Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
2594 conjugacy classes of subgroups.
The subgroup lattice has 672 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #41×C3⋊D9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C9×#1010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#63715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D3×#3701 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11722510 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11722501 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | D9×#237 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #11722477 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #11722475 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #11722458 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#88634 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #10596698 | — | 3 | 1 | no | maximal |
| 13 | #10593143 | — | 3 | 1 | no | maximal |
| 14 | C3×C9×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #88746 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | Q8×C3⋊D9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #88742 | C22 | 1 | 3 | yes | complemented |
| 18 | D4×C3⋊D9 | C22 | 1 | 3 | yes | complemented |
| 19 | #88736 | C22 | 1 | 3 | yes | complemented |
| 20 | C2×C4×C3⋊D9 | C22 | 1 | 3 | yes | complemented |
| 21 | D3×Q8×C9 | C22 | 1 | 2 | yes | complemented |
| 22 | C3×#3701 | C22 | 1 | 2 | yes | complemented |
| 23 | C9×#237 | C22 | 1 | 6 | yes | complemented |
| 24 | C3×D4×D9 | C22 | 1 | 6 | yes | complemented |
| 25 | C9×#235 | C22 | 1 | 3 | yes | complemented |
| 26 | C3×#3697 | C22 | 1 | 3 | yes | complemented |
| 27 | C2×C3×D36 | C22 | 1 | 3 | yes | complemented |
| 28 | C2×C9×Dic6 | C22 | 1 | 3 | yes | complemented |
| 29 | #88668 | C22 | 1 | 6 | yes | complemented |
| 30 | D9×#67 | C22 | 1 | 12 | yes | complemented |
| 31 | #88663 | C22 | 1 | 6 | yes | complemented |
| 32 | C2×#6192 | C22 | 1 | 6 | yes | complemented |
| 33 | #88658 | C22 | 1 | 12 | yes | complemented |
| 34 | C2×Dic3×D9 | C22 | 1 | 6 | yes | complemented |
| 35 | #88646 | C22 | 1 | 3 | yes | complemented |
| 36 | D3×D36 | C22 | 1 | 6 | yes | complemented |
| 37 | C4×D3×D9 | C22 | 1 | 6 | yes | complemented |
| 38 | #88641 | C22 | 1 | 6 | yes | complemented |
| 39 | #88640 | C22 | 1 | 6 | yes | complemented |
| 40 | #88639 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | (C3⋊D9)⋊Q8 | C22 | 1 | 3 | yes | complemented |
| 42 | #88635 | C22 | 1 | 6 | yes | complemented |
| 43 | #88634 | C22 | 1 | 6 | yes | complemented |
| 44 | #88634 | C22 | 1 | 6 | yes | complemented |
| 45 | #88634 | C22 | 1 | 3 | yes | complemented |
| 46 | #88634 | C22 | 1 | 6 | yes | complemented |
| 47 | D9×Dic6 | C22 | 1 | 6 | yes | complemented |
| 48 | #41×C3⋊D3 | — | 3 | 1 | no | — |
| 49 | C3×#1010 | D3 | 1 | 1 | yes | characteristic |
| 50 | C3×#1009 | — | 3 | 1 | no | — |
| 51 | D3×#239 | — | 3 | 2 | no | — |
| 52 | #64315 | — | 3 | 2 | no | — |
| 53 | #64314 | — | 3 | 6 | no | — |
| 54 | D3×#237 | — | 3 | 6 | no | — |
| 55 | #64307 | — | 3 | 3 | no | — |
| 56 | #64306 | — | 3 | 3 | no | — |
| 57 | #64297 | — | 3 | 3 | no | — |
| 58 | C2×#3796 | — | 3 | 3 | no | — |
| 59 | C9×2−1+4 | — | 3 | 1 | no | — |
| 60 | #63715 | — | 3 | 6 | no | — |
| 61 | #63715 | — | 3 | 3 | no | — |
| 62 | #63715 | D3 | 1 | 1 | yes | characteristic, complemented |
| 63 | #41×D9 | — | 3 | 1 | no | — |
| 64 | #41×D9 | — | 3 | 6 | no | — |
| 65 | #41×D9 | — | 3 | 3 | no | — |
| 66 | #41×D9 | — | 6 | 1 | no | — |
| 67 | #63713 | — | 3 | 2 | no | — |
| 68 | #63713 | — | 3 | 3 | no | — |
| 69 | C2×#3701 | — | 3 | 2 | no | — |
| 70 | C2×#3701 | — | 3 | 3 | no | — |
| 71 | C22×C3⋊D9 | C23 | 1 | 3 | yes | — |
| 72 | C22×C3×D9 | C23 | 1 | 6 | yes | — |
| 73 | C2×D3×D9 | C23 | 1 | 6 | yes | — |
| 74 | C3×Q8×C9 | C23 | 1 | 1 | yes | characteristic |
| 75 | C3×D4×C9 | C23 | 1 | 3 | yes | — |
| 76 | C2×C3×C4×C9 | C23 | 1 | 3 | yes | — |
| 77 | #6233 | C23 | 1 | 6 | yes | — |
| 78 | C2×C3⋊Dic9 | C23 | 1 | 3 | yes | — |
| 79 | C4⋊(C3⋊D9) | C23 | 1 | 3 | yes | — |
| 80 | C4×C3⋊D9 | C23 | 1 | 1 | yes | characteristic |
| 81 | C4×C3⋊D9 | C23 | 1 | 3 | yes | — |
| 82 | C4×C3⋊D9 | C23 | 1 | 3 | yes | — |
| 83 | C4×C3⋊D9 | C23 | 1 | 3 | yes | — |
| 84 | #6226 | C23 | 1 | 3 | yes | — |
| 85 | C9×#67 | C23 | 1 | 6 | yes | — |
| 86 | C3×#611 | C23 | 1 | 6 | yes | — |
| 87 | C2×C9×Dic3 | C23 | 1 | 6 | yes | — |
| 88 | C9×D12 | C23 | 1 | 1 | yes | characteristic |
| 89 | C4×D3×C9 | C23 | 1 | 6 | yes | — |
| 90 | C3×D36 | C23 | 1 | 3 | yes | — |
| 91 | C3×D36 | C23 | 1 | 6 | yes | — |
| 92 | C3×C4×D9 | C23 | 1 | 6 | yes | — |
| 93 | C9×Dic6 | C23 | 1 | 6 | yes | — |
| 94 | C9×Dic6 | C23 | 1 | 3 | yes | — |
| 95 | C3×Dic18 | C23 | 1 | 1 | yes | characteristic |
| 96 | #6195 | C23 | 1 | 2 | yes | — |
| 97 | #6194 | C23 | 1 | 6 | yes | — |
| 98 | D3×Dic9 | C23 | 1 | 2 | yes | — |
| 99 | #6192 | C23 | 1 | 6 | yes | — |
| 100 | #6192 | C23 | 1 | 12 | yes | — |
| 101 | (C3⋊D9)⋊C4 | C23 | 1 | 6 | yes | — |
| 102 | Dic3×D9 | C23 | 1 | 12 | yes | — |
| 103 | Dic3×D9 | C23 | 1 | 6 | yes | — |
| 104 | #6189 | C23 | 1 | 6 | yes | — |
| 105 | #5968 | — | 9 | 1 | no | — |
| 106 | #5966 | — | 9 | 1 | no | — |
| 107 | C32×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 108 | #3832 | — | 3 | 1 | no | — |
| 109 | Q8×C3⋊D3 | — | 3 | 1 | no | — |
| 110 | #3830 | — | 3 | 3 | no | — |
| 111 | D4×C3⋊D3 | — | 3 | 3 | no | — |
| 112 | #3828 | — | 3 | 3 | no | — |
| 113 | C2×C4×C3⋊D3 | — | 3 | 3 | no | — |
| 114 | C3×#239 | — | 3 | 2 | no | — |
| 115 | C3×D3×Q8 | C2×D3 | 1 | 2 | yes | — |
| 116 | C3×#237 | C2×D3 | 1 | 6 | yes | — |
| 117 | C3×D3×D4 | — | 3 | 6 | no | — |
| 118 | C3×#235 | — | 3 | 3 | no | — |
| 119 | C3×#235 | C2×D3 | 1 | 3 | yes | — |
| 120 | C2×C3×D12 | — | 3 | 3 | no | — |
| 121 | C2×C3×Dic6 | C2×D3 | 1 | 3 | yes | — |
| 122 | #3811 | — | 3 | 6 | no | — |
| 123 | D3×#67 | — | 3 | 12 | no | — |
| 124 | C2×#626 | — | 3 | 6 | no | — |
| 125 | #3805 | — | 3 | 6 | no | — |
| 126 | #3804 | — | 3 | 12 | no | — |
| 127 | C2×D3×Dic3 | — | 3 | 6 | no | — |
| 128 | #3802 | — | 3 | 3 | no | — |
| 129 | D3×D12 | — | 3 | 6 | no | — |
| 130 | C4×D32 | — | 3 | 6 | no | — |
| 131 | #3799 | — | 3 | 6 | no | — |
| 132 | #3798 | — | 3 | 6 | no | — |
| 133 | #3797 | — | 3 | 3 | no | — |
| 134 | #3796 | — | 3 | 1 | no | — |
| 135 | #3796 | — | 3 | 3 | no | — |
| 136 | #3796 | — | 3 | 6 | no | — |
| 137 | #3796 | — | 3 | 6 | no | — |
| 138 | #3796 | — | 3 | 6 | no | — |
| 139 | #3795 | — | 3 | 6 | no | — |
| 140 | D3×Dic6 | — | 3 | 6 | no | — |
| 141 | C9×#41 | — | 2 | 1 | no | — |
| 142 | C9×#41 | — | 3 | 6 | no | — |
| 143 | C9×#41 | — | 3 | 3 | no | — |
| 144 | C9×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 145 | C2×Q8×C9 | — | 3 | 2 | no | — |
| 146 | C2×Q8×C9 | — | 3 | 3 | no | — |
| 147 | #3701 | — | 3 | 1 | no | — |
| 148 | #3701 | — | 3 | 6 | no | — |
| 149 | #3701 | — | 3 | 3 | no | — |
| 150 | #3701 | — | 3 | 6 | no | — |
| 151 | #3701 | — | 3 | 6 | no | — |
| 152 | #3701 | — | 3 | 6 | no | — |
| 153 | #3701 | — | 6 | 1 | no | — |
| 154 | #3701 | C2×D3 | 1 | 2 | yes | complemented |
| 155 | Q8×D9 | — | 3 | 1 | no | — |
| 156 | Q8×D9 | — | 3 | 6 | no | — |
| 157 | Q8×D9 | — | 3 | 3 | no | — |
| 158 | Q8×D9 | — | 6 | 1 | no | — |
| 159 | #3699 | — | 3 | 3 | no | — |
| 160 | #3699 | — | 3 | 6 | no | — |
| 161 | #3699 | — | 3 | 1 | no | — |
| 162 | #3699 | — | 6 | 3 | no | — |
| 163 | D4×D9 | — | 3 | 12 | no | — |
| 164 | D4×D9 | — | 3 | 3 | no | — |
| 165 | D4×D9 | — | 3 | 6 | no | — |
| 166 | D4×D9 | — | 3 | 3 | no | — |
| 167 | D4×D9 | — | 6 | 3 | no | — |
| 168 | D4×D9 | C2×D3 | 1 | 6 | yes | complemented |
| 169 | #3697 | — | 3 | 3 | no | — |
| 170 | #3697 | — | 3 | 12 | no | — |
| 171 | #3697 | — | 3 | 6 | no | — |
| 172 | #3697 | — | 3 | 6 | no | — |
| 173 | #3697 | — | 6 | 3 | no | — |
| 174 | #3697 | C2×D3 | 1 | 3 | yes | complemented |
| 175 | C2×D36 | — | 3 | 6 | no | — |
| 176 | C2×D36 | — | 3 | 6 | no | — |
| 177 | C2×D36 | C2×D3 | 1 | 3 | yes | complemented |
| 178 | C2×C4×D9 | — | 3 | 6 | no | — |
| 179 | C2×C4×D9 | — | 3 | 3 | no | — |
| 180 | C2×C4×D9 | — | 3 | 6 | no | — |
| 181 | C2×C4×D9 | — | 6 | 3 | no | — |
| 182 | C22×C3×C9 | C24 | 1 | 3 | yes | — |
| 183 | C2×C3⋊D9 | — | 4 | 3 | no | — |
| 184 | C2×C3⋊D9 | C24 | 1 | 3 | yes | — |
| 185 | C2×C3⋊D9 | C24 | 1 | 1 | yes | characteristic |
| 186 | C2×D3×C9 | C24 | 1 | 2 | yes | — |
| 187 | C2×C3×D9 | — | 4 | 6 | no | — |
| 188 | C2×C3×D9 | C24 | 1 | 6 | yes | — |
| 189 | D3×D9 | — | 4 | 6 | no | — |
| 190 | C3×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 191 | C3×C4×C9 | C24 | 1 | 3 | yes | — |
| 192 | C3⋊Dic9 | C24 | 1 | 3 | yes | — |
| 193 | C3⋊Dic9 | C24 | 1 | 1 | yes | characteristic |
| 194 | C9×Dic3 | C24 | 1 | 6 | yes | — |
| 195 | C3×Dic9 | C24 | 1 | 2 | yes | — |
| 196 | C3×2−1+4 | — | 3 | 1 | no | — |
| 197 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 198 | #1010 | — | 9 | 2 | no | — |
| 199 | #1010 | — | 9 | 3 | no | — |
| 200 | #1010 | D9 | 1 | 1 | yes | characteristic, complemented |
| 201 | #1009 | — | 3 | 1 | no | — |
| 202 | #1009 | — | 9 | 3 | no | — |
| 203 | #1009 | — | 9 | 6 | no | — |
| 204 | D3×#41 | — | 9 | 3 | no | — |
| 205 | D3×#41 | — | 9 | 6 | no | — |
| 206 | D3×#41 | — | 9 | 1 | no | — |
| 207 | D3×#41 | — | 9 | 1 | no | — |
| 208 | D3×#41 | — | 9 | 2 | no | — |
| 209 | D3×#41 | — | 9 | 3 | no | — |
| 210 | D3×#41 | — | 18 | 1 | no | — |
| 211 | #1007 | — | 9 | 3 | no | — |
| 212 | #1007 | — | 9 | 2 | no | — |
| 213 | C2×#239 | — | 9 | 3 | no | — |
| 214 | C2×#239 | — | 9 | 2 | no | — |
| 215 | #1004 | — | 9 | 6 | no | — |
| 216 | #1004 | — | 9 | 3 | no | — |
| 217 | C2×#237 | — | 9 | 6 | no | — |
| 218 | C2×#237 | — | 9 | 3 | no | — |
| 219 | C22×C3⋊D3 | — | 3 | 3 | no | — |
| 220 | C22×C3×D3 | — | 3 | 6 | no | — |
| 221 | C2×D32 | — | 3 | 6 | no | — |
| 222 | C32×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 223 | C32×D4 | C22×D3 | 1 | 3 | yes | — |
| 224 | C2×C32×C4 | C22×D3 | 1 | 3 | yes | — |
| 225 | #638 | — | 3 | 6 | no | — |
| 226 | C2×C3⋊Dic3 | — | 3 | 3 | no | — |
| 227 | C4⋊(C3⋊D3) | — | 3 | 3 | no | — |
| 228 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 229 | C4×C3⋊D3 | — | 3 | 3 | no | — |
| 230 | C4×C3⋊D3 | — | 3 | 3 | no | — |
| 231 | C4×C3⋊D3 | — | 3 | 3 | no | — |
| 232 | #634 | — | 3 | 3 | no | — |
| 233 | C3×#67 | — | 3 | 6 | no | — |
| 234 | C3×#67 | C22×D3 | 1 | 6 | yes | — |
| 235 | C2×C3×Dic3 | C22×D3 | 1 | 6 | yes | — |
| 236 | C3×D12 | — | 3 | 6 | no | — |
| 237 | C3×D12 | — | 3 | 3 | no | — |
| 238 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 239 | C3×C4×D3 | — | 3 | 6 | no | — |
| 240 | C3×C4×D3 | C22×D3 | 1 | 6 | yes | — |
| 241 | C3×Dic6 | — | 3 | 1 | no | — |
| 242 | C3×Dic6 | C22×D3 | 1 | 6 | yes | — |
| 243 | C3×Dic6 | C22×D3 | 1 | 3 | yes | — |
| 244 | #627 | — | 3 | 6 | no | — |
| 245 | #626 | — | 3 | 2 | no | — |
| 246 | #626 | — | 3 | 6 | no | — |
| 247 | #626 | — | 3 | 12 | no | — |
| 248 | #625 | — | 3 | 6 | no | — |
| 249 | #624 | — | 3 | 6 | no | — |
| 250 | D3×Dic3 | — | 3 | 2 | no | — |
| 251 | D3×Dic3 | — | 3 | 12 | no | — |
| 252 | D3×Dic3 | — | 3 | 6 | no | — |
| 253 | C22×D9 | — | 3 | 3 | no | — |
| 254 | C22×D9 | — | 3 | 6 | no | — |
| 255 | C22×D9 | — | 6 | 3 | no | — |
| 256 | C22×D9 | C22×D3 | 1 | 6 | yes | — |
| 257 | Q8×C9 | — | 2 | 1 | no | — |
| 258 | Q8×C9 | — | 3 | 6 | no | — |
| 259 | Q8×C9 | — | 3 | 3 | no | — |
| 260 | Q8×C9 | C22×D3 | 1 | 1 | yes | characteristic |
| 261 | D4×C9 | — | 2 | 3 | no | — |
| 262 | D4×C9 | — | 3 | 6 | no | — |
| 263 | D4×C9 | — | 3 | 1 | no | — |
| 264 | D4×C9 | C22×D3 | 1 | 3 | yes | — |
| 265 | C2×C4×C9 | — | 2 | 3 | no | — |
| 266 | C2×C4×C9 | — | 3 | 6 | no | — |
| 267 | C2×C4×C9 | — | 3 | 6 | no | — |
| 268 | C2×C4×C9 | C22×D3 | 1 | 3 | yes | — |
| 269 | #611 | — | 3 | 6 | no | — |
| 270 | #611 | — | 3 | 6 | no | — |
| 271 | #611 | — | 3 | 2 | no | — |
| 272 | #611 | — | 6 | 6 | no | — |
| 273 | #611 | C22×D3 | 1 | 6 | yes | — |
| 274 | C2×Dic9 | — | 3 | 3 | no | — |
| 275 | C2×Dic9 | — | 3 | 2 | no | — |
| 276 | C2×Dic9 | — | 6 | 3 | no | — |
| 277 | D36 | — | 3 | 6 | no | — |
| 278 | D36 | — | 3 | 12 | no | — |
| 279 | D36 | — | 3 | 3 | no | — |
| 280 | D36 | — | 6 | 3 | no | — |
| 281 | D36 | C22×D3 | 1 | 6 | yes | — |
| 282 | D36 | C22×D3 | 1 | 3 | yes | — |
| 283 | C4×D9 | — | 3 | 6 | no | — |
| 284 | C4×D9 | — | 3 | 12 | no | — |
| 285 | C4×D9 | — | 3 | 3 | no | — |
| 286 | C4×D9 | — | 3 | 1 | no | — |
| 287 | C4×D9 | — | 3 | 3 | no | — |
| 288 | C4×D9 | — | 3 | 3 | no | — |
| 289 | C4×D9 | — | 3 | 6 | no | — |
| 290 | C4×D9 | — | 6 | 1 | no | — |
| 291 | C4×D9 | — | 6 | 3 | no | — |
| 292 | C4×D9 | — | 6 | 3 | no | — |
| 293 | C4×D9 | — | 6 | 3 | no | — |
| 294 | C4×D9 | C22×D3 | 1 | 6 | yes | — |
| 295 | Dic18 | — | 3 | 3 | no | — |
| 296 | Dic18 | — | 3 | 6 | no | — |
| 297 | Dic18 | — | 6 | 3 | no | — |
| 298 | Dic18 | C22×D3 | 1 | 1 | yes | characteristic |
| 299 | #585 | — | 27 | 1 | no | Sylow |
| 300 | C2×C3×C9 | — | 2 | 3 | no | — |
| 301 | C2×C3×C9 | C25 | 1 | 1 | yes | characteristic |
| 302 | C3⋊D9 | — | 2 | 1 | no | — |
| 303 | C3⋊D9 | — | 2 | 3 | no | — |
| 304 | D3×C9 | — | 2 | 2 | no | — |
| 305 | C3×D9 | — | 2 | 6 | no | — |
| 306 | C3×#41 | — | 2 | 1 | no | — |
| 307 | C3×#41 | — | 3 | 6 | no | — |
| 308 | C3×#41 | — | 3 | 3 | no | — |
| 309 | C3×#41 | — | 9 | 2 | no | — |
| 310 | C3×#41 | — | 9 | 3 | no | — |
| 311 | C3×#41 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 312 | C3×#41 | D32 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 314 | C2×C3×Q8 | — | 3 | 3 | no | — |
| 315 | C2×C3×D4 | — | 9 | 6 | no | — |
| 316 | C2×C3×D4 | — | 9 | 3 | no | — |
| 317 | C2×#67 | — | 9 | 12 | no | — |
| 318 | C2×#67 | — | 9 | 6 | no | — |
| 319 | C22×Dic3 | — | 9 | 6 | no | — |
| 320 | #239 | — | 3 | 2 | no | — |
| 321 | #239 | — | 9 | 6 | no | — |
| 322 | #239 | — | 9 | 3 | no | — |
| 323 | #239 | — | 9 | 6 | no | — |
| 324 | #239 | — | 9 | 6 | no | — |
| 325 | #239 | — | 9 | 6 | no | — |
| 326 | #239 | — | 9 | 1 | no | — |
| 327 | #239 | — | 9 | 1 | no | — |
| 328 | #239 | — | 9 | 1 | no | — |
| 329 | #239 | — | 18 | 1 | no | — |
| 330 | D3×Q8 | — | 9 | 3 | no | — |
| 331 | D3×Q8 | — | 9 | 6 | no | — |
| 332 | D3×Q8 | — | 9 | 1 | no | — |
| 333 | D3×Q8 | — | 9 | 1 | no | — |
| 334 | D3×Q8 | — | 9 | 3 | no | — |
| 335 | D3×Q8 | — | 18 | 1 | no | — |
| 336 | D3×Q8 | C2×D9 | 1 | 2 | yes | complemented |
| 337 | #237 | — | 9 | 1 | no | — |
| 338 | #237 | — | 9 | 6 | no | — |
| 339 | #237 | — | 9 | 3 | no | — |
| 340 | #237 | — | 9 | 3 | no | — |
| 341 | #237 | — | 9 | 6 | no | — |
| 342 | #237 | — | 9 | 12 | no | — |
| 343 | #237 | — | 9 | 6 | no | — |
| 344 | #237 | — | 9 | 6 | no | — |
| 345 | #237 | — | 9 | 3 | no | — |
| 346 | #237 | — | 9 | 6 | no | — |
| 347 | #237 | — | 9 | 6 | no | — |
| 348 | #237 | — | 18 | 3 | no | — |
| 349 | #237 | C2×D9 | 1 | 6 | yes | complemented |
| 350 | D3×D4 | — | 3 | 6 | no | — |
| 351 | D3×D4 | — | 9 | 3 | no | — |
| 352 | D3×D4 | — | 9 | 6 | no | — |
| 353 | D3×D4 | — | 9 | 12 | no | — |
| 354 | D3×D4 | — | 9 | 3 | no | — |
| 355 | D3×D4 | — | 9 | 3 | no | — |
| 356 | D3×D4 | — | 9 | 6 | no | — |
| 357 | D3×D4 | — | 9 | 3 | no | — |
| 358 | D3×D4 | — | 9 | 6 | no | — |
| 359 | D3×D4 | — | 18 | 3 | no | — |
| 360 | #235 | — | 3 | 3 | no | — |
| 361 | #235 | — | 9 | 6 | no | — |
| 362 | #235 | — | 9 | 6 | no | — |
| 363 | #235 | — | 9 | 12 | no | — |
| 364 | #235 | — | 9 | 3 | no | — |
| 365 | #235 | — | 9 | 3 | no | — |
| 366 | #235 | — | 9 | 6 | no | — |
| 367 | #235 | — | 9 | 6 | no | — |
| 368 | #235 | — | 18 | 3 | no | — |
| 369 | #235 | C2×D9 | 1 | 3 | yes | complemented |
| 370 | C2×D12 | — | 3 | 3 | no | — |
| 371 | C2×D12 | — | 9 | 6 | no | — |
| 372 | C2×D12 | — | 9 | 6 | no | — |
| 373 | C2×C4×D3 | — | 9 | 6 | no | — |
| 374 | C2×C4×D3 | — | 9 | 6 | no | — |
| 375 | C2×C4×D3 | — | 9 | 3 | no | — |
| 376 | C2×C4×D3 | — | 9 | 3 | no | — |
| 377 | C2×C4×D3 | — | 9 | 6 | no | — |
| 378 | C2×C4×D3 | — | 18 | 3 | no | — |
| 379 | C2×Dic6 | — | 9 | 6 | no | — |
| 380 | C2×Dic6 | C2×D9 | 1 | 3 | yes | complemented |
| 381 | C22×C32 | C23×D3 | 1 | 3 | yes | — |
| 382 | C2×C3⋊D3 | — | 3 | 3 | no | — |
| 383 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 384 | C2×C3⋊D3 | — | 12 | 3 | no | — |
| 385 | C2×C3×D3 | — | 3 | 6 | no | — |
| 386 | C2×C3×D3 | — | 12 | 6 | no | — |
| 387 | C2×C3×D3 | C23×D3 | 1 | 2 | yes | — |
| 388 | D32 | — | 12 | 6 | no | — |
| 389 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 390 | C32×C4 | C23×D3 | 1 | 3 | yes | — |
| 391 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 392 | C3⋊Dic3 | — | 3 | 3 | no | — |
| 393 | C3×Dic3 | — | 3 | 2 | no | — |
| 394 | C3×Dic3 | C23×D3 | 1 | 6 | yes | — |
| 395 | C22×C9 | — | 2 | 3 | no | — |
| 396 | C22×C9 | — | 3 | 2 | no | — |
| 397 | C22×C9 | C23×D3 | 1 | 3 | yes | — |
| 398 | C2×D9 | — | 3 | 3 | no | — |
| 399 | C2×D9 | — | 3 | 1 | no | — |
| 400 | C2×D9 | — | 4 | 6 | no | — |
| 401 | C2×D9 | — | 6 | 1 | no | — |
| 402 | C2×D9 | — | 6 | 3 | no | — |
| 403 | C2×D9 | — | 12 | 6 | no | — |
| 404 | C2×D9 | — | 12 | 3 | no | — |
| 405 | C2×D9 | — | 12 | 6 | no | — |
| 406 | C2×D9 | C23×D3 | 1 | 6 | yes | — |
| 407 | C4×C9 | — | 2 | 3 | no | — |
| 408 | C4×C9 | — | 2 | 1 | no | — |
| 409 | C4×C9 | — | 3 | 6 | no | — |
| 410 | C4×C9 | C23×D3 | 1 | 3 | yes | — |
| 411 | C4×C9 | C23×D3 | 1 | 1 | yes | characteristic |
| 412 | Dic9 | — | 3 | 3 | no | — |
| 413 | Dic9 | — | 3 | 1 | no | — |
| 414 | Dic9 | — | 6 | 3 | no | — |
| 415 | Dic9 | — | 6 | 1 | no | — |
| 416 | Dic9 | C23×D3 | 1 | 2 | yes | — |
| 417 | 2−1+4 | — | 3 | 1 | no | — |
| 418 | 2−1+4 | — | 27 | 2 | no | — |
| 419 | 2−1+4 | — | 27 | 3 | no | — |
| 420 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 421 | H(5,𝔽2) | — | 27 | 6 | no | — |
| 422 | H(5,𝔽2) | — | 27 | 3 | no | — |
| 423 | C2×#41 | — | 27 | 3 | no | — |
| 424 | C2×#41 | — | 27 | 6 | no | — |
| 425 | C2×#41 | — | 27 | 2 | no | — |
| 426 | C2×#41 | — | 27 | 3 | no | — |
| 427 | C2×#41 | — | 27 | 1 | no | — |
| 428 | C3×C9 | #585 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 429 | C23×C3 | — | 9 | 6 | no | — |
| 430 | C22×D3 | — | 3 | 6 | no | — |
| 431 | C22×D3 | — | 9 | 6 | no | — |
| 432 | C22×D3 | — | 9 | 3 | no | — |
| 433 | C22×D3 | — | 9 | 3 | no | — |
| 434 | C22×D3 | — | 9 | 6 | no | — |
| 435 | C22×D3 | — | 18 | 3 | no | — |
| 436 | C3×Q8 | — | 2 | 1 | no | — |
| 437 | C3×Q8 | — | 3 | 3 | no | — |
| 438 | C3×Q8 | — | 3 | 6 | no | — |
| 439 | C3×Q8 | — | 9 | 1 | no | — |
| 440 | C3×Q8 | C22×D9 | 1 | 1 | yes | characteristic |
| 441 | C3×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 442 | C3×D4 | — | 2 | 3 | no | — |
| 443 | C3×D4 | — | 3 | 6 | no | — |
| 444 | C3×D4 | — | 3 | 1 | no | — |
| 445 | C3×D4 | — | 9 | 6 | no | — |
| 446 | C3×D4 | — | 9 | 6 | no | — |
| 447 | C3×D4 | — | 9 | 3 | no | — |
| 448 | C3×D4 | C22×D9 | 1 | 3 | yes | — |
| 449 | C3×D4 | C2×D32 | 1 | 3 | yes | — |
| 450 | C2×C3×C4 | — | 2 | 3 | no | — |
| 451 | C2×C3×C4 | — | 3 | 6 | no | — |
| 452 | C2×C3×C4 | — | 3 | 6 | no | — |
| 453 | C2×C3×C4 | — | 9 | 6 | no | — |
| 454 | C2×C3×C4 | C22×D9 | 1 | 3 | yes | — |
| 455 | C2×C3×C4 | C2×D32 | 1 | 3 | yes | — |
| 456 | #67 | — | 3 | 6 | no | — |
| 457 | #67 | — | 9 | 2 | no | — |
| 458 | #67 | — | 9 | 6 | no | — |
| 459 | #67 | — | 9 | 6 | no | — |
| 460 | #67 | — | 9 | 6 | no | — |
| 461 | #67 | — | 9 | 6 | no | — |
| 462 | #67 | — | 9 | 6 | no | — |
| 463 | #67 | — | 9 | 12 | no | — |
| 464 | #67 | — | 18 | 6 | no | — |
| 465 | #67 | C22×D9 | 1 | 6 | yes | — |
| 466 | C2×Dic3 | — | 9 | 2 | no | — |
| 467 | C2×Dic3 | — | 9 | 3 | no | — |
| 468 | C2×Dic3 | — | 9 | 3 | no | — |
| 469 | C2×Dic3 | — | 9 | 12 | no | — |
| 470 | C2×Dic3 | — | 9 | 6 | no | — |
| 471 | C2×Dic3 | — | 18 | 3 | no | — |
| 472 | C2×Dic3 | C22×D9 | 1 | 6 | yes | — |
| 473 | D12 | — | 3 | 3 | no | — |
| 474 | D12 | — | 3 | 6 | no | — |
| 475 | D12 | — | 9 | 6 | no | — |
| 476 | D12 | — | 9 | 12 | no | — |
| 477 | D12 | — | 9 | 2 | no | — |
| 478 | D12 | — | 9 | 3 | no | — |
| 479 | D12 | — | 9 | 3 | no | — |
| 480 | D12 | — | 18 | 3 | no | — |
| 481 | D12 | C22×D9 | 1 | 1 | yes | characteristic |
| 482 | C4×D3 | — | 3 | 6 | no | — |
| 483 | C4×D3 | — | 9 | 6 | no | — |
| 484 | C4×D3 | — | 9 | 6 | no | — |
| 485 | C4×D3 | — | 9 | 12 | no | — |
| 486 | C4×D3 | — | 9 | 2 | no | — |
| 487 | C4×D3 | — | 9 | 1 | no | — |
| 488 | C4×D3 | — | 9 | 3 | no | — |
| 489 | C4×D3 | — | 9 | 3 | no | — |
| 490 | C4×D3 | — | 9 | 3 | no | — |
| 491 | C4×D3 | — | 9 | 3 | no | — |
| 492 | C4×D3 | — | 9 | 1 | no | — |
| 493 | C4×D3 | — | 9 | 3 | no | — |
| 494 | C4×D3 | — | 9 | 3 | no | — |
| 495 | C4×D3 | — | 9 | 6 | no | — |
| 496 | C4×D3 | — | 18 | 1 | no | — |
| 497 | C4×D3 | — | 18 | 3 | no | — |
| 498 | C4×D3 | — | 18 | 3 | no | — |
| 499 | C4×D3 | — | 18 | 3 | no | — |
| 500 | C4×D3 | C22×D9 | 1 | 6 | yes | — |
| 501 | Dic6 | — | 3 | 1 | no | — |
| 502 | Dic6 | — | 9 | 6 | no | — |
| 503 | Dic6 | — | 9 | 3 | no | — |
| 504 | Dic6 | — | 9 | 3 | no | — |
| 505 | Dic6 | — | 9 | 6 | no | — |
| 506 | Dic6 | — | 18 | 3 | no | — |
| 507 | Dic6 | C22×D9 | 1 | 6 | yes | — |
| 508 | Dic6 | C22×D9 | 1 | 3 | yes | — |
| 509 | C2×C32 | — | 2 | 3 | no | — |
| 510 | C2×C32 | C24×D3 | 1 | 1 | yes | characteristic |
| 511 | C3⋊D3 | — | 6 | 1 | no | — |
| 512 | C3⋊D3 | — | 6 | 3 | no | — |
| 513 | C3×D3 | — | 2 | 2 | no | — |
| 514 | C3×D3 | — | 6 | 6 | no | — |
| 515 | C2×C9 | — | 2 | 3 | no | — |
| 516 | C2×C9 | — | 2 | 1 | no | — |
| 517 | C2×C9 | — | 4 | 3 | no | — |
| 518 | C2×C9 | — | 6 | 2 | no | — |
| 519 | C2×C9 | C24×D3 | 1 | 1 | yes | characteristic |
| 520 | D9 | — | 2 | 6 | no | — |
| 521 | D9 | — | 6 | 2 | no | — |
| 522 | D9 | — | 6 | 1 | no | — |
| 523 | D9 | — | 6 | 3 | no | — |
| 524 | D9 | — | 12 | 3 | no | — |
| 525 | #41 | — | 3 | 6 | no | — |
| 526 | #41 | — | 3 | 3 | no | — |
| 527 | #41 | — | 9 | 2 | no | — |
| 528 | #41 | — | 9 | 3 | no | — |
| 529 | #41 | — | 27 | 6 | no | — |
| 530 | #41 | — | 27 | 12 | no | — |
| 531 | #41 | — | 27 | 6 | no | — |
| 532 | #41 | — | 27 | 6 | no | — |
| 533 | #41 | — | 27 | 6 | no | — |
| 534 | #41 | — | 27 | 1 | no | — |
| 535 | #41 | — | 27 | 3 | no | — |
| 536 | #41 | — | 27 | 6 | no | — |
| 537 | #41 | — | 27 | 6 | no | — |
| 538 | #41 | — | 27 | 6 | no | — |
| 539 | #41 | — | 27 | 1 | no | — |
| 540 | #41 | — | 27 | 3 | no | — |
| 541 | #41 | — | 27 | 3 | no | — |
| 542 | #41 | D3×D9 | 1 | 1 | yes | characteristic, complemented |
| 543 | C2×Q8 | — | 3 | 2 | no | — |
| 544 | C2×Q8 | — | 3 | 3 | no | — |
| 545 | C2×Q8 | — | 27 | 6 | no | — |
| 546 | C2×Q8 | — | 27 | 3 | no | — |
| 547 | C2×Q8 | — | 27 | 1 | no | — |
| 548 | C2×D4 | — | 9 | 6 | no | — |
| 549 | C2×D4 | — | 9 | 3 | no | — |
| 550 | C2×D4 | — | 27 | 6 | no | — |
| 551 | C2×D4 | — | 27 | 6 | no | — |
| 552 | C2×D4 | — | 27 | 6 | no | — |
| 553 | C2×D4 | — | 27 | 3 | no | — |
| 554 | C2×D4 | — | 27 | 12 | no | — |
| 555 | C2×D4 | — | 27 | 3 | no | — |
| 556 | C22×C4 | — | 27 | 6 | no | — |
| 557 | C22×C4 | — | 27 | 6 | no | — |
| 558 | C22×C4 | — | 27 | 3 | no | — |
| 559 | C22×C3 | — | 2 | 3 | no | — |
| 560 | C22×C3 | — | 3 | 2 | no | — |
| 561 | C22×C3 | — | 9 | 6 | no | — |
| 562 | C22×C3 | — | 36 | 6 | no | — |
| 563 | C22×C3 | C23×D9 | 1 | 3 | yes | — |
| 564 | C22×C3 | C22×D32 | 1 | 3 | yes | — |
| 565 | C2×D3 | — | 3 | 6 | no | — |
| 566 | C2×D3 | — | 9 | 1 | no | — |
| 567 | C2×D3 | — | 9 | 3 | no | — |
| 568 | C2×D3 | — | 9 | 1 | no | — |
| 569 | C2×D3 | — | 9 | 3 | no | — |
| 570 | C2×D3 | — | 12 | 6 | no | — |
| 571 | C2×D3 | — | 18 | 1 | no | — |
| 572 | C2×D3 | — | 18 | 3 | no | — |
| 573 | C2×D3 | — | 36 | 6 | no | — |
| 574 | C2×D3 | — | 36 | 6 | no | — |
| 575 | C2×D3 | — | 36 | 3 | no | — |
| 576 | C2×D3 | — | 36 | 3 | no | — |
| 577 | C2×D3 | — | 36 | 6 | no | — |
| 578 | C2×D3 | C23×D9 | 1 | 2 | yes | — |
| 579 | C3×C4 | — | 2 | 3 | no | — |
| 580 | C3×C4 | — | 2 | 1 | no | — |
| 581 | C3×C4 | — | 3 | 6 | no | — |
| 582 | C3×C4 | — | 9 | 2 | no | — |
| 583 | C3×C4 | C23×D9 | 1 | 3 | yes | — |
| 584 | C3×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 585 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 586 | C3×C4 | C22×D32 | 1 | 3 | yes | — |
| 587 | Dic3 | — | 3 | 2 | no | — |
| 588 | Dic3 | — | 9 | 3 | no | — |
| 589 | Dic3 | — | 9 | 1 | no | — |
| 590 | Dic3 | — | 9 | 3 | no | — |
| 591 | Dic3 | — | 9 | 1 | no | — |
| 592 | Dic3 | — | 18 | 3 | no | — |
| 593 | Dic3 | — | 18 | 1 | no | — |
| 594 | Dic3 | C23×D9 | 1 | 6 | yes | — |
| 595 | C32 | #5968 | 1 | 1 | yes | characteristic |
| 596 | C9 | — | 2 | 1 | no | — |
| 597 | C9 | #5966 | 1 | 1 | yes | characteristic, complemented |
| 598 | C23 | — | 9 | 6 | no | — |
| 599 | C23 | — | 27 | 6 | no | — |
| 600 | C23 | — | 27 | 3 | no | — |
| 601 | Q8 | — | 3 | 6 | no | — |
| 602 | Q8 | — | 3 | 3 | no | — |
| 603 | Q8 | — | 9 | 1 | no | — |
| 604 | Q8 | — | 27 | 6 | no | — |
| 605 | Q8 | — | 27 | 3 | no | — |
| 606 | Q8 | C2×D3×D9 | 1 | 1 | yes | characteristic |
| 607 | D4 | — | 3 | 6 | no | — |
| 608 | D4 | — | 3 | 1 | no | — |
| 609 | D4 | — | 9 | 6 | no | — |
| 610 | D4 | — | 9 | 6 | no | — |
| 611 | D4 | — | 9 | 3 | no | — |
| 612 | D4 | — | 27 | 12 | no | — |
| 613 | D4 | — | 27 | 6 | no | — |
| 614 | D4 | — | 27 | 2 | no | — |
| 615 | D4 | — | 27 | 6 | no | — |
| 616 | D4 | — | 27 | 6 | no | — |
| 617 | D4 | — | 27 | 3 | no | — |
| 618 | D4 | C2×D3×D9 | 1 | 3 | yes | — |
| 619 | C2×C4 | — | 3 | 6 | no | — |
| 620 | C2×C4 | — | 3 | 6 | no | — |
| 621 | C2×C4 | — | 9 | 6 | no | — |
| 622 | C2×C4 | — | 27 | 6 | no | — |
| 623 | C2×C4 | — | 27 | 6 | no | — |
| 624 | C2×C4 | — | 27 | 12 | no | — |
| 625 | C2×C4 | — | 27 | 2 | no | — |
| 626 | C2×C4 | — | 27 | 3 | no | — |
| 627 | C2×C4 | — | 27 | 3 | no | — |
| 628 | C2×C4 | — | 27 | 1 | no | — |
| 629 | C2×C4 | — | 27 | 3 | no | — |
| 630 | C2×C4 | — | 27 | 3 | no | — |
| 631 | C2×C4 | C2×D3×D9 | 1 | 3 | yes | — |
| 632 | C2×C3 | — | 2 | 3 | no | — |
| 633 | C2×C3 | — | 2 | 3 | no | — |
| 634 | C2×C3 | — | 2 | 1 | no | — |
| 635 | C2×C3 | — | 4 | 3 | no | — |
| 636 | C2×C3 | — | 6 | 2 | no | — |
| 637 | C2×C3 | — | 18 | 6 | no | — |
| 638 | C2×C3 | C24×D9 | 1 | 1 | yes | characteristic |
| 639 | C2×C3 | C23×D32 | 1 | 1 | yes | characteristic |
| 640 | D3 | — | 2 | 2 | no | — |
| 641 | D3 | — | 6 | 6 | no | — |
| 642 | D3 | — | 18 | 2 | no | — |
| 643 | D3 | — | 18 | 1 | no | — |
| 644 | D3 | — | 18 | 3 | no | — |
| 645 | D3 | — | 18 | 1 | no | — |
| 646 | D3 | — | 18 | 3 | no | — |
| 647 | D3 | — | 36 | 3 | no | — |
| 648 | C22 | — | 3 | 2 | no | — |
| 649 | C22 | — | 9 | 6 | no | — |
| 650 | C22 | — | 27 | 1 | no | — |
| 651 | C22 | — | 27 | 3 | no | — |
| 652 | C22 | — | 36 | 6 | no | — |
| 653 | C22 | — | 108 | 3 | no | — |
| 654 | C22 | — | 108 | 6 | no | — |
| 655 | C22 | C22×D3×D9 | 1 | 3 | yes | — |
| 656 | C4 | — | 3 | 6 | no | — |
| 657 | C4 | — | 9 | 2 | no | — |
| 658 | C4 | — | 27 | 1 | no | — |
| 659 | C4 | — | 27 | 3 | no | — |
| 660 | C4 | C22×D3×D9 | 1 | 3 | yes | — |
| 661 | C4 | C22×D3×D9 | 1 | 1 | yes | characteristic |
| 662 | C3 | — | 2 | 1 | no | — |
| 663 | C3 | #10593143 | 1 | 1 | yes | characteristic, complemented |
| 664 | C3 | #10596698 | 1 | 1 | yes | characteristic |
| 665 | C2 | — | 2 | 3 | no | — |
| 666 | C2 | — | 6 | 2 | no | — |
| 667 | C2 | — | 18 | 6 | no | — |
| 668 | C2 | — | 54 | 1 | no | — |
| 669 | C2 | — | 54 | 3 | no | — |
| 670 | C2 | C23×D3×D9 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C23×D3×D9 |
| commutator, cosocle | C2×C3×C9 | C25 |
| Frattini | C2×C3 | C23×D32 |
| Fitting | C3×C9×#41 | C22 |
| socle | C2×C32 | C24×D3 |
| hypercenter | #41 | D3×D9 |
| hypocenter | C3×C9 | #585 |
| LCS | G ▷ C2×C3×C9 ▷ C3×C9 | |
| UCS | C1 ◁ C2 ◁ #41 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #41×C3⋊D9 | C2 | semidirect |
| 2. C9×#1010 | C2 | semidirect |
| 3. C3×#63715 | C2 | semidirect |
| 4. D3×#3701 | C2 | semidirect |
| 5. #11722510 | C2 | semidirect |
| 6. #11722501 | C2 | semidirect |
| 7. D9×#237 | C2 | semidirect |
| 8. #11722477 | C2 | semidirect |
| 9. #11722475 | C2 | semidirect |
| 10. #11722458 | C2 | semidirect |
| 11. C2×#88634 | C2 | semidirect |
| 14. C3×C9×#41 | C22 | semidirect |
| 15. #88746 | C22 | semidirect |
| 16. Q8×C3⋊D9 | C22 | semidirect |
| 17. #88742 | C22 | semidirect |
| 18. D4×C3⋊D9 | C22 | semidirect |
| 19. #88736 | C22 | semidirect |
| 20. C2×C4×C3⋊D9 | C22 | semidirect |
| 21. D3×Q8×C9 | C22 | semidirect |
| 22. C3×#3701 | C22 | semidirect |
| 23. C9×#237 | C22 | semidirect |
| 24. C3×D4×D9 | C22 | semidirect |
| 25. C9×#235 | C22 | semidirect |
| 26. C3×#3697 | C22 | semidirect |
| 27. C2×C3×D36 | C22 | semidirect |
| 28. C2×C9×Dic6 | C22 | semidirect |
| 29. #88668 | C22 | semidirect |
| 30. D9×#67 | C22 | semidirect |
| 31. #88663 | C22 | semidirect |
| 32. C2×#6192 | C22 | semidirect |
| 33. #88658 | C22 | semidirect |
| 34. C2×Dic3×D9 | C22 | semidirect |
| 35. #88646 | C22 | semidirect |
| 36. D3×D36 | C22 | semidirect |
| 37. C4×D3×D9 | C22 | semidirect |
| 38. #88641 | C22 | semidirect |
| 39. #88640 | C22 | semidirect |
| 40. #88639 | C22 | semidirect |
| 41. (C3⋊D9)⋊Q8 | C22 | semidirect |
| 42. #88635 | C22 | semidirect |
| 43. #88634 | C22 | semidirect |
| 44. #88634 | C22 | semidirect |
| 45. #88634 | C22 | semidirect |
| 46. #88634 | C22 | semidirect |
| 47. D9×Dic6 | C22 | semidirect |
| 62. #63715 | D3 | semidirect |
| 144. C9×#41 | C2×D3 | semidirect |
| 154. #3701 | C2×D3 | semidirect |
| 168. D4×D9 | C2×D3 | semidirect |
| 174. #3697 | C2×D3 | semidirect |
| 177. C2×D36 | C2×D3 | semidirect |
| 200. #1010 | D9 | semidirect |
| 311. C3×#41 | C2×D9 | semidirect |
| 336. D3×Q8 | C2×D9 | semidirect |
| 349. #237 | C2×D9 | semidirect |
| 369. #235 | C2×D9 | semidirect |
| 380. C2×Dic6 | C2×D9 | semidirect |
| 428. C3×C9 | #585 | semidirect |
| 542. #41 | D3×D9 | semidirect |
| 597. C9 | #5966 | semidirect |
| 663. C3 | #10593143 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×C3⋊D9 | 2 |
| C9×#1010 | 2 |
| C3×#63715 | 2 |
| D3×#3701 | 2 |
| #11722510 | 2 |
| #11722501 | 2 |
| D9×#237 | 2 |
| #11722477 | 2 |
| #11722475 | 2 |
| #11722458 | 2 |
| C2×#88634 | 2 |
| #10596698 | 3 |
| #10593143 | 3 |