Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2982 conjugacy classes of subgroups.
The subgroup lattice has 698 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596697 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10596223 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×D3×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10595448 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10594715 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #10594711 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C2×#63808 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10594691 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10594680 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | D3×#904 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #87210 | — | 3 | 1 | no | maximal |
| 13 | #87163 | — | 3 | 1 | no | maximal |
| 14 | #64366 | C22 | 1 | 2 | yes | complemented |
| 15 | C3×#1010 | C22 | 1 | 2 | yes | complemented |
| 16 | C3×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | D3×#239 | — | 2 | 2 | no | — |
| 18 | #64316 | — | 2 | 2 | no | — |
| 19 | #64314 | — | 2 | 6 | no | — |
| 20 | #64312 | — | 2 | 6 | no | — |
| 21 | #64308 | C22 | 1 | 6 | yes | complemented |
| 22 | D3×#235 | C22 | 1 | 6 | yes | complemented |
| 23 | C2×#3799 | C22 | 1 | 6 | yes | complemented |
| 24 | #64297 | C22 | 1 | 6 | yes | complemented |
| 25 | C32×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #64117 | C22 | 1 | 6 | yes | complemented |
| 27 | #64113 | C22 | 1 | 3 | yes | complemented |
| 28 | C2×#3745 | C22 | 1 | 3 | yes | complemented |
| 29 | C3×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×#909 | C22 | 1 | 6 | yes | complemented |
| 31 | C3×#907 | C22 | 1 | 3 | yes | complemented |
| 32 | C3×D3×M16 | C22 | 1 | 3 | yes | complemented |
| 33 | C2×C3×Dic12 | C22 | 1 | 3 | yes | complemented |
| 34 | C3×#904 | C22 | 1 | 3 | yes | complemented |
| 35 | C3×#901 | C22 | 1 | 3 | yes | complemented |
| 36 | C2×C3×D3×C8 | C22 | 1 | 3 | yes | complemented |
| 37 | #63833 | C22 | 1 | 6 | yes | complemented |
| 38 | C2×#3717 | C22 | 1 | 6 | yes | complemented |
| 39 | #63829 | C22 | 1 | 6 | yes | complemented |
| 40 | #63825 | C22 | 1 | 6 | yes | complemented |
| 41 | #63808 | C22 | 1 | 3 | yes | complemented |
| 42 | #63808 | C22 | 1 | 6 | yes | complemented |
| 43 | #63808 | C22 | 1 | 6 | yes | complemented |
| 44 | #63808 | C22 | 1 | 6 | yes | complemented |
| 45 | #63807 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #63806 | C22 | 1 | 6 | yes | complemented |
| 47 | #63801 | C22 | 1 | 12 | yes | complemented |
| 48 | D3×Dic12 | C22 | 1 | 3 | yes | complemented |
| 49 | #63794 | C22 | 1 | 12 | yes | complemented |
| 50 | D3×D24 | C22 | 1 | 3 | yes | complemented |
| 51 | D3×#204 | C22 | 1 | 6 | yes | complemented |
| 52 | #5968 | — | 3 | 2 | no | — |
| 53 | #5964 | — | 3 | 2 | no | — |
| 54 | C3×#578 | — | 3 | 1 | no | — |
| 55 | C2×C3×#131 | — | 3 | 1 | no | — |
| 56 | #5837 | — | 3 | 2 | no | — |
| 57 | #5778 | — | 3 | 6 | no | — |
| 58 | #5777 | — | 3 | 6 | no | — |
| 59 | #5769 | — | 3 | 3 | no | — |
| 60 | D3×#135 | — | 3 | 3 | no | — |
| 61 | #5766 | — | 3 | 3 | no | — |
| 62 | C2×#919 | — | 3 | 3 | no | — |
| 63 | #5753 | — | 3 | 3 | no | — |
| 64 | #5753 | D3 | 1 | 1 | yes | characteristic, complemented |
| 65 | #5752 | — | 3 | 1 | no | — |
| 66 | #5752 | — | 3 | 1 | no | — |
| 67 | #5752 | — | 3 | 3 | no | — |
| 68 | #5752 | — | 6 | 1 | no | — |
| 69 | #5751 | — | 3 | 2 | no | — |
| 70 | #5751 | — | 3 | 6 | no | — |
| 71 | D3×#131 | D3 | 1 | 1 | yes | characteristic, complemented |
| 72 | #5748 | — | 3 | 6 | no | — |
| 73 | C2×#904 | — | 3 | 3 | no | — |
| 74 | C2×#904 | — | 3 | 3 | no | — |
| 75 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 76 | #3832 | — | 2 | 2 | no | — |
| 77 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 78 | #3828 | C23 | 1 | 6 | yes | — |
| 79 | C2×C4⋊(C3⋊D3) | C23 | 1 | 6 | yes | — |
| 80 | C3×#239 | D4 | 1 | 1 | yes | characteristic |
| 81 | C3×D3×Q8 | — | 2 | 2 | no | — |
| 82 | C3×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 83 | C3×#237 | — | 2 | 6 | no | — |
| 84 | C3×#237 | D4 | 1 | 3 | yes | — |
| 85 | C3×D3×D4 | D4 | 1 | 3 | yes | — |
| 86 | C3×#235 | C23 | 1 | 3 | yes | — |
| 87 | C3×#235 | C23 | 1 | 6 | yes | — |
| 88 | C2×C3×C4×D3 | C23 | 1 | 3 | yes | — |
| 89 | C2×C3×Dic6 | C23 | 1 | 6 | yes | — |
| 90 | #3811 | — | 2 | 12 | no | — |
| 91 | D3×#67 | — | 2 | 6 | no | — |
| 92 | C2×#626 | — | 2 | 6 | no | — |
| 93 | C2×#624 | — | 2 | 6 | no | — |
| 94 | #3804 | — | 2 | 12 | no | — |
| 95 | #3804 | — | 2 | 6 | no | — |
| 96 | D3×D12 | — | 2 | 6 | no | — |
| 97 | D3×D12 | C23 | 1 | 6 | yes | — |
| 98 | C4×D32 | — | 2 | 6 | no | — |
| 99 | #3799 | — | 2 | 6 | no | — |
| 100 | #3799 | — | 2 | 6 | no | — |
| 101 | #3799 | — | 2 | 6 | no | — |
| 102 | #3799 | C23 | 1 | 12 | yes | — |
| 103 | #3799 | C23 | 1 | 6 | yes | — |
| 104 | #3798 | — | 2 | 6 | no | — |
| 105 | #3797 | — | 2 | 6 | no | — |
| 106 | #3796 | — | 2 | 6 | no | — |
| 107 | #3795 | C23 | 1 | 2 | yes | — |
| 108 | D3×Dic6 | C23 | 1 | 6 | yes | — |
| 109 | C32×M16 | C23 | 1 | 3 | yes | — |
| 110 | C2×C32×C8 | C23 | 1 | 3 | yes | — |
| 111 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 112 | #3745 | C23 | 1 | 3 | yes | — |
| 113 | #3745 | C23 | 1 | 6 | yes | — |
| 114 | #3744 | C23 | 1 | 6 | yes | — |
| 115 | C3×#208 | C23 | 1 | 3 | yes | — |
| 116 | C2×C3×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 117 | C3×Dic12 | C23 | 1 | 3 | yes | — |
| 118 | C3×Dic12 | C23 | 1 | 6 | yes | — |
| 119 | C3×D24 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×#204 | C23 | 1 | 6 | yes | — |
| 121 | C3×ΓL(1,𝔽25) | C23 | 1 | 6 | yes | — |
| 122 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C3×D3×C8 | C23 | 1 | 3 | yes | — |
| 124 | C3×D3×C8 | C23 | 1 | 3 | yes | — |
| 125 | C3×D3×C8 | C23 | 1 | 3 | yes | — |
| 126 | #3719 | C23 | 1 | 6 | yes | — |
| 127 | #3717 | C23 | 1 | 6 | yes | — |
| 128 | #3717 | C23 | 1 | 12 | yes | — |
| 129 | #3716 | C23 | 1 | 2 | yes | — |
| 130 | #3714 | C23 | 1 | 6 | yes | — |
| 131 | #3584 | — | 9 | 1 | no | Sylow |
| 132 | C3×2−1+4 | — | 3 | 2 | no | — |
| 133 | C2×C3×#41 | — | 3 | 1 | no | — |
| 134 | #1010 | — | 3 | 6 | no | — |
| 135 | #1010 | C2×D3 | 1 | 2 | yes | complemented |
| 136 | #1009 | — | 3 | 2 | no | — |
| 137 | #1009 | — | 3 | 2 | no | — |
| 138 | #1009 | — | 3 | 6 | no | — |
| 139 | #1009 | — | 3 | 6 | no | — |
| 140 | #1009 | — | 6 | 2 | no | — |
| 141 | #1009 | — | 6 | 6 | no | — |
| 142 | D3×#41 | — | 3 | 6 | no | — |
| 143 | D3×#41 | — | 6 | 6 | no | — |
| 144 | D3×#41 | — | 6 | 2 | no | — |
| 145 | D3×#41 | — | 6 | 6 | no | — |
| 146 | D3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | #1007 | — | 3 | 6 | no | — |
| 148 | #1007 | — | 6 | 2 | no | — |
| 149 | #1007 | — | 6 | 2 | no | — |
| 150 | C2×#239 | — | 3 | 6 | no | — |
| 151 | C2×#239 | — | 6 | 2 | no | — |
| 152 | #1004 | — | 6 | 6 | no | — |
| 153 | C2×#235 | — | 3 | 6 | no | — |
| 154 | C2×#235 | — | 3 | 6 | no | — |
| 155 | C3×#137 | — | 3 | 6 | no | — |
| 156 | C3×#135 | — | 3 | 3 | no | — |
| 157 | C2×C3×Q16 | — | 3 | 3 | no | — |
| 158 | C3×#131 | — | 2 | 1 | no | — |
| 159 | C3×#131 | — | 3 | 1 | no | — |
| 160 | C3×#131 | — | 3 | 3 | no | — |
| 161 | C3×#131 | — | 3 | 3 | no | — |
| 162 | C3×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 163 | C3×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 164 | C2×C3×M16 | — | 3 | 3 | no | — |
| 165 | C22×C3×C8 | — | 3 | 3 | no | — |
| 166 | #950 | — | 3 | 6 | no | — |
| 167 | #949 | — | 3 | 6 | no | — |
| 168 | #948 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 169 | #942 | — | 3 | 6 | no | — |
| 170 | C2×#215 | — | 3 | 6 | no | — |
| 171 | #919 | — | 3 | 3 | no | — |
| 172 | #919 | — | 3 | 6 | no | — |
| 173 | #919 | — | 3 | 6 | no | — |
| 174 | #919 | — | 3 | 6 | no | — |
| 175 | #918 | — | 3 | 12 | no | — |
| 176 | D3×Q16 | — | 3 | 3 | no | — |
| 177 | #916 | — | 3 | 6 | no | — |
| 178 | #914 | — | 3 | 12 | no | — |
| 179 | D3×SD16 | — | 3 | 6 | no | — |
| 180 | #912 | — | 3 | 1 | no | — |
| 181 | D3×D8 | — | 3 | 3 | no | — |
| 182 | #909 | — | 3 | 6 | no | — |
| 183 | #909 | — | 3 | 12 | no | — |
| 184 | #909 | C2×D3 | 1 | 6 | yes | complemented |
| 185 | #908 | — | 3 | 6 | no | — |
| 186 | #908 | — | 3 | 6 | no | — |
| 187 | #908 | — | 3 | 6 | no | — |
| 188 | #908 | — | 3 | 12 | no | — |
| 189 | #908 | — | 6 | 6 | no | — |
| 190 | #907 | C2×D3 | 1 | 3 | yes | complemented |
| 191 | D3×M16 | C2×D3 | 1 | 3 | yes | complemented |
| 192 | C2×Dic12 | — | 3 | 3 | no | — |
| 193 | C2×Dic12 | C2×D3 | 1 | 3 | yes | complemented |
| 194 | #904 | — | 3 | 6 | no | — |
| 195 | #904 | — | 3 | 3 | no | — |
| 196 | #904 | — | 3 | 3 | no | — |
| 197 | #904 | — | 3 | 3 | no | — |
| 198 | #904 | — | 3 | 6 | no | — |
| 199 | #904 | — | 3 | 6 | no | — |
| 200 | #904 | — | 3 | 6 | no | — |
| 201 | #904 | — | 3 | 1 | no | — |
| 202 | #904 | — | 3 | 6 | no | — |
| 203 | #904 | — | 6 | 3 | no | — |
| 204 | #904 | C2×D3 | 1 | 3 | yes | complemented |
| 205 | C2×D24 | — | 3 | 3 | no | — |
| 206 | C2×D24 | — | 3 | 3 | no | — |
| 207 | C2×D24 | — | 3 | 3 | no | — |
| 208 | C2×D24 | — | 6 | 3 | no | — |
| 209 | C2×#204 | — | 3 | 6 | no | — |
| 210 | C2×#204 | — | 3 | 6 | no | — |
| 211 | #901 | C2×D3 | 1 | 3 | yes | complemented |
| 212 | C2×D3×C8 | C2×D3 | 1 | 3 | yes | complemented |
| 213 | C22×C3⋊D3 | — | 2 | 6 | no | — |
| 214 | C22×C3×D3 | C2×D4 | 1 | 3 | yes | — |
| 215 | C2×D32 | — | 2 | 6 | no | — |
| 216 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C32×D4 | C2×D4 | 1 | 3 | yes | — |
| 218 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 219 | #638 | — | 2 | 6 | no | — |
| 220 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 221 | C4⋊(C3⋊D3) | C24 | 1 | 6 | yes | — |
| 222 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 223 | #634 | C24 | 1 | 2 | yes | — |
| 224 | C3×#67 | — | 2 | 6 | no | — |
| 225 | C3×#67 | C2×D4 | 1 | 6 | yes | — |
| 226 | C2×C3×Dic3 | — | 2 | 6 | no | — |
| 227 | C2×C3×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 228 | C3×D12 | C2×D4 | 1 | 3 | yes | — |
| 229 | C3×D12 | C24 | 1 | 2 | yes | — |
| 230 | C3×C4×D3 | — | 2 | 6 | no | — |
| 231 | C3×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 232 | C3×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 233 | C3×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 234 | C3×C4×D3 | C24 | 1 | 3 | yes | — |
| 235 | C3×Dic6 | — | 2 | 6 | no | — |
| 236 | C3×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 237 | C3×Dic6 | C24 | 1 | 6 | yes | — |
| 238 | #627 | — | 2 | 6 | no | — |
| 239 | #626 | — | 2 | 12 | no | — |
| 240 | #626 | — | 2 | 6 | no | — |
| 241 | #626 | — | 2 | 6 | no | — |
| 242 | #625 | — | 2 | 2 | no | — |
| 243 | #624 | — | 2 | 12 | no | — |
| 244 | #624 | — | 2 | 6 | no | — |
| 245 | D3×Dic3 | — | 2 | 6 | no | — |
| 246 | D3×Dic3 | — | 2 | 2 | no | — |
| 247 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 248 | C32×C8 | C24 | 1 | 3 | yes | — |
| 249 | C3×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 250 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 251 | #585 | — | 9 | 2 | no | — |
| 252 | #578 | — | 3 | 1 | no | — |
| 253 | #578 | — | 9 | 3 | no | — |
| 254 | #577 | — | 9 | 6 | no | — |
| 255 | #577 | — | 9 | 2 | no | — |
| 256 | #576 | — | 9 | 3 | no | — |
| 257 | #576 | — | 9 | 1 | no | — |
| 258 | #575 | — | 9 | 6 | no | — |
| 259 | C2×#135 | — | 9 | 3 | no | — |
| 260 | C2×#135 | — | 9 | 3 | no | — |
| 261 | C2×#131 | — | 3 | 1 | no | — |
| 262 | C3×#41 | — | 2 | 1 | no | — |
| 263 | C3×#41 | — | 3 | 1 | no | — |
| 264 | C3×#41 | — | 3 | 3 | no | — |
| 265 | C3×#41 | — | 3 | 3 | no | — |
| 266 | C3×#41 | — | 3 | 6 | no | — |
| 267 | C3×#41 | — | 6 | 6 | no | — |
| 268 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 269 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 270 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 271 | C2×C3×Q8 | — | 3 | 6 | no | — |
| 272 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 273 | C2×C3×D4 | — | 3 | 3 | no | — |
| 274 | C22×C3×C4 | — | 3 | 3 | no | — |
| 275 | C2×#67 | — | 6 | 6 | no | — |
| 276 | C2×#67 | — | 6 | 6 | no | — |
| 277 | #239 | — | 3 | 12 | no | — |
| 278 | #239 | — | 3 | 6 | no | — |
| 279 | #239 | — | 6 | 6 | no | — |
| 280 | #239 | — | 6 | 2 | no | — |
| 281 | #239 | — | 6 | 2 | no | — |
| 282 | #239 | — | 6 | 6 | no | — |
| 283 | #239 | — | 6 | 6 | no | — |
| 284 | #239 | — | 6 | 6 | no | — |
| 285 | #239 | — | 12 | 2 | no | — |
| 286 | #239 | D12 | 1 | 1 | yes | characteristic |
| 287 | D3×Q8 | — | 2 | 2 | no | — |
| 288 | D3×Q8 | — | 3 | 6 | no | — |
| 289 | D3×Q8 | — | 6 | 6 | no | — |
| 290 | D3×Q8 | — | 6 | 6 | no | — |
| 291 | D3×Q8 | D12 | 1 | 1 | yes | characteristic |
| 292 | #237 | — | 2 | 6 | no | — |
| 293 | #237 | — | 3 | 2 | no | — |
| 294 | #237 | — | 6 | 6 | no | — |
| 295 | #237 | — | 6 | 12 | no | — |
| 296 | #237 | — | 6 | 6 | no | — |
| 297 | #237 | D12 | 1 | 3 | yes | — |
| 298 | D3×D4 | — | 3 | 6 | no | — |
| 299 | D3×D4 | — | 6 | 6 | no | — |
| 300 | D3×D4 | — | 6 | 12 | no | — |
| 301 | D3×D4 | — | 6 | 6 | no | — |
| 302 | D3×D4 | — | 6 | 6 | no | — |
| 303 | D3×D4 | — | 6 | 6 | no | — |
| 304 | D3×D4 | — | 6 | 12 | no | — |
| 305 | D3×D4 | — | 12 | 6 | no | — |
| 306 | D3×D4 | D12 | 1 | 3 | yes | — |
| 307 | #235 | — | 3 | 6 | no | — |
| 308 | #235 | — | 3 | 6 | no | — |
| 309 | #235 | — | 3 | 2 | no | — |
| 310 | #235 | — | 3 | 6 | no | — |
| 311 | #235 | — | 3 | 12 | no | — |
| 312 | #235 | — | 6 | 6 | no | — |
| 313 | #235 | — | 6 | 6 | no | — |
| 314 | #235 | — | 6 | 6 | no | — |
| 315 | #235 | — | 6 | 6 | no | — |
| 316 | #235 | — | 6 | 6 | no | — |
| 317 | #235 | — | 6 | 12 | no | — |
| 318 | #235 | — | 6 | 6 | no | — |
| 319 | #235 | — | 6 | 6 | no | — |
| 320 | #235 | C22×D3 | 1 | 3 | yes | — |
| 321 | #235 | C22×D3 | 1 | 6 | yes | — |
| 322 | C2×D12 | — | 3 | 6 | no | — |
| 323 | C2×D12 | — | 3 | 6 | no | — |
| 324 | C2×D12 | — | 3 | 6 | no | — |
| 325 | C2×D12 | — | 6 | 6 | no | — |
| 326 | C2×D12 | — | 6 | 6 | no | — |
| 327 | C2×D12 | — | 6 | 6 | no | — |
| 328 | C2×C4×D3 | — | 6 | 6 | no | — |
| 329 | C2×C4×D3 | — | 6 | 6 | no | — |
| 330 | C2×C4×D3 | — | 6 | 6 | no | — |
| 331 | C2×C4×D3 | — | 6 | 6 | no | — |
| 332 | C2×C4×D3 | C22×D3 | 1 | 3 | yes | — |
| 333 | C2×Dic6 | — | 3 | 6 | no | — |
| 334 | C2×Dic6 | C22×D3 | 1 | 6 | yes | — |
| 335 | C3×Q16 | — | 3 | 3 | no | — |
| 336 | C3×Q16 | — | 3 | 6 | no | — |
| 337 | C3×SD16 | — | 3 | 6 | no | — |
| 338 | C3×D8 | — | 3 | 1 | no | — |
| 339 | C3×M16 | — | 2 | 3 | no | — |
| 340 | C3×M16 | — | 3 | 3 | no | — |
| 341 | C3×M16 | — | 3 | 6 | no | — |
| 342 | C3×M16 | C22×D3 | 1 | 3 | yes | — |
| 343 | C3×M16 | C22×D3 | 1 | 3 | yes | — |
| 344 | C2×C3×C8 | — | 2 | 3 | no | — |
| 345 | C2×C3×C8 | — | 3 | 3 | no | — |
| 346 | C2×C3×C8 | — | 3 | 3 | no | — |
| 347 | C2×C3×C8 | — | 3 | 3 | no | — |
| 348 | C2×C3×C8 | — | 3 | 1 | no | — |
| 349 | C2×C3×C8 | — | 3 | 3 | no | — |
| 350 | C2×C3×C8 | C22×D3 | 1 | 3 | yes | — |
| 351 | C2×C3×C8 | C22×D3 | 1 | 3 | yes | — |
| 352 | #216 | — | 3 | 6 | no | — |
| 353 | #215 | — | 3 | 6 | no | — |
| 354 | #215 | — | 3 | 12 | no | — |
| 355 | #214 | — | 3 | 2 | no | — |
| 356 | #213 | — | 3 | 6 | no | — |
| 357 | #208 | C22×D3 | 1 | 3 | yes | — |
| 358 | C2×C3⋊C8 | C22×D3 | 1 | 3 | yes | — |
| 359 | Dic12 | — | 3 | 6 | no | — |
| 360 | Dic12 | — | 3 | 1 | no | — |
| 361 | Dic12 | — | 3 | 1 | no | — |
| 362 | Dic12 | — | 6 | 1 | no | — |
| 363 | Dic12 | C22×D3 | 1 | 3 | yes | — |
| 364 | Dic12 | C22×D3 | 1 | 6 | yes | — |
| 365 | D24 | — | 3 | 6 | no | — |
| 366 | D24 | — | 3 | 3 | no | — |
| 367 | D24 | — | 3 | 3 | no | — |
| 368 | D24 | — | 3 | 6 | no | — |
| 369 | D24 | — | 3 | 6 | no | — |
| 370 | D24 | — | 6 | 3 | no | — |
| 371 | D24 | — | 6 | 6 | no | — |
| 372 | D24 | C22×D3 | 1 | 1 | yes | characteristic |
| 373 | #204 | — | 3 | 2 | no | — |
| 374 | #204 | — | 3 | 6 | no | — |
| 375 | #204 | — | 3 | 12 | no | — |
| 376 | #204 | — | 3 | 6 | no | — |
| 377 | #204 | — | 3 | 6 | no | — |
| 378 | #204 | — | 6 | 6 | no | — |
| 379 | #204 | C22×D3 | 1 | 6 | yes | — |
| 380 | ΓL(1,𝔽25) | C22×D3 | 1 | 6 | yes | — |
| 381 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 382 | D3×C8 | C22×D3 | 1 | 3 | yes | — |
| 383 | D3×C8 | C22×D3 | 1 | 3 | yes | — |
| 384 | D3×C8 | C22×D3 | 1 | 3 | yes | — |
| 385 | C22×C32 | C22×D4 | 1 | 3 | yes | — |
| 386 | C2×C3⋊D3 | — | 2 | 6 | no | — |
| 387 | C2×C3⋊D3 | — | 8 | 6 | no | — |
| 388 | C2×C3×D3 | — | 2 | 2 | no | — |
| 389 | C2×C3×D3 | — | 4 | 3 | no | — |
| 390 | C2×C3×D3 | C22×D4 | 1 | 3 | yes | — |
| 391 | C2×C3×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 392 | D32 | — | 8 | 6 | no | — |
| 393 | C32×C4 | C22×D4 | 1 | 3 | yes | — |
| 394 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 395 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 396 | C3×Dic3 | — | 2 | 6 | no | — |
| 397 | C3×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 398 | C3×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 399 | 2−1+4 | — | 3 | 2 | no | — |
| 400 | 2−1+4 | — | 9 | 6 | no | — |
| 401 | 2−1+4 | — | 18 | 2 | no | — |
| 402 | H(5,𝔽2) | — | 9 | 6 | no | — |
| 403 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 404 | H(5,𝔽2) | — | 18 | 6 | no | — |
| 405 | C2×#41 | — | 3 | 1 | no | — |
| 406 | C2×#41 | — | 9 | 6 | no | — |
| 407 | C2×#41 | — | 9 | 6 | no | — |
| 408 | C2×#41 | — | 18 | 2 | no | — |
| 409 | C2×#41 | — | 18 | 6 | no | — |
| 410 | #137 | — | 3 | 6 | no | — |
| 411 | #137 | — | 9 | 12 | no | — |
| 412 | #137 | — | 9 | 6 | no | — |
| 413 | AGL(1,ℤ/8) | — | 9 | 12 | no | — |
| 414 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 415 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 416 | #135 | — | 3 | 3 | no | — |
| 417 | #135 | — | 9 | 1 | no | — |
| 418 | #135 | — | 9 | 6 | no | — |
| 419 | #135 | — | 9 | 3 | no | — |
| 420 | #135 | — | 9 | 6 | no | — |
| 421 | #135 | — | 9 | 6 | no | — |
| 422 | #135 | — | 9 | 6 | no | — |
| 423 | #135 | — | 9 | 6 | no | — |
| 424 | #135 | — | 9 | 3 | no | — |
| 425 | C2×Q16 | — | 3 | 3 | no | — |
| 426 | C2×Q16 | — | 9 | 3 | no | — |
| 427 | C2×SD16 | — | 9 | 6 | no | — |
| 428 | C2×SD16 | — | 9 | 6 | no | — |
| 429 | C2×D8 | — | 9 | 3 | no | — |
| 430 | C2×D8 | — | 9 | 3 | no | — |
| 431 | #131 | — | 3 | 1 | no | — |
| 432 | #131 | — | 3 | 3 | no | — |
| 433 | #131 | — | 3 | 3 | no | — |
| 434 | #131 | D32 | 1 | 1 | yes | characteristic, complemented |
| 435 | C2×M16 | — | 3 | 3 | no | — |
| 436 | C22×C8 | — | 3 | 3 | no | — |
| 437 | C23×C3 | — | 3 | 3 | no | — |
| 438 | C22×D3 | — | 6 | 6 | no | — |
| 439 | C22×D3 | — | 6 | 6 | no | — |
| 440 | C22×D3 | — | 6 | 6 | no | — |
| 441 | C22×D3 | — | 6 | 6 | no | — |
| 442 | C22×D3 | — | 12 | 6 | no | — |
| 443 | C22×D3 | C2×D12 | 1 | 3 | yes | — |
| 444 | C3×Q8 | — | 2 | 1 | no | — |
| 445 | C3×Q8 | — | 3 | 3 | no | — |
| 446 | C3×Q8 | — | 3 | 6 | no | — |
| 447 | C3×Q8 | — | 6 | 6 | no | — |
| 448 | C3×Q8 | C2×D12 | 1 | 1 | yes | characteristic |
| 449 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 450 | C3×D4 | — | 2 | 3 | no | — |
| 451 | C3×D4 | — | 3 | 6 | no | — |
| 452 | C3×D4 | — | 3 | 3 | no | — |
| 453 | C3×D4 | — | 3 | 2 | no | — |
| 454 | C3×D4 | — | 6 | 6 | no | — |
| 455 | C3×D4 | C2×D12 | 1 | 3 | yes | — |
| 456 | C3×D4 | D3×D4 | 1 | 3 | yes | — |
| 457 | C2×C3×C4 | — | 2 | 3 | no | — |
| 458 | C2×C3×C4 | — | 3 | 3 | no | — |
| 459 | C2×C3×C4 | — | 3 | 3 | no | — |
| 460 | C2×C3×C4 | — | 3 | 3 | no | — |
| 461 | C2×C3×C4 | — | 3 | 1 | no | — |
| 462 | C2×C3×C4 | — | 3 | 3 | no | — |
| 463 | C2×C3×C4 | — | 6 | 6 | no | — |
| 464 | C2×C3×C4 | — | 6 | 6 | no | — |
| 465 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 466 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 467 | #67 | — | 2 | 6 | no | — |
| 468 | #67 | — | 6 | 6 | no | — |
| 469 | #67 | — | 6 | 12 | no | — |
| 470 | #67 | — | 6 | 2 | no | — |
| 471 | #67 | — | 6 | 6 | no | — |
| 472 | #67 | — | 6 | 6 | no | — |
| 473 | #67 | — | 6 | 2 | no | — |
| 474 | #67 | — | 6 | 6 | no | — |
| 475 | #67 | — | 12 | 6 | no | — |
| 476 | #67 | C2×D12 | 1 | 6 | yes | — |
| 477 | C2×Dic3 | — | 2 | 6 | no | — |
| 478 | C2×Dic3 | — | 6 | 6 | no | — |
| 479 | C2×Dic3 | — | 6 | 2 | no | — |
| 480 | C2×Dic3 | C2×D12 | 1 | 3 | yes | — |
| 481 | D12 | — | 3 | 6 | no | — |
| 482 | D12 | — | 3 | 6 | no | — |
| 483 | D12 | — | 6 | 6 | no | — |
| 484 | D12 | — | 6 | 6 | no | — |
| 485 | D12 | — | 6 | 12 | no | — |
| 486 | D12 | — | 6 | 6 | no | — |
| 487 | D12 | — | 6 | 6 | no | — |
| 488 | D12 | — | 6 | 6 | no | — |
| 489 | D12 | — | 12 | 6 | no | — |
| 490 | D12 | C2×D12 | 1 | 3 | yes | — |
| 491 | D12 | C23×D3 | 1 | 2 | yes | — |
| 492 | C4×D3 | — | 2 | 6 | no | — |
| 493 | C4×D3 | — | 6 | 6 | no | — |
| 494 | C4×D3 | — | 6 | 12 | no | — |
| 495 | C4×D3 | — | 6 | 2 | no | — |
| 496 | C4×D3 | — | 6 | 6 | no | — |
| 497 | C4×D3 | — | 6 | 6 | no | — |
| 498 | C4×D3 | — | 6 | 6 | no | — |
| 499 | C4×D3 | — | 6 | 6 | no | — |
| 500 | C4×D3 | — | 6 | 12 | no | — |
| 501 | C4×D3 | — | 12 | 6 | no | — |
| 502 | C4×D3 | C2×D12 | 1 | 3 | yes | — |
| 503 | C4×D3 | C2×D12 | 1 | 3 | yes | — |
| 504 | C4×D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 505 | C4×D3 | C23×D3 | 1 | 3 | yes | — |
| 506 | Dic6 | — | 2 | 6 | no | — |
| 507 | Dic6 | — | 3 | 2 | no | — |
| 508 | Dic6 | — | 3 | 2 | no | — |
| 509 | Dic6 | — | 6 | 2 | no | — |
| 510 | Dic6 | — | 6 | 6 | no | — |
| 511 | Dic6 | — | 6 | 6 | no | — |
| 512 | Dic6 | C2×D12 | 1 | 3 | yes | — |
| 513 | Dic6 | C23×D3 | 1 | 6 | yes | — |
| 514 | C3×C8 | — | 2 | 3 | no | — |
| 515 | C3×C8 | — | 2 | 1 | no | — |
| 516 | C3×C8 | — | 3 | 1 | no | — |
| 517 | C3×C8 | — | 3 | 3 | no | — |
| 518 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 519 | C3×C8 | C23×D3 | 1 | 3 | yes | — |
| 520 | C3×C8 | C23×D3 | 1 | 3 | yes | — |
| 521 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 522 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 523 | C3⋊C8 | C23×D3 | 1 | 3 | yes | — |
| 524 | C2×C32 | — | 2 | 3 | no | — |
| 525 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 526 | C3⋊D3 | — | 4 | 6 | no | — |
| 527 | C3×D3 | — | 2 | 3 | no | — |
| 528 | C3×D3 | — | 2 | 1 | no | — |
| 529 | C3×D3 | — | 4 | 2 | no | — |
| 530 | #41 | — | 3 | 1 | no | — |
| 531 | #41 | — | 3 | 3 | no | — |
| 532 | #41 | — | 3 | 3 | no | — |
| 533 | #41 | — | 3 | 6 | no | — |
| 534 | #41 | — | 6 | 6 | no | — |
| 535 | #41 | — | 9 | 2 | no | — |
| 536 | #41 | — | 9 | 6 | no | — |
| 537 | #41 | — | 9 | 12 | no | — |
| 538 | #41 | — | 9 | 6 | no | — |
| 539 | #41 | — | 18 | 6 | no | — |
| 540 | #41 | — | 18 | 6 | no | — |
| 541 | #41 | — | 18 | 6 | no | — |
| 542 | #41 | — | 18 | 6 | no | — |
| 543 | #41 | — | 18 | 12 | no | — |
| 544 | #41 | — | 18 | 6 | no | — |
| 545 | #41 | — | 18 | 6 | no | — |
| 546 | #41 | — | 18 | 2 | no | — |
| 547 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 548 | C2×Q8 | — | 3 | 1 | no | — |
| 549 | C2×Q8 | — | 3 | 6 | no | — |
| 550 | C2×Q8 | — | 6 | 2 | no | — |
| 551 | C2×Q8 | — | 9 | 6 | no | — |
| 552 | C2×Q8 | — | 18 | 6 | no | — |
| 553 | C2×D4 | — | 3 | 3 | no | — |
| 554 | C2×D4 | — | 9 | 6 | no | — |
| 555 | C2×D4 | — | 9 | 6 | no | — |
| 556 | C2×D4 | — | 18 | 6 | no | — |
| 557 | C2×D4 | — | 18 | 6 | no | — |
| 558 | C2×D4 | — | 18 | 12 | no | — |
| 559 | C2×D4 | — | 18 | 6 | no | — |
| 560 | C2×D4 | — | 18 | 6 | no | — |
| 561 | C22×C4 | — | 3 | 3 | no | — |
| 562 | C22×C4 | — | 18 | 6 | no | — |
| 563 | C22×C4 | — | 18 | 6 | no | — |
| 564 | Q16 | — | 3 | 3 | no | — |
| 565 | Q16 | — | 3 | 6 | no | — |
| 566 | Q16 | — | 9 | 6 | no | — |
| 567 | Q16 | — | 9 | 1 | no | — |
| 568 | SD16 | — | 3 | 6 | no | — |
| 569 | SD16 | — | 9 | 2 | no | — |
| 570 | SD16 | — | 9 | 6 | no | — |
| 571 | SD16 | — | 9 | 12 | no | — |
| 572 | SD16 | — | 9 | 6 | no | — |
| 573 | D8 | — | 3 | 1 | no | — |
| 574 | D8 | — | 9 | 6 | no | — |
| 575 | D8 | — | 9 | 3 | no | — |
| 576 | D8 | — | 9 | 6 | no | — |
| 577 | M16 | — | 3 | 3 | no | — |
| 578 | M16 | — | 3 | 6 | no | — |
| 579 | M16 | C2×D32 | 1 | 3 | yes | — |
| 580 | C2×C8 | — | 3 | 3 | no | — |
| 581 | C2×C8 | — | 3 | 1 | no | — |
| 582 | C2×C8 | — | 3 | 3 | no | — |
| 583 | C2×C8 | — | 3 | 3 | no | — |
| 584 | C2×C8 | — | 3 | 3 | no | — |
| 585 | C2×C8 | C2×D32 | 1 | 3 | yes | — |
| 586 | C22×C3 | — | 2 | 3 | no | — |
| 587 | C22×C3 | — | 3 | 3 | no | — |
| 588 | C22×C3 | — | 3 | 1 | no | — |
| 589 | C22×C3 | — | 6 | 2 | no | — |
| 590 | C22×C3 | — | 12 | 3 | no | — |
| 591 | C22×C3 | C22×D12 | 1 | 3 | yes | — |
| 592 | C22×C3 | C2×D3×D4 | 1 | 3 | yes | — |
| 593 | C2×D3 | — | 2 | 2 | no | — |
| 594 | C2×D3 | — | 4 | 3 | no | — |
| 595 | C2×D3 | — | 6 | 6 | no | — |
| 596 | C2×D3 | — | 6 | 6 | no | — |
| 597 | C2×D3 | — | 12 | 6 | no | — |
| 598 | C2×D3 | — | 24 | 6 | no | — |
| 599 | C2×D3 | — | 24 | 6 | no | — |
| 600 | C2×D3 | — | 24 | 6 | no | — |
| 601 | C2×D3 | — | 24 | 6 | no | — |
| 602 | C2×D3 | — | 48 | 6 | no | — |
| 603 | C2×D3 | C22×D12 | 1 | 3 | yes | — |
| 604 | C2×D3 | C22×D12 | 1 | 1 | yes | characteristic |
| 605 | C3×C4 | — | 2 | 3 | no | — |
| 606 | C3×C4 | — | 2 | 1 | no | — |
| 607 | C3×C4 | — | 3 | 3 | no | — |
| 608 | C3×C4 | — | 3 | 1 | no | — |
| 609 | C3×C4 | — | 6 | 6 | no | — |
| 610 | C3×C4 | C22×D12 | 1 | 3 | yes | — |
| 611 | C3×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 612 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 613 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 614 | Dic3 | — | 2 | 6 | no | — |
| 615 | Dic3 | — | 6 | 2 | no | — |
| 616 | Dic3 | — | 6 | 2 | no | — |
| 617 | Dic3 | — | 12 | 2 | no | — |
| 618 | Dic3 | C22×D12 | 1 | 3 | yes | — |
| 619 | Dic3 | C22×D12 | 1 | 1 | yes | characteristic |
| 620 | C32 | #3584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 621 | C23 | — | 3 | 3 | no | — |
| 622 | C23 | — | 18 | 6 | no | — |
| 623 | C23 | — | 18 | 6 | no | — |
| 624 | Q8 | — | 3 | 3 | no | — |
| 625 | Q8 | — | 3 | 6 | no | — |
| 626 | Q8 | — | 6 | 6 | no | — |
| 627 | Q8 | — | 9 | 2 | no | — |
| 628 | Q8 | — | 18 | 6 | no | — |
| 629 | Q8 | D3×D12 | 1 | 1 | yes | characteristic |
| 630 | D4 | — | 3 | 6 | no | — |
| 631 | D4 | — | 3 | 3 | no | — |
| 632 | D4 | — | 3 | 2 | no | — |
| 633 | D4 | — | 6 | 6 | no | — |
| 634 | D4 | — | 9 | 6 | no | — |
| 635 | D4 | — | 18 | 6 | no | — |
| 636 | D4 | — | 18 | 6 | no | — |
| 637 | D4 | — | 18 | 12 | no | — |
| 638 | D4 | — | 18 | 2 | no | — |
| 639 | D4 | — | 18 | 6 | no | — |
| 640 | D4 | — | 18 | 6 | no | — |
| 641 | D4 | D3×D12 | 1 | 3 | yes | — |
| 642 | C2×C4 | — | 3 | 3 | no | — |
| 643 | C2×C4 | — | 3 | 3 | no | — |
| 644 | C2×C4 | — | 3 | 3 | no | — |
| 645 | C2×C4 | — | 3 | 1 | no | — |
| 646 | C2×C4 | — | 3 | 3 | no | — |
| 647 | C2×C4 | — | 6 | 6 | no | — |
| 648 | C2×C4 | — | 6 | 6 | no | — |
| 649 | C2×C4 | — | 18 | 6 | no | — |
| 650 | C2×C4 | — | 18 | 12 | no | — |
| 651 | C2×C4 | — | 18 | 2 | no | — |
| 652 | C2×C4 | — | 18 | 6 | no | — |
| 653 | C2×C4 | — | 18 | 6 | no | — |
| 654 | C2×C4 | C22×D32 | 1 | 3 | yes | — |
| 655 | C8 | — | 3 | 1 | no | — |
| 656 | C8 | — | 3 | 3 | no | — |
| 657 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 658 | C8 | C22×D32 | 1 | 3 | yes | — |
| 659 | C2×C3 | — | 2 | 3 | no | — |
| 660 | C2×C3 | — | 2 | 3 | no | — |
| 661 | C2×C3 | — | 2 | 1 | no | — |
| 662 | C2×C3 | — | 4 | 3 | no | — |
| 663 | C2×C3 | — | 6 | 3 | no | — |
| 664 | C2×C3 | — | 6 | 1 | no | — |
| 665 | C2×C3 | — | 12 | 2 | no | — |
| 666 | C2×C3 | C23×D12 | 1 | 1 | yes | characteristic |
| 667 | C2×C3 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 668 | D3 | — | 2 | 1 | no | — |
| 669 | D3 | — | 2 | 3 | no | — |
| 670 | D3 | — | 4 | 2 | no | — |
| 671 | D3 | — | 12 | 6 | no | — |
| 672 | D3 | — | 12 | 6 | no | — |
| 673 | D3 | — | 24 | 6 | no | — |
| 674 | C22 | — | 3 | 1 | no | — |
| 675 | C22 | — | 3 | 3 | no | — |
| 676 | C22 | — | 6 | 2 | no | — |
| 677 | C22 | — | 12 | 3 | no | — |
| 678 | C22 | — | 18 | 6 | no | — |
| 679 | C22 | — | 72 | 6 | no | — |
| 680 | C22 | — | 72 | 6 | no | — |
| 681 | C22 | C2×D3×D12 | 1 | 3 | yes | — |
| 682 | C4 | — | 3 | 1 | no | — |
| 683 | C4 | — | 3 | 3 | no | — |
| 684 | C4 | — | 6 | 6 | no | — |
| 685 | C4 | — | 18 | 2 | no | — |
| 686 | C4 | C2×D3×D12 | 1 | 3 | yes | — |
| 687 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 688 | C3 | — | 2 | 1 | no | — |
| 689 | C3 | #87163 | 1 | 1 | yes | characteristic, complemented |
| 690 | C3 | #87210 | 1 | 1 | yes | characteristic, complemented |
| 691 | C2 | — | 2 | 3 | no | — |
| 692 | C2 | — | 6 | 1 | no | — |
| 693 | C2 | — | 6 | 3 | no | — |
| 694 | C2 | — | 12 | 2 | no | — |
| 695 | C2 | — | 36 | 6 | no | — |
| 696 | C2 | C22×D3×D12 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C22×D3×D12 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×#131 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | #131 | D32 |
| hypocenter | C32 | #3584 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ #41 ◁ #131 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596697 | C2 | semidirect |
| 2. #10596223 | C2 | semidirect |
| 3. C3×#5753 | C2 | semidirect |
| 4. C3×D3×#131 | C2 | semidirect |
| 5. #10595448 | C2 | semidirect |
| 6. #10594715 | C2 | semidirect |
| 7. #10594711 | C2 | semidirect |
| 8. C2×#63808 | C2 | semidirect |
| 9. #10594691 | C2 | semidirect |
| 10. #10594680 | C2 | semidirect |
| 11. D3×#904 | C2 | semidirect |
| 14. #64366 | C22 | semidirect |
| 15. C3×#1010 | C22 | semidirect |
| 21. #64308 | C22 | semidirect |
| 22. D3×#235 | C22 | semidirect |
| 23. C2×#3799 | C22 | semidirect |
| 24. #64297 | C22 | semidirect |
| 25. C32×#131 | C22 | semidirect |
| 26. #64117 | C22 | semidirect |
| 27. #64113 | C22 | semidirect |
| 28. C2×#3745 | C22 | semidirect |
| 29. C3×#948 | C22 | semidirect |
| 30. C3×#909 | C22 | semidirect |
| 31. C3×#907 | C22 | semidirect |
| 32. C3×D3×M16 | C22 | semidirect |
| 33. C2×C3×Dic12 | C22 | semidirect |
| 34. C3×#904 | C22 | semidirect |
| 35. C3×#901 | C22 | semidirect |
| 36. C2×C3×D3×C8 | C22 | semidirect |
| 37. #63833 | C22 | semidirect |
| 38. C2×#3717 | C22 | semidirect |
| 39. #63829 | C22 | semidirect |
| 40. #63825 | C22 | semidirect |
| 41. #63808 | C22 | semidirect |
| 42. #63808 | C22 | semidirect |
| 43. #63808 | C22 | semidirect |
| 44. #63808 | C22 | semidirect |
| 45. #63807 | C22 | semidirect |
| 46. #63806 | C22 | semidirect |
| 47. #63801 | C22 | semidirect |
| 48. D3×Dic12 | C22 | semidirect |
| 49. #63794 | C22 | semidirect |
| 50. D3×D24 | C22 | semidirect |
| 51. D3×#204 | C22 | semidirect |
| 64. #5753 | D3 | semidirect |
| 71. D3×#131 | D3 | semidirect |
| 135. #1010 | C2×D3 | semidirect |
| 162. C3×#131 | C2×D3 | semidirect |
| 163. C3×#131 | C2×D3 | semidirect |
| 168. #948 | C2×D3 | semidirect |
| 184. #909 | C2×D3 | semidirect |
| 190. #907 | C2×D3 | semidirect |
| 191. D3×M16 | C2×D3 | semidirect |
| 193. C2×Dic12 | C2×D3 | semidirect |
| 204. #904 | C2×D3 | semidirect |
| 211. #901 | C2×D3 | semidirect |
| 212. C2×D3×C8 | C2×D3 | semidirect |
| 434. #131 | D32 | semidirect |
| 620. C32 | #3584 | semidirect |
| 689. C3 | #87163 | semidirect |
| 690. C3 | #87210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596697 | 2 |
| #10596223 | 2 |
| C3×#5753 | 2 |
| C3×D3×#131 | 2 |
| #10595448 | 2 |
| #10594715 | 2 |
| #10594711 | 2 |
| C2×#63808 | 2 |
| #10594691 | 2 |
| #10594680 | 2 |
| D3×#904 | 2 |
| #87210 | 3 |
| #87163 | 3 |