no | — |
| 421 | C2×#67 | — | 9 | 1 | no | — |
| 422 | C2×#67 | — | 9 | 1 | no | — |
| 423 | C2×#67 | — | 9 | 1 | no | — |
| 424 | C2×#67 | — | 18 | 2 | no | — |
| 425 | C2×#67 | — | 18 | 1 | no | — |
| 426 | C2×#67 | — | 18 | 1 | no | — |
| 427 | C2×#67 | — | 18 | 1 | no | — |
| 428 | C2×#67 | — | 18 | 1 | no | — |
| 429 | C2×#67 | — | 18 | 4 | no | — |
| 430 | C2×#67 | — | 36 | 1 | no | — |
| 431 | C2×#67 | D32 | 1 | 1 | yes | characteristic |
| 432 | C22×Dic3 | — | 9 | 2 | no | — |
| 433 | C22×Dic3 | — | 9 | 1 | no | — |
| 434 | C22×Dic3 | D32 | 1 | 1 | yes | characteristic, complemented |
| 435 | D3×D4 | — | 18 | 4 | no | — |
| 436 | D3×D4 | — | 18 | 4 | no | — |
| 437 | D3×D4 | — | 18 | 8 | no | — |
| 438 | C2×D12 | — | 3 | 2 | no | — |
| 439 | C2×D12 | — | 3 | 2 | no | — |
| 440 | C2×D12 | — | 6 | 4 | no | — |
| 441 | C2×D12 | — | 9 | 1 | no | — |
| 442 | C2×D12 | — | 9 | 1 | no | — |
| 443 | C2×D12 | — | 9 | 2 | no | — |
| 444 | C2×D12 | — | 18 | 1 | no | — |
| 445 | C2×C4×D3 | — | 9 | 1 | no | — |
| 446 | C2×C4×D3 | — | 9 | 1 | no | — |
| 447 | C2×C4×D3 | — | 9 | 2 | no | — |
| 448 | C2×C4×D3 | — | 9 | 2 | no | — |
| 449 | C2×C4×D3 | — | 18 | 1 | no | — |
| 450 | C3×C4⋊C4 | — | 9 | 2 | no | — |
| 451 | C3×C22⋊C4 | — | 9 | 2 | no | — |
| 452 | C3×C22⋊C4 | — | 9 | 2 | no | — |
| 453 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 454 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 455 | #217 | — | 3 | 1 | no | — |
| 456 | #217 | — | 3 | 1 | no | — |
| 457 | #217 | — | 3 | 1 | no | — |
| 458 | #217 | — | 3 | 1 | no | — |
| 459 | #217 | — | 3 | 2 | no | — |
| 460 | #217 | — | 3 | 2 | no | — |
| 461 | #217 | — | 6 | 1 | no | — |
| 462 | #217 | — | 6 | 1 | no | — |
| 463 | #217 | — | 9 | 2 | no | — |
| 464 | #217 | — | 9 | 2 | no | — |
| 465 | #217 | — | 9 | 2 | no | — |
| 466 | #217 | — | 18 | 2 | no | — |
| 467 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 468 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 469 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 470 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 471 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 472 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 473 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 474 | (C2×D3)⋊C4 | — | 9 | 2 | no | — |
| 475 | (C2×D3)⋊C4 | — | 18 | 2 | no | — |
| 476 | C4⋊Dic3 | — | 9 | 2 | no | — |
| 477 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 478 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 479 | Dic3⋊C4 | — | 9 | 2 | no | — |
| 480 | Dic3⋊C4 | — | 9 | 2 | no | — |
| 481 | Dic3⋊C4 | — | 18 | 2 | no | — |
| 482 | C22×C32 | — | 2 | 2 | no | — |
| 483 | C22×C32 | — | 2 | 2 | no | — |
| 484 | C22×C32 | — | 2 | 2 | no | — |
| 485 | C22×C32 | — | 2 | 1 | no | — |
| 486 | C22×C32 | — | 2 | 1 | no | — |
| 487 | C22×C32 | — | 2 | 1 | no | — |
| 488 | C22×C32 | — | 2 | 2 | no | — |
| 489 | C22×C32 | — | 2 | 2 | no | — |
| 490 | C22×C32 | — | 2 | 2 | no | — |
| 491 | C22×C32 | — | 4 | 1 | no | — |
| 492 | C22×C32 | — | 4 | 2 | no | — |
| 493 | C22×C32 | — | 4 | 2 | no | — |
| 494 | C22×C32 | — | 4 | 2 | no | — |
| 495 | C22×C32 | — | 4 | 2 | no | — |
| 496 | C22×C32 | — | 6 | 2 | no | — |
| 497 | C22×C32 | — | 6 | 1 | no | — |
| 498 | C22×C32 | — | 6 | 2 | no | — |
| 499 | C22×C32 | — | 6 | 2 | no | — |
| 500 | C22×C32 | — | 6 | 2 | no | — |
| 501 | C22×C32 | — | 8 | 2 | no | — |
| 502 | C22×C32 | — | 12 | 4 | no | — |
| 503 | C22×C32 | D3×D4 | 1 | 2 | yes | — |
| 504 | C22×C32 | D3×D4 | 1 | 2 | yes | — |
| 505 | C22×C32 | C2×#67 | 1 | 2 | yes | — |
| 506 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 507 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 508 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 509 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 510 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 511 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 512 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 513 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 514 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 515 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 516 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 517 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 518 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 519 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 520 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 521 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 522 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 523 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 524 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 525 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 526 | C2×C3⋊D3 | — | 24 | 2 | no | — |
| 527 | C2×C3⋊D3 | C2×#67 | 1 | 2 | yes | — |
| 528 | C2×C3⋊D3 | C2×#67 | 1 | 2 | yes | — |
| 529 | C2×C3×D3 | — | 2 | 2 | no | — |
| 530 | C2×C3×D3 | — | 2 | 4 | no | — |
| 531 | C2×C3×D3 | — | 2 | 1 | no | — |
| 532 | C2×C3×D3 | — | 2 | 1 | no | — |
| 533 | C2×C3×D3 | — | 2 | 2 | no | — |
| 534 | C2×C3×D3 | — | 2 | 2 | no | — |
| 535 | C2×C3×D3 | — | 2 | 2 | no | — |
| 536 | C2×C3×D3 | — | 2 | 2 | no | — |
| 537 | C2×C3×D3 | — | 2 | 2 | no | — |
| 538 | C2×C3×D3 | — | 2 | 2 | no | — |
| 539 | C2×C3×D3 | — | 2 | 2 | no | — |
| 540 | C2×C3×D3 | — | 2 | 2 | no | — |
| 541 | C2×C3×D3 | — | 3 | 2 | no | — |
| 542 | C2×C3×D3 | — | 3 | 2 | no | — |
| 543 | C2×C3×D3 | — | 3 | 2 | no | — |
| 544 | C2×C3×D3 | — | 3 | 2 | no | — |
| 545 | C2×C3×D3 | — | 4 | 2 | no | — |
| 546 | C2×C3×D3 | — | 4 | 2 | no | — |
| 547 | C2×C3×D3 | — | 4 | 2 | no | — |
| 548 | C2×C3×D3 | — | 4 | 4 | no | — |
| 549 | C2×C3×D3 | — | 4 | 4 | no | — |
| 550 | C2×C3×D3 | — | 4 | 8 | no | — |
| 551 | C2×C3×D3 | — | 6 | 2 | no | — |
| 552 | C2×C3×D3 | — | 6 | 2 | no | — |
| 553 | C2×C3×D3 | — | 6 | 4 | no | — |
| 554 | C2×C3×D3 | — | 6 | 2 | no | — |
| 555 | C2×C3×D3 | — | 6 | 2 | no | — |
| 556 | C2×C3×D3 | — | 6 | 2 | no | — |
| 557 | C2×C3×D3 | — | 6 | 2 | no | — |
| 558 | C2×C3×D3 | — | 12 | 2 | no | — |
| 559 | C2×C3×D3 | — | 12 | 4 | no | — |
| 560 | C2×C3×D3 | — | 12 | 4 | no | — |
| 561 | C2×C3×D3 | — | 12 | 8 | no | — |
| 562 | D32 | — | 12 | 8 | no | — |
| 563 | D32 | — | 12 | 4 | no | — |
| 564 | D32 | — | 12 | 4 | no | — |
| 565 | C32×C4 | — | 6 | 1 | no | — |
| 566 | C32×C4 | — | 6 | 2 | no | — |
| 567 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 568 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 569 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 570 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 571 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 572 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 573 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 574 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 575 | C3⋊Dic3 | — | 12 | 2 | no | — |
| 576 | C3×Dic3 | — | 2 | 2 | no | — |
| 577 | C3×Dic3 | — | 2 | 1 | no | — |
| 578 | C3×Dic3 | — | 2 | 1 | no | — |
| 579 | C3×Dic3 | — | 2 | 2 | no | — |
| 580 | C3×Dic3 | — | 2 | 2 | no | — |
| 581 | C3×Dic3 | — | 4 | 2 | no | — |
| 582 | C3×Dic3 | — | 6 | 2 | no | — |
| 583 | C3×Dic3 | — | 6 | 2 | no | — |
| 584 | C3×Dic3 | — | 6 | 2 | no | — |
| 585 | C3×Dic3 | — | 6 | 2 | no | — |
| 586 | C3×Dic3 | — | 12 | 2 | no | — |
| 587 | C3×Dic3 | — | 12 | 2 | no | — |
| 588 | C22×D4 | — | 9 | 1 | no | — |
| 589 | C22×D4 | — | 27 | 1 | no | — |
| 590 | #123 | — | 9 | 1 | no | — |
| 591 | #123 | — | 27 | 2 | no | — |
| 592 | #123 | — | 27 | 1 | no | — |
| 593 | #121 | — | 27 | 2 | no | — |
| 594 | #121 | — | 27 | 2 | no | — |
| 595 | #120 | — | 9 | 1 | no | — |
| 596 | #120 | — | 27 | 2 | no | — |
| 597 | #120 | — | 27 | 1 | no | — |
| 598 | C2×C22⋊C4 | — | 27 | 1 | no | — |
| 599 | C33 | #534 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 600 | C23×C3 | — | 2 | 1 | no | — |
| 601 | C23×C3 | — | 2 | 1 | no | — |
| 602 | C23×C3 | — | 2 | 1 | no | — |
| 603 | C23×C3 | — | 3 | 1 | no | — |
| 604 | C23×C3 | — | 3 | 2 | no | — |
| 605 | C23×C3 | — | 3 | 2 | no | — |
| 606 | C23×C3 | — | 3 | 1 | no | — |
| 607 | C23×C3 | — | 4 | 1 | no | — |
| 608 | C23×C3 | — | 6 | 2 | no | — |
| 609 | C23×C3 | — | 6 | 1 | no | — |
| 610 | C23×C3 | — | 6 | 2 | no | — |
| 611 | C23×C3 | — | 6 | 2 | no | — |
| 612 | C23×C3 | — | 9 | 1 | no | — |
| 613 | C23×C3 | — | 9 | 1 | no | — |
| 614 | C23×C3 | — | 9 | 4 | no | — |
| 615 | C23×C3 | — | 12 | 2 | no | — |
| 616 | C23×C3 | — | 12 | 2 | no | — |
| 617 | C23×C3 | — | 12 | 2 | no | — |
| 618 | C23×C3 | — | 12 | 4 | no | — |
| 619 | C23×C3 | — | 36 | 2 | no | — |
| 620 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 621 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 622 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 623 | C22×D3 | — | 2 | 2 | no | — |
| 624 | C22×D3 | — | 3 | 1 | no | — |
| 625 | C22×D3 | — | 3 | 1 | no | — |
| 626 | C22×D3 | — | 3 | 1 | no | — |
| 627 | C22×D3 | — | 3 | 1 | no | — |
| 628 | C22×D3 | — | 3 | 4 | no | — |
| 629 | C22×D3 | — | 3 | 4 | no | — |
| 630 | C22×D3 | — | 4 | 2 | no | — |
| 631 | C22×D3 | — | 6 | 1 | no | — |
| 632 | C22×D3 | — | 6 | 4 | no | — |
| 633 | C22×D3 | — | 6 | 1 | no | — |
| 634 | C22×D3 | — | 9 | 1 | no | — |
| 635 | C22×D3 | — | 9 | 1 | no | — |
| 636 | C22×D3 | — | 9 | 1 | no | — |
| 637 | C22×D3 | — | 12 | 2 | no | — |
| 638 | C22×D3 | — | 12 | 2 | no | — |
| 639 | C22×D3 | — | 12 | 4 | no | — |
| 640 | C22×D3 | — | 18 | 1 | no | — |
| 641 | C22×D3 | — | 18 | 1 | no | — |
| 642 | C22×D3 | — | 18 | 1 | no | — |
| 643 | C22×D3 | — | 18 | 2 | no | — |
| 644 | C22×D3 | — | 18 | 2 | no | — |
| 645 | C22×D3 | — | 18 | 2 | no | — |
| 646 | C22×D3 | — | 18 | 4 | no | — |
| 647 | C22×D3 | — | 36 | 1 | no | — |
| 648 | C22×D3 | — | 36 | 2 | no | — |
| 649 | C22×D3 | — | 36 | 2 | no | — |
| 650 | C22×D3 | — | 36 | 2 | no | — |
| 651 | C22×D3 | — | 36 | 4 | no | — |
| 652 | C22×D3 | C2×D32 | 1 | 1 | yes | characteristic |
| 653 | C22×D3 | C2×D32 | 1 | 2 | yes | — |
| 654 | C3×D4 | — | 6 | 4 | no | — |
| 655 | C3×D4 | — | 6 | 2 | no | — |
| 656 | C3×D4 | — | 6 | 2 | no | — |
| 657 | C3×D4 | — | 18 | 4 | no | — |
| 658 | C3×D4 | — | 18 | 4 | no | — |
| 659 | C3×D4 | — | 36 | 2 | no | — |
| 660 | C2×C3×C4 | — | 3 | 1 | no | — |
| 661 | C2×C3×C4 | — | 3 | 2 | no | — |
| 662 | C2×C3×C4 | — | 3 | 2 | no | — |
| 663 | C2×C3×C4 | — | 3 | 1 | no | — |
| 664 | C2×C3×C4 | — | 6 | 1 | no | — |
| 665 | C2×C3×C4 | — | 6 | 2 | no | — |
| 666 | C2×C3×C4 | — | 6 | 2 | no | — |
| 667 | C2×C3×C4 | — | 6 | 2 | no | — |
| 668 | C2×C3×C4 | — | 9 | 2 | no | — |
| 669 | C2×C3×C4 | — | 9 | 2 | no | — |
| 670 | C2×C3×C4 | — | 12 | 2 | no | — |
| 671 | #67 | — | 2 | 2 | no | — |
| 672 | #67 | — | 6 | 4 | no | — |
| 673 | #67 | — | 6 | 4 | no | — |
| 674 | #67 | — | 12 | 2 | no | — |
| 675 | #67 | — | 12 | 2 | no | — |
| 676 | #67 | — | 18 | 2 | no | — |
| 677 | #67 | — | 18 | 2 | no | — |
| 678 | #67 | — | 18 | 2 | no | — |
| 679 | #67 | — | 18 | 2 | no | — |
| 680 | #67 | — | 18 | 4 | no | — |
| 681 | #67 | — | 18 | 4 | no | — |
| 682 | #67 | — | 18 | 2 | no | — |
| 683 | #67 | — | 18 | 2 | no | — |
| 684 | #67 | — | 18 | 2 | no | — |
| 685 | #67 | — | 36 | 2 | no | — |
| 686 | #67 | — | 36 | 2 | no | — |
| 687 | #67 | — | 36 | 4 | no | — |
| 688 | #67 | — | 36 | 2 | no | — |
| 689 | #67 | — | 36 | 2 | no | — |
| 690 | #67 | — | 36 | 4 | no | — |
| 691 | C2×Dic3 | — | 2 | 2 | no | — |
| 692 | C2×Dic3 | — | 3 | 2 | no | — |
| 693 | C2×Dic3 | — | 3 | 2 | no | — |
| 694 | C2×Dic3 | — | 3 | 2 | no | — |
| 695 | C2×Dic3 | — | 3 | 2 | no | — |
| 696 | C2×Dic3 | — | 6 | 2 | no | — |
| 697 | C2×Dic3 | — | 6 | 2 | no | — |
| 698 | C2×Dic3 | — | 9 | 1 | no | — |
| 699 | C2×Dic3 | — | 9 | 1 | no | — |
| 700 | C2×Dic3 | — | 9 | 1 | no | — |
| 701 | C2×Dic3 | — | 18 | 1 | no | — |
| 702 | C2×Dic3 | — | 18 | 1 | no | — |
| 703 | C2×Dic3 | — | 18 | 1 | no | — |
| 704 | C2×Dic3 | — | 18 | 2 | no | — |
| 705 | C2×Dic3 | — | 36 | 1 | no | — |
| 706 | C2×Dic3 | — | 36 | 2 | no | — |
| 707 | C2×Dic3 | C2×D32 | 1 | 1 | yes | characteristic |
| 708 | C2×Dic3 | C2×D32 | 1 | 2 | yes | — |
| 709 | D12 | — | 6 | 4 | no | — |
| 710 | D12 | — | 6 | 4 | no | — |
| 711 | D12 | — | 18 | 2 | no | — |
| 712 | D12 | — | 18 | 2 | no | — |
| 713 | D12 | — | 18 | 4 | no | — |
| 714 | D12 | — | 36 | 2 | no | — |
| 715 | C4×D3 | — | 18 | 2 | no | — |
| 716 | C4×D3 | — | 18 | 2 | no | — |
| 717 | C4×D3 | — | 18 | 4 | no | — |
| 718 | C4×D3 | — | 36 | 2 | no | — |
| 719 | C4×D3 | — | 36 | 2 | no | — |
| 720 | C2×C32 | — | 2 | 2 | no | — |
| 721 | C2×C32 | — | 2 | 2 | no | — |
| 722 | C2×C32 | — | 2 | 2 | no | — |
| 723 | C2×C32 | — | 2 | 2 | no | — |
| 724 | C2×C32 | — | 2 | 2 | no | — |
| 725 | C2×C32 | — | 2 | 1 | no | — |
| 726 | C2×C32 | — | 2 | 1 | no | — |
| 727 | C2×C32 | — | 2 | 1 | no | — |
| 728 | C2×C32 | — | 2 | 2 | no | — |
| 729 | C2×C32 | — | 4 | 1 | no | — |
| 730 | C2×C32 | — | 4 | 2 | no | — |
| 731 | C2×C32 | — | 4 | 2 | no | — |
| 732 | C2×C32 | — | 4 | 2 | no | — |
| 733 | C2×C32 | — | 4 | 2 | no | — |
| 734 | C2×C32 | — | 8 | 2 | no | — |
| 735 | C2×C32 | — | 12 | 2 | no | — |
| 736 | C2×C32 | — | 12 | 1 | no | — |
| 737 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 738 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 739 | C2×C32 | #1004 | 1 | 2 | yes | — |
| 740 | C2×C32 | #1004 | 1 | 2 | yes | — |
| 741 | C2×C32 | #1009 | 1 | 2 | yes | — |
| 742 | C2×C32 | C22×#67 | 1 | 1 | yes | characteristic |
| 743 | C3⋊D3 | — | 2 | 2 | no | — |
| 744 | C3⋊D3 | — | 2 | 2 | no | — |
| 745 | C3⋊D3 | — | 12 | 1 | no | — |
| 746 | C3⋊D3 | — | 12 | 2 | no | — |
| 747 | C3⋊D3 | — | 12 | 1 | no | — |
| 748 | C3⋊D3 | — | 12 | 1 | no | — |
| 749 | C3⋊D3 | — | 24 | 1 | no | — |
| 750 | C3⋊D3 | — | 24 | 1 | no | — |
| 751 | C3⋊D3 | — | 24 | 2 | no | — |
| 752 | C3×D3 | — | 4 | 2 | no | — |
| 753 | C3×D3 | — | 4 | 4 | no | — |
| 754 | C3×D3 | — | 4 | 1 | no | — |
| 755 | C3×D3 | — | 4 | 2 | no | — |
| 756 | C3×D3 | — | 4 | 1 | no | — |
| 757 | C3×D3 | — | 4 | 2 | no | — |
| 758 | C3×D3 | — | 6 | 4 | no | — |
| 759 | C3×D3 | — | 6 | 2 | no | — |
| 760 | C3×D3 | — | 6 | 2 | no | — |
| 761 | C3×D3 | — | 6 | 2 | no | — |
| 762 | C3×D3 | — | 6 | 2 | no | — |
| 763 | C3×D3 | — | 12 | 2 | no | — |
| 764 | C24 | — | 3 | 1 | no | — |
| 765 | C24 | — | 9 | 1 | no | — |
| 766 | C24 | — | 27 | 1 | no | — |
| 767 | C2×D4 | — | 3 | 1 | no | — |
| 768 | C2×D4 | — | 9 | 2 | no | — |
| 769 | C2×D4 | — | 9 | 2 | no | — |
| 770 | C2×D4 | — | 9 | 2 | no | — |
| 771 | C2×D4 | — | 18 | 4 | no | — |
| 772 | C2×D4 | — | 27 | 1 | no | — |
| 773 | C2×D4 | — | 27 | 2 | no | — |
| 774 | C2×D4 | — | 27 | 1 | no | — |
| 775 | C2×D4 | — | 27 | 1 | no | — |
| 776 | C2×D4 | — | 54 | 4 | no | — |
| 777 | C22×C4 | — | 3 | 1 | no | — |
| 778 | C22×C4 | — | 27 | 1 | no | — |
| 779 | C22×C4 | — | 27 | 2 | no | — |
| 780 | C4⋊C4 | — | 9 | 2 | no | — |
| 781 | C4⋊C4 | — | 27 | 2 | no | — |
| 782 | C22⋊C4 | — | 9 | 2 | no | — |
| 783 | C22⋊C4 | — | 9 | 2 | no | — |
| 784 | C22⋊C4 | — | 9 | 1 | no | — |
| 785 | C22⋊C4 | — | 9 | 1 | no | — |
| 786 | C22⋊C4 | — | 27 | 2 | no | — |
| 787 | C22⋊C4 | — | 27 | 2 | no | — |
| 788 | C22⋊C4 | — | 27 | 2 | no | — |
| 789 | C22×C3 | — | 2 | 2 | no | — |
| 790 | C22×C3 | — | 2 | 2 | no | — |
| 791 | C22×C3 | — | 2 | 2 | no | — |
| 792 | C22×C3 | — | 2 | 1 | no | — |
| 793 | C22×C3 | — | 2 | 1 | no | — |
| 794 | C22×C3 | — | 2 | 1 | no | — |
| 795 | C22×C3 | — | 2 | 2 | no | — |
| 796 | C22×C3 | — | 2 | 2 | no | — |
| 797 | C22×C3 | — | 2 | 2 | no | — |
| 798 | C22×C3 | — | 4 | 2 | no | — |
| 799 | C22×C3 | — | 4 | 2 | no | — |
| 800 | C22×C3 | — | 4 | 2 | no | — |
| 801 | C22×C3 | — | 4 | 1 | no | — |
| 802 | C22×C3 | — | 4 | 2 | no | — |
| 803 | C22×C3 | — | 6 | 2 | no | — |
| 804 | C22×C3 | — | 6 | 4 | no | — |
| 805 | C22×C3 | — | 6 | 2 | no | — |
| 806 | C22×C3 | — | 6 | 2 | no | — |
| 807 | C22×C3 | — | 6 | 2 | no | — |
| 808 | C22×C3 | — | 6 | 2 | no | — |
| 809 | C22×C3 | — | 6 | 2 | no | — |
| 810 | C22×C3 | — | 6 | 2 | no | — |
| 811 | C22×C3 | — | 6 | 1 | no | — |
| 812 | C22×C3 | — | 6 | 1 | no | — |
| 813 | C22×C3 | — | 6 | 2 | no | — |
| 814 | C22×C3 | — | 6 | 2 | no | — |
| 815 | C22×C3 | — | 8 | 2 | no | — |
| 816 | C22×C3 | — | 9 | 2 | no | — |
| 817 | C22×C3 | — | 9 | 2 | no | — |
| 818 | C22×C3 | — | 12 | 2 | no | — |
| 819 | C22×C3 | — | 12 | 2 | no | — |
| 820 | C22×C3 | — | 12 | 2 | no | — |
| 821 | C22×C3 | — | 12 | 4 | no | — |
| 822 | C22×C3 | — | 12 | 4 | no | — |
| 823 | C22×C3 | — | 12 | 8 | no | — |
| 824 | C22×C3 | — | 18 | 2 | no | — |
| 825 | C22×C3 | — | 18 | 2 | no | — |
| 826 | C22×C3 | — | 36 | 4 | no | — |
| 827 | C22×C3 | D3×#67 | 1 | 2 | yes | — |
| 828 | C22×C3 | D3×#67 | 1 | 2 | yes | — |
| 829 | C22×C3 | #3811 | 1 | 2 | yes | — |
| 830 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 831 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 832 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 833 | C2×D3 | — | 2 | 2 | no | — |
| 834 | C2×D3 | — | 2 | 2 | no | — |
| 835 | C2×D3 | — | 2 | 1 | no | — |
| 836 | C2×D3 | — | 2 | 2 | no | — |
| 837 | C2×D3 | — | 2 | 2 | no | — |
| 838 | C2×D3 | — | 3 | 2 | no | — |
| 839 | C2×D3 | — | 3 | 2 | no | — |
| 840 | C2×D3 | — | 3 | 2 | no | — |
| 841 | C2×D3 | — | 3 | 2 | no | — |
| 842 | C2×D3 | — | 4 | 4 | no | — |
| 843 | C2×D3 | — | 6 | 2 | no | — |
| 844 | C2×D3 | — | 6 | 2 | no | — |
| 845 | C2×D3 | — | 6 | 4 | no | — |
| 846 | C2×D3 | — | 6 | 2 | no | — |
| 847 | C2×D3 | — | 6 | 2 | no | — |
| 848 | C2×D3 | — | 6 | 2 | no | — |
| 849 | C2×D3 | — | 6 | 2 | no | — |
| 850 | C2×D3 | — | 12 | 2 | no | — |
| 851 | C2×D3 | — | 12 | 4 | no | — |
| 852 | C2×D3 | — | 12 | 4 | no | — |
| 853 | C2×D3 | — | 12 | 8 | no | — |
| 854 | C2×D3 | — | 18 | 2 | no | — |
| 855 | C2×D3 | — | 18 | 2 | no | — |
| 856 | C2×D3 | — | 18 | 2 | no | — |
| 857 | C2×D3 | — | 18 | 1 | no | — |
| 858 | C2×D3 | — | 18 | 1 | no | — |
| 859 | C2×D3 | — | 18 | 1 | no | — |
| 860 | C2×D3 | — | 18 | 2 | no | — |
| 861 | C2×D3 | — | 36 | 2 | no | — |
| 862 | C2×D3 | — | 36 | 1 | no | — |
| 863 | C2×D3 | — | 36 | 1 | no | — |
| 864 | C2×D3 | — | 36 | 2 | no | — |
| 865 | C2×D3 | — | 36 | 2 | no | — |
| 866 | C2×D3 | — | 36 | 2 | no | — |
| 867 | C2×D3 | — | 36 | 4 | no | — |
| 868 | C2×D3 | — | 36 | 8 | no | — |
| 869 | C2×D3 | — | 36 | 4 | no | — |
| 870 | C2×D3 | — | 36 | 4 | no | — |
| 871 | C2×D3 | — | 72 | 2 | no | — |
| 872 | C3×C4 | — | 6 | 2 | no | — |
| 873 | C3×C4 | — | 6 | 1 | no | — |
| 874 | C3×C4 | — | 6 | 1 | no | — |
| 875 | C3×C4 | — | 6 | 2 | no | — |
| 876 | C3×C4 | — | 6 | 2 | no | — |
| 877 | C3×C4 | — | 12 | 2 | no | — |
| 878 | C3×C4 | — | 18 | 2 | no | — |
| 879 | C3×C4 | — | 18 | 2 | no | — |
| 880 | Dic3 | — | 2 | 2 | no | — |
| 881 | Dic3 | — | 2 | 1 | no | — |
| 882 | Dic3 | — | 6 | 2 | no | — |
| 883 | Dic3 | — | 6 | 2 | no | — |
| 884 | Dic3 | — | 6 | 2 | no | — |
| 885 | Dic3 | — | 6 | 2 | no | — |
| 886 | Dic3 | — | 12 | 2 | no | — |
| 887 | Dic3 | — | 12 | 2 | no | — |
| 888 | Dic3 | — | 18 | 2 | no | — |
| 889 | Dic3 | — | 18 | 1 | no | — |
| 890 | Dic3 | — | 18 | 1 | no | — |
| 891 | Dic3 | — | 18 | 1 | no | — |
| 892 | Dic3 | — | 36 | 1 | no | — |
| 893 | Dic3 | — | 36 | 1 | no | — |
| 894 | Dic3 | — | 36 | 2 | no | — |
| 895 | C32 | — | 2 | 1 | no | — |
| 896 | C32 | — | 2 | 1 | no | — |
| 897 | C32 | — | 2 | 1 | no | — |
| 898 | C32 | — | 4 | 1 | no | — |
| 899 | C32 | #5589 | 1 | 1 | yes | characteristic, complemented |
| 900 | C32 | #5653 | 1 | 1 | yes | characteristic, complemented |
| 901 | C32 | #5804 | 1 | 1 | yes | characteristic, complemented |
| 902 | C23 | — | 3 | 1 | no | — |
| 903 | C23 | — | 3 | 2 | no | — |
| 904 | C23 | — | 6 | 2 | no | — |
| 905 | C23 | — | 9 | 1 | no | — |
| 906 | C23 | — | 9 | 1 | no | — |
| 907 | C23 | — | 9 | 4 | no | — |
| 908 | C23 | — | 12 | 2 | no | — |
| 909 | C23 | — | 27 | 1 | no | — |
| 910 | C23 | — | 36 | 2 | no | — |
| 911 | C23 | — | 54 | 2 | no | — |
| 912 | C23 | — | 108 | 2 | no | — |
| 913 | C23 | D33 | 1 | 1 | yes | characteristic |
| 914 | D4 | — | 6 | 2 | no | — |
| 915 | D4 | — | 18 | 4 | no | — |
| 916 | D4 | — | 18 | 4 | no | — |
| 917 | D4 | — | 36 | 2 | no | — |
| 918 | D4 | — | 54 | 2 | no | — |
| 919 | D4 | — | 54 | 2 | no | — |
| 920 | D4 | — | 54 | 2 | no | — |
| 921 | D4 | — | 108 | 2 | no | — |
| 922 | C2×C4 | — | 3 | 1 | no | — |
| 923 | C2×C4 | — | 3 | 2 | no | — |
| 924 | C2×C4 | — | 6 | 2 | no | — |
| 925 | C2×C4 | — | 9 | 2 | no | — |
| 926 | C2×C4 | — | 9 | 2 | no | — |
| 927 | C2×C4 | — | 27 | 1 | no | — |
| 928 | C2×C4 | — | 54 | 2 | no | — |
| 929 | C2×C4 | — | 108 | 2 | no | — |
| 930 | C2×C3 | — | 2 | 2 | no | — |
| 931 | C2×C3 | — | 2 | 2 | no | — |
| 932 | C2×C3 | — | 2 | 2 | no | — |
| 933 | C2×C3 | — | 2 | 2 | no | — |
| 934 | C2×C3 | — | 2 | 2 | no | — |
| 935 | C2×C3 | — | 2 | 2 | no | — |
| 936 | C2×C3 | — | 2 | 1 | no | — |
| 937 | C2×C3 | — | 2 | 1 | no | — |
| 938 | C2×C3 | — | 2 | 1 | no | — |
| 939 | C2×C3 | — | 4 | 2 | no | — |
| 940 | C2×C3 | — | 4 | 2 | no | — |
| 941 | C2×C3 | — | 4 | 2 | no | — |
| 942 | C2×C3 | — | 4 | 2 | no | — |
| 943 | C2×C3 | — | 4 | 1 | no | — |
| 944 | C2×C3 | — | 8 | 2 | no | — |
| 945 | C2×C3 | — | 12 | 2 | no | — |
| 946 | C2×C3 | — | 12 | 4 | no | — |
| 947 | C2×C3 | — | 12 | 2 | no | — |
| 948 | C2×C3 | — | 12 | 1 | no | — |
| 949 | C2×C3 | — | 12 | 1 | no | — |
| 950 | C2×C3 | — | 12 | 2 | no | — |
| 951 | C2×C3 | — | 18 | 2 | no | — |
| 952 | C2×C3 | — | 18 | 2 | no | — |
| 953 | C2×C3 | #64307 | 1 | 2 | yes | — |
| 954 | C2×C3 | #64314 | 1 | 2 | yes | — |
| 955 | C2×C3 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 956 | C2×C3 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 957 | C2×C3 | C2×#3811 | 1 | 1 | yes | characteristic |
| 958 | C2×C3 | #64330 | 1 | 2 | yes | — |
| 959 | D3 | — | 4 | 1 | no | — |
| 960 | D3 | — | 4 | 2 | no | — |
| 961 | D3 | — | 6 | 4 | no | — |
| 962 | D3 | — | 6 | 2 | no | — |
| 963 | D3 | — | 6 | 2 | no | — |
| 964 | D3 | — | 6 | 2 | no | — |
| 965 | D3 | — | 6 | 2 | no | — |
| 966 | D3 | — | 12 | 2 | no | — |
| 967 | D3 | — | 36 | 2 | no | — |
| 968 | D3 | — | 36 | 1 | no | — |
| 969 | D3 | — | 36 | 1 | no | — |
| 970 | D3 | — | 36 | 1 | no | — |
| 971 | D3 | — | 72 | 1 | no | — |
| 972 | D3 | — | 72 | 1 | no | — |
| 973 | D3 | — | 72 | 2 | no | — |
| 974 | C22 | — | 2 | 2 | no | — |
| 975 | C22 | — | 6 | 2 | no | — |
| 976 | C22 | — | 6 | 2 | no | — |
| 977 | C22 | — | 6 | 2 | no | — |
| 978 | C22 | — | 6 | 1 | no | — |
| 979 | C22 | — | 6 | 2 | no | — |
| 980 | C22 | — | 9 | 2 | no | — |
| 981 | C22 | — | 9 | 2 | no | — |
| 982 | C22 | — | 12 | 4 | no | — |
| 983 | C22 | — | 18 | 2 | no | — |
| 984 | C22 | — | 18 | 2 | no | — |
| 985 | C22 | — | 36 | 4 | no | — |
| 986 | C22 | — | 54 | 2 | no | — |
| 987 | C22 | — | 54 | 1 | no | — |
| 988 | C22 | — | 108 | 4 | no | — |
| 989 | C22 | #88952 | 1 | 2 | yes | — |
| 990 | C22 | C2×D33 | 1 | 1 | yes | characteristic |
| 991 | C4 | — | 6 | 2 | no | — |
| 992 | C4 | — | 6 | 1 | no | — |
| 993 | C4 | — | 18 | 2 | no | — |
| 994 | C4 | — | 18 | 2 | no | — |
| 995 | C4 | — | 54 | 1 | no | — |
| 996 | C3 | — | 2 | 1 | no | — |
| 997 | C3 | — | 2 | 1 | no | — |
| 998 | C3 | — | 2 | 1 | no | — |
| 999 | C3 | — | 4 | 1 | no | — |
| 1000 | C3 | #10595062 | 1 | 1 | yes | characteristic, complemented |
| 1001 | C3 | #10595242 | 1 | 1 | yes | characteristic, complemented |
| 1002 | C3 | #10595524 | 1 | 1 | yes | characteristic, complemented |
| 1003 | C2 | — | 2 | 2 | no | — |
| 1004 | C2 | — | 12 | 2 | no | — |
| 1005 | C2 | — | 12 | 1 | no | — |
| 1006 | C2 | — | 18 | 2 | no | — |
| 1007 | C2 | — | 18 | 2 | no | — |
| 1008 | C2 | — | 108 | 1 | no | — |
| 1009 | C2 | #11724418 | 1 | 2 | yes | — |
| 1010 | C2 | C2×#88952 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C2×D33 |
| commutator, socle, cosocle | C22×C33 | C24 |
| Fitting | C23×C33 | C23 |
| hypercenter | C23 | D33 |
| hypocenter | C33 | #534 |
| LCS | G ▷ C22×C33 ▷ C33 | |
| UCS | C1 ◁ C22 ◁ C23 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×C3⋊D3×#67 | C2 | semidirect |
| 2. C22×C3×#626 | C2 | semidirect |
| 3. #11723723 | C2 | semidirect |
| 4. #11723630 | C2 | semidirect |
| 5. #11723612 | C2 | semidirect |
| 6. C3×#63976 | C2 | semidirect |
| 7. C3×#63961 | C2 | semidirect |
| 8. #11722991 | C2 | semidirect |
| 9. #11722966 | C2 | semidirect |
| 10. #11722965 | C2 | semidirect |
| 11. #11722949 | C2 | semidirect |
| 16. C23×C32×D3 | C22 | semidirect |
| 17. C22×D3×C3⋊D3 | C22 | semidirect |
| 20. C22×C32×Dic3 | C22 | semidirect |
| 21. C2×#6294 | C22 | semidirect |
| 23. C2×#6292 | C22 | semidirect |
| 24. C2×#6291 | C22 | semidirect |
| 25. C2×#6290 | C22 | semidirect |
| 26. C2×Dic3×C3⋊D3 | C22 | semidirect |
| 29. C2×C3×#626 | C22 | semidirect |
| 30. C2×C3×#625 | C22 | semidirect |
| 31. C3×#3757 | C22 | semidirect |
| 32. C3×#3757 | C22 | semidirect |
| 33. #88814 | C22 | semidirect |
| 34. #88807 | C22 | semidirect |
| 35. #88804 | C22 | semidirect |
| 36. (C2×D3)⋊(C3⋊Dic3) | C22 | semidirect |
| 37. C3×#3724 | C22 | semidirect |
| 38. C3×(C2×D3)⋊Dic3 | C22 | semidirect |
| 39. C3×(C2×D3)⋊Dic3 | C22 | semidirect |
| 46. C22×#626 | D3 | semidirect |
| 58. #63976 | D3 | semidirect |
| 68. #63961 | D3 | semidirect |
| 79. C22×C3×C3⋊D3 | D4 | semidirect |
| 114. C23×C3×D3 | C2×D3 | semidirect |
| 115. C23×C3×D3 | C2×D3 | semidirect |
| 142. C22×C3×Dic3 | C2×D3 | semidirect |
| 143. C22×C3×Dic3 | C2×D3 | semidirect |
| 158. C2×#626 | C2×D3 | semidirect |
| 162. C2×#625 | C2×D3 | semidirect |
| 170. #3757 | C2×D3 | semidirect |
| 171. #3757 | C2×D3 | semidirect |
| 186. #3724 | C2×D3 | semidirect |
| 199. (C2×D3)⋊Dic3 | C2×D3 | semidirect |
| 200. (C2×D3)⋊Dic3 | C2×D3 | semidirect |
| 280. C22×C3⋊D3 | #67 | semidirect |
| 399. C23×D3 | D32 | semidirect |
| 434. C22×Dic3 | D32 | semidirect |
| 599. C33 | #534 | semidirect |
| 899. C32 | #5589 | semidirect |
| 900. C32 | #5653 | semidirect |
| 901. C32 | #5804 | semidirect |
| 1000. C3 | #10595062 | semidirect |
| 1001. C3 | #10595242 | semidirect |
| 1002. C3 | #10595524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3⋊D3×#67 | 2 |
| C22×C3×#626 | 2 |
| #11723723 | 2 |
| #11723630 | 2 |
| #11723612 | 2 |
| C3×#63976 | 2 |
| C3×#63961 | 2 |
| #11722991 | 2 |
| #11722966 | 2 |
| #11722965 | 2 |
| #11722949 | 2 |
| #10595524 | 3 |
| #10595242 | 3 |
| #10595062 | 3 |