Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1358 conjugacy classes of subgroups.
The subgroup lattice has 1272 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11723725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11723633 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11723632 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11723599 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#63983 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#63978 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#63961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11723027 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11723022 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11722998 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11722996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11722968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11722966 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11722948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11722947 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10595261 | — | 3 | 1 | no | maximal |
| 17 | #10595258 | — | 3 | 1 | no | maximal |
| 18 | #10595090 | — | 3 | 1 | no | maximal |
| 19 | C22×C3×D32 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6312 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C3×#638 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×#638 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C32×#67 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C32×#67 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×C32×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#6295 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#6294 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#6292 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#6292 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#6291 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6291 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#6290 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#6289 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C3×#626 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×#3757 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #88815 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #88814 | C22 | 1 | 1 | yes | characteristic |
| 38 | Dic3⋊(C3⋊Dic3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | Dic3⋊(C3⋊Dic3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #88804 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #88803 | C22 | 1 | 1 | yes | characteristic |
| 42 | (C2×D3)⋊(C3⋊Dic3) | C22 | 1 | 1 | yes | characteristic |
| 43 | Dic3×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×#3724 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×#3724 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C3×Dic3⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#3722 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×#3722 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×(C2×D3)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 54 | #64149 | — | 3 | 1 | no | — |
| 55 | #64147 | — | 3 | 1 | no | — |
| 56 | #64139 | — | 3 | 1 | no | — |
| 57 | C3×#939 | — | 3 | 1 | no | — |
| 58 | C3×#937 | — | 3 | 1 | no | — |
| 59 | C3×#937 | — | 3 | 1 | no | — |
| 60 | C3×#935 | — | 3 | 1 | no | — |
| 61 | C3×#930 | — | 3 | 1 | no | — |
| 62 | C3×#929 | — | 3 | 1 | no | — |
| 63 | #63983 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63979 | — | 3 | 1 | no | — |
| 65 | #63979 | — | 3 | 1 | no | — |
| 66 | #63979 | — | 6 | 1 | no | — |
| 67 | #63978 | — | 3 | 1 | no | — |
| 68 | #63978 | — | 3 | 1 | no | — |
| 69 | #63978 | — | 6 | 1 | no | — |
| 70 | #63978 | D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | #63977 | — | 3 | 1 | no | — |
| 72 | #63977 | — | 3 | 1 | no | — |
| 73 | #63977 | — | 3 | 1 | no | — |
| 74 | #63976 | — | 3 | 1 | no | — |
| 75 | #63975 | — | 3 | 1 | no | — |
| 76 | #63975 | — | 3 | 1 | no | — |
| 77 | #63971 | — | 3 | 1 | no | — |
| 78 | #63971 | — | 3 | 1 | no | — |
| 79 | #63970 | — | 3 | 1 | no | — |
| 80 | #63961 | D3 | 1 | 1 | yes | characteristic, complemented |
| 81 | #63958 | — | 3 | 1 | no | — |
| 82 | #63958 | — | 3 | 1 | no | — |
| 83 | #63958 | — | 3 | 1 | no | — |
| 84 | #63958 | — | 6 | 1 | no | — |
| 85 | #63956 | — | 3 | 1 | no | — |
| 86 | #63923 | — | 3 | 1 | no | — |
| 87 | #63922 | — | 3 | 1 | no | — |
| 88 | #63912 | — | 3 | 1 | no | — |
| 89 | #63910 | — | 3 | 1 | no | — |
| 90 | #63910 | — | 3 | 1 | no | — |
| 91 | #63910 | — | 3 | 1 | no | — |
| 92 | #63891 | — | 3 | 1 | no | — |
| 93 | #63891 | — | 3 | 1 | no | — |
| 94 | #63886 | — | 3 | 1 | no | — |
| 95 | #63862 | — | 3 | 1 | no | — |
| 96 | #63862 | — | 3 | 1 | no | — |
| 97 | #63861 | — | 3 | 1 | no | — |
| 98 | #63861 | — | 3 | 1 | no | — |
| 99 | #63854 | — | 3 | 1 | no | — |
| 100 | #63853 | — | 3 | 1 | no | — |
| 101 | #63848 | — | 3 | 1 | no | — |
| 102 | C23×C33 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 104 | C22×C3×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×C3×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 106 | C22×C32×D3 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C32×D3 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×D32 | — | 4 | 1 | no | — |
| 109 | C2×C3×D32 | — | 4 | 1 | no | — |
| 110 | C2×C3×D32 | — | 4 | 1 | no | — |
| 111 | #6312 | — | 4 | 1 | no | — |
| 112 | C2×C3⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×#638 | — | 4 | 1 | no | — |
| 114 | C3×#638 | — | 4 | 1 | no | — |
| 115 | C2×C3×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×C3×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×C3×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×C3×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 119 | C32×#67 | — | 4 | 1 | no | — |
| 120 | C32×#67 | — | 4 | 1 | no | — |
| 121 | C2×C32×Dic3 | — | 4 | 1 | no | — |
| 122 | C2×C32×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×C32×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×C32×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C32×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 126 | #6295 | — | 4 | 1 | no | — |
| 127 | #6294 | — | 4 | 1 | no | — |
| 128 | #6292 | — | 4 | 1 | no | — |
| 129 | #6292 | — | 4 | 1 | no | — |
| 130 | #6291 | — | 4 | 1 | no | — |
| 131 | #6291 | — | 4 | 1 | no | — |
| 132 | #6290 | — | 4 | 1 | no | — |
| 133 | #6289 | — | 4 | 1 | no | — |
| 134 | C3×#626 | — | 4 | 1 | no | — |
| 135 | #5666 | — | 9 | 1 | no | — |
| 136 | #5620 | — | 9 | 1 | no | — |
| 137 | #5595 | — | 9 | 1 | no | — |
| 138 | C23×C3×D3 | — | 3 | 1 | no | — |
| 139 | C23×C3×D3 | — | 3 | 1 | no | — |
| 140 | C22×D32 | C2×D3 | 1 | 1 | yes | characteristic |
| 141 | C2×C32×D4 | — | 3 | 1 | no | — |
| 142 | C2×C32×D4 | — | 3 | 1 | no | — |
| 143 | C22×C32×C4 | — | 3 | 1 | no | — |
| 144 | C2×#638 | — | 3 | 1 | no | — |
| 145 | C2×#638 | — | 3 | 1 | no | — |
| 146 | C2×#638 | — | 3 | 1 | no | — |
| 147 | C2×#638 | — | 3 | 1 | no | — |
| 148 | C2×#638 | — | 3 | 1 | no | — |
| 149 | C2×#638 | — | 3 | 1 | no | — |
| 150 | C2×#638 | — | 6 | 1 | no | — |
| 151 | C2×#638 | — | 6 | 1 | no | — |
| 152 | C2×#638 | — | 6 | 1 | no | — |
| 153 | C2×#638 | — | 12 | 1 | no | — |
| 154 | C2×#638 | C2×D3 | 1 | 1 | yes | characteristic |
| 155 | C2×#638 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 156 | C2×C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 157 | C2×C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 158 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 159 | C2×C3×#67 | — | 2 | 1 | no | — |
| 160 | C2×C3×#67 | — | 2 | 1 | no | — |
| 161 | C2×C3×#67 | — | 3 | 1 | no | — |
| 162 | C2×C3×#67 | — | 3 | 1 | no | — |
| 163 | C2×C3×#67 | — | 3 | 1 | no | — |
| 164 | C2×C3×#67 | — | 3 | 1 | no | — |
| 165 | C2×C3×#67 | — | 3 | 1 | no | — |
| 166 | C2×C3×#67 | — | 6 | 1 | no | — |
| 167 | C2×C3×#67 | — | 6 | 1 | no | — |
| 168 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 169 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 170 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 171 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 173 | C22×C3×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 174 | C22×C3×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 175 | C2×C3×D12 | — | 3 | 1 | no | — |
| 176 | C2×#626 | — | 3 | 1 | no | — |
| 177 | C2×#626 | — | 3 | 1 | no | — |
| 178 | C2×#626 | — | 3 | 1 | no | — |
| 179 | C2×#626 | — | 3 | 1 | no | — |
| 180 | C2×#626 | — | 3 | 1 | no | — |
| 181 | C2×#626 | — | 3 | 1 | no | — |
| 182 | C2×#626 | — | 3 | 1 | no | — |
| 183 | C2×#626 | — | 3 | 1 | no | — |
| 184 | C2×#626 | — | 3 | 1 | no | — |
| 185 | C2×#626 | — | 3 | 1 | no | — |
| 186 | C2×#626 | — | 6 | 1 | no | — |
| 187 | C2×#626 | — | 6 | 1 | no | — |
| 188 | C2×#626 | — | 6 | 1 | no | — |
| 189 | C2×#626 | — | 6 | 1 | no | — |
| 190 | C2×#626 | C2×D3 | 1 | 1 | yes | characteristic |
| 191 | C2×#625 | — | 3 | 1 | no | — |
| 192 | C2×#625 | — | 3 | 1 | no | — |
| 193 | C2×#625 | — | 3 | 1 | no | — |
| 194 | C2×#625 | — | 6 | 1 | no | — |
| 195 | C2×#624 | — | 3 | 1 | no | — |
| 196 | C2×#624 | — | 3 | 1 | no | — |
| 197 | C2×#624 | — | 3 | 1 | no | — |
| 198 | C2×#624 | — | 6 | 1 | no | — |
| 199 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 200 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 201 | #3757 | — | 3 | 1 | no | — |
| 202 | #3757 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 203 | #3752 | — | 3 | 1 | no | — |
| 204 | #3752 | — | 3 | 1 | no | — |
| 205 | C4⋊(C3⋊Dic3) | — | 3 | 1 | no | — |
| 206 | C4⋊(C3⋊Dic3) | — | 3 | 1 | no | — |
| 207 | C4×C3⋊Dic3 | — | 3 | 1 | no | — |
| 208 | C3×#217 | — | 3 | 1 | no | — |
| 209 | C3×#217 | — | 3 | 1 | no | — |
| 210 | C3×#217 | — | 3 | 1 | no | — |
| 211 | C3×#217 | — | 3 | 1 | no | — |
| 212 | C3×#217 | — | 3 | 1 | no | — |
| 213 | C3×#217 | — | 3 | 1 | no | — |
| 214 | C3×#217 | — | 3 | 1 | no | — |
| 215 | C3×#217 | — | 6 | 1 | no | — |
| 216 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 217 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 218 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 219 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 220 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 221 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 222 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 223 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 224 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 225 | C3×C4⋊Dic3 | — | 3 | 1 | no | — |
| 226 | C3×Dic3⋊C4 | — | 3 | 1 | no | — |
| 227 | C3×Dic3⋊C4 | — | 3 | 1 | no | — |
| 228 | C3×Dic3⋊C4 | — | 3 | 1 | no | — |
| 229 | C3×Dic3⋊C4 | — | 3 | 1 | no | — |
| 230 | C3×Dic3⋊C4 | — | 3 | 1 | no | — |
| 231 | #3724 | — | 3 | 1 | no | — |
| 232 | #3724 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 233 | #3724 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 234 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 235 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 236 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 237 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 238 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 239 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 240 | Dic3⋊Dic3 | — | 6 | 1 | no | — |
| 241 | Dic3⋊Dic3 | — | 6 | 1 | no | — |
| 242 | Dic3⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 243 | #3722 | — | 3 | 1 | no | — |
| 244 | #3722 | — | 3 | 1 | no | — |
| 245 | #3722 | — | 3 | 1 | no | — |
| 246 | #3722 | — | 6 | 1 | no | — |
| 247 | #3722 | C2×D3 | 1 | 1 | yes | characteristic |
| 248 | #3722 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 249 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 250 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 251 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 252 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 253 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 254 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 255 | (C2×D3)⋊Dic3 | — | 6 | 1 | no | — |
| 256 | (C2×D3)⋊Dic3 | — | 6 | 1 | no | — |
| 257 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 258 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 259 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 260 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 261 | (C2×D3)⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 262 | Dic32 | — | 3 | 1 | no | — |
| 263 | Dic32 | — | 3 | 1 | no | — |
| 264 | Dic32 | — | 6 | 1 | no | — |
| 265 | C22×C33 | — | 2 | 1 | no | — |
| 266 | C22×C33 | — | 2 | 1 | no | — |
| 267 | C22×C33 | — | 2 | 1 | no | — |
| 268 | C22×C33 | C24 | 1 | 1 | yes | characteristic |
| 269 | C2×C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 270 | C2×C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 271 | C2×C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 272 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 273 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 274 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 275 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 276 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 277 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 278 | C2×C32×D3 | — | 2 | 1 | no | — |
| 279 | C2×C32×D3 | — | 2 | 1 | no | — |
| 280 | C2×C32×D3 | — | 2 | 1 | no | — |
| 281 | C2×C32×D3 | — | 2 | 1 | no | — |
| 282 | C2×C32×D3 | — | 2 | 1 | no | — |
| 283 | C2×C32×D3 | — | 2 | 1 | no | — |
| 284 | C3×D32 | — | 4 | 4 | no | — |
| 285 | C3⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 286 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 287 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 288 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 289 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 290 | C32×Dic3 | — | 2 | 1 | no | — |
| 291 | C32×Dic3 | — | 2 | 1 | no | — |
| 292 | C32×Dic3 | — | 2 | 1 | no | — |
| 293 | C32×Dic3 | — | 2 | 1 | no | — |
| 294 | C3×#123 | — | 9 | 1 | no | — |
| 295 | C3×#121 | — | 9 | 1 | no | — |
| 296 | C3×#120 | — | 9 | 1 | no | — |
| 297 | #953 | — | 9 | 1 | no | — |
| 298 | #953 | — | 9 | 1 | no | — |
| 299 | #940 | — | 9 | 1 | no | — |
| 300 | #940 | — | 9 | 1 | no | — |
| 301 | #940 | — | 9 | 1 | no | — |
| 302 | #940 | — | 18 | 1 | no | — |
| 303 | #939 | — | 3 | 1 | no | — |
| 304 | #939 | — | 9 | 1 | no | — |
| 305 | #939 | — | 9 | 1 | no | — |
| 306 | #939 | — | 9 | 1 | no | — |
| 307 | #938 | — | 9 | 1 | no | — |
| 308 | #938 | — | 9 | 1 | no | — |
| 309 | #938 | — | 9 | 1 | no | — |
| 310 | #938 | — | 18 | 1 | no | — |
| 311 | #937 | — | 3 | 1 | no | — |
| 312 | #937 | — | 3 | 1 | no | — |
| 313 | #937 | — | 9 | 1 | no | — |
| 314 | #935 | — | 3 | 1 | no | — |
| 315 | #930 | — | 3 | 1 | no | — |
| 316 | #930 | — | 9 | 1 | no | — |
| 317 | #930 | — | 9 | 1 | no | — |
| 318 | #930 | — | 18 | 1 | no | — |
| 319 | #929 | — | 3 | 1 | no | — |
| 320 | #898 | — | 9 | 1 | no | — |
| 321 | #898 | — | 9 | 1 | no | — |
| 322 | #898 | — | 9 | 1 | no | — |
| 323 | #895 | — | 9 | 1 | no | — |
| 324 | #895 | — | 9 | 1 | no | — |
| 325 | #894 | — | 9 | 1 | no | — |
| 326 | #886 | — | 9 | 1 | no | — |
| 327 | #884 | — | 9 | 1 | no | — |
| 328 | #884 | — | 9 | 1 | no | — |
| 329 | #884 | — | 9 | 1 | no | — |
| 330 | #884 | — | 9 | 1 | no | — |
| 331 | #884 | — | 9 | 1 | no | — |
| 332 | #883 | — | 9 | 1 | no | — |
| 333 | #883 | — | 9 | 1 | no | — |
| 334 | #883 | — | 9 | 1 | no | — |
| 335 | #883 | — | 9 | 1 | no | — |
| 336 | #882 | — | 9 | 1 | no | — |
| 337 | #882 | — | 9 | 1 | no | — |
| 338 | #882 | — | 9 | 1 | no | — |
| 339 | #879 | — | 9 | 1 | no | — |
| 340 | #879 | — | 9 | 1 | no | — |
| 341 | #879 | — | 9 | 1 | no | — |
| 342 | C23×C32 | — | 2 | 1 | no | — |
| 343 | C23×C32 | — | 2 | 1 | no | — |
| 344 | C23×C32 | — | 2 | 1 | no | — |
| 345 | C23×C32 | — | 3 | 1 | no | — |
| 346 | C23×C32 | — | 3 | 1 | no | — |
| 347 | C23×C32 | — | 4 | 1 | no | — |
| 348 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 349 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 352 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 353 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 354 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 355 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 356 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 357 | C22×C3⋊D3 | — | 12 | 1 | no | — |
| 358 | C22×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 359 | C22×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 360 | C22×C3×D3 | — | 2 | 1 | no | — |
| 361 | C22×C3×D3 | — | 2 | 1 | no | — |
| 362 | C22×C3×D3 | — | 3 | 1 | no | — |
| 363 | C22×C3×D3 | — | 3 | 1 | no | — |
| 364 | C22×C3×D3 | — | 3 | 1 | no | — |
| 365 | C22×C3×D3 | — | 3 | 1 | no | — |
| 366 | C22×C3×D3 | — | 6 | 1 | no | — |
| 367 | C22×C3×D3 | — | 6 | 1 | no | — |
| 368 | C22×C3×D3 | — | 12 | 1 | no | — |
| 369 | C22×C3×D3 | — | 12 | 1 | no | — |
| 370 | C22×C3×D3 | — | 12 | 1 | no | — |
| 371 | C22×C3×D3 | — | 12 | 1 | no | — |
| 372 | C22×C3×D3 | — | 12 | 1 | no | — |
| 373 | C22×C3×D3 | — | 12 | 1 | no | — |
| 374 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 375 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 376 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 377 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 378 | C2×D32 | — | 4 | 1 | no | — |
| 379 | C2×D32 | — | 4 | 1 | no | — |
| 380 | C2×D32 | — | 4 | 1 | no | — |
| 381 | C32×D4 | — | 12 | 1 | no | — |
| 382 | C32×D4 | — | 12 | 1 | no | — |
| 383 | C2×C32×C4 | — | 3 | 1 | no | — |
| 384 | C2×C32×C4 | — | 3 | 1 | no | — |
| 385 | C2×C32×C4 | — | 3 | 1 | no | — |
| 386 | C2×C32×C4 | — | 3 | 1 | no | — |
| 387 | C2×C32×C4 | — | 12 | 1 | no | — |
| 388 | #638 | — | 4 | 1 | no | — |
| 389 | #638 | — | 4 | 1 | no | — |
| 390 | #638 | — | 12 | 1 | no | — |
| 391 | #638 | — | 12 | 1 | no | — |
| 392 | #638 | — | 12 | 1 | no | — |
| 393 | #638 | — | 12 | 1 | no | — |
| 394 | #638 | — | 12 | 1 | no | — |
| 395 | #638 | — | 12 | 1 | no | — |
| 396 | #638 | — | 12 | 2 | no | — |
| 397 | #638 | — | 12 | 2 | no | — |
| 398 | #638 | — | 12 | 2 | no | — |
| 399 | #638 | — | 12 | 4 | no | — |
| 400 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 401 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 402 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 403 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 404 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 405 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 406 | C2×C3⋊Dic3 | — | 12 | 1 | no | — |
| 407 | C2×C3⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 408 | C2×C3⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 409 | C2×C3⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 410 | C2×C3⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 411 | C4⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 412 | C4⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 413 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 414 | C3×#67 | — | 4 | 1 | no | — |
| 415 | C3×#67 | — | 4 | 1 | no | — |
| 416 | C3×#67 | — | 4 | 1 | no | — |
| 417 | C3×#67 | — | 4 | 1 | no | — |
| 418 | C3×#67 | — | 4 | 2 | no | — |
| 419 | C3×#67 | — | 4 | 2 | no | — |
| 420 | C3×#67 | — | 12 | 1 | no | — |
| 421 | C3×#67 | — | 12 | 1 | no | — |
| 422 | C3×#67 | — | 12 | 1 | no | — |
| 423 | C3×#67 | — | 12 | 1 | no | — |
| 424 | C3×#67 | — | 12 | 1 | no | — |
| 425 | C3×#67 | — | 12 | 2 | no | — |
| 426 | C3×#67 | — | 12 | 2 | no | — |
| 427 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 428 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 429 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 430 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 431 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 432 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 433 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 434 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 435 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 436 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 437 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 438 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 439 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 440 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 441 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 442 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 443 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 444 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 445 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 446 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 447 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 448 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 449 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 450 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 452 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 453 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 454 | C3×D12 | — | 12 | 1 | no | — |
| 455 | #626 | — | 4 | 1 | no | — |
| 456 | #626 | — | 12 | 1 | no | — |
| 457 | #626 | — | 12 | 1 | no | — |
| 458 | #626 | — | 12 | 1 | no | — |
| 459 | #626 | — | 12 | 1 | no | — |
| 460 | #626 | — | 12 | 2 | no | — |
| 461 | #626 | — | 12 | 2 | no | — |
| 462 | #626 | — | 12 | 1 | no | — |
| 463 | #626 | — | 12 | 1 | no | — |
| 464 | #626 | — | 12 | 1 | no | — |
| 465 | #626 | — | 12 | 1 | no | — |
| 466 | #626 | — | 12 | 2 | no | — |
| 467 | #626 | — | 12 | 1 | no | — |
| 468 | #626 | — | 12 | 1 | no | — |
| 469 | #626 | — | 12 | 2 | no | — |
| 470 | #625 | — | 12 | 1 | no | — |
| 471 | #625 | — | 12 | 1 | no | — |
| 472 | #625 | — | 12 | 1 | no | — |
| 473 | #625 | — | 12 | 2 | no | — |
| 474 | #624 | — | 12 | 1 | no | — |
| 475 | #624 | — | 12 | 1 | no | — |
| 476 | #624 | — | 12 | 2 | no | — |
| 477 | #624 | — | 12 | 1 | no | — |
| 478 | D3×Dic3 | — | 12 | 1 | no | — |
| 479 | D3×Dic3 | — | 12 | 1 | no | — |
| 480 | #560 | — | 27 | 1 | no | Sylow |
| 481 | C2×C33 | — | 4 | 1 | no | — |
| 482 | C2×C33 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 483 | C2×C33 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 484 | C2×C33 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 485 | C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 486 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 487 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 488 | C32×D3 | — | 4 | 1 | no | — |
| 489 | C32×D3 | — | 4 | 1 | no | — |
| 490 | C24×C3 | — | 9 | 1 | no | — |
| 491 | C23×D3 | — | 3 | 1 | no | — |
| 492 | C23×D3 | — | 3 | 1 | no | — |
| 493 | C2×C3×D4 | — | 3 | 1 | no | — |
| 494 | C2×C3×D4 | — | 3 | 1 | no | — |
| 495 | C2×C3×D4 | — | 3 | 1 | no | — |
| 496 | C2×C3×D4 | — | 3 | 1 | no | — |
| 497 | C2×C3×D4 | — | 6 | 1 | no | — |
| 498 | C2×C3×D4 | — | 6 | 1 | no | — |
| 499 | C2×C3×D4 | — | 9 | 1 | no | — |
| 500 | C2×C3×D4 | — | 9 | 1 | no | — |
| 501 | C2×C3×D4 | — | 9 | 1 | no | — |
| 502 | C22×C3×C4 | — | 3 | 1 | no | — |
| 503 | C22×C3×C4 | — | 3 | 1 | no | — |
| 504 | C22×C3×C4 | — | 6 | 1 | no | — |
| 505 | C2×#67 | — | 3 | 1 | no | — |
| 506 | C2×#67 | — | 3 | 1 | no | — |
| 507 | C2×#67 | — | 3 | 1 | no | — |
| 508 | C2×#67 | — | 3 | 1 | no | — |
| 509 | C2×#67 | — | 3 | 1 | no | — |
| 510 | C2×#67 | — | 6 | 1 | no | — |
| 511 | C2×#67 | — | 6 | 1 | no | — |
| 512 | C2×#67 | — | 9 | 1 | no | — |
| 513 | C2×#67 | — | 9 | 1 | no | — |
| 514 | C2×#67 | — | 9 | 1 | no | — |
| 515 | C2×#67 | — | 9 | 1 | no | — |
| 516 | C2×#67 | — | 9 | 1 | no | — |
| 517 | C2×#67 | — | 9 | 1 | no | — |
| 518 | C2×#67 | — | 9 | 1 | no | — |
| 519 | C2×#67 | — | 9 | 1 | no | — |
| 520 | C2×#67 | — | 9 | 1 | no | — |
| 521 | C2×#67 | — | 9 | 1 | no | — |
| 522 | C2×#67 | — | 9 | 1 | no | — |
| 523 | C2×#67 | — | 9 | 1 | no | — |
| 524 | C2×#67 | — | 9 | 1 | no | — |
| 525 | C2×#67 | — | 9 | 1 | no | — |
| 526 | C2×#67 | — | 18 | 1 | no | — |
| 527 | C2×#67 | — | 18 | 1 | no | — |
| 528 | C2×#67 | — | 18 | 1 | no | — |
| 529 | C2×#67 | — | 18 | 1 | no | — |
| 530 | C2×#67 | — | 18 | 1 | no | — |
| 531 | C2×#67 | — | 18 | 1 | no | — |
| 532 | C2×#67 | — | 36 | 1 | no | — |
| 533 | C2×#67 | D32 | 1 | 1 | yes | characteristic |
| 534 | C2×#67 | D32 | 1 | 1 | yes | characteristic |
| 535 | C22×Dic3 | — | 9 | 1 | no | — |
| 536 | C22×Dic3 | D32 | 1 | 1 | yes | characteristic, complemented |
| 537 | C2×D12 | — | 3 | 1 | no | — |
| 538 | C2×D12 | — | 9 | 1 | no | — |
| 539 | C2×D12 | — | 9 | 1 | no | — |
| 540 | C2×D12 | — | 9 | 1 | no | — |
| 541 | C2×D12 | — | 9 | 1 | no | — |
| 542 | C2×D12 | — | 9 | 1 | no | — |
| 543 | C2×D12 | — | 9 | 1 | no | — |
| 544 | C2×D12 | — | 9 | 1 | no | — |
| 545 | C2×D12 | — | 18 | 1 | no | — |
| 546 | C2×D12 | — | 18 | 1 | no | — |
| 547 | C2×C4×D3 | — | 9 | 1 | no | — |
| 548 | C2×C4×D3 | — | 9 | 1 | no | — |
| 549 | C2×C4×D3 | — | 9 | 1 | no | — |
| 550 | C2×C4×D3 | — | 9 | 1 | no | — |
| 551 | C2×C4×D3 | — | 9 | 1 | no | — |
| 552 | C2×C4×D3 | — | 18 | 1 | no | — |
| 553 | C3×C4⋊C4 | — | 9 | 1 | no | — |
| 554 | C3×C4⋊C4 | — | 9 | 1 | no | — |
| 555 | C3×C4⋊C4 | — | 9 | 1 | no | — |
| 556 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 557 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 558 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 559 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 560 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 561 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 562 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 563 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 564 | #217 | — | 3 | 1 | no | — |
| 565 | #217 | — | 3 | 1 | no | — |
| 566 | #217 | — | 3 | 1 | no | — |
| 567 | #217 | — | 3 | 1 | no | — |
| 568 | #217 | — | 3 | 1 | no | — |
| 569 | #217 | — | 3 | 1 | no | — |
| 570 | #217 | — | 3 | 1 | no | — |
| 571 | #217 | — | 6 | 1 | no | — |
| 572 | #217 | — | 9 | 1 | no | — |
| 573 | #217 | — | 9 | 1 | no | — |
| 574 | #217 | — | 9 | 1 | no | — |
| 575 | #217 | — | 9 | 1 | no | — |
| 576 | #217 | — | 18 | 1 | no | — |
| 577 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 578 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 579 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 580 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 581 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 582 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 583 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 584 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 585 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 586 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 587 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 588 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 589 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 590 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 591 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 592 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 593 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 594 | (C2×D3)⋊C4 | — | 18 | 1 | no | — |
| 595 | (C2×D3)⋊C4 | — | 18 | 1 | no | — |
| 596 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 597 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 598 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 599 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 600 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 601 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 602 | C4⋊Dic3 | — | 18 | 1 | no | — |
| 603 | C4⋊Dic3 | — | 18 | 1 | no | — |
| 604 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 605 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 606 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 607 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 608 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 609 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 610 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 611 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 612 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 613 | C4×Dic3 | — | 9 | 1 | no | — |
| 614 | C4×Dic3 | — | 9 | 1 | no | — |
| 615 | C4×Dic3 | — | 9 | 1 | no | — |
| 616 | C4×Dic3 | — | 18 | 1 | no | — |
| 617 | C22×C32 | — | 2 | 1 | no | — |
| 618 | C22×C32 | — | 2 | 2 | no | — |
| 619 | C22×C32 | — | 2 | 1 | no | — |
| 620 | C22×C32 | — | 2 | 1 | no | — |
| 621 | C22×C32 | — | 2 | 1 | no | — |
| 622 | C22×C32 | — | 2 | 1 | no | — |
| 623 | C22×C32 | — | 2 | 1 | no | — |
| 624 | C22×C32 | — | 2 | 1 | no | — |
| 625 | C22×C32 | — | 2 | 1 | no | — |
| 626 | C22×C32 | — | 2 | 1 | no | — |
| 627 | C22×C32 | — | 2 | 1 | no | — |
| 628 | C22×C32 | — | 2 | 1 | no | — |
| 629 | C22×C32 | — | 2 | 1 | no | — |
| 630 | C22×C32 | — | 4 | 1 | no | — |
| 631 | C22×C32 | — | 4 | 1 | no | — |
| 632 | C22×C32 | — | 4 | 1 | no | — |
| 633 | C22×C32 | — | 4 | 2 | no | — |
| 634 | C22×C32 | — | 4 | 1 | no | — |
| 635 | C22×C32 | — | 4 | 1 | no | — |
| 636 | C22×C32 | — | 4 | 1 | no | — |
| 637 | C22×C32 | — | 4 | 1 | no | — |
| 638 | C22×C32 | — | 4 | 1 | no | — |
| 639 | C22×C32 | — | 4 | 1 | no | — |
| 640 | C22×C32 | — | 6 | 1 | no | — |
| 641 | C22×C32 | — | 6 | 1 | no | — |
| 642 | C22×C32 | — | 6 | 1 | no | — |
| 643 | C22×C32 | — | 6 | 1 | no | — |
| 644 | C22×C32 | — | 6 | 1 | no | — |
| 645 | C22×C32 | — | 6 | 1 | no | — |
| 646 | C22×C32 | — | 8 | 1 | no | — |
| 647 | C22×C32 | — | 8 | 1 | no | — |
| 648 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 649 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 650 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 651 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 652 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 653 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 654 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 655 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 656 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 657 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 658 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 659 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 660 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 661 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 662 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 663 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 664 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 665 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 666 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 667 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 668 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 669 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 670 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 671 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 672 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 673 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 674 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 675 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 676 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 677 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 678 | C2×C3×D3 | — | 2 | 1 | no | — |
| 679 | C2×C3×D3 | — | 2 | 1 | no | — |
| 680 | C2×C3×D3 | — | 2 | 1 | no | — |
| 681 | C2×C3×D3 | — | 2 | 1 | no | — |
| 682 | C2×C3×D3 | — | 2 | 1 | no | — |
| 683 | C2×C3×D3 | — | 2 | 1 | no | — |
| 684 | C2×C3×D3 | — | 2 | 1 | no | — |
| 685 | C2×C3×D3 | — | 2 | 1 | no | — |
| 686 | C2×C3×D3 | — | 2 | 1 | no | — |
| 687 | C2×C3×D3 | — | 2 | 1 | no | — |
| 688 | C2×C3×D3 | — | 2 | 1 | no | — |
| 689 | C2×C3×D3 | — | 2 | 1 | no | — |
| 690 | C2×C3×D3 | — | 4 | 1 | no | — |
| 691 | C2×C3×D3 | — | 4 | 1 | no | — |
| 692 | C2×C3×D3 | — | 4 | 1 | no | — |
| 693 | C2×C3×D3 | — | 4 | 1 | no | — |
| 694 | C2×C3×D3 | — | 4 | 1 | no | — |
| 695 | C2×C3×D3 | — | 4 | 1 | no | — |
| 696 | C2×C3×D3 | — | 6 | 1 | no | — |
| 697 | C2×C3×D3 | — | 6 | 1 | no | — |
| 698 | C2×C3×D3 | — | 6 | 1 | no | — |
| 699 | C2×C3×D3 | — | 6 | 1 | no | — |
| 700 | C2×C3×D3 | — | 6 | 1 | no | — |
| 701 | C2×C3×D3 | — | 6 | 1 | no | — |
| 702 | C2×C3×D3 | — | 6 | 1 | no | — |
| 703 | C2×C3×D3 | — | 6 | 1 | no | — |
| 704 | C2×C3×D3 | — | 6 | 1 | no | — |
| 705 | C2×C3×D3 | — | 6 | 1 | no | — |
| 706 | C2×C3×D3 | — | 6 | 1 | no | — |
| 707 | C2×C3×D3 | — | 6 | 1 | no | — |
| 708 | C2×C3×D3 | — | 12 | 1 | no | — |
| 709 | C2×C3×D3 | — | 12 | 1 | no | — |
| 710 | C2×C3×D3 | — | 12 | 1 | no | — |
| 711 | C2×C3×D3 | — | 12 | 1 | no | — |
| 712 | C2×C3×D3 | — | 12 | 1 | no | — |
| 713 | C2×C3×D3 | — | 12 | 1 | no | — |
| 714 | C2×C3×D3 | — | 12 | 4 | no | — |
| 715 | C2×C3×D3 | — | 12 | 4 | no | — |
| 716 | D32 | — | 4 | 4 | no | — |
| 717 | C32×C4 | — | 6 | 1 | no | — |
| 718 | C32×C4 | — | 6 | 1 | no | — |
| 719 | C32×C4 | — | 6 | 1 | no | — |
| 720 | C32×C4 | — | 6 | 1 | no | — |
| 721 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 722 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 723 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 724 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 725 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 726 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 727 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 728 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 729 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 730 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 731 | C3⋊Dic3 | — | 12 | 2 | no | — |
| 732 | C3×Dic3 | — | 2 | 2 | no | — |
| 733 | C3×Dic3 | — | 2 | 2 | no | — |
| 734 | C3×Dic3 | — | 2 | 2 | no | — |
| 735 | C3×Dic3 | — | 2 | 1 | no | — |
| 736 | C3×Dic3 | — | 2 | 1 | no | — |
| 737 | C3×Dic3 | — | 2 | 1 | no | — |
| 738 | C3×Dic3 | — | 2 | 1 | no | — |
| 739 | C3×Dic3 | — | 2 | 1 | no | — |
| 740 | C3×Dic3 | — | 2 | 1 | no | — |
| 741 | C3×Dic3 | — | 2 | 1 | no | — |
| 742 | C3×Dic3 | — | 2 | 1 | no | — |
| 743 | C3×Dic3 | — | 4 | 1 | no | — |
| 744 | C3×Dic3 | — | 6 | 2 | no | — |
| 745 | C3×Dic3 | — | 6 | 1 | no | — |
| 746 | C3×Dic3 | — | 6 | 1 | no | — |
| 747 | C3×Dic3 | — | 6 | 1 | no | — |
| 748 | C3×Dic3 | — | 6 | 1 | no | — |
| 749 | C3×Dic3 | — | 6 | 1 | no | — |
| 750 | C3×Dic3 | — | 6 | 1 | no | — |
| 751 | C3×Dic3 | — | 6 | 1 | no | — |
| 752 | C3×Dic3 | — | 6 | 1 | no | — |
| 753 | C3×Dic3 | — | 12 | 1 | no | — |
| 754 | C3×Dic3 | — | 12 | 1 | no | — |
| 755 | C3×Dic3 | — | 12 | 1 | no | — |
| 756 | #127 | — | 27 | 1 | no | — |
| 757 | #126 | — | 27 | 1 | no | — |
| 758 | #126 | — | 27 | 1 | no | — |
| 759 | #123 | — | 9 | 1 | no | — |
| 760 | #123 | — | 27 | 1 | no | — |
| 761 | #123 | — | 27 | 1 | no | — |
| 762 | #121 | — | 9 | 1 | no | — |
| 763 | #121 | — | 27 | 1 | no | — |
| 764 | #121 | — | 27 | 1 | no | — |
| 765 | #121 | — | 27 | 1 | no | — |
| 766 | #121 | — | 27 | 1 | no | — |
| 767 | #121 | — | 27 | 1 | no | — |
| 768 | #120 | — | 9 | 1 | no | — |
| 769 | #120 | — | 27 | 1 | no | — |
| 770 | #120 | — | 27 | 1 | no | — |
| 771 | C33 | #560 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 772 | C23×C3 | — | 2 | 1 | no | — |
| 773 | C23×C3 | — | 2 | 1 | no | — |
| 774 | C23×C3 | — | 2 | 1 | no | — |
| 775 | C23×C3 | — | 3 | 1 | no | — |
| 776 | C23×C3 | — | 3 | 1 | no | — |
| 777 | C23×C3 | — | 3 | 1 | no | — |
| 778 | C23×C3 | — | 3 | 1 | no | — |
| 779 | C23×C3 | — | 4 | 1 | no | — |
| 780 | C23×C3 | — | 6 | 1 | no | — |
| 781 | C23×C3 | — | 6 | 1 | no | — |
| 782 | C23×C3 | — | 9 | 1 | no | — |
| 783 | C23×C3 | — | 9 | 1 | no | — |
| 784 | C23×C3 | — | 36 | 1 | no | — |
| 785 | C23×C3 | — | 36 | 1 | no | — |
| 786 | C23×C3 | — | 36 | 1 | no | — |
| 787 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 788 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 789 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 790 | C22×D3 | — | 3 | 1 | no | — |
| 791 | C22×D3 | — | 3 | 1 | no | — |
| 792 | C22×D3 | — | 3 | 1 | no | — |
| 793 | C22×D3 | — | 3 | 1 | no | — |
| 794 | C22×D3 | — | 6 | 1 | no | — |
| 795 | C22×D3 | — | 6 | 1 | no | — |
| 796 | C22×D3 | — | 9 | 1 | no | — |
| 797 | C22×D3 | — | 9 | 1 | no | — |
| 798 | C22×D3 | — | 9 | 1 | no | — |
| 799 | C22×D3 | — | 12 | 1 | no | — |
| 800 | C22×D3 | — | 12 | 1 | no | — |
| 801 | C22×D3 | — | 12 | 1 | no | — |
| 802 | C22×D3 | — | 12 | 1 | no | — |
| 803 | C22×D3 | — | 12 | 1 | no | — |
| 804 | C22×D3 | — | 12 | 1 | no | — |
| 805 | C22×D3 | — | 18 | 1 | no | — |
| 806 | C22×D3 | — | 18 | 1 | no | — |
| 807 | C22×D3 | — | 18 | 1 | no | — |
| 808 | C22×D3 | — | 36 | 1 | no | — |
| 809 | C22×D3 | C2×D32 | 1 | 1 | yes | characteristic |
| 810 | C22×D3 | C2×D32 | 1 | 1 | yes | characteristic |
| 811 | C3×D4 | — | 12 | 1 | no | — |
| 812 | C3×D4 | — | 12 | 1 | no | — |
| 813 | C3×D4 | — | 12 | 1 | no | — |
| 814 | C3×D4 | — | 12 | 1 | no | — |
| 815 | C3×D4 | — | 12 | 2 | no | — |
| 816 | C3×D4 | — | 12 | 2 | no | — |
| 817 | C3×D4 | — | 36 | 1 | no | — |
| 818 | C3×D4 | — | 36 | 1 | no | — |
| 819 | C3×D4 | — | 36 | 1 | no | — |
| 820 | C2×C3×C4 | — | 3 | 1 | no | — |
| 821 | C2×C3×C4 | — | 3 | 1 | no | — |
| 822 | C2×C3×C4 | — | 3 | 1 | no | — |
| 823 | C2×C3×C4 | — | 3 | 1 | no | — |
| 824 | C2×C3×C4 | — | 3 | 1 | no | — |
| 825 | C2×C3×C4 | — | 3 | 1 | no | — |
| 826 | C2×C3×C4 | — | 3 | 1 | no | — |
| 827 | C2×C3×C4 | — | 3 | 1 | no | — |
| 828 | C2×C3×C4 | — | 6 | 1 | no | — |
| 829 | C2×C3×C4 | — | 6 | 1 | no | — |
| 830 | C2×C3×C4 | — | 6 | 1 | no | — |
| 831 | C2×C3×C4 | — | 6 | 1 | no | — |
| 832 | C2×C3×C4 | — | 9 | 1 | no | — |
| 833 | C2×C3×C4 | — | 9 | 1 | no | — |
| 834 | C2×C3×C4 | — | 9 | 1 | no | — |
| 835 | C2×C3×C4 | — | 9 | 1 | no | — |
| 836 | C2×C3×C4 | — | 12 | 1 | no | — |
| 837 | C2×C3×C4 | — | 12 | 1 | no | — |
| 838 | C2×C3×C4 | — | 12 | 2 | no | — |
| 839 | #67 | — | 4 | 1 | no | — |
| 840 | #67 | — | 4 | 1 | no | — |
| 841 | #67 | — | 12 | 1 | no | — |
| 842 | #67 | — | 12 | 1 | no | — |
| 843 | #67 | — | 12 | 1 | no | — |
| 844 | #67 | — | 12 | 1 | no | — |
| 845 | #67 | — | 12 | 1 | no | — |
| 846 | #67 | — | 12 | 2 | no | — |
| 847 | #67 | — | 12 | 2 | no | — |
| 848 | #67 | — | 36 | 1 | no | — |
| 849 | #67 | — | 36 | 1 | no | — |
| 850 | #67 | — | 36 | 1 | no | — |
| 851 | #67 | — | 36 | 1 | no | — |
| 852 | #67 | — | 36 | 1 | no | — |
| 853 | #67 | — | 36 | 1 | no | — |
| 854 | #67 | — | 36 | 1 | no | — |
| 855 | #67 | — | 36 | 1 | no | — |
| 856 | #67 | — | 36 | 2 | no | — |
| 857 | #67 | — | 36 | 2 | no | — |
| 858 | #67 | — | 36 | 1 | no | — |
| 859 | #67 | — | 36 | 1 | no | — |
| 860 | #67 | — | 36 | 1 | no | — |
| 861 | #67 | — | 36 | 2 | no | — |
| 862 | #67 | — | 36 | 1 | no | — |
| 863 | #67 | — | 36 | 1 | no | — |
| 864 | #67 | — | 36 | 1 | no | — |
| 865 | #67 | — | 36 | 2 | no | — |
| 866 | #67 | — | 36 | 2 | no | — |
| 867 | #67 | — | 36 | 2 | no | — |
| 868 | #67 | — | 36 | 4 | no | — |
| 869 | C2×Dic3 | — | 3 | 1 | no | — |
| 870 | C2×Dic3 | — | 3 | 1 | no | — |
| 871 | C2×Dic3 | — | 3 | 1 | no | — |
| 872 | C2×Dic3 | — | 3 | 1 | no | — |
| 873 | C2×Dic3 | — | 3 | 1 | no | — |
| 874 | C2×Dic3 | — | 3 | 1 | no | — |
| 875 | C2×Dic3 | — | 3 | 1 | no | — |
| 876 | C2×Dic3 | — | 3 | 1 | no | — |
| 877 | C2×Dic3 | — | 4 | 1 | no | — |
| 878 | C2×Dic3 | — | 6 | 1 | no | — |
| 879 | C2×Dic3 | — | 6 | 1 | no | — |
| 880 | C2×Dic3 | — | 6 | 1 | no | — |
| 881 | C2×Dic3 | — | 6 | 1 | no | — |
| 882 | C2×Dic3 | — | 9 | 1 | no | — |
| 883 | C2×Dic3 | — | 9 | 1 | no | — |
| 884 | C2×Dic3 | — | 9 | 1 | no | — |
| 885 | C2×Dic3 | — | 18 | 1 | no | — |
| 886 | C2×Dic3 | — | 18 | 1 | no | — |
| 887 | C2×Dic3 | — | 18 | 1 | no | — |
| 888 | C2×Dic3 | — | 36 | 1 | no | — |
| 889 | C2×Dic3 | — | 36 | 1 | no | — |
| 890 | C2×Dic3 | C2×D32 | 1 | 1 | yes | characteristic |
| 891 | C2×Dic3 | C2×D32 | 1 | 1 | yes | characteristic |
| 892 | C2×Dic3 | C2×D32 | 1 | 1 | yes | characteristic |
| 893 | C2×Dic3 | C2×D32 | 1 | 1 | yes | characteristic |
| 894 | D12 | — | 12 | 1 | no | — |
| 895 | D12 | — | 36 | 1 | no | — |
| 896 | D12 | — | 36 | 1 | no | — |
| 897 | D12 | — | 36 | 1 | no | — |
| 898 | D12 | — | 36 | 1 | no | — |
| 899 | D12 | — | 36 | 2 | no | — |
| 900 | D12 | — | 36 | 2 | no | — |
| 901 | D12 | — | 36 | 1 | no | — |
| 902 | D12 | — | 36 | 1 | no | — |
| 903 | D12 | — | 36 | 1 | no | — |
| 904 | C4×D3 | — | 36 | 1 | no | — |
| 905 | C4×D3 | — | 36 | 1 | no | — |
| 906 | C4×D3 | — | 36 | 1 | no | — |
| 907 | C4×D3 | — | 36 | 1 | no | — |
| 908 | C4×D3 | — | 36 | 1 | no | — |
| 909 | C4×D3 | — | 36 | 2 | no | — |
| 910 | C2×C32 | — | 2 | 1 | no | — |
| 911 | C2×C32 | — | 2 | 1 | no | — |
| 912 | C2×C32 | — | 2 | 1 | no | — |
| 913 | C2×C32 | — | 2 | 1 | no | — |
| 914 | C2×C32 | — | 2 | 1 | no | — |
| 915 | C2×C32 | — | 2 | 1 | no | — |
| 916 | C2×C32 | — | 2 | 1 | no | — |
| 917 | C2×C32 | — | 2 | 1 | no | — |
| 918 | C2×C32 | — | 2 | 1 | no | — |
| 919 | C2×C32 | — | 4 | 1 | no | — |
| 920 | C2×C32 | — | 4 | 1 | no | — |
| 921 | C2×C32 | — | 4 | 1 | no | — |
| 922 | C2×C32 | — | 4 | 1 | no | — |
| 923 | C2×C32 | — | 4 | 2 | no | — |
| 924 | C2×C32 | — | 4 | 1 | no | — |
| 925 | C2×C32 | — | 4 | 1 | no | — |
| 926 | C2×C32 | — | 8 | 1 | no | — |
| 927 | C2×C32 | — | 8 | 1 | no | — |
| 928 | C2×C32 | — | 8 | 2 | no | — |
| 929 | C2×C32 | — | 12 | 1 | no | — |
| 930 | C2×C32 | — | 12 | 1 | no | — |
| 931 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 932 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 933 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 934 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 935 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 936 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 937 | C2×C32 | #1009 | 1 | 1 | yes | characteristic |
| 938 | C2×C32 | #1009 | 1 | 1 | yes | characteristic |
| 939 | C2×C32 | #1009 | 1 | 1 | yes | characteristic |
| 940 | C3⋊D3 | — | 4 | 1 | no | — |
| 941 | C3⋊D3 | — | 4 | 1 | no | — |
| 942 | C3⋊D3 | — | 12 | 1 | no | — |
| 943 | C3⋊D3 | — | 12 | 2 | no | — |
| 944 | C3⋊D3 | — | 12 | 1 | no | — |
| 945 | C3⋊D3 | — | 12 | 1 | no | — |
| 946 | C3⋊D3 | — | 24 | 1 | no | — |
| 947 | C3⋊D3 | — | 24 | 1 | no | — |
| 948 | C3⋊D3 | — | 24 | 2 | no | — |
| 949 | C3×D3 | — | 4 | 1 | no | — |
| 950 | C3×D3 | — | 4 | 1 | no | — |
| 951 | C3×D3 | — | 4 | 1 | no | — |
| 952 | C3×D3 | — | 4 | 1 | no | — |
| 953 | C3×D3 | — | 8 | 1 | no | — |
| 954 | C3×D3 | — | 8 | 1 | no | — |
| 955 | C3×D3 | — | 12 | 1 | no | — |
| 956 | C3×D3 | — | 12 | 1 | no | — |
| 957 | C3×D3 | — | 12 | 1 | no | — |
| 958 | C3×D3 | — | 12 | 1 | no | — |
| 959 | C3×D3 | — | 24 | 1 | no | — |
| 960 | C3×D3 | — | 24 | 1 | no | — |
| 961 | C24 | — | 9 | 1 | no | — |
| 962 | C2×D4 | — | 3 | 1 | no | — |
| 963 | C2×D4 | — | 3 | 1 | no | — |
| 964 | C2×D4 | — | 9 | 1 | no | — |
| 965 | C2×D4 | — | 9 | 1 | no | — |
| 966 | C2×D4 | — | 9 | 1 | no | — |
| 967 | C2×D4 | — | 27 | 1 | no | — |
| 968 | C2×D4 | — | 27 | 1 | no | — |
| 969 | C2×D4 | — | 27 | 1 | no | — |
| 970 | C2×D4 | — | 27 | 1 | no | — |
| 971 | C2×D4 | — | 27 | 1 | no | — |
| 972 | C2×D4 | — | 27 | 1 | no | — |
| 973 | C2×D4 | — | 27 | 1 | no | — |
| 974 | C22×C4 | — | 3 | 1 | no | — |
| 975 | C22×C4 | — | 27 | 1 | no | — |
| 976 | C22×C4 | — | 27 | 1 | no | — |
| 977 | C4⋊C4 | — | 9 | 1 | no | — |
| 978 | C4⋊C4 | — | 9 | 1 | no | — |
| 979 | C4⋊C4 | — | 9 | 1 | no | — |
| 980 | C4⋊C4 | — | 27 | 1 | no | — |
| 981 | C4⋊C4 | — | 27 | 1 | no | — |
| 982 | C4⋊C4 | — | 27 | 1 | no | — |
| 983 | C22⋊C4 | — | 9 | 1 | no | — |
| 984 | C22⋊C4 | — | 9 | 1 | no | — |
| 985 | C22⋊C4 | — | 9 | 1 | no | — |
| 986 | C22⋊C4 | — | 9 | 1 | no | — |
| 987 | C22⋊C4 | — | 9 | 1 | no | — |
| 988 | C22⋊C4 | — | 9 | 1 | no | — |
| 989 | C22⋊C4 | — | 9 | 1 | no | — |
| 990 | C22⋊C4 | — | 9 | 1 | no | — |
| 991 | C22⋊C4 | — | 27 | 1 | no | — |
| 992 | C22⋊C4 | — | 27 | 1 | no | — |
| 993 | C22⋊C4 | — | 27 | 1 | no | — |
| 994 | C22⋊C4 | — | 27 | 1 | no | — |
| 995 | C42 | — | 27 | 1 | no | — |
| 996 | C22×C3 | — | 2 | 2 | no | — |
| 997 | C22×C3 | — | 2 | 1 | no | — |
| 998 | C22×C3 | — | 2 | 1 | no | — |
| 999 | C22×C3 | — | 2 | 1 | no | — |
| 1000 | C22×C3 | — | 2 | 1 | no | — |
| 1001 | C22×C3 | — | 2 | 1 | no | — |
| 1002 | C22×C3 | — | 2 | 1 | no | — |
| 1003 | C22×C3 | — | 2 | 1 | no | — |
| 1004 | C22×C3 | — | 2 | 1 | no | — |
| 1005 | C22×C3 | — | 2 | 1 | no | — |
| 1006 | C22×C3 | — | 2 | 1 | no | — |
| 1007 | C22×C3 | — | 2 | 1 | no | — |
| 1008 | C22×C3 | — | 2 | 1 | no | — |
| 1009 | C22×C3 | — | 4 | 1 | no | — |
| 1010 | C22×C3 | — | 4 | 1 | no | — |
| 1011 | C22×C3 | — | 4 | 1 | no | — |
| 1012 | C22×C3 | — | 4 | 1 | no | — |
| 1013 | C22×C3 | — | 4 | 1 | no | — |
| 1014 | C22×C3 | — | 4 | 1 | no | — |
| 1015 | C22×C3 | — | 4 | 1 | no | — |
| 1016 | C22×C3 | — | 4 | 1 | no | — |
| 1017 | C22×C3 | — | 4 | 2 | no | — |
| 1018 | C22×C3 | — | 4 | 1 | no | — |
| 1019 | C22×C3 | — | 6 | 1 | no | — |
| 1020 | C22×C3 | — | 6 | 1 | no | — |
| 1021 | C22×C3 | — | 6 | 1 | no | — |
| 1022 | C22×C3 | — | 6 | 1 | no | — |
| 1023 | C22×C3 | — | 6 | 1 | no | — |
| 1024 | C22×C3 | — | 6 | 1 | no | — |
| 1025 | C22×C3 | — | 6 | 1 | no | — |
| 1026 | C22×C3 | — | 6 | 1 | no | — |
| 1027 | C22×C3 | — | 6 | 1 | no | — |
| 1028 | C22×C3 | — | 6 | 1 | no | — |
| 1029 | C22×C3 | — | 6 | 1 | no | — |
| 1030 | C22×C3 | — | 6 | 1 | no | — |
| 1031 | C22×C3 | — | 8 | 1 | no | — |
| 1032 | C22×C3 | — | 8 | 1 | no | — |
| 1033 | C22×C3 | — | 12 | 1 | no | — |
| 1034 | C22×C3 | — | 12 | 1 | no | — |
| 1035 | C22×C3 | — | 12 | 1 | no | — |
| 1036 | C22×C3 | — | 12 | 1 | no | — |
| 1037 | C22×C3 | — | 12 | 1 | no | — |
| 1038 | C22×C3 | — | 12 | 1 | no | — |
| 1039 | C22×C3 | — | 18 | 1 | no | — |
| 1040 | C22×C3 | — | 18 | 1 | no | — |
| 1041 | C22×C3 | — | 18 | 1 | no | — |
| 1042 | C22×C3 | — | 18 | 1 | no | — |
| 1043 | C22×C3 | — | 18 | 1 | no | — |
| 1044 | C22×C3 | — | 18 | 1 | no | — |
| 1045 | C22×C3 | — | 36 | 4 | no | — |
| 1046 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 1047 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 1048 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 1049 | C2×D3 | — | 2 | 1 | no | — |
| 1050 | C2×D3 | — | 2 | 1 | no | — |
| 1051 | C2×D3 | — | 2 | 1 | no | — |
| 1052 | C2×D3 | — | 2 | 1 | no | — |
| 1053 | C2×D3 | — | 2 | 1 | no | — |
| 1054 | C2×D3 | — | 2 | 1 | no | — |
| 1055 | C2×D3 | — | 6 | 1 | no | — |
| 1056 | C2×D3 | — | 6 | 1 | no | — |
| 1057 | C2×D3 | — | 6 | 1 | no | — |
| 1058 | C2×D3 | — | 6 | 1 | no | — |
| 1059 | C2×D3 | — | 6 | 1 | no | — |
| 1060 | C2×D3 | — | 6 | 1 | no | — |
| 1061 | C2×D3 | — | 6 | 1 | no | — |
| 1062 | C2×D3 | — | 6 | 1 | no | — |
| 1063 | C2×D3 | — | 6 | 1 | no | — |
| 1064 | C2×D3 | — | 6 | 1 | no | — |
| 1065 | C2×D3 | — | 6 | 1 | no | — |
| 1066 | C2×D3 | — | 6 | 1 | no | — |
| 1067 | C2×D3 | — | 12 | 1 | no | — |
| 1068 | C2×D3 | — | 12 | 1 | no | — |
| 1069 | C2×D3 | — | 12 | 1 | no | — |
| 1070 | C2×D3 | — | 12 | 1 | no | — |
| 1071 | C2×D3 | — | 12 | 1 | no | — |
| 1072 | C2×D3 | — | 12 | 1 | no | — |
| 1073 | C2×D3 | — | 12 | 4 | no | — |
| 1074 | C2×D3 | — | 12 | 4 | no | — |
| 1075 | C2×D3 | — | 18 | 2 | no | — |
| 1076 | C2×D3 | — | 18 | 1 | no | — |
| 1077 | C2×D3 | — | 18 | 1 | no | — |
| 1078 | C2×D3 | — | 18 | 1 | no | — |
| 1079 | C2×D3 | — | 18 | 1 | no | — |
| 1080 | C2×D3 | — | 18 | 1 | no | — |
| 1081 | C2×D3 | — | 18 | 1 | no | — |
| 1082 | C2×D3 | — | 18 | 1 | no | — |
| 1083 | C2×D3 | — | 18 | 1 | no | — |
| 1084 | C2×D3 | — | 18 | 1 | no | — |
| 1085 | C2×D3 | — | 36 | 1 | no | — |
| 1086 | C2×D3 | — | 36 | 1 | no | — |
| 1087 | C2×D3 | — | 36 | 1 | no | — |
| 1088 | C2×D3 | — | 36 | 1 | no | — |
| 1089 | C2×D3 | — | 36 | 1 | no | — |
| 1090 | C2×D3 | — | 36 | 1 | no | — |
| 1091 | C2×D3 | — | 36 | 1 | no | — |
| 1092 | C2×D3 | — | 36 | 1 | no | — |
| 1093 | C2×D3 | — | 36 | 2 | no | — |
| 1094 | C2×D3 | — | 72 | 1 | no | — |
| 1095 | C2×D3 | — | 72 | 1 | no | — |
| 1096 | C3×C4 | — | 6 | 2 | no | — |
| 1097 | C3×C4 | — | 6 | 2 | no | — |
| 1098 | C3×C4 | — | 6 | 2 | no | — |
| 1099 | C3×C4 | — | 6 | 1 | no | — |
| 1100 | C3×C4 | — | 6 | 1 | no | — |
| 1101 | C3×C4 | — | 6 | 1 | no | — |
| 1102 | C3×C4 | — | 6 | 1 | no | — |
| 1103 | C3×C4 | — | 6 | 1 | no | — |
| 1104 | C3×C4 | — | 6 | 1 | no | — |
| 1105 | C3×C4 | — | 6 | 1 | no | — |
| 1106 | C3×C4 | — | 6 | 1 | no | — |
| 1107 | C3×C4 | — | 12 | 1 | no | — |
| 1108 | C3×C4 | — | 18 | 1 | no | — |
| 1109 | C3×C4 | — | 18 | 1 | no | — |
| 1110 | C3×C4 | — | 18 | 1 | no | — |
| 1111 | C3×C4 | — | 18 | 1 | no | — |
| 1112 | Dic3 | — | 2 | 1 | no | — |
| 1113 | Dic3 | — | 2 | 1 | no | — |
| 1114 | Dic3 | — | 2 | 1 | no | — |
| 1115 | Dic3 | — | 2 | 1 | no | — |
| 1116 | Dic3 | — | 6 | 2 | no | — |
| 1117 | Dic3 | — | 6 | 1 | no | — |
| 1118 | Dic3 | — | 6 | 1 | no | — |
| 1119 | Dic3 | — | 6 | 1 | no | — |
| 1120 | Dic3 | — | 6 | 1 | no | — |
| 1121 | Dic3 | — | 6 | 1 | no | — |
| 1122 | Dic3 | — | 6 | 1 | no | — |
| 1123 | Dic3 | — | 6 | 1 | no | — |
| 1124 | Dic3 | — | 6 | 1 | no | — |
| 1125 | Dic3 | — | 12 | 1 | no | — |
| 1126 | Dic3 | — | 12 | 1 | no | — |
| 1127 | Dic3 | — | 12 | 1 | no | — |
| 1128 | Dic3 | — | 18 | 2 | no | — |
| 1129 | Dic3 | — | 18 | 1 | no | — |
| 1130 | Dic3 | — | 18 | 1 | no | — |
| 1131 | Dic3 | — | 18 | 1 | no | — |
| 1132 | Dic3 | — | 36 | 1 | no | — |
| 1133 | Dic3 | — | 36 | 1 | no | — |
| 1134 | Dic3 | — | 36 | 2 | no | — |
| 1135 | C32 | — | 2 | 1 | no | — |
| 1136 | C32 | — | 2 | 1 | no | — |
| 1137 | C32 | — | 2 | 1 | no | — |
| 1138 | C32 | — | 4 | 1 | no | — |
| 1139 | C32 | #5595 | 1 | 1 | yes | characteristic, complemented |
| 1140 | C32 | #5620 | 1 | 1 | yes | characteristic, complemented |
| 1141 | C32 | #5666 | 1 | 1 | yes | characteristic, complemented |
| 1142 | C23 | — | 3 | 1 | no | — |
| 1143 | C23 | — | 3 | 1 | no | — |
| 1144 | C23 | — | 9 | 1 | no | — |
| 1145 | C23 | — | 9 | 1 | no | — |
| 1146 | C23 | — | 27 | 1 | no | — |
| 1147 | C23 | — | 36 | 1 | no | — |
| 1148 | C23 | — | 36 | 1 | no | — |
| 1149 | C23 | — | 36 | 1 | no | — |
| 1150 | C23 | D33 | 1 | 1 | yes | characteristic |
| 1151 | D4 | — | 12 | 1 | no | — |
| 1152 | D4 | — | 12 | 1 | no | — |
| 1153 | D4 | — | 36 | 1 | no | — |
| 1154 | D4 | — | 36 | 1 | no | — |
| 1155 | D4 | — | 36 | 1 | no | — |
| 1156 | D4 | — | 108 | 1 | no | — |
| 1157 | D4 | — | 108 | 1 | no | — |
| 1158 | D4 | — | 108 | 1 | no | — |
| 1159 | D4 | — | 108 | 1 | no | — |
| 1160 | D4 | — | 108 | 1 | no | — |
| 1161 | D4 | — | 108 | 1 | no | — |
| 1162 | D4 | — | 108 | 1 | no | — |
| 1163 | C2×C4 | — | 3 | 1 | no | — |
| 1164 | C2×C4 | — | 3 | 1 | no | — |
| 1165 | C2×C4 | — | 3 | 1 | no | — |
| 1166 | C2×C4 | — | 3 | 1 | no | — |
| 1167 | C2×C4 | — | 9 | 1 | no | — |
| 1168 | C2×C4 | — | 9 | 1 | no | — |
| 1169 | C2×C4 | — | 9 | 1 | no | — |
| 1170 | C2×C4 | — | 9 | 1 | no | — |
| 1171 | C2×C4 | — | 12 | 1 | no | — |
| 1172 | C2×C4 | — | 27 | 1 | no | — |
| 1173 | C2×C4 | — | 108 | 1 | no | — |
| 1174 | C2×C4 | — | 108 | 1 | no | — |
| 1175 | C2×C3 | — | 2 | 1 | no | — |
| 1176 | C2×C3 | — | 2 | 1 | no | — |
| 1177 | C2×C3 | — | 2 | 1 | no | — |
| 1178 | C2×C3 | — | 2 | 1 | no | — |
| 1179 | C2×C3 | — | 2 | 1 | no | — |
| 1180 | C2×C3 | — | 2 | 1 | no | — |
| 1181 | C2×C3 | — | 2 | 1 | no | — |
| 1182 | C2×C3 | — | 2 | 1 | no | — |
| 1183 | C2×C3 | — | 2 | 1 | no | — |
| 1184 | C2×C3 | — | 4 | 2 | no | — |
| 1185 | C2×C3 | — | 4 | 1 | no | — |
| 1186 | C2×C3 | — | 4 | 1 | no | — |
| 1187 | C2×C3 | — | 4 | 1 | no | — |
| 1188 | C2×C3 | — | 4 | 1 | no | — |
| 1189 | C2×C3 | — | 4 | 1 | no | — |
| 1190 | C2×C3 | — | 4 | 1 | no | — |
| 1191 | C2×C3 | — | 8 | 1 | no | — |
| 1192 | C2×C3 | — | 8 | 1 | no | — |
| 1193 | C2×C3 | — | 8 | 2 | no | — |
| 1194 | C2×C3 | — | 12 | 1 | no | — |
| 1195 | C2×C3 | — | 12 | 1 | no | — |
| 1196 | C2×C3 | — | 12 | 1 | no | — |
| 1197 | C2×C3 | — | 12 | 1 | no | — |
| 1198 | C2×C3 | — | 24 | 1 | no | — |
| 1199 | C2×C3 | — | 24 | 1 | no | — |
| 1200 | C2×C3 | — | 36 | 1 | no | — |
| 1201 | C2×C3 | — | 36 | 1 | no | — |
| 1202 | C2×C3 | #64307 | 1 | 1 | yes | characteristic |
| 1203 | C2×C3 | #64308 | 1 | 1 | yes | characteristic |
| 1204 | C2×C3 | #64313 | 1 | 1 | yes | characteristic |
| 1205 | C2×C3 | #64314 | 1 | 1 | yes | characteristic |
| 1206 | C2×C3 | #64314 | 1 | 1 | yes | characteristic |
| 1207 | C2×C3 | #64314 | 1 | 1 | yes | characteristic |
| 1208 | C2×C3 | #64330 | 1 | 1 | yes | characteristic |
| 1209 | C2×C3 | #64330 | 1 | 1 | yes | characteristic |
| 1210 | C2×C3 | #64330 | 1 | 1 | yes | characteristic |
| 1211 | D3 | — | 4 | 1 | no | — |
| 1212 | D3 | — | 4 | 1 | no | — |
| 1213 | D3 | — | 12 | 1 | no | — |
| 1214 | D3 | — | 12 | 1 | no | — |
| 1215 | D3 | — | 12 | 1 | no | — |
| 1216 | D3 | — | 12 | 1 | no | — |
| 1217 | D3 | — | 24 | 1 | no | — |
| 1218 | D3 | — | 24 | 1 | no | — |
| 1219 | D3 | — | 36 | 2 | no | — |
| 1220 | D3 | — | 36 | 1 | no | — |
| 1221 | D3 | — | 36 | 1 | no | — |
| 1222 | D3 | — | 36 | 1 | no | — |
| 1223 | D3 | — | 72 | 1 | no | — |
| 1224 | D3 | — | 72 | 1 | no | — |
| 1225 | D3 | — | 72 | 2 | no | — |
| 1226 | C22 | — | 2 | 1 | no | — |
| 1227 | C22 | — | 2 | 1 | no | — |
| 1228 | C22 | — | 2 | 1 | no | — |
| 1229 | C22 | — | 6 | 1 | no | — |
| 1230 | C22 | — | 6 | 1 | no | — |
| 1231 | C22 | — | 6 | 1 | no | — |
| 1232 | C22 | — | 6 | 1 | no | — |
| 1233 | C22 | — | 6 | 1 | no | — |
| 1234 | C22 | — | 6 | 1 | no | — |
| 1235 | C22 | — | 18 | 1 | no | — |
| 1236 | C22 | — | 18 | 1 | no | — |
| 1237 | C22 | — | 18 | 1 | no | — |
| 1238 | C22 | — | 18 | 1 | no | — |
| 1239 | C22 | — | 18 | 1 | no | — |
| 1240 | C22 | — | 18 | 1 | no | — |
| 1241 | C22 | — | 36 | 4 | no | — |
| 1242 | C22 | — | 54 | 1 | no | — |
| 1243 | C22 | — | 54 | 1 | no | — |
| 1244 | C22 | — | 54 | 1 | no | — |
| 1245 | C22 | C2×D33 | 1 | 1 | yes | characteristic |
| 1246 | C4 | — | 6 | 1 | no | — |
| 1247 | C4 | — | 6 | 1 | no | — |
| 1248 | C4 | — | 6 | 1 | no | — |
| 1249 | C4 | — | 6 | 1 | no | — |
| 1250 | C4 | — | 18 | 1 | no | — |
| 1251 | C4 | — | 18 | 1 | no | — |
| 1252 | C4 | — | 18 | 1 | no | — |
| 1253 | C4 | — | 18 | 1 | no | — |
| 1254 | C4 | — | 54 | 1 | no | — |
| 1255 | C3 | — | 2 | 1 | no | — |
| 1256 | C3 | — | 2 | 1 | no | — |
| 1257 | C3 | — | 2 | 1 | no | — |
| 1258 | C3 | — | 4 | 1 | no | — |
| 1259 | C3 | #10595090 | 1 | 1 | yes | characteristic, complemented |
| 1260 | C3 | #10595258 | 1 | 1 | yes | characteristic, complemented |
| 1261 | C3 | #10595261 | 1 | 1 | yes | characteristic, complemented |
| 1262 | C2 | — | 4 | 1 | no | — |
| 1263 | C2 | — | 12 | 1 | no | — |
| 1264 | C2 | — | 12 | 1 | no | — |
| 1265 | C2 | — | 36 | 1 | no | — |
| 1266 | C2 | — | 36 | 1 | no | — |
| 1267 | C2 | — | 108 | 1 | no | — |
| 1268 | C2 | #11724414 | 1 | 1 | yes | characteristic |
| 1269 | C2 | #11724418 | 1 | 1 | yes | characteristic |
| 1270 | C2 | #11724420 | 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 | #560 |
| 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. #11723725 | C2 | semidirect |
| 2. #11723633 | C2 | semidirect |
| 3. #11723632 | C2 | semidirect |
| 4. #11723599 | C2 | semidirect |
| 5. C3×#63983 | C2 | semidirect |
| 6. C3×#63978 | C2 | semidirect |
| 7. C3×#63961 | C2 | semidirect |
| 8. #11723027 | C2 | semidirect |
| 9. #11723022 | C2 | semidirect |
| 10. #11722998 | C2 | semidirect |
| 11. #11722996 | C2 | semidirect |
| 12. #11722968 | C2 | semidirect |
| 13. #11722966 | C2 | semidirect |
| 14. #11722948 | C2 | semidirect |
| 15. #11722947 | C2 | semidirect |
| 20. C2×#6312 | C22 | semidirect |
| 22. C2×C3×#638 | C22 | semidirect |
| 25. C22×C32×Dic3 | C22 | semidirect |
| 27. C2×#6294 | C22 | semidirect |
| 29. C2×#6292 | C22 | semidirect |
| 33. C2×#6289 | C22 | semidirect |
| 35. C3×#3757 | C22 | semidirect |
| 36. #88815 | C22 | semidirect |
| 38. Dic3⋊(C3⋊Dic3) | C22 | semidirect |
| 39. Dic3⋊(C3⋊Dic3) | C22 | semidirect |
| 40. #88804 | C22 | semidirect |
| 43. Dic3×C3⋊Dic3 | C22 | semidirect |
| 44. C3×#3724 | C22 | semidirect |
| 45. C3×#3724 | C22 | semidirect |
| 46. C3×Dic3⋊Dic3 | C22 | semidirect |
| 48. C3×#3722 | C22 | semidirect |
| 63. #63983 | D3 | semidirect |
| 70. #63978 | D3 | semidirect |
| 80. #63961 | D3 | semidirect |
| 155. C2×#638 | C2×D3 | semidirect |
| 173. C22×C3×Dic3 | C2×D3 | semidirect |
| 174. C22×C3×Dic3 | C2×D3 | semidirect |
| 202. #3757 | C2×D3 | semidirect |
| 232. #3724 | C2×D3 | semidirect |
| 233. #3724 | C2×D3 | semidirect |
| 242. Dic3⋊Dic3 | C2×D3 | semidirect |
| 248. #3722 | C2×D3 | semidirect |
| 536. C22×Dic3 | D32 | semidirect |
| 771. C33 | #560 | semidirect |
| 1139. C32 | #5595 | semidirect |
| 1140. C32 | #5620 | semidirect |
| 1141. C32 | #5666 | semidirect |
| 1259. C3 | #10595090 | semidirect |
| 1260. C3 | #10595258 | semidirect |
| 1261. C3 | #10595261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11723725 | 2 |
| #11723633 | 2 |
| #11723632 | 2 |
| #11723599 | 2 |
| C3×#63983 | 2 |
| C3×#63978 | 2 |
| C3×#63961 | 2 |
| #11723027 | 2 |
| #11723022 | 2 |
| #11722998 | 2 |
| #11722996 | 2 |
| #11722968 | 2 |
| #11722966 | 2 |
| #11722948 | 2 |
| #11722947 | 2 |
| #10595261 | 3 |
| #10595258 | 3 |
| #10595090 | 3 |