Finite Group DatabasebetaFinite Group DatabasebetaOrder 2916.
1024 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 1024 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3⋊#92344 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#92280 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3⋊#92330 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11758094 | — | 3 | 1 | no | maximal |
| 5 | D3×C3⋊(C3⋊D9) | — | 3 | 1 | no | maximal |
| 6 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 7 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 8 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 9 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 10 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 11 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 12 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 13 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 14 | #92280⋊C2 | — | 3 | 1 | no | maximal |
| 15 | #11757741 | — | 3 | 1 | no | maximal |
| 16 | #11757738 | — | 3 | 1 | no | maximal |
| 17 | #11757735 | — | 3 | 1 | no | maximal |
| 18 | C3×#6908 | C22 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 19 | C3⋊(C3⋊(C3⋊D9)) | D3 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3⋊#4207 | — | 3 | 1 | no | — |
| 21 | C3⋊#4207 | — | 3 | 1 | no | — |
| 22 | C3⋊#4207 | — | 6 | 1 | no | — |
| 23 | C3×C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 24 | C3×#4208 | D3 | 1 | 1 | yes | characteristic, complemented |
| 25 | C32×D3×C9 | — | 3 | 1 | no | — |
| 26 | #92344 | — | 3 | 1 | no | — |
| 27 | #92344 | — | 3 | 1 | no | — |
| 28 | #92344 | — | 3 | 1 | no | — |
| 29 | #92344 | — | 3 | 1 | no | — |
| 30 | #92344 | — | 3 | 1 | no | — |
| 31 | #92344 | — | 3 | 1 | no | — |
| 32 | #92344 | — | 3 | 1 | no | — |
| 33 | #92344 | — | 3 | 1 | no | — |
| 34 | #92344 | — | 3 | 1 | no | — |
| 35 | #92344 | — | 6 | 1 | no | — |
| 36 | #92344 | — | 6 | 1 | no | — |
| 37 | #92344 | — | 6 | 1 | no | — |
| 38 | #92344 | — | 6 | 1 | no | — |
| 39 | #92344 | — | 6 | 1 | no | — |
| 40 | #92344 | — | 6 | 1 | no | — |
| 41 | #92344 | — | 6 | 1 | no | — |
| 42 | #92344 | — | 6 | 1 | no | — |
| 43 | #92344 | — | 6 | 1 | no | — |
| 44 | C3⋊(#733⋊C2) | — | 6 | 1 | no | — |
| 45 | C3⋊#4185 | — | 3 | 1 | no | — |
| 46 | C3⋊#4184 | — | 3 | 1 | no | — |
| 47 | C3⋊#4184 | — | 6 | 1 | no | — |
| 48 | C3⋊#4183 | — | 3 | 1 | no | — |
| 49 | C3⋊#4183 | — | 6 | 1 | no | — |
| 50 | #92330 | — | 3 | 1 | no | — |
| 51 | #92330 | — | 3 | 1 | no | — |
| 52 | #92330 | — | 3 | 1 | no | — |
| 53 | #92330 | — | 3 | 1 | no | — |
| 54 | #92330 | — | 3 | 1 | no | — |
| 55 | #92330 | — | 3 | 1 | no | — |
| 56 | #92330 | — | 3 | 1 | no | — |
| 57 | #92330 | — | 3 | 1 | no | — |
| 58 | #92330 | — | 3 | 1 | no | — |
| 59 | C3⋊#4179 | — | 3 | 1 | no | — |
| 60 | C3⋊#4177 | — | 3 | 1 | no | — |
| 61 | C3⋊#4175 | — | 3 | 1 | no | — |
| 62 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 63 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 65 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 66 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 67 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | #92280 | D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | C3×#4178 | D3 | 1 | 1 | yes | characteristic, complemented |
| 72 | C3×#4176 | D3 | 1 | 1 | yes | characteristic, complemented |
| 73 | C3×#4174 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | D3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 75 | C2×C3⋊(C3⋊D9) | — | 9 | 1 | no | — |
| 76 | #4207⋊C2 | — | 9 | 1 | no | — |
| 77 | #4207⋊C2 | — | 9 | 1 | no | — |
| 78 | #4207⋊C2 | — | 9 | 1 | no | — |
| 79 | #66432 | — | 9 | 1 | no | — |
| 80 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 81 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 82 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 83 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 84 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 85 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 86 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 87 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 88 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 89 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 90 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 91 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 92 | D3×C3⋊D9 | — | 9 | 1 | no | — |
| 93 | #4178⋊C2 | — | 9 | 1 | no | — |
| 94 | #4178⋊C2 | — | 9 | 1 | no | — |
| 95 | #4178⋊C2 | — | 9 | 1 | no | — |
| 96 | #4176⋊C2 | — | 9 | 1 | no | — |
| 97 | #4176⋊C2 | — | 9 | 1 | no | — |
| 98 | #4176⋊C2 | — | 9 | 1 | no | — |
| 99 | #4174⋊C2 | — | 9 | 1 | no | — |
| 100 | #4174⋊C2 | — | 9 | 1 | no | — |
| 101 | #4174⋊C2 | — | 9 | 1 | no | — |
| 102 | C3×#737 | — | 2 | 1 | no | — |
| 103 | C3×#737 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 104 | C33×C9 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 105 | #6908 | — | 2 | 1 | no | — |
| 106 | #6908 | — | 2 | 1 | no | — |
| 107 | #6908 | — | 2 | 1 | no | — |
| 108 | #6908 | — | 2 | 1 | no | — |
| 109 | #6908 | — | 2 | 1 | no | — |
| 110 | #6908 | — | 2 | 1 | no | — |
| 111 | #6908 | — | 2 | 1 | no | — |
| 112 | #6908 | — | 2 | 1 | no | — |
| 113 | #6908 | — | 2 | 1 | no | — |
| 114 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 115 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 116 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 117 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 118 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 119 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 120 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 121 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 122 | #6908 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 123 | C3×#733 | — | 2 | 1 | no | — |
| 124 | C3×#732 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 125 | C3×#731 | — | 2 | 1 | no | — |
| 126 | C3×#731 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 127 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 128 | C3×AΣL(1,𝔽27) | C2×D3 | 1 | 1 | yes | characteristic |
| 129 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 130 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 131 | C33×D3 | — | 3 | 1 | no | — |
| 132 | C2×C32×C9 | — | 9 | 1 | no | — |
| 133 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 134 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 135 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 136 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 137 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 138 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 139 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 140 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 141 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 142 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 143 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 144 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 145 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 146 | C3⋊(C3⋊D9) | — | 3 | 1 | no | — |
| 147 | C3⋊(C3⋊D9) | — | 6 | 1 | no | — |
| 148 | C3⋊(C3⋊D9) | — | 9 | 1 | no | — |
| 149 | C3⋊(C3⋊D9) | — | 18 | 1 | no | — |
| 150 | C3⋊(C3⋊D9) | — | 18 | 1 | no | — |
| 151 | C3⋊(C3⋊D9) | — | 18 | 1 | no | — |
| 152 | C3⋊(C3⋊D9) | — | 18 | 1 | no | — |
| 153 | #4208 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 154 | #4208 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 155 | #4208 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 156 | #4207 | — | 9 | 1 | no | — |
| 157 | #4207 | — | 9 | 1 | no | — |
| 158 | #4207 | — | 9 | 1 | no | — |
| 159 | #4207 | — | 9 | 1 | no | — |
| 160 | #4207 | — | 9 | 1 | no | — |
| 161 | #4207 | — | 9 | 1 | no | — |
| 162 | #4207 | — | 18 | 1 | no | — |
| 163 | #4207 | — | 18 | 1 | no | — |
| 164 | #4207 | — | 18 | 1 | no | — |
| 165 | #4207 | — | 18 | 1 | no | — |
| 166 | #4207 | — | 18 | 1 | no | — |
| 167 | #4207 | — | 18 | 1 | no | — |
| 168 | #4207 | — | 18 | 1 | no | — |
| 169 | #4207 | — | 18 | 1 | no | — |
| 170 | #4207 | — | 18 | 1 | no | — |
| 171 | #4207 | — | 18 | 1 | no | — |
| 172 | #4207 | — | 18 | 1 | no | — |
| 173 | #4207 | — | 18 | 1 | no | — |
| 174 | #4207 | — | 18 | 1 | no | — |
| 175 | #4207 | — | 18 | 1 | no | — |
| 176 | #4207 | — | 18 | 1 | no | — |
| 177 | C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 178 | C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 179 | C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 180 | C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 181 | C3×#272 | C3⋊D3 | 1 | 1 | yes | characteristic |
| 182 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 183 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 184 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 185 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 186 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 187 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 188 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 189 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 190 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 191 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 192 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 193 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 194 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 195 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 196 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 197 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 198 | C3×D3×C9 | — | 3 | 1 | no | — |
| 199 | C3×D3×C9 | — | 3 | 1 | no | — |
| 200 | C3×D3×C9 | — | 3 | 1 | no | — |
| 201 | C3×D3×C9 | — | 3 | 1 | no | — |
| 202 | C3×D3×C9 | — | 3 | 1 | no | — |
| 203 | C3×D3×C9 | — | 3 | 1 | no | — |
| 204 | C3×D3×C9 | — | 3 | 1 | no | — |
| 205 | C3×D3×C9 | — | 3 | 1 | no | — |
| 206 | C3×D3×C9 | — | 3 | 1 | no | — |
| 207 | C3×D3×C9 | — | 3 | 1 | no | — |
| 208 | C3×D3×C9 | — | 3 | 1 | no | — |
| 209 | C3×D3×C9 | — | 3 | 1 | no | — |
| 210 | C3×D3×C9 | — | 18 | 1 | no | — |
| 211 | #733⋊C2 | — | 18 | 1 | no | — |
| 212 | #733⋊C2 | — | 18 | 1 | no | — |
| 213 | #733⋊C2 | — | 18 | 1 | no | — |
| 214 | #733⋊C2 | — | 18 | 1 | no | — |
| 215 | #733⋊C2 | — | 18 | 1 | no | — |
| 216 | #733⋊C2 | — | 18 | 1 | no | — |
| 217 | #733⋊C2 | — | 18 | 1 | no | — |
| 218 | #733⋊C2 | — | 18 | 1 | no | — |
| 219 | #733⋊C2 | — | 18 | 1 | no | — |
| 220 | #4185 | — | 9 | 1 | no | — |
| 221 | #4185 | — | 9 | 1 | no | — |
| 222 | #4185 | — | 9 | 1 | no | — |
| 223 | #4185 | — | 18 | 1 | no | — |
| 224 | #4185 | — | 18 | 1 | no | — |
| 225 | #4185 | — | 18 | 1 | no | — |
| 226 | #4184 | — | 9 | 1 | no | — |
| 227 | #4184 | — | 9 | 1 | no | — |
| 228 | #4184 | — | 9 | 1 | no | — |
| 229 | #4184 | — | 18 | 1 | no | — |
| 230 | #4184 | — | 18 | 1 | no | — |
| 231 | #4184 | — | 18 | 1 | no | — |
| 232 | #4184 | — | 18 | 1 | no | — |
| 233 | #4184 | — | 18 | 1 | no | — |
| 234 | #4184 | — | 18 | 1 | no | — |
| 235 | #4184 | — | 18 | 1 | no | — |
| 236 | #4184 | — | 18 | 1 | no | — |
| 237 | #4184 | — | 18 | 1 | no | — |
| 238 | #4184 | — | 18 | 1 | no | — |
| 239 | #4184 | — | 18 | 1 | no | — |
| 240 | #4184 | — | 18 | 1 | no | — |
| 241 | #4183 | — | 9 | 1 | no | — |
| 242 | #4183 | — | 9 | 1 | no | — |
| 243 | #4183 | — | 9 | 1 | no | — |
| 244 | #4183 | — | 18 | 1 | no | — |
| 245 | #4183 | — | 18 | 1 | no | — |
| 246 | #4183 | — | 18 | 1 | no | — |
| 247 | #4183 | — | 18 | 1 | no | — |
| 248 | #4183 | — | 18 | 1 | no | — |
| 249 | #4183 | — | 18 | 1 | no | — |
| 250 | #4183 | — | 18 | 1 | no | — |
| 251 | #4183 | — | 18 | 1 | no | — |
| 252 | #4183 | — | 18 | 1 | no | — |
| 253 | #4183 | — | 18 | 1 | no | — |
| 254 | #4183 | — | 18 | 1 | no | — |
| 255 | #4183 | — | 18 | 1 | no | — |
| 256 | #4179 | — | 9 | 1 | no | — |
| 257 | #4179 | — | 9 | 1 | no | — |
| 258 | #4179 | — | 9 | 1 | no | — |
| 259 | #4178 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 260 | #4178 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 261 | #4178 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 262 | #4177 | — | 9 | 1 | no | — |
| 263 | #4177 | — | 9 | 1 | no | — |
| 264 | #4177 | — | 9 | 1 | no | — |
| 265 | #4176 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 266 | #4176 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 267 | #4176 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 268 | #4175 | — | 9 | 1 | no | — |
| 269 | #4175 | — | 9 | 1 | no | — |
| 270 | #4175 | — | 9 | 1 | no | — |
| 271 | #4174 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 272 | #4174 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 273 | #4174 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 274 | C2×C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 275 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 276 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 277 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 278 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 279 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 280 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 281 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 282 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 283 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 284 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 285 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 286 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 287 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 288 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 289 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 290 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 291 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 292 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 293 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 294 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 295 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 296 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 297 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 298 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 299 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 300 | C2×C3⋊D9 | — | 27 | 1 | no | — |
| 301 | ((C3⋊D3)⋊C3)⋊C2 | — | 27 | 1 | no | — |
| 302 | D3×D9 | — | 27 | 1 | no | — |
| 303 | D3×D9 | — | 27 | 1 | no | — |
| 304 | D3×D9 | — | 27 | 1 | no | — |
| 305 | D3×D9 | — | 27 | 1 | no | — |
| 306 | D3×D9 | — | 27 | 1 | no | — |
| 307 | D3×D9 | — | 27 | 1 | no | — |
| 308 | D3×D9 | — | 27 | 1 | no | — |
| 309 | D3×D9 | — | 27 | 1 | no | — |
| 310 | D3×D9 | — | 27 | 1 | no | — |
| 311 | D3×D9 | — | 27 | 1 | no | — |
| 312 | D3×D9 | — | 27 | 1 | no | — |
| 313 | D3×D9 | — | 27 | 1 | no | — |
| 314 | C34 | D32 | 1 | 1 | yes | characteristic |
| 315 | #737 | — | 2 | 1 | no | — |
| 316 | #737 | — | 2 | 1 | no | — |
| 317 | #737 | — | 2 | 1 | no | — |
| 318 | #737 | — | 2 | 1 | no | — |
| 319 | #737 | — | 2 | 1 | no | — |
| 320 | #737 | — | 2 | 1 | no | — |
| 321 | #737 | — | 2 | 1 | no | — |
| 322 | #737 | — | 2 | 1 | no | — |
| 323 | #737 | — | 2 | 1 | no | — |
| 324 | #737 | — | 2 | 1 | no | — |
| 325 | #737 | — | 2 | 1 | no | — |
| 326 | #737 | — | 2 | 1 | no | — |
| 327 | #737 | — | 12 | 1 | no | — |
| 328 | #737 | — | 12 | 1 | no | — |
| 329 | #737 | — | 12 | 1 | no | — |
| 330 | #737 | — | 12 | 1 | no | — |
| 331 | #737 | — | 12 | 1 | no | — |
| 332 | #737 | — | 12 | 1 | no | — |
| 333 | #737 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 334 | #737 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 335 | #737 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 336 | C3×3−1+2 | — | 2 | 1 | no | — |
| 337 | C3×3−1+2 | — | 2 | 1 | no | — |
| 338 | C3×3−1+2 | — | 2 | 1 | no | — |
| 339 | C3×3−1+2 | — | 6 | 1 | no | — |
| 340 | C3×3−1+2 | — | 12 | 1 | no | — |
| 341 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 342 | C3×H(3,𝔽3) | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 343 | C32×C9 | — | 3 | 1 | no | — |
| 344 | C32×C9 | — | 6 | 1 | no | — |
| 345 | C32×C9 | — | 6 | 1 | no | — |
| 346 | C32×C9 | — | 6 | 1 | no | — |
| 347 | C32×C9 | — | 6 | 1 | no | — |
| 348 | C32×C9 | — | 6 | 1 | no | — |
| 349 | C32×C9 | — | 12 | 1 | no | — |
| 350 | C32×C9 | D32 | 1 | 1 | yes | characteristic |
| 351 | C32×C9 | D32 | 1 | 1 | yes | characteristic |
| 352 | C32×C9 | D32 | 1 | 1 | yes | characteristic |
| 353 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 354 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 355 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 356 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 357 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 358 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 359 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 360 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 361 | C32×C9 | D32 | 1 | 1 | yes | characteristic, complemented |
| 362 | #733 | — | 2 | 1 | no | — |
| 363 | #733 | — | 2 | 1 | no | — |
| 364 | #733 | — | 2 | 1 | no | — |
| 365 | #733 | — | 2 | 1 | no | — |
| 366 | #733 | — | 2 | 1 | no | — |
| 367 | #733 | — | 2 | 1 | no | — |
| 368 | #733 | — | 2 | 1 | no | — |
| 369 | #733 | — | 2 | 1 | no | — |
| 370 | #733 | — | 2 | 1 | no | — |
| 371 | #732 | — | 2 | 1 | no | — |
| 372 | #732 | — | 2 | 1 | no | — |
| 373 | #732 | — | 2 | 1 | no | — |
| 374 | #732 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 375 | #732 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 376 | #732 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 377 | #731 | — | 2 | 1 | no | — |
| 378 | #731 | — | 2 | 1 | no | — |
| 379 | #731 | — | 2 | 1 | no | — |
| 380 | #731 | — | 2 | 1 | no | — |
| 381 | #731 | — | 2 | 1 | no | — |
| 382 | #731 | — | 2 | 1 | no | — |
| 383 | #731 | — | 2 | 1 | no | — |
| 384 | #731 | — | 2 | 1 | no | — |
| 385 | #731 | — | 2 | 1 | no | — |
| 386 | #731 | — | 2 | 1 | no | — |
| 387 | #731 | — | 2 | 1 | no | — |
| 388 | #731 | — | 2 | 1 | no | — |
| 389 | #731 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 390 | #731 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 391 | #731 | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 392 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 393 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 394 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 395 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 396 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 397 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 398 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 399 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 400 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 401 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 402 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 403 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 404 | AΣL(1,𝔽27) | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 405 | AΣL(1,𝔽27) | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 406 | AΣL(1,𝔽27) | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 407 | C2×C33 | — | 9 | 1 | no | — |
| 408 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 409 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 410 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 411 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 412 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 413 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 414 | C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 415 | C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 416 | C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 417 | C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 418 | C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 419 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 420 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 421 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 422 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 423 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 424 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 425 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 426 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 427 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 428 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 429 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 430 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 431 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 432 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 433 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 434 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 435 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 436 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 437 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 438 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 439 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 440 | C32×D3 | — | 3 | 1 | no | — |
| 441 | C32×D3 | — | 3 | 1 | no | — |
| 442 | C32×D3 | — | 3 | 1 | no | — |
| 443 | C32×D3 | — | 3 | 1 | no | — |
| 444 | C32×D3 | — | 3 | 1 | no | — |
| 445 | C32×D3 | — | 3 | 1 | no | — |
| 446 | C32×D3 | — | 3 | 1 | no | — |
| 447 | C32×D3 | — | 3 | 1 | no | — |
| 448 | C32×D3 | — | 3 | 1 | no | — |
| 449 | C32×D3 | — | 3 | 1 | no | — |
| 450 | C32×D3 | — | 3 | 1 | no | — |
| 451 | C32×D3 | — | 3 | 1 | no | — |
| 452 | C32×D3 | — | 3 | 1 | no | — |
| 453 | C32×D3 | — | 18 | 1 | no | — |
| 454 | C2×C3×C9 | — | 9 | 1 | no | — |
| 455 | C2×C3×C9 | — | 9 | 1 | no | — |
| 456 | C2×C3×C9 | — | 9 | 1 | no | — |
| 457 | C2×C3×C9 | — | 9 | 1 | no | — |
| 458 | C2×C3×C9 | — | 9 | 1 | no | — |
| 459 | C2×C3×C9 | — | 9 | 1 | no | — |
| 460 | C2×C3×C9 | — | 9 | 1 | no | — |
| 461 | C2×C3×C9 | — | 9 | 1 | no | — |
| 462 | C2×C3×C9 | — | 9 | 1 | no | — |
| 463 | C2×C3×C9 | — | 9 | 1 | no | — |
| 464 | C2×C3×C9 | — | 9 | 1 | no | — |
| 465 | C2×C3×C9 | — | 9 | 1 | no | — |
| 466 | #272 | C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 467 | C3⋊D9 | — | 9 | 1 | no | — |
| 468 | C3⋊D9 | — | 9 | 1 | no | — |
| 469 | C3⋊D9 | — | 9 | 1 | no | — |
| 470 | C3⋊D9 | — | 9 | 1 | no | — |
| 471 | C3⋊D9 | — | 9 | 1 | no | — |
| 472 | C3⋊D9 | — | 9 | 1 | no | — |
| 473 | C3⋊D9 | — | 9 | 1 | no | — |
| 474 | C3⋊D9 | — | 9 | 1 | no | — |
| 475 | C3⋊D9 | — | 9 | 1 | no | — |
| 476 | C3⋊D9 | — | 9 | 1 | no | — |
| 477 | C3⋊D9 | — | 9 | 1 | no | — |
| 478 | C3⋊D9 | — | 9 | 1 | no | — |
| 479 | C3⋊D9 | — | 9 | 1 | no | — |
| 480 | C3⋊D9 | — | 9 | 1 | no | — |
| 481 | C3⋊D9 | — | 9 | 1 | no | — |
| 482 | C3⋊D9 | — | 9 | 1 | no | — |
| 483 | C3⋊D9 | — | 9 | 1 | no | — |
| 484 | C3⋊D9 | — | 9 | 1 | no | — |
| 485 | C3⋊D9 | — | 9 | 1 | no | — |
| 486 | C3⋊D9 | — | 9 | 1 | no | — |
| 487 | C3⋊D9 | — | 9 | 1 | no | — |
| 488 | C3⋊D9 | — | 9 | 1 | no | — |
| 489 | C3⋊D9 | — | 9 | 1 | no | — |
| 490 | C3⋊D9 | — | 9 | 1 | no | — |
| 491 | C3⋊D9 | — | 9 | 1 | no | — |
| 492 | C3⋊D9 | — | 18 | 1 | no | — |
| 493 | C3⋊D9 | — | 18 | 1 | no | — |
| 494 | C3⋊D9 | — | 18 | 1 | no | — |
| 495 | C3⋊D9 | — | 18 | 1 | no | — |
| 496 | C3⋊D9 | — | 18 | 1 | no | — |
| 497 | C3⋊D9 | — | 18 | 1 | no | — |
| 498 | C3⋊D9 | — | 18 | 1 | no | — |
| 499 | C3⋊D9 | — | 18 | 1 | no | — |
| 500 | C3⋊D9 | — | 18 | 1 | no | — |
| 501 | C3⋊D9 | — | 18 | 1 | no | — |
| 502 | C3⋊D9 | — | 18 | 1 | no | — |
| 503 | C3⋊D9 | — | 18 | 1 | no | — |
| 504 | C3⋊D9 | — | 18 | 1 | no | — |
| 505 | C3⋊D9 | — | 18 | 1 | no | — |
| 506 | C3⋊D9 | — | 18 | 1 | no | — |
| 507 | C3⋊D9 | — | 18 | 1 | no | — |
| 508 | C3⋊D9 | — | 18 | 1 | no | — |
| 509 | C3⋊D9 | — | 18 | 1 | no | — |
| 510 | C3⋊D9 | — | 18 | 1 | no | — |
| 511 | C3⋊D9 | — | 27 | 1 | no | — |
| 512 | C3⋊D9 | — | 27 | 1 | no | — |
| 513 | C3⋊D9 | — | 27 | 1 | no | — |
| 514 | C3⋊D9 | — | 27 | 1 | no | — |
| 515 | C3⋊D9 | — | 54 | 1 | no | — |
| 516 | C3⋊D9 | — | 54 | 1 | no | — |
| 517 | C3⋊D9 | — | 54 | 1 | no | — |
| 518 | C3⋊D9 | — | 54 | 1 | no | — |
| 519 | C3⋊D9 | — | 54 | 1 | no | — |
| 520 | C3⋊D9 | — | 54 | 1 | no | — |
| 521 | C3⋊D9 | — | 54 | 1 | no | — |
| 522 | C3⋊D9 | — | 54 | 1 | no | — |
| 523 | C3⋊D9 | — | 54 | 1 | no | — |
| 524 | C3⋊D9 | — | 54 | 1 | no | — |
| 525 | C3⋊D9 | — | 54 | 1 | no | — |
| 526 | C3⋊D9 | — | 54 | 1 | no | — |
| 527 | C3⋊D9 | — | 54 | 1 | no | — |
| 528 | C3⋊D9 | — | 54 | 1 | no | — |
| 529 | C3⋊D9 | — | 54 | 1 | no | — |
| 530 | C3⋊D9 | — | 54 | 1 | no | — |
| 531 | C3⋊D9 | — | 54 | 1 | no | — |
| 532 | C3⋊D9 | — | 54 | 1 | no | — |
| 533 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 534 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 535 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 536 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 537 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 538 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 539 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 540 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 541 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 542 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 543 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 544 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 545 | (C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 546 | (C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 547 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 548 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 549 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 550 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 551 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 552 | D3×C9 | — | 3 | 1 | no | — |
| 553 | D3×C9 | — | 3 | 1 | no | — |
| 554 | D3×C9 | — | 3 | 1 | no | — |
| 555 | D3×C9 | — | 3 | 1 | no | — |
| 556 | D3×C9 | — | 3 | 1 | no | — |
| 557 | D3×C9 | — | 3 | 1 | no | — |
| 558 | D3×C9 | — | 3 | 1 | no | — |
| 559 | D3×C9 | — | 3 | 1 | no | — |
| 560 | D3×C9 | — | 3 | 1 | no | — |
| 561 | D3×C9 | — | 9 | 1 | no | — |
| 562 | D3×C9 | — | 9 | 1 | no | — |
| 563 | D3×C9 | — | 9 | 1 | no | — |
| 564 | C3×D9 | — | 27 | 1 | no | — |
| 565 | C3×D9 | — | 27 | 1 | no | — |
| 566 | C3×D9 | — | 27 | 1 | no | — |
| 567 | C3×D9 | — | 27 | 1 | no | — |
| 568 | C3×D9 | — | 27 | 1 | no | — |
| 569 | C3×D9 | — | 27 | 1 | no | — |
| 570 | C3×D9 | — | 27 | 1 | no | — |
| 571 | C3×D9 | — | 27 | 1 | no | — |
| 572 | C3×D9 | — | 27 | 1 | no | — |
| 573 | C3×D9 | — | 27 | 1 | no | — |
| 574 | C3×D9 | — | 27 | 1 | no | — |
| 575 | C3×D9 | — | 27 | 1 | no | — |
| 576 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 577 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 578 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 579 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 580 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 581 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 582 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 583 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 584 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 585 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 586 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 587 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 588 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 589 | D32 | — | 81 | 1 | no | — |
| 590 | D32 | — | 81 | 1 | no | — |
| 591 | D32 | — | 81 | 1 | no | — |
| 592 | D32 | — | 81 | 1 | no | — |
| 593 | D32 | — | 81 | 1 | no | — |
| 594 | D32 | — | 81 | 1 | no | — |
| 595 | D32 | — | 81 | 1 | no | — |
| 596 | D32 | — | 81 | 1 | no | — |
| 597 | D32 | — | 81 | 1 | no | — |
| 598 | D32 | — | 81 | 1 | no | — |
| 599 | D32 | — | 81 | 1 | no | — |
| 600 | D32 | — | 81 | 1 | no | — |
| 601 | D32 | — | 81 | 1 | no | — |
| 602 | D32 | — | 81 | 1 | no | — |
| 603 | D32 | — | 81 | 1 | no | — |
| 604 | D32 | — | 81 | 1 | no | — |
| 605 | D32 | — | 81 | 1 | no | — |
| 606 | C2×D9 | — | 81 | 1 | no | — |
| 607 | C2×D9 | — | 81 | 1 | no | — |
| 608 | C2×D9 | — | 81 | 1 | no | — |
| 609 | C2×D9 | — | 81 | 1 | no | — |
| 610 | C2×D9 | — | 81 | 1 | no | — |
| 611 | C2×D9 | — | 81 | 1 | no | — |
| 612 | C2×D9 | — | 81 | 1 | no | — |
| 613 | C2×D9 | — | 81 | 1 | no | — |
| 614 | C2×D9 | — | 81 | 1 | no | — |
| 615 | C33 | — | 3 | 1 | no | — |
| 616 | C33 | — | 3 | 1 | no | — |
| 617 | C33 | — | 3 | 1 | no | — |
| 618 | C33 | — | 3 | 1 | no | — |
| 619 | C33 | — | 6 | 1 | no | — |
| 620 | C33 | — | 6 | 1 | no | — |
| 621 | C33 | — | 6 | 1 | no | — |
| 622 | C33 | — | 6 | 1 | no | — |
| 623 | C33 | — | 6 | 1 | no | — |
| 624 | C33 | — | 6 | 1 | no | — |
| 625 | C33 | — | 6 | 1 | no | — |
| 626 | C33 | — | 6 | 1 | no | — |
| 627 | C33 | — | 6 | 1 | no | — |
| 628 | C33 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 629 | C33 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 630 | C33 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 631 | C33 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 632 | 3−1+2 | — | 2 | 1 | no | — |
| 633 | 3−1+2 | — | 2 | 1 | no | — |
| 634 | 3−1+2 | — | 2 | 1 | no | — |
| 635 | 3−1+2 | — | 2 | 1 | no | — |
| 636 | 3−1+2 | — | 2 | 1 | no | — |
| 637 | 3−1+2 | — | 2 | 1 | no | — |
| 638 | 3−1+2 | — | 2 | 1 | no | — |
| 639 | 3−1+2 | — | 2 | 1 | no | — |
| 640 | 3−1+2 | — | 2 | 1 | no | — |
| 641 | 3−1+2 | — | 6 | 1 | no | — |
| 642 | 3−1+2 | — | 12 | 1 | no | — |
| 643 | 3−1+2 | — | 12 | 1 | no | — |
| 644 | 3−1+2 | — | 12 | 1 | no | — |
| 645 | 3−1+2 | — | 12 | 1 | no | — |
| 646 | 3−1+2 | — | 12 | 1 | no | — |
| 647 | 3−1+2 | — | 12 | 1 | no | — |
| 648 | 3−1+2 | — | 12 | 1 | no | — |
| 649 | 3−1+2 | — | 12 | 1 | no | — |
| 650 | 3−1+2 | — | 12 | 1 | no | — |
| 651 | 3−1+2 | — | 12 | 1 | no | — |
| 652 | 3−1+2 | — | 12 | 1 | no | — |
| 653 | 3−1+2 | — | 12 | 1 | no | — |
| 654 | 3−1+2 | — | 12 | 1 | no | — |
| 655 | 3−1+2 | — | 12 | 1 | no | — |
| 656 | 3−1+2 | — | 12 | 1 | no | — |
| 657 | 3−1+2 | — | 12 | 1 | no | — |
| 658 | 3−1+2 | — | 12 | 1 | no | — |
| 659 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 660 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 661 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 662 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 663 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 664 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 665 | H(3,𝔽3) | C2×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 666 | C3×C9 | — | 2 | 1 | no | — |
| 667 | C3×C9 | — | 2 | 1 | no | — |
| 668 | C3×C9 | — | 2 | 1 | no | — |
| 669 | C3×C9 | — | 2 | 1 | no | — |
| 670 | C3×C9 | — | 3 | 1 | no | — |
| 671 | C3×C9 | — | 3 | 1 | no | — |
| 672 | C3×C9 | — | 3 | 1 | no | — |
| 673 | C3×C9 | — | 3 | 1 | no | — |
| 674 | C3×C9 | — | 3 | 1 | no | — |
| 675 | C3×C9 | — | 3 | 1 | no | — |
| 676 | C3×C9 | — | 3 | 1 | no | — |
| 677 | C3×C9 | — | 6 | 1 | no | — |
| 678 | C3×C9 | — | 6 | 1 | no | — |
| 679 | C3×C9 | — | 6 | 1 | no | — |
| 680 | C3×C9 | — | 6 | 1 | no | — |
| 681 | C3×C9 | — | 6 | 1 | no | — |
| 682 | C3×C9 | — | 6 | 1 | no | — |
| 683 | C3×C9 | — | 6 | 1 | no | — |
| 684 | C3×C9 | — | 6 | 1 | no | — |
| 685 | C3×C9 | — | 6 | 1 | no | — |
| 686 | C3×C9 | — | 6 | 1 | no | — |
| 687 | C3×C9 | — | 6 | 1 | no | — |
| 688 | C3×C9 | — | 6 | 1 | no | — |
| 689 | C3×C9 | — | 6 | 1 | no | — |
| 690 | C3×C9 | — | 6 | 1 | no | — |
| 691 | C3×C9 | — | 6 | 1 | no | — |
| 692 | C3×C9 | — | 6 | 1 | no | — |
| 693 | C3×C9 | — | 6 | 1 | no | — |
| 694 | C3×C9 | — | 6 | 1 | no | — |
| 695 | C3×C9 | — | 6 | 1 | no | — |
| 696 | C3×C9 | — | 6 | 1 | no | — |
| 697 | C3×C9 | — | 6 | 1 | no | — |
| 698 | C3×C9 | — | 6 | 1 | no | — |
| 699 | C3×C9 | — | 6 | 1 | no | — |
| 700 | C3×C9 | — | 6 | 1 | no | — |
| 701 | C3×C9 | — | 6 | 1 | no | — |
| 702 | C3×C9 | — | 6 | 1 | no | — |
| 703 | C3×C9 | — | 12 | 1 | no | — |
| 704 | C3×C9 | — | 12 | 1 | no | — |
| 705 | C3×C9 | — | 12 | 1 | no | — |
| 706 | C3×C9 | — | 12 | 1 | no | — |
| 707 | C3×C9 | — | 12 | 1 | no | — |
| 708 | C3×C9 | — | 12 | 1 | no | — |
| 709 | C3×C9 | — | 12 | 1 | no | — |
| 710 | C3×C9 | ((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 711 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 712 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 713 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 714 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 715 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 716 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 717 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 718 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 719 | C3×C9 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 720 | C2×C32 | — | 9 | 1 | no | — |
| 721 | C2×C32 | — | 9 | 1 | no | — |
| 722 | C2×C32 | — | 9 | 1 | no | — |
| 723 | C2×C32 | — | 9 | 1 | no | — |
| 724 | C2×C32 | — | 9 | 1 | no | — |
| 725 | C2×C32 | — | 9 | 1 | no | — |
| 726 | C2×C32 | — | 9 | 1 | no | — |
| 727 | C2×C32 | — | 9 | 1 | no | — |
| 728 | C2×C32 | — | 9 | 1 | no | — |
| 729 | C2×C32 | — | 9 | 1 | no | — |
| 730 | C2×C32 | — | 9 | 1 | no | — |
| 731 | C2×C32 | — | 9 | 1 | no | — |
| 732 | C2×C32 | — | 9 | 1 | no | — |
| 733 | C3⋊D3 | — | 27 | 1 | no | — |
| 734 | C3⋊D3 | — | 27 | 1 | no | — |
| 735 | C3⋊D3 | — | 27 | 1 | no | — |
| 736 | C3⋊D3 | — | 27 | 1 | no | — |
| 737 | C3⋊D3 | — | 27 | 1 | no | — |
| 738 | C3⋊D3 | — | 27 | 1 | no | — |
| 739 | C3⋊D3 | — | 27 | 1 | no | — |
| 740 | C3⋊D3 | — | 27 | 1 | no | — |
| 741 | C3⋊D3 | — | 27 | 1 | no | — |
| 742 | C3⋊D3 | — | 27 | 1 | no | — |
| 743 | C3⋊D3 | — | 27 | 1 | no | — |
| 744 | C3⋊D3 | — | 27 | 1 | no | — |
| 745 | C3⋊D3 | — | 27 | 1 | no | — |
| 746 | C3⋊D3 | — | 27 | 1 | no | — |
| 747 | C3⋊D3 | — | 27 | 1 | no | — |
| 748 | C3⋊D3 | — | 27 | 1 | no | — |
| 749 | C3⋊D3 | — | 54 | 1 | no | — |
| 750 | C3⋊D3 | — | 54 | 1 | no | — |
| 751 | C3⋊D3 | — | 54 | 1 | no | — |
| 752 | C3⋊D3 | — | 54 | 1 | no | — |
| 753 | C3⋊D3 | — | 54 | 1 | no | — |
| 754 | C3⋊D3 | — | 81 | 1 | no | — |
| 755 | C3⋊D3 | — | 81 | 1 | no | — |
| 756 | C3⋊D3 | — | 81 | 1 | no | — |
| 757 | C3⋊D3 | — | 81 | 1 | no | — |
| 758 | C3⋊D3 | — | 81 | 1 | no | — |
| 759 | C3⋊D3 | — | 81 | 1 | no | — |
| 760 | C3⋊D3 | — | 81 | 1 | no | — |
| 761 | C3⋊D3 | — | 81 | 1 | no | — |
| 762 | C3⋊D3 | — | 81 | 1 | no | — |
| 763 | C3⋊D3 | — | 81 | 1 | no | — |
| 764 | C3⋊D3 | — | 81 | 1 | no | — |
| 765 | C3⋊D3 | — | 81 | 1 | no | — |
| 766 | C3⋊D3 | — | 81 | 1 | no | — |
| 767 | C3⋊D3 | — | 81 | 1 | no | — |
| 768 | C3⋊D3 | — | 81 | 1 | no | — |
| 769 | C3⋊D3 | — | 162 | 1 | no | — |
| 770 | C3⋊D3 | — | 162 | 1 | no | — |
| 771 | C3⋊D3 | — | 162 | 1 | no | — |
| 772 | C3⋊D3 | — | 162 | 1 | no | — |
| 773 | C3⋊D3 | — | 162 | 1 | no | — |
| 774 | C3⋊D3 | — | 162 | 1 | no | — |
| 775 | C3⋊D3 | — | 162 | 1 | no | — |
| 776 | C3⋊D3 | — | 162 | 1 | no | — |
| 777 | C3⋊D3 | — | 162 | 1 | no | — |
| 778 | C3⋊D3 | — | 162 | 1 | no | — |
| 779 | C3⋊D3 | — | 162 | 1 | no | — |
| 780 | C3⋊D3 | — | 162 | 1 | no | — |
| 781 | C3⋊D3 | — | 162 | 1 | no | — |
| 782 | C3⋊D3 | — | 162 | 1 | no | — |
| 783 | C3⋊D3 | — | 162 | 1 | no | — |
| 784 | C3⋊D3 | — | 162 | 1 | no | — |
| 785 | C3⋊D3 | — | 162 | 1 | no | — |
| 786 | C3⋊D3 | — | 162 | 1 | no | — |
| 787 | C3⋊D3 | — | 162 | 1 | no | — |
| 788 | C3⋊D3 | — | 162 | 1 | no | — |
| 789 | C3⋊D3 | — | 162 | 1 | no | — |
| 790 | C3⋊D3 | — | 162 | 1 | no | — |
| 791 | C3⋊D3 | — | 162 | 1 | no | — |
| 792 | C3⋊D3 | — | 162 | 1 | no | — |
| 793 | C3×D3 | — | 3 | 1 | no | — |
| 794 | C3×D3 | — | 3 | 1 | no | — |
| 795 | C3×D3 | — | 3 | 1 | no | — |
| 796 | C3×D3 | — | 3 | 1 | no | — |
| 797 | C3×D3 | — | 3 | 1 | no | — |
| 798 | C3×D3 | — | 3 | 1 | no | — |
| 799 | C3×D3 | — | 3 | 1 | no | — |
| 800 | C3×D3 | — | 3 | 1 | no | — |
| 801 | C3×D3 | — | 3 | 1 | no | — |
| 802 | C3×D3 | — | 3 | 1 | no | — |
| 803 | C3×D3 | — | 3 | 1 | no | — |
| 804 | C3×D3 | — | 3 | 1 | no | — |
| 805 | C3×D3 | — | 3 | 1 | no | — |
| 806 | C3×D3 | — | 9 | 1 | no | — |
| 807 | C3×D3 | — | 9 | 1 | no | — |
| 808 | C3×D3 | — | 9 | 1 | no | — |
| 809 | C3×D3 | — | 9 | 1 | no | — |
| 810 | C3×D3 | — | 81 | 1 | no | — |
| 811 | C3×D3 | — | 81 | 1 | no | — |
| 812 | C3×D3 | — | 81 | 1 | no | — |
| 813 | C3×D3 | — | 81 | 1 | no | — |
| 814 | C3×D3 | — | 81 | 1 | no | — |
| 815 | C3×D3 | — | 81 | 1 | no | — |
| 816 | C3×D3 | — | 81 | 1 | no | — |
| 817 | C3×D3 | — | 81 | 1 | no | — |
| 818 | C3×D3 | — | 81 | 1 | no | — |
| 819 | C3×D3 | — | 81 | 1 | no | — |
| 820 | C3×D3 | — | 81 | 1 | no | — |
| 821 | C3×D3 | — | 81 | 1 | no | — |
| 822 | C3×D3 | — | 81 | 1 | no | — |
| 823 | C3×D3 | — | 81 | 1 | no | — |
| 824 | C3×D3 | — | 81 | 1 | no | — |
| 825 | C3×D3 | — | 81 | 1 | no | — |
| 826 | C3×D3 | — | 81 | 1 | no | — |
| 827 | C2×C9 | — | 9 | 1 | no | — |
| 828 | C2×C9 | — | 9 | 1 | no | — |
| 829 | C2×C9 | — | 9 | 1 | no | — |
| 830 | C2×C9 | — | 9 | 1 | no | — |
| 831 | C2×C9 | — | 9 | 1 | no | — |
| 832 | C2×C9 | — | 9 | 1 | no | — |
| 833 | C2×C9 | — | 9 | 1 | no | — |
| 834 | C2×C9 | — | 9 | 1 | no | — |
| 835 | C2×C9 | — | 9 | 1 | no | — |
| 836 | D9 | — | 27 | 1 | no | — |
| 837 | D9 | — | 27 | 1 | no | — |
| 838 | D9 | — | 27 | 1 | no | — |
| 839 | D9 | — | 27 | 1 | no | — |
| 840 | D9 | — | 27 | 1 | no | — |
| 841 | D9 | — | 27 | 1 | no | — |
| 842 | D9 | — | 27 | 1 | no | — |
| 843 | D9 | — | 27 | 1 | no | — |
| 844 | D9 | — | 27 | 1 | no | — |
| 845 | D9 | — | 27 | 1 | no | — |
| 846 | D9 | — | 27 | 1 | no | — |
| 847 | D9 | — | 27 | 1 | no | — |
| 848 | D9 | — | 54 | 1 | no | — |
| 849 | D9 | — | 54 | 1 | no | — |
| 850 | D9 | — | 54 | 1 | no | — |
| 851 | D9 | — | 54 | 1 | no | — |
| 852 | D9 | — | 54 | 1 | no | — |
| 853 | D9 | — | 54 | 1 | no | — |
| 854 | D9 | — | 54 | 1 | no | — |
| 855 | D9 | — | 54 | 1 | no | — |
| 856 | D9 | — | 54 | 1 | no | — |
| 857 | D9 | — | 54 | 1 | no | — |
| 858 | D9 | — | 54 | 1 | no | — |
| 859 | D9 | — | 54 | 1 | no | — |
| 860 | D9 | — | 81 | 1 | no | — |
| 861 | D9 | — | 81 | 1 | no | — |
| 862 | D9 | — | 162 | 1 | no | — |
| 863 | D9 | — | 162 | 1 | no | — |
| 864 | D9 | — | 162 | 1 | no | — |
| 865 | D9 | — | 162 | 1 | no | — |
| 866 | C2×D3 | — | 243 | 1 | no | — |
| 867 | C2×D3 | — | 243 | 1 | no | — |
| 868 | C2×D3 | — | 243 | 1 | no | — |
| 869 | C2×D3 | — | 243 | 1 | no | — |
| 870 | C2×D3 | — | 243 | 1 | no | — |
| 871 | C2×D3 | — | 243 | 1 | no | — |
| 872 | C2×D3 | — | 243 | 1 | no | — |
| 873 | C2×D3 | — | 243 | 1 | no | — |
| 874 | C2×D3 | — | 243 | 1 | no | — |
| 875 | C2×D3 | — | 243 | 1 | no | — |
| 876 | C2×D3 | — | 243 | 1 | no | — |
| 877 | C2×D3 | — | 243 | 1 | no | — |
| 878 | C2×D3 | — | 243 | 1 | no | — |
| 879 | C2×D3 | — | 243 | 1 | no | — |
| 880 | C2×D3 | — | 243 | 1 | no | — |
| 881 | C32 | — | 2 | 1 | no | — |
| 882 | C32 | — | 3 | 1 | no | — |
| 883 | C32 | — | 3 | 1 | no | — |
| 884 | C32 | — | 3 | 1 | no | — |
| 885 | C32 | — | 3 | 1 | no | — |
| 886 | C32 | — | 3 | 1 | no | — |
| 887 | C32 | — | 3 | 1 | no | — |
| 888 | C32 | — | 3 | 1 | no | — |
| 889 | C32 | — | 3 | 1 | no | — |
| 890 | C32 | — | 3 | 1 | no | — |
| 891 | C32 | — | 3 | 1 | no | — |
| 892 | C32 | — | 3 | 1 | no | — |
| 893 | C32 | — | 3 | 1 | no | — |
| 894 | C32 | — | 3 | 1 | no | — |
| 895 | C32 | — | 3 | 1 | no | — |
| 896 | C32 | — | 6 | 1 | no | — |
| 897 | C32 | — | 6 | 1 | no | — |
| 898 | C32 | — | 6 | 1 | no | — |
| 899 | C32 | — | 6 | 1 | no | — |
| 900 | C32 | — | 6 | 1 | no | — |
| 901 | C32 | — | 6 | 1 | no | — |
| 902 | C32 | — | 6 | 1 | no | — |
| 903 | C32 | — | 6 | 1 | no | — |
| 904 | C32 | — | 6 | 1 | no | — |
| 905 | C32 | — | 6 | 1 | no | — |
| 906 | C32 | — | 6 | 1 | no | — |
| 907 | C32 | — | 6 | 1 | no | — |
| 908 | C32 | — | 6 | 1 | no | — |
| 909 | C32 | — | 6 | 1 | no | — |
| 910 | C32 | — | 6 | 1 | no | — |
| 911 | C32 | — | 6 | 1 | no | — |
| 912 | C32 | — | 6 | 1 | no | — |
| 913 | C32 | — | 6 | 1 | no | — |
| 914 | C32 | — | 6 | 1 | no | — |
| 915 | C32 | — | 6 | 1 | no | — |
| 916 | C32 | — | 6 | 1 | no | — |
| 917 | C32 | — | 9 | 1 | no | — |
| 918 | C32 | — | 12 | 1 | no | — |
| 919 | C32 | — | 12 | 1 | no | — |
| 920 | C32 | — | 12 | 1 | no | — |
| 921 | C32 | — | 18 | 1 | no | — |
| 922 | C32 | — | 36 | 1 | no | — |
| 923 | C32 | — | 36 | 1 | no | — |
| 924 | C32 | — | 36 | 1 | no | — |
| 925 | C32 | — | 36 | 1 | no | — |
| 926 | C32 | ((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 927 | C32 | D3×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 928 | C9 | — | 2 | 1 | no | — |
| 929 | C9 | — | 2 | 1 | no | — |
| 930 | C9 | — | 2 | 1 | no | — |
| 931 | C9 | — | 3 | 1 | no | — |
| 932 | C9 | — | 3 | 1 | no | — |
| 933 | C9 | — | 6 | 1 | no | — |
| 934 | C9 | — | 6 | 1 | no | — |
| 935 | C9 | — | 6 | 1 | no | — |
| 936 | C9 | — | 6 | 1 | no | — |
| 937 | C9 | — | 12 | 1 | no | — |
| 938 | C9 | — | 12 | 1 | no | — |
| 939 | C9 | — | 12 | 1 | no | — |
| 940 | C9 | — | 12 | 1 | no | — |
| 941 | C9 | — | 12 | 1 | no | — |
| 942 | C9 | — | 12 | 1 | no | — |
| 943 | C9 | — | 12 | 1 | no | — |
| 944 | C9 | — | 12 | 1 | no | — |
| 945 | C9 | — | 12 | 1 | no | — |
| 946 | C9 | ((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 947 | C9 | ((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 948 | C9 | ((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 949 | C2×C3 | — | 9 | 1 | no | — |
| 950 | C2×C3 | — | 9 | 1 | no | — |
| 951 | C2×C3 | — | 9 | 1 | no | — |
| 952 | C2×C3 | — | 9 | 1 | no | — |
| 953 | C2×C3 | — | 9 | 1 | no | — |
| 954 | C2×C3 | — | 9 | 1 | no | — |
| 955 | C2×C3 | — | 9 | 1 | no | — |
| 956 | C2×C3 | — | 9 | 1 | no | — |
| 957 | C2×C3 | — | 9 | 1 | no | — |
| 958 | C2×C3 | — | 9 | 1 | no | — |
| 959 | C2×C3 | — | 9 | 1 | no | — |
| 960 | C2×C3 | — | 9 | 1 | no | — |
| 961 | C2×C3 | — | 9 | 1 | no | — |
| 962 | C2×C3 | — | 243 | 1 | no | — |
| 963 | C2×C3 | — | 243 | 1 | no | — |
| 964 | D3 | — | 3 | 1 | no | — |
| 965 | D3 | — | 18 | 1 | no | — |
| 966 | D3 | — | 81 | 1 | no | — |
| 967 | D3 | — | 81 | 1 | no | — |
| 968 | D3 | — | 81 | 1 | no | — |
| 969 | D3 | — | 81 | 1 | no | — |
| 970 | D3 | — | 81 | 1 | no | — |
| 971 | D3 | — | 81 | 1 | no | — |
| 972 | D3 | — | 81 | 1 | no | — |
| 973 | D3 | — | 81 | 1 | no | — |
| 974 | D3 | — | 81 | 1 | no | — |
| 975 | D3 | — | 81 | 1 | no | — |
| 976 | D3 | — | 81 | 1 | no | — |
| 977 | D3 | — | 81 | 1 | no | — |
| 978 | D3 | — | 81 | 1 | no | — |
| 979 | D3 | — | 81 | 1 | no | — |
| 980 | D3 | — | 81 | 1 | no | — |
| 981 | D3 | — | 81 | 1 | no | — |
| 982 | D3 | — | 81 | 1 | no | — |
| 983 | D3 | — | 486 | 1 | no | — |
| 984 | D3 | — | 486 | 1 | no | — |
| 985 | D3 | — | 486 | 1 | no | — |
| 986 | D3 | — | 486 | 1 | no | — |
| 987 | D3 | — | 486 | 1 | no | — |
| 988 | D3 | — | 486 | 1 | no | — |
| 989 | D3 | — | 486 | 1 | no | — |
| 990 | D3 | — | 486 | 1 | no | — |
| 991 | D3 | — | 486 | 1 | no | — |
| 992 | D3 | — | 486 | 1 | no | — |
| 993 | D3 | — | 243 | 1 | no | — |
| 994 | D3 | — | 243 | 1 | no | — |
| 995 | D3 | — | 243 | 1 | no | — |
| 996 | D3 | — | 243 | 1 | no | — |
| 997 | D3 | — | 243 | 1 | no | — |
| 998 | D3 | — | 243 | 1 | no | — |
| 999 | C22 | — | 729 | 1 | no | Sylow |
| 1000 | C3 | — | 3 | 1 | no | — |
| 1001 | C3 | — | 3 | 1 | no | — |
| 1002 | C3 | — | 3 | 1 | no | — |
| 1003 | C3 | — | 3 | 1 | no | — |
| 1004 | C3 | — | 3 | 1 | no | — |
| 1005 | C3 | — | 6 | 1 | no | — |
| 1006 | C3 | — | 6 | 1 | no | — |
| 1007 | C3 | — | 6 | 1 | no | — |
| 1008 | C3 | — | 6 | 1 | no | — |
| 1009 | C3 | — | 6 | 1 | no | — |
| 1010 | C3 | — | 6 | 1 | no | — |
| 1011 | C3 | — | 18 | 1 | no | — |
| 1012 | C3 | — | 18 | 1 | no | — |
| 1013 | C3 | — | 36 | 1 | no | — |
| 1014 | C3 | — | 36 | 1 | no | — |
| 1015 | C3 | — | 36 | 1 | no | — |
| 1016 | C3 | #92280⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1017 | C3 | #92280⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1018 | C3 | #92280⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1019 | C3 | ((C3⋊D3)⋊C3)⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 1020 | C2 | — | 9 | 1 | no | — |
| 1021 | C2 | — | 243 | 1 | no | — |
| 1022 | C2 | — | 243 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C1 | G |
| commutator, Fitting, cosocle, hypocenter | C3×#6908 | C22 |
| Frattini | C32 | D3×C3⋊(C3⋊D3) |
| socle | C32 | ((C3⋊D3)⋊C3)⋊D3 |
| LCS | G ▷ C3×#6908 | |
| UCS | C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3⋊#92344 | C2 | semidirect |
| 2. C3×#92280 | C2 | semidirect |
| 3. C3⋊#92330 | C2 | semidirect |
| 18. C3×#6908 | C22 | semidirect |
| 19. C3⋊(C3⋊(C3⋊D9)) | D3 | semidirect |
| 24. C3×#4208 | D3 | semidirect |
| 62. #92280 | D3 | semidirect |
| 63. #92280 | D3 | semidirect |
| 64. #92280 | D3 | semidirect |
| 65. #92280 | D3 | semidirect |
| 66. #92280 | D3 | semidirect |
| 67. #92280 | D3 | semidirect |
| 68. #92280 | D3 | semidirect |
| 69. #92280 | D3 | semidirect |
| 70. #92280 | D3 | semidirect |
| 71. C3×#4178 | D3 | semidirect |
| 72. C3×#4176 | D3 | semidirect |
| 73. C3×#4174 | D3 | semidirect |
| 103. C3×#737 | C2×D3 | semidirect |
| 104. C33×C9 | C2×D3 | semidirect |
| 114. #6908 | C2×D3 | semidirect |
| 115. #6908 | C2×D3 | semidirect |
| 116. #6908 | C2×D3 | semidirect |
| 117. #6908 | C2×D3 | semidirect |
| 118. #6908 | C2×D3 | semidirect |
| 119. #6908 | C2×D3 | semidirect |
| 120. #6908 | C2×D3 | semidirect |
| 121. #6908 | C2×D3 | semidirect |
| 122. #6908 | C2×D3 | semidirect |
| 124. C3×#732 | C2×D3 | semidirect |
| 126. C3×#731 | C2×D3 | semidirect |
| 153. #4208 | C3⋊D3 | semidirect |
| 154. #4208 | C3⋊D3 | semidirect |
| 155. #4208 | C3⋊D3 | semidirect |
| 259. #4178 | C3⋊D3 | semidirect |
| 260. #4178 | C3⋊D3 | semidirect |
| 261. #4178 | C3⋊D3 | semidirect |
| 265. #4176 | C3⋊D3 | semidirect |
| 266. #4176 | C3⋊D3 | semidirect |
| 267. #4176 | C3⋊D3 | semidirect |
| 271. #4174 | C3⋊D3 | semidirect |
| 272. #4174 | C3⋊D3 | semidirect |
| 273. #4174 | C3⋊D3 | semidirect |
| 333. #737 | C2×C3⋊D3 | semidirect |
| 334. #737 | C2×C3⋊D3 | semidirect |
| 335. #737 | C2×C3⋊D3 | semidirect |
| 353. C32×C9 | D32 | semidirect |
| 354. C32×C9 | D32 | semidirect |
| 355. C32×C9 | D32 | semidirect |
| 356. C32×C9 | D32 | semidirect |
| 357. C32×C9 | D32 | semidirect |
| 358. C32×C9 | D32 | semidirect |
| 359. C32×C9 | D32 | semidirect |
| 360. C32×C9 | D32 | semidirect |
| 361. C32×C9 | D32 | semidirect |
| 374. #732 | C2×C3⋊D3 | semidirect |
| 375. #732 | C2×C3⋊D3 | semidirect |
| 376. #732 | C2×C3⋊D3 | semidirect |
| 389. #731 | C2×C3⋊D3 | semidirect |
| 390. #731 | C2×C3⋊D3 | semidirect |
| 391. #731 | C2×C3⋊D3 | semidirect |
| 1016. C3 | #92280⋊C2 | semidirect |
| 1017. C3 | #92280⋊C2 | semidirect |
| 1018. C3 | #92280⋊C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊#92344 | 2 |
| C3×#92280 | 2 |
| C3⋊#92330 | 2 |
| #11758094 | 3 |
| D3×C3⋊(C3⋊D9) | 3 |
| #92280⋊C2 | 3 |
| #11757741 | 3 |
| #11757738 | 3 |
| #11757735 | 3 |