← #14553751
Subgroups — #14553751
Order 2187.
586 conjugacy classes of subgroups.
The subgroup lattice has 373 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10624899 | C3 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10624899 | C3 | 1 | 1 | yes | maximal, characteristic |
| 3 | 3−1+22 | C3 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10624884 | C3 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10624674 | C3 | 1 | 2 | yes | maximal, complemented |
| 6 | #10624674 | C3 | 1 | 2 | yes | maximal, complemented |
| 7 | #10624674 | C3 | 1 | 2 | yes | maximal, complemented |
| 8 | #10624673 | C3 | 1 | 1 | yes | maximal, characteristic |
| 9 | #10624671 | C3 | 1 | 1 | yes | maximal, characteristic |
| 10 | #10624660 | C3 | 1 | 1 | yes | maximal, characteristic |
| 11 | #10624655 | C3 | 1 | 2 | yes | maximal, complemented |
| 12 | #10624655 | C3 | 1 | 2 | yes | maximal, complemented |
| 13 | #10624655 | C3 | 1 | 2 | yes | maximal, complemented |
| 14 | #10624649 | C3 | 1 | 2 | yes | maximal, complemented |
| 15 | #10624648 | C3 | 1 | 1 | yes | maximal, characteristic |
| 16 | #10624637 | C3 | 1 | 1 | yes | maximal, characteristic |
| 17 | #10624631 | C3 | 1 | 1 | yes | maximal, characteristic |
| 18 | #10624626 | C3 | 1 | 2 | yes | maximal, complemented |
| 19 | #10624626 | C3 | 1 | 2 | yes | maximal, complemented |
| 20 | #10624626 | C3 | 1 | 2 | yes | maximal, complemented |
| 21 | #10624618 | C3 | 1 | 2 | yes | maximal, complemented |
| 22 | #10624618 | C3 | 1 | 2 | yes | maximal, complemented |
| 23 | #10624618 | C3 | 1 | 2 | yes | maximal, complemented |
| 24 | #10624612 | C3 | 1 | 1 | yes | maximal, characteristic |
| 25 | #10624600 | C3 | 1 | 1 | yes | maximal, characteristic |
| 26 | #10624594 | C3 | 1 | 1 | yes | maximal, characteristic |
| 27 | #10624588 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 28 | C32×3−1+2 | C32 | 1 | 1 | yes | characteristic |
| 29 | C32×3−1+2 | C32 | 1 | 1 | yes | characteristic |
| 30 | #6900 | — | 3 | 1 | no | — |
| 31 | #6900 | — | 3 | 2 | no | — |
| 32 | #6900 | — | 3 | 1 | no | — |
| 33 | #6900 | — | 3 | 2 | no | — |
| 34 | #6899 | — | 3 | 1 | no | — |
| 35 | #6899 | — | 3 | 1 | no | — |
| 36 | #6899 | — | 3 | 2 | no | — |
| 37 | #6899 | — | 3 | 2 | no | — |
| 38 | #6899 | — | 3 | 1 | no | — |
| 39 | #6899 | — | 3 | 1 | no | — |
| 40 | #6899 | — | 3 | 2 | no | — |
| 41 | #6899 | — | 3 | 2 | no | — |
| 42 | #6896 | — | 3 | 1 | no | — |
| 43 | #6896 | — | 3 | 2 | no | — |
| 44 | #6896 | — | 3 | 1 | no | — |
| 45 | #6896 | — | 3 | 1 | no | — |
| 46 | #6896 | — | 3 | 2 | no | — |
| 47 | #6896 | — | 3 | 2 | no | — |
| 48 | #6895 | C32 | 1 | 2 | yes | — |
| 49 | #6895 | C32 | 1 | 2 | yes | — |
| 50 | #6895 | C32 | 1 | 2 | yes | — |
| 51 | #6894 | — | 3 | 2 | no | — |
| 52 | #6894 | — | 3 | 2 | no | — |
| 53 | #6894 | — | 3 | 2 | no | — |
| 54 | #6894 | C32 | 1 | 2 | yes | — |
| 55 | #6894 | C32 | 1 | 2 | yes | — |
| 56 | #6894 | C32 | 1 | 2 | yes | — |
| 57 | #6894 | C32 | 1 | 2 | yes | — |
| 58 | #6894 | C32 | 1 | 2 | yes | — |
| 59 | #6894 | C32 | 1 | 2 | yes | — |
| 60 | #6894 | C32 | 1 | 2 | yes | — |
| 61 | #6894 | C32 | 1 | 2 | yes | — |
| 62 | #6894 | C32 | 1 | 2 | yes | — |
| 63 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 64 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 65 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 66 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 67 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 68 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 69 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 70 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 71 | #6891 | C32 | 1 | 1 | yes | characteristic |
| 72 | C9×3−1+2 | — | 3 | 1 | no | — |
| 73 | C9×3−1+2 | — | 3 | 1 | no | — |
| 74 | C9×3−1+2 | — | 3 | 1 | no | — |
| 75 | C9×3−1+2 | C32 | 1 | 1 | yes | characteristic |
| 76 | C9×3−1+2 | C32 | 1 | 1 | yes | characteristic |
| 77 | C9×3−1+2 | C32 | 1 | 1 | yes | characteristic |
| 78 | C9×3−1+2 | C32 | 1 | 2 | yes | — |
| 79 | C9×3−1+2 | C32 | 1 | 2 | yes | — |
| 80 | C9×3−1+2 | C32 | 1 | 2 | yes | — |
| 81 | #6887 | C32 | 1 | 1 | yes | characteristic |
| 82 | #6887 | C32 | 1 | 2 | yes | — |
| 83 | C3×C32⋊C9 | C32 | 1 | 1 | yes | characteristic |
| 84 | C3×C32⋊C9 | C32 | 1 | 1 | yes | characteristic |
| 85 | #6861 | C32 | 1 | 1 | yes | characteristic |
| 86 | #6861 | C32 | 1 | 1 | yes | characteristic |
| 87 | #6861 | C32 | 1 | 1 | yes | characteristic |
| 88 | #6861 | C32 | 1 | 2 | yes | — |
| 89 | #6861 | C32 | 1 | 2 | yes | — |
| 90 | #6861 | C32 | 1 | 2 | yes | — |
| 91 | #6861 | C32 | 1 | 2 | yes | — |
| 92 | #6861 | C32 | 1 | 2 | yes | — |
| 93 | #6861 | C32 | 1 | 2 | yes | — |
| 94 | #6861 | C32 | 1 | 2 | yes | — |
| 95 | #6861 | C32 | 1 | 2 | yes | — |
| 96 | #6861 | C32 | 1 | 2 | yes | — |
| 97 | #6861 | C32 | 1 | 2 | yes | — |
| 98 | #6861 | C32 | 1 | 2 | yes | — |
| 99 | #6861 | C32 | 1 | 2 | yes | — |
| 100 | #6860 | C32 | 1 | 1 | yes | characteristic |
| 101 | #6860 | C32 | 1 | 1 | yes | characteristic |
| 102 | #6860 | C32 | 1 | 1 | yes | characteristic |
| 103 | #6860 | C32 | 1 | 2 | yes | — |
| 104 | #6860 | C32 | 1 | 2 | yes | — |
| 105 | #6860 | C32 | 1 | 2 | yes | — |
| 106 | #6860 | C32 | 1 | 2 | yes | — |
| 107 | #6860 | C32 | 1 | 2 | yes | — |
| 108 | #6860 | C32 | 1 | 2 | yes | — |
| 109 | #6860 | C32 | 1 | 2 | yes | — |
| 110 | #6860 | C32 | 1 | 2 | yes | — |
| 111 | #6860 | C32 | 1 | 2 | yes | — |
| 112 | #6860 | C32 | 1 | 2 | yes | — |
| 113 | #6860 | C32 | 1 | 2 | yes | — |
| 114 | #6860 | C32 | 1 | 2 | yes | — |
| 115 | #6858 | C32 | 1 | 1 | yes | characteristic |
| 116 | #6858 | C32 | 1 | 1 | yes | characteristic |
| 117 | #6858 | C32 | 1 | 1 | yes | characteristic |
| 118 | #6858 | C32 | 1 | 2 | yes | — |
| 119 | #6858 | C32 | 1 | 2 | yes | — |
| 120 | #6858 | C32 | 1 | 2 | yes | — |
| 121 | #6858 | C32 | 1 | 2 | yes | — |
| 122 | #6858 | C32 | 1 | 2 | yes | — |
| 123 | #6858 | C32 | 1 | 2 | yes | — |
| 124 | #6858 | C32 | 1 | 2 | yes | — |
| 125 | #6858 | C32 | 1 | 2 | yes | — |
| 126 | #6858 | C32 | 1 | 2 | yes | — |
| 127 | #6858 | C32 | 1 | 2 | yes | — |
| 128 | #6858 | C32 | 1 | 2 | yes | — |
| 129 | #6858 | C32 | 1 | 2 | yes | — |
| 130 | C34 | C33 | 1 | 1 | yes | characteristic |
| 131 | C3×3−1+2 | — | 3 | 1 | no | — |
| 132 | C3×3−1+2 | — | 3 | 1 | no | — |
| 133 | C3×3−1+2 | — | 3 | 1 | no | — |
| 134 | C3×3−1+2 | — | 3 | 1 | no | — |
| 135 | C3×3−1+2 | — | 3 | 1 | no | — |
| 136 | C3×3−1+2 | — | 3 | 1 | no | — |
| 137 | C3×3−1+2 | — | 3 | 1 | no | — |
| 138 | C3×3−1+2 | — | 3 | 1 | no | — |
| 139 | C3×3−1+2 | — | 3 | 1 | no | — |
| 140 | C3×3−1+2 | — | 9 | 3 | no | — |
| 141 | C3×3−1+2 | — | 9 | 3 | no | — |
| 142 | C3×3−1+2 | H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 143 | C3×3−1+2 | H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 144 | C3×3−1+2 | H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 145 | C3×3−1+2 | H(3,𝔽3) | 1 | 2 | yes | — |
| 146 | C3×3−1+2 | H(3,𝔽3) | 1 | 2 | yes | — |
| 147 | C3×3−1+2 | H(3,𝔽3) | 1 | 2 | yes | — |
| 148 | C3×3−1+2 | C33 | 1 | 1 | yes | characteristic |
| 149 | C3×3−1+2 | C33 | 1 | 2 | yes | — |
| 150 | C3×3−1+2 | C33 | 1 | 1 | yes | characteristic |
| 151 | C3×3−1+2 | C33 | 1 | 1 | yes | characteristic |
| 152 | C3×3−1+2 | C33 | 1 | 2 | yes | — |
| 153 | C3×3−1+2 | C33 | 1 | 2 | yes | — |
| 154 | C32×C9 | — | 3 | 1 | no | — |
| 155 | C32×C9 | — | 3 | 1 | no | — |
| 156 | C32×C9 | — | 3 | 1 | no | — |
| 157 | C32×C9 | C33 | 1 | 1 | yes | characteristic |
| 158 | C32×C9 | C33 | 1 | 2 | yes | — |
| 159 | C9⋊C9 | — | 3 | 2 | no | — |
| 160 | C9⋊C9 | — | 3 | 2 | no | — |
| 161 | C9⋊C9 | — | 3 | 2 | no | — |
| 162 | C9⋊C9 | — | 3 | 2 | no | — |
| 163 | C9⋊C9 | — | 3 | 2 | no | — |
| 164 | C9⋊C9 | — | 3 | 2 | no | — |
| 165 | C9⋊C9 | — | 3 | 2 | no | — |
| 166 | C9⋊C9 | — | 3 | 2 | no | — |
| 167 | C9⋊C9 | — | 3 | 2 | no | — |
| 168 | C9⋊C9 | — | 3 | 2 | no | — |
| 169 | C9⋊C9 | — | 3 | 2 | no | — |
| 170 | C9⋊C9 | — | 3 | 2 | no | — |
| 171 | C9⋊C9 | — | 3 | 2 | no | — |
| 172 | C9⋊C9 | — | 3 | 2 | no | — |
| 173 | C9⋊C9 | — | 3 | 2 | no | — |
| 174 | C9⋊C9 | — | 3 | 2 | no | — |
| 175 | C9⋊C9 | — | 3 | 2 | no | — |
| 176 | C9⋊C9 | — | 3 | 2 | no | — |
| 177 | C9⋊C9 | — | 3 | 2 | no | — |
| 178 | C9⋊C9 | — | 3 | 2 | no | — |
| 179 | C9⋊C9 | — | 3 | 2 | no | — |
| 180 | C9⋊C9 | — | 3 | 4 | no | — |
| 181 | C9⋊C9 | — | 3 | 4 | no | — |
| 182 | C9⋊C9 | — | 3 | 2 | no | — |
| 183 | C9⋊C9 | — | 3 | 2 | no | — |
| 184 | C9⋊C9 | — | 3 | 2 | no | — |
| 185 | C9⋊C9 | — | 3 | 2 | no | — |
| 186 | C9⋊C9 | — | 3 | 2 | no | — |
| 187 | C9⋊C9 | — | 3 | 2 | no | — |
| 188 | C9⋊C9 | — | 3 | 2 | no | — |
| 189 | C9⋊C9 | — | 3 | 2 | no | — |
| 190 | C9⋊C9 | — | 3 | 4 | no | — |
| 191 | C9⋊C9 | — | 3 | 2 | no | — |
| 192 | C9⋊C9 | — | 3 | 2 | no | — |
| 193 | C9⋊C9 | — | 3 | 2 | no | — |
| 194 | C9⋊C9 | — | 3 | 2 | no | — |
| 195 | C9⋊C9 | — | 3 | 2 | no | — |
| 196 | C9⋊C9 | — | 3 | 2 | no | — |
| 197 | C9⋊C9 | — | 3 | 2 | no | — |
| 198 | C9⋊C9 | — | 3 | 2 | no | — |
| 199 | C9⋊C9 | — | 3 | 2 | no | — |
| 200 | C9⋊C9 | — | 3 | 2 | no | — |
| 201 | C9⋊C9 | — | 3 | 2 | no | — |
| 202 | C9⋊C9 | — | 3 | 2 | no | — |
| 203 | C9⋊C9 | — | 3 | 2 | no | — |
| 204 | C32⋊C9 | — | 3 | 1 | no | — |
| 205 | C32⋊C9 | — | 3 | 1 | no | — |
| 206 | C32⋊C9 | — | 3 | 1 | no | — |
| 207 | C32⋊C9 | — | 3 | 1 | no | — |
| 208 | C32⋊C9 | — | 3 | 1 | no | — |
| 209 | C32⋊C9 | — | 3 | 1 | no | — |
| 210 | C32⋊C9 | — | 3 | 1 | no | — |
| 211 | C32⋊C9 | — | 3 | 1 | no | — |
| 212 | C32⋊C9 | — | 3 | 1 | no | — |
| 213 | C32⋊C9 | — | 3 | 1 | no | — |
| 214 | C32⋊C9 | — | 3 | 1 | no | — |
| 215 | C32⋊C9 | — | 3 | 1 | no | — |
| 216 | C32⋊C9 | — | 3 | 1 | no | — |
| 217 | C32⋊C9 | — | 3 | 1 | no | — |
| 218 | C32⋊C9 | — | 3 | 1 | no | — |
| 219 | C32⋊C9 | — | 3 | 1 | no | — |
| 220 | C32⋊C9 | — | 3 | 1 | no | — |
| 221 | C32⋊C9 | — | 3 | 1 | no | — |
| 222 | C32⋊C9 | — | 3 | 1 | no | — |
| 223 | C32⋊C9 | — | 3 | 1 | no | — |
| 224 | C32⋊C9 | — | 3 | 1 | no | — |
| 225 | C32⋊C9 | — | 3 | 1 | no | — |
| 226 | C32⋊C9 | — | 3 | 1 | no | — |
| 227 | C32⋊C9 | — | 3 | 1 | no | — |
| 228 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 229 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 230 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 231 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 232 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 233 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 234 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 235 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 236 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 237 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 238 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 239 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 240 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 241 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 242 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 243 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 244 | C32⋊C9 | C33 | 1 | 1 | yes | characteristic |
| 245 | C32⋊C9 | C33 | 1 | 2 | yes | — |
| 246 | C92 | — | 3 | 2 | no | — |
| 247 | C92 | — | 3 | 1 | no | — |
| 248 | C92 | — | 3 | 2 | no | — |
| 249 | C92 | — | 3 | 2 | no | — |
| 250 | C92 | — | 3 | 1 | no | — |
| 251 | C92 | — | 3 | 1 | no | — |
| 252 | C92 | — | 3 | 2 | no | — |
| 253 | C92 | — | 3 | 1 | no | — |
| 254 | C33 | — | 9 | 1 | no | — |
| 255 | C33 | — | 9 | 1 | no | — |
| 256 | C33 | — | 9 | 1 | no | — |
| 257 | C33 | — | 9 | 1 | no | — |
| 258 | C33 | C3×H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 259 | C33 | C3×H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 260 | C33 | C3×H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 261 | C33 | C34 | 1 | 1 | yes | characteristic |
| 262 | 3−1+2 | — | 3 | 3 | no | — |
| 263 | 3−1+2 | — | 3 | 3 | no | — |
| 264 | 3−1+2 | — | 3 | 3 | no | — |
| 265 | 3−1+2 | — | 3 | 3 | no | — |
| 266 | 3−1+2 | — | 9 | 2 | no | — |
| 267 | 3−1+2 | — | 9 | 2 | no | — |
| 268 | 3−1+2 | — | 9 | 2 | no | — |
| 269 | 3−1+2 | — | 9 | 3 | no | — |
| 270 | 3−1+2 | — | 9 | 3 | no | — |
| 271 | 3−1+2 | — | 9 | 2 | no | — |
| 272 | 3−1+2 | — | 9 | 1 | no | — |
| 273 | 3−1+2 | — | 9 | 1 | no | — |
| 274 | 3−1+2 | — | 9 | 2 | no | — |
| 275 | 3−1+2 | — | 9 | 2 | no | — |
| 276 | 3−1+2 | — | 27 | 1 | no | — |
| 277 | 3−1+2 | — | 27 | 1 | no | — |
| 278 | 3−1+2 | — | 27 | 1 | no | — |
| 279 | 3−1+2 | — | 27 | 1 | no | — |
| 280 | 3−1+2 | — | 27 | 1 | no | — |
| 281 | 3−1+2 | — | 27 | 1 | no | — |
| 282 | 3−1+2 | — | 27 | 1 | no | — |
| 283 | C3×C9 | — | 3 | 1 | no | — |
| 284 | C3×C9 | — | 3 | 3 | no | — |
| 285 | C3×C9 | — | 3 | 1 | no | — |
| 286 | C3×C9 | — | 3 | 1 | no | — |
| 287 | C3×C9 | — | 3 | 2 | no | — |
| 288 | C3×C9 | — | 3 | 2 | no | — |
| 289 | C3×C9 | — | 3 | 1 | no | — |
| 290 | C3×C9 | — | 3 | 1 | no | — |
| 291 | C3×C9 | — | 3 | 2 | no | — |
| 292 | C3×C9 | — | 3 | 1 | no | — |
| 293 | C3×C9 | — | 3 | 2 | no | — |
| 294 | C3×C9 | — | 3 | 1 | no | — |
| 295 | C3×C9 | — | 3 | 2 | no | — |
| 296 | C3×C9 | — | 3 | 2 | no | — |
| 297 | C3×C9 | — | 3 | 1 | no | — |
| 298 | C3×C9 | — | 3 | 1 | no | — |
| 299 | C3×C9 | — | 3 | 2 | no | — |
| 300 | C3×C9 | — | 3 | 1 | no | — |
| 301 | C3×C9 | — | 3 | 2 | no | — |
| 302 | C3×C9 | — | 3 | 1 | no | — |
| 303 | C3×C9 | — | 3 | 2 | no | — |
| 304 | C3×C9 | — | 3 | 1 | no | — |
| 305 | C3×C9 | — | 3 | 2 | no | — |
| 306 | C3×C9 | — | 3 | 2 | no | — |
| 307 | C3×C9 | — | 3 | 2 | no | — |
| 308 | C3×C9 | — | 9 | 2 | no | — |
| 309 | C3×C9 | — | 9 | 3 | no | — |
| 310 | C3×C9 | — | 27 | 1 | no | — |
| 311 | C3×C9 | — | 27 | 1 | no | — |
| 312 | C3×C9 | C3×H(3,𝔽3) | 1 | 2 | yes | — |
| 313 | C3×C9 | C3×H(3,𝔽3) | 1 | 2 | yes | — |
| 314 | C3×C9 | C3×H(3,𝔽3) | 1 | 2 | yes | — |
| 315 | C3×C9 | C3×H(3,𝔽3) | 1 | 2 | yes | — |
| 316 | C3×C9 | C3×H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 317 | C32 | — | 3 | 1 | no | — |
| 318 | C32 | — | 3 | 1 | no | — |
| 319 | C32 | — | 3 | 1 | no | — |
| 320 | C32 | — | 3 | 1 | no | — |
| 321 | C32 | — | 3 | 1 | no | — |
| 322 | C32 | — | 3 | 1 | no | — |
| 323 | C32 | — | 3 | 1 | no | — |
| 324 | C32 | — | 3 | 1 | no | — |
| 325 | C32 | — | 3 | 1 | no | — |
| 326 | C32 | — | 3 | 1 | no | — |
| 327 | C32 | — | 3 | 1 | no | — |
| 328 | C32 | — | 3 | 1 | no | — |
| 329 | C32 | — | 3 | 1 | no | — |
| 330 | C32 | — | 3 | 1 | no | — |
| 331 | C32 | — | 3 | 1 | no | — |
| 332 | C32 | — | 3 | 1 | no | — |
| 333 | C32 | — | 27 | 3 | no | — |
| 334 | C32 | C32×H(3,𝔽3) | 1 | 1 | yes | characteristic |
| 335 | C9 | — | 3 | 2 | no | — |
| 336 | C9 | — | 3 | 2 | no | — |
| 337 | C9 | — | 3 | 2 | no | — |
| 338 | C9 | — | 3 | 2 | no | — |
| 339 | C9 | — | 3 | 3 | no | — |
| 340 | C9 | — | 9 | 2 | no | — |
| 341 | C9 | — | 9 | 1 | no | — |
| 342 | C9 | — | 9 | 2 | no | — |
| 343 | C9 | — | 9 | 2 | no | — |
| 344 | C9 | — | 9 | 1 | no | — |
| 345 | C9 | — | 9 | 2 | no | — |
| 346 | C9 | — | 9 | 1 | no | — |
| 347 | C9 | — | 9 | 1 | no | — |
| 348 | C9 | — | 9 | 2 | no | — |
| 349 | C9 | — | 9 | 2 | no | — |
| 350 | C9 | — | 9 | 1 | no | — |
| 351 | C9 | — | 9 | 2 | no | — |
| 352 | C9 | — | 9 | 1 | no | — |
| 353 | C9 | — | 9 | 2 | no | — |
| 354 | C9 | — | 9 | 1 | no | — |
| 355 | C9 | — | 9 | 2 | no | — |
| 356 | C9 | — | 9 | 1 | no | — |
| 357 | C9 | — | 9 | 2 | no | — |
| 358 | C9 | — | 9 | 1 | no | — |
| 359 | C9 | — | 9 | 2 | no | — |
| 360 | C9 | — | 9 | 1 | no | — |
| 361 | C9 | — | 9 | 2 | no | — |
| 362 | C9 | — | 9 | 1 | no | — |
| 363 | C9 | #6912 | 1 | 3 | yes | — |
| 364 | C3 | — | 9 | 1 | no | — |
| 365 | C3 | — | 9 | 1 | no | — |
| 366 | C3 | — | 9 | 1 | no | — |
| 367 | C3 | — | 9 | 1 | no | — |
| 368 | C3 | C3×#6912 | 1 | 1 | yes | characteristic |
| 369 | C3 | #10624934 | 1 | 1 | yes | characteristic |
| 370 | C3 | #10624936 | 1 | 1 | yes | characteristic |
| 371 | C3 | #10624936 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta