Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
3213 conjugacy classes of subgroups.
The subgroup lattice has 745 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3⋊D3×2−1+4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5838 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10595472 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #10595468 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10595459 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #10595450 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10595442 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10595337 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#63944 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #10595322 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | D3×#578 | — | 3 | 2 | no | maximal |
| 13 | C32×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #64367 | — | 2 | 3 | no | — |
| 15 | #64367 | C22 | 1 | 3 | yes | complemented |
| 16 | #64367 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #41×C3⋊D3 | — | 2 | 3 | no | — |
| 18 | #41×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 19 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 20 | #64364 | — | 2 | 1 | no | — |
| 21 | #64364 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 23 | C2×Q8×C3⋊D3 | C22 | 1 | 3 | yes | — |
| 24 | C3×#1010 | C22 | 1 | 2 | yes | complemented |
| 25 | D32×Q8 | — | 2 | 1 | no | — |
| 26 | #64316 | — | 2 | 1 | no | — |
| 27 | #64312 | — | 2 | 3 | no | — |
| 28 | #64309 | — | 2 | 3 | no | — |
| 29 | #64306 | C22 | 1 | 3 | yes | — |
| 30 | C2×#3797 | C22 | 1 | 3 | yes | — |
| 31 | #64297 | C22 | 1 | 6 | yes | complemented |
| 32 | C3×#951 | C22 | 1 | 6 | yes | complemented |
| 33 | C3×#950 | C22 | 1 | 6 | yes | complemented |
| 34 | C3×#948 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×C3×#216 | C22 | 1 | 6 | yes | complemented |
| 36 | C3×#942 | C22 | 1 | 6 | yes | complemented |
| 37 | #63951 | C22 | 1 | 12 | yes | complemented |
| 38 | #63950 | C22 | 1 | 6 | yes | complemented |
| 39 | #63945 | C22 | 1 | 6 | yes | complemented |
| 40 | #63944 | C22 | 1 | 3 | yes | — |
| 41 | #63944 | C22 | 1 | 6 | yes | — |
| 42 | #63944 | C22 | 1 | 12 | yes | complemented |
| 43 | #63940 | C22 | 1 | 3 | yes | — |
| 44 | #63936 | C22 | 1 | 6 | yes | complemented |
| 45 | #63931 | C22 | 1 | 6 | yes | complemented |
| 46 | #63930 | C22 | 1 | 3 | yes | — |
| 47 | #63926 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#3719 | C22 | 1 | 6 | yes | complemented |
| 49 | #63833 | C22 | 1 | 6 | yes | complemented |
| 50 | #63831 | C22 | 1 | 6 | yes | complemented |
| 51 | #63829 | C22 | 1 | 6 | yes | complemented |
| 52 | #63818 | C22 | 1 | 3 | yes | — |
| 53 | #63817 | C22 | 1 | 6 | yes | complemented |
| 54 | C2×#3710 | C22 | 1 | 3 | yes | — |
| 55 | D3×2−1+4 | — | 3 | 2 | no | — |
| 56 | D3×2−1+4 | — | 3 | 2 | no | — |
| 57 | D3×2−1+4 | — | 6 | 1 | no | — |
| 58 | C3×#578 | — | 3 | 2 | no | — |
| 59 | #5838 | — | 3 | 2 | no | — |
| 60 | #5838 | D3 | 1 | 2 | yes | complemented |
| 61 | #5779 | — | 3 | 6 | no | — |
| 62 | #5779 | — | 3 | 6 | no | — |
| 63 | D3×#137 | — | 3 | 6 | no | — |
| 64 | D3×#137 | — | 3 | 6 | no | — |
| 65 | #5771 | — | 3 | 6 | no | — |
| 66 | D3×#135 | — | 3 | 6 | no | — |
| 67 | #5766 | — | 3 | 6 | no | — |
| 68 | C2×D3×Q16 | — | 3 | 6 | no | — |
| 69 | #5753 | — | 3 | 2 | no | — |
| 70 | D3×#131 | — | 3 | 2 | no | — |
| 71 | C32×#41 | — | 2 | 3 | no | — |
| 72 | C32×#41 | C23 | 1 | 3 | yes | — |
| 73 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C32×Q8 | — | 2 | 1 | no | — |
| 75 | C2×C32×Q8 | C23 | 1 | 3 | yes | — |
| 76 | #3832 | — | 2 | 3 | no | — |
| 77 | #3832 | D4 | 1 | 1 | yes | characteristic |
| 78 | #3832 | C23 | 1 | 3 | yes | — |
| 79 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 80 | Q8×C3⋊D3 | — | 2 | 3 | no | — |
| 81 | Q8×C3⋊D3 | — | 2 | 3 | no | — |
| 82 | Q8×C3⋊D3 | — | 2 | 3 | no | — |
| 83 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 84 | Q8×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 85 | Q8×C3⋊D3 | C23 | 1 | 6 | yes | — |
| 86 | #3830 | — | 2 | 3 | no | — |
| 87 | #3830 | — | 2 | 6 | no | — |
| 88 | #3830 | — | 2 | 3 | no | — |
| 89 | #3830 | D4 | 1 | 3 | yes | — |
| 90 | #3830 | C23 | 1 | 3 | yes | — |
| 91 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 92 | D4×C3⋊D3 | D4 | 1 | 3 | yes | — |
| 93 | D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 94 | #3828 | — | 2 | 6 | no | — |
| 95 | #3828 | — | 2 | 3 | no | — |
| 96 | #3828 | — | 2 | 3 | no | — |
| 97 | #3828 | C23 | 1 | 3 | yes | — |
| 98 | #3828 | C23 | 1 | 3 | yes | — |
| 99 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 100 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 101 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 102 | C2×#634 | — | 2 | 3 | no | — |
| 103 | C2×#634 | — | 2 | 3 | no | — |
| 104 | C2×#634 | C23 | 1 | 3 | yes | — |
| 105 | C3×D3×Q8 | — | 2 | 2 | no | — |
| 106 | C3×#237 | — | 2 | 6 | no | — |
| 107 | C3×#235 | C23 | 1 | 6 | yes | — |
| 108 | C2×C3×Dic6 | C23 | 1 | 6 | yes | — |
| 109 | #3811 | — | 2 | 3 | no | — |
| 110 | C2×#627 | — | 2 | 3 | no | — |
| 111 | C2×#624 | — | 2 | 3 | no | — |
| 112 | #3805 | — | 2 | 3 | no | — |
| 113 | #3804 | — | 2 | 12 | no | — |
| 114 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 115 | C4×D32 | — | 2 | 3 | no | — |
| 116 | #3799 | — | 2 | 6 | no | — |
| 117 | #3798 | — | 2 | 3 | no | — |
| 118 | #3797 | — | 2 | 3 | no | — |
| 119 | #3797 | — | 2 | 3 | no | — |
| 120 | #3797 | C23 | 1 | 6 | yes | — |
| 121 | #3797 | C23 | 1 | 3 | yes | — |
| 122 | #3796 | C23 | 1 | 6 | yes | — |
| 123 | D3×Dic6 | — | 2 | 6 | no | — |
| 124 | C3×#216 | C23 | 1 | 12 | yes | — |
| 125 | C3×#216 | C23 | 1 | 6 | yes | — |
| 126 | C3×#215 | C23 | 1 | 6 | yes | — |
| 127 | C3×#214 | C23 | 1 | 6 | yes | — |
| 128 | C3×#213 | C23 | 1 | 2 | yes | — |
| 129 | C3×#208 | C23 | 1 | 6 | yes | — |
| 130 | C2×C3×C3⋊C8 | C23 | 1 | 6 | yes | — |
| 131 | #3719 | C23 | 1 | 6 | yes | — |
| 132 | #3719 | C23 | 1 | 12 | yes | — |
| 133 | #3717 | C23 | 1 | 6 | yes | — |
| 134 | #3716 | C23 | 1 | 6 | yes | — |
| 135 | #3714 | C23 | 1 | 2 | yes | — |
| 136 | #3712 | C23 | 1 | 6 | yes | — |
| 137 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 138 | #3710 | C23 | 1 | 6 | yes | — |
| 139 | #3710 | C23 | 1 | 3 | yes | — |
| 140 | C2×#578 | — | 9 | 1 | no | Sylow |
| 141 | C3×2−1+4 | — | 2 | 1 | no | — |
| 142 | C3×2−1+4 | — | 3 | 2 | no | — |
| 143 | C3×2−1+4 | C2×D3 | 1 | 2 | yes | complemented |
| 144 | #1010 | — | 3 | 2 | no | — |
| 145 | #1010 | — | 3 | 6 | no | — |
| 146 | #1010 | — | 3 | 6 | no | — |
| 147 | #1010 | — | 6 | 3 | no | — |
| 148 | #1010 | — | 6 | 1 | no | — |
| 149 | #1010 | — | 6 | 6 | no | — |
| 150 | #1010 | — | 6 | 6 | no | — |
| 151 | #1010 | — | 6 | 6 | no | — |
| 152 | #1010 | C2×D3 | 1 | 2 | yes | complemented |
| 153 | D3×#41 | — | 3 | 2 | no | — |
| 154 | D3×#41 | — | 3 | 6 | no | — |
| 155 | D3×#41 | — | 3 | 6 | no | — |
| 156 | D3×#41 | — | 6 | 1 | no | — |
| 157 | D3×#41 | — | 6 | 3 | no | — |
| 158 | D3×#41 | — | 6 | 6 | no | — |
| 159 | D3×#41 | — | 6 | 6 | no | — |
| 160 | D3×#41 | — | 6 | 6 | no | — |
| 161 | #1007 | — | 3 | 6 | no | — |
| 162 | #1007 | — | 3 | 6 | no | — |
| 163 | #1007 | — | 6 | 3 | no | — |
| 164 | #1007 | — | 6 | 2 | no | — |
| 165 | #1007 | — | 6 | 2 | no | — |
| 166 | #1007 | — | 6 | 2 | no | — |
| 167 | C2×D3×Q8 | — | 3 | 6 | no | — |
| 168 | C2×D3×Q8 | — | 3 | 6 | no | — |
| 169 | C2×D3×Q8 | — | 6 | 3 | no | — |
| 170 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 171 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 172 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 173 | C3×#137 | — | 3 | 6 | no | — |
| 174 | C3×#137 | — | 3 | 6 | no | — |
| 175 | C3×#135 | — | 3 | 6 | no | — |
| 176 | C2×C3×Q16 | — | 3 | 6 | no | — |
| 177 | C3×#131 | — | 3 | 2 | no | — |
| 178 | #951 | — | 3 | 6 | no | — |
| 179 | #951 | C2×D3 | 1 | 6 | yes | complemented |
| 180 | #950 | — | 3 | 6 | no | — |
| 181 | #950 | C2×D3 | 1 | 6 | yes | complemented |
| 182 | #948 | C2×D3 | 1 | 2 | yes | complemented |
| 183 | C2×#216 | — | 3 | 6 | no | — |
| 184 | C2×#216 | C2×D3 | 1 | 6 | yes | complemented |
| 185 | #942 | — | 3 | 6 | no | — |
| 186 | #942 | C2×D3 | 1 | 6 | yes | complemented |
| 187 | #919 | — | 3 | 6 | no | — |
| 188 | #918 | — | 3 | 12 | no | — |
| 189 | #918 | — | 3 | 12 | no | — |
| 190 | D3×Q16 | — | 3 | 6 | no | — |
| 191 | D3×Q16 | — | 3 | 12 | no | — |
| 192 | D3×Q16 | — | 3 | 12 | no | — |
| 193 | D3×Q16 | — | 3 | 12 | no | — |
| 194 | #916 | — | 3 | 6 | no | — |
| 195 | #916 | — | 3 | 6 | no | — |
| 196 | #915 | — | 3 | 12 | no | — |
| 197 | #915 | — | 3 | 12 | no | — |
| 198 | D3×SD16 | — | 3 | 6 | no | — |
| 199 | D3×SD16 | — | 3 | 6 | no | — |
| 200 | #912 | — | 3 | 6 | no | — |
| 201 | D3×D8 | — | 3 | 2 | no | — |
| 202 | #909 | — | 3 | 6 | no | — |
| 203 | #909 | — | 3 | 6 | no | — |
| 204 | #907 | — | 3 | 6 | no | — |
| 205 | D3×M16 | — | 3 | 6 | no | — |
| 206 | C2×Dic12 | — | 3 | 6 | no | — |
| 207 | #904 | — | 3 | 6 | no | — |
| 208 | #901 | — | 3 | 6 | no | — |
| 209 | C2×D3×C8 | — | 3 | 6 | no | — |
| 210 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 211 | C22×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 212 | C2×D32 | — | 2 | 1 | no | — |
| 213 | C32×Q8 | — | 2 | 3 | no | — |
| 214 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C32×Q8 | C24 | 1 | 3 | yes | — |
| 216 | C32×D4 | — | 2 | 3 | no | — |
| 217 | C32×D4 | C2×D4 | 1 | 3 | yes | — |
| 218 | C32×D4 | C24 | 1 | 1 | yes | characteristic |
| 219 | C2×C32×C4 | — | 2 | 3 | no | — |
| 220 | C2×C32×C4 | — | 2 | 3 | no | — |
| 221 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 222 | #638 | — | 2 | 3 | no | — |
| 223 | #638 | — | 2 | 3 | no | — |
| 224 | #638 | — | 2 | 1 | no | — |
| 225 | #638 | C2×D4 | 1 | 6 | yes | — |
| 226 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 227 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 228 | C2×C3⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 229 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 230 | C4⋊(C3⋊D3) | C2×D4 | 1 | 3 | yes | — |
| 231 | C4⋊(C3⋊D3) | C24 | 1 | 1 | yes | characteristic |
| 232 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 233 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 234 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 235 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 236 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 237 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 238 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 239 | C4×C3⋊D3 | C24 | 1 | 3 | yes | — |
| 240 | #634 | — | 2 | 3 | no | — |
| 241 | #634 | — | 2 | 6 | no | — |
| 242 | #634 | — | 2 | 3 | no | — |
| 243 | #634 | C2×D4 | 1 | 3 | yes | — |
| 244 | #634 | C24 | 1 | 3 | yes | — |
| 245 | C3×#67 | — | 2 | 6 | no | — |
| 246 | C2×C3×Dic3 | — | 2 | 6 | no | — |
| 247 | C3×D12 | C24 | 1 | 2 | yes | — |
| 248 | C3×C4×D3 | — | 2 | 6 | no | — |
| 249 | C3×Dic6 | — | 2 | 6 | no | — |
| 250 | C3×Dic6 | C24 | 1 | 6 | yes | — |
| 251 | #627 | — | 2 | 6 | no | — |
| 252 | #627 | — | 2 | 3 | no | — |
| 253 | #626 | — | 2 | 6 | no | — |
| 254 | #625 | — | 2 | 1 | no | — |
| 255 | #624 | — | 2 | 3 | no | — |
| 256 | #624 | — | 2 | 6 | no | — |
| 257 | D3×Dic3 | — | 2 | 6 | no | — |
| 258 | C3×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 259 | C3×C3⋊C8 | C24 | 1 | 6 | yes | — |
| 260 | C2×2−1+4 | — | 9 | 1 | no | — |
| 261 | C2×2−1+4 | — | 9 | 1 | no | — |
| 262 | #578 | — | 3 | 2 | no | — |
| 263 | #578 | — | 9 | 2 | no | — |
| 264 | #578 | — | 9 | 6 | no | — |
| 265 | #578 | — | 9 | 6 | no | — |
| 266 | C2×#137 | — | 9 | 3 | no | — |
| 267 | C2×#137 | — | 9 | 3 | no | — |
| 268 | C2×#135 | — | 9 | 3 | no | — |
| 269 | C22×Q16 | — | 9 | 3 | no | — |
| 270 | C2×#131 | — | 9 | 1 | no | — |
| 271 | C3×#41 | — | 2 | 6 | no | — |
| 272 | C3×#41 | — | 2 | 6 | no | — |
| 273 | C3×#41 | — | 2 | 3 | no | — |
| 274 | C3×#41 | — | 2 | 1 | no | — |
| 275 | C3×#41 | — | 3 | 6 | no | — |
| 276 | C3×#41 | — | 6 | 6 | no | — |
| 277 | C3×#41 | C22×D3 | 1 | 6 | yes | — |
| 278 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 279 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 280 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 281 | C2×C3×Q8 | — | 2 | 3 | no | — |
| 282 | C2×C3×Q8 | — | 3 | 6 | no | — |
| 283 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 284 | C2×C3×Q8 | C22×D3 | 1 | 6 | yes | — |
| 285 | #239 | — | 3 | 2 | no | — |
| 286 | #239 | — | 3 | 6 | no | — |
| 287 | #239 | — | 3 | 6 | no | — |
| 288 | #239 | — | 6 | 1 | no | — |
| 289 | #239 | — | 6 | 3 | no | — |
| 290 | #239 | — | 6 | 6 | no | — |
| 291 | #239 | — | 6 | 6 | no | — |
| 292 | #239 | — | 6 | 6 | no | — |
| 293 | D3×Q8 | — | 2 | 2 | no | — |
| 294 | D3×Q8 | — | 3 | 2 | no | — |
| 295 | D3×Q8 | — | 3 | 6 | no | — |
| 296 | D3×Q8 | — | 3 | 12 | no | — |
| 297 | D3×Q8 | — | 3 | 6 | no | — |
| 298 | D3×Q8 | — | 3 | 12 | no | — |
| 299 | D3×Q8 | — | 6 | 1 | no | — |
| 300 | D3×Q8 | — | 6 | 3 | no | — |
| 301 | D3×Q8 | — | 6 | 6 | no | — |
| 302 | D3×Q8 | — | 6 | 6 | no | — |
| 303 | D3×Q8 | — | 6 | 6 | no | — |
| 304 | D3×Q8 | — | 6 | 6 | no | — |
| 305 | D3×Q8 | — | 6 | 6 | no | — |
| 306 | D3×Q8 | — | 6 | 6 | no | — |
| 307 | D3×Q8 | — | 6 | 6 | no | — |
| 308 | D3×Q8 | — | 6 | 6 | no | — |
| 309 | D3×Q8 | — | 6 | 6 | no | — |
| 310 | D3×Q8 | — | 6 | 6 | no | — |
| 311 | D3×Q8 | — | 6 | 2 | no | — |
| 312 | D3×Q8 | — | 6 | 2 | no | — |
| 313 | #237 | — | 2 | 6 | no | — |
| 314 | #237 | — | 3 | 6 | no | — |
| 315 | #237 | — | 3 | 6 | no | — |
| 316 | #237 | — | 3 | 6 | no | — |
| 317 | #237 | — | 6 | 3 | no | — |
| 318 | #237 | — | 6 | 3 | no | — |
| 319 | #237 | — | 6 | 12 | no | — |
| 320 | #237 | — | 6 | 6 | no | — |
| 321 | #237 | — | 6 | 6 | no | — |
| 322 | #237 | — | 6 | 12 | no | — |
| 323 | #237 | — | 6 | 6 | no | — |
| 324 | #237 | — | 6 | 12 | no | — |
| 325 | #237 | — | 6 | 6 | no | — |
| 326 | #237 | — | 6 | 6 | no | — |
| 327 | D3×D4 | — | 3 | 6 | no | — |
| 328 | D3×D4 | — | 3 | 2 | no | — |
| 329 | D3×D4 | — | 3 | 2 | no | — |
| 330 | D3×D4 | — | 6 | 3 | no | — |
| 331 | D3×D4 | — | 6 | 1 | no | — |
| 332 | D3×D4 | — | 6 | 6 | no | — |
| 333 | D3×D4 | — | 6 | 6 | no | — |
| 334 | D3×D4 | — | 6 | 6 | no | — |
| 335 | #235 | — | 3 | 6 | no | — |
| 336 | #235 | — | 3 | 6 | no | — |
| 337 | #235 | — | 6 | 3 | no | — |
| 338 | #235 | — | 6 | 3 | no | — |
| 339 | #235 | — | 6 | 6 | no | — |
| 340 | #235 | — | 6 | 6 | no | — |
| 341 | #235 | — | 6 | 6 | no | — |
| 342 | #235 | — | 6 | 6 | no | — |
| 343 | #235 | — | 6 | 12 | no | — |
| 344 | #235 | — | 6 | 12 | no | — |
| 345 | #235 | — | 6 | 6 | no | — |
| 346 | #235 | — | 6 | 6 | no | — |
| 347 | #235 | — | 6 | 12 | no | — |
| 348 | #235 | C22×D3 | 1 | 6 | yes | — |
| 349 | C2×C4×D3 | — | 3 | 6 | no | — |
| 350 | C2×C4×D3 | — | 6 | 3 | no | — |
| 351 | C2×C4×D3 | — | 6 | 6 | no | — |
| 352 | C2×C4×D3 | — | 6 | 6 | no | — |
| 353 | C2×C4×D3 | — | 6 | 6 | no | — |
| 354 | C2×C4×D3 | — | 6 | 6 | no | — |
| 355 | C2×C4×D3 | — | 6 | 6 | no | — |
| 356 | C2×C4×D3 | — | 6 | 6 | no | — |
| 357 | C2×Dic6 | — | 3 | 6 | no | — |
| 358 | C2×Dic6 | — | 6 | 3 | no | — |
| 359 | C2×Dic6 | — | 6 | 6 | no | — |
| 360 | C2×Dic6 | — | 6 | 6 | no | — |
| 361 | C2×Dic6 | — | 6 | 6 | no | — |
| 362 | C2×Dic6 | — | 6 | 6 | no | — |
| 363 | C2×Dic6 | — | 6 | 6 | no | — |
| 364 | C2×Dic6 | — | 6 | 6 | no | — |
| 365 | C2×Dic6 | C22×D3 | 1 | 6 | yes | — |
| 366 | C3×Q16 | — | 3 | 6 | no | — |
| 367 | C3×Q16 | — | 3 | 12 | no | — |
| 368 | C3×SD16 | — | 3 | 6 | no | — |
| 369 | C3×SD16 | — | 3 | 6 | no | — |
| 370 | C3×D8 | — | 3 | 2 | no | — |
| 371 | C3×M16 | — | 3 | 6 | no | — |
| 372 | C2×C3×C8 | — | 3 | 6 | no | — |
| 373 | #216 | — | 3 | 12 | no | — |
| 374 | #216 | — | 3 | 6 | no | — |
| 375 | #216 | C22×D3 | 1 | 12 | yes | — |
| 376 | #216 | C22×D3 | 1 | 6 | yes | — |
| 377 | #215 | — | 3 | 6 | no | — |
| 378 | #215 | C22×D3 | 1 | 6 | yes | — |
| 379 | #214 | — | 3 | 6 | no | — |
| 380 | #214 | C22×D3 | 1 | 6 | yes | — |
| 381 | #213 | — | 3 | 2 | no | — |
| 382 | #213 | C22×D3 | 1 | 2 | yes | — |
| 383 | #208 | C22×D3 | 1 | 6 | yes | — |
| 384 | C2×C3⋊C8 | C22×D3 | 1 | 6 | yes | — |
| 385 | Dic12 | — | 3 | 6 | no | — |
| 386 | Dic12 | — | 3 | 12 | no | — |
| 387 | D24 | — | 3 | 2 | no | — |
| 388 | #204 | — | 3 | 6 | no | — |
| 389 | #204 | — | 3 | 6 | no | — |
| 390 | ΓL(1,𝔽25) | — | 3 | 12 | no | — |
| 391 | D3×C8 | — | 3 | 2 | no | — |
| 392 | D3×C8 | — | 3 | 6 | no | — |
| 393 | D3×C8 | — | 3 | 6 | no | — |
| 394 | D3×C8 | — | 3 | 6 | no | — |
| 395 | C22×C32 | — | 2 | 1 | no | — |
| 396 | C22×C32 | C22×D4 | 1 | 3 | yes | — |
| 397 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 398 | C2×C3⋊D3 | — | 2 | 6 | no | — |
| 399 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 400 | C2×C3⋊D3 | C22×D4 | 1 | 3 | yes | — |
| 401 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 402 | C2×C3×D3 | — | 2 | 2 | no | — |
| 403 | D32 | — | 4 | 2 | no | — |
| 404 | C32×C4 | — | 2 | 3 | no | — |
| 405 | C32×C4 | C22×D4 | 1 | 3 | yes | — |
| 406 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 407 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 408 | C3⋊Dic3 | C22×D4 | 1 | 3 | yes | — |
| 409 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 410 | C3×Dic3 | — | 2 | 6 | no | — |
| 411 | 2−1+4 | — | 3 | 2 | no | — |
| 412 | 2−1+4 | — | 9 | 6 | no | — |
| 413 | 2−1+4 | — | 9 | 3 | no | — |
| 414 | 2−1+4 | — | 9 | 1 | no | — |
| 415 | 2−1+4 | — | 9 | 3 | no | — |
| 416 | 2−1+4 | — | 18 | 1 | no | — |
| 417 | 2−1+4 | — | 18 | 1 | no | — |
| 418 | 2−1+4 | — | 18 | 3 | no | — |
| 419 | 2−1+4 | — | 18 | 3 | no | — |
| 420 | 2−1+4 | D32 | 1 | 1 | yes | characteristic, complemented |
| 421 | C2×#41 | — | 9 | 1 | no | — |
| 422 | C2×#41 | — | 9 | 3 | no | — |
| 423 | C2×#41 | — | 9 | 3 | no | — |
| 424 | C2×#41 | — | 18 | 3 | no | — |
| 425 | C2×#41 | — | 18 | 3 | no | — |
| 426 | C22×Q8 | — | 9 | 3 | no | — |
| 427 | C22×Q8 | — | 9 | 3 | no | — |
| 428 | C22×Q8 | — | 18 | 1 | no | — |
| 429 | C22×Q8 | — | 18 | 1 | no | — |
| 430 | #137 | — | 3 | 6 | no | — |
| 431 | #137 | — | 3 | 6 | no | — |
| 432 | #137 | — | 9 | 6 | no | — |
| 433 | #137 | — | 9 | 6 | no | — |
| 434 | #137 | — | 9 | 6 | no | — |
| 435 | #137 | — | 9 | 12 | no | — |
| 436 | #137 | — | 9 | 6 | no | — |
| 437 | #135 | — | 3 | 6 | no | — |
| 438 | #135 | — | 9 | 6 | no | — |
| 439 | #135 | — | 9 | 6 | no | — |
| 440 | #135 | — | 9 | 6 | no | — |
| 441 | C2×Q16 | — | 3 | 6 | no | — |
| 442 | C2×Q16 | — | 9 | 6 | no | — |
| 443 | C2×Q16 | — | 9 | 3 | no | — |
| 444 | C2×Q16 | — | 9 | 6 | no | — |
| 445 | C2×Q16 | — | 9 | 12 | no | — |
| 446 | C2×SD16 | — | 9 | 3 | no | — |
| 447 | C2×SD16 | — | 9 | 3 | no | — |
| 448 | C2×D8 | — | 9 | 1 | no | — |
| 449 | #131 | — | 3 | 2 | no | — |
| 450 | #131 | — | 9 | 6 | no | — |
| 451 | C2×M16 | — | 9 | 3 | no | — |
| 452 | C22×C8 | — | 9 | 3 | no | — |
| 453 | C22×D3 | — | 3 | 6 | no | — |
| 454 | C22×D3 | — | 6 | 3 | no | — |
| 455 | C22×D3 | — | 6 | 2 | no | — |
| 456 | C22×D3 | — | 6 | 2 | no | — |
| 457 | C22×D3 | — | 6 | 2 | no | — |
| 458 | C3×Q8 | — | 2 | 6 | no | — |
| 459 | C3×Q8 | — | 2 | 6 | no | — |
| 460 | C3×Q8 | — | 2 | 3 | no | — |
| 461 | C3×Q8 | — | 2 | 1 | no | — |
| 462 | C3×Q8 | — | 3 | 6 | no | — |
| 463 | C3×Q8 | — | 6 | 6 | no | — |
| 464 | C3×Q8 | D3×D4 | 1 | 2 | yes | — |
| 465 | C3×Q8 | C23×D3 | 1 | 6 | yes | — |
| 466 | C3×D4 | — | 2 | 6 | no | — |
| 467 | C3×D4 | — | 2 | 6 | no | — |
| 468 | C3×D4 | — | 2 | 1 | no | — |
| 469 | C3×D4 | — | 2 | 3 | no | — |
| 470 | C3×D4 | — | 3 | 2 | no | — |
| 471 | C3×D4 | — | 6 | 6 | no | — |
| 472 | C3×D4 | D3×D4 | 1 | 6 | yes | — |
| 473 | C3×D4 | C23×D3 | 1 | 2 | yes | — |
| 474 | C2×C3×C4 | — | 2 | 6 | no | — |
| 475 | C2×C3×C4 | — | 2 | 6 | no | — |
| 476 | C2×C3×C4 | — | 2 | 6 | no | — |
| 477 | C2×C3×C4 | — | 2 | 6 | no | — |
| 478 | C2×C3×C4 | — | 2 | 3 | no | — |
| 479 | C2×C3×C4 | — | 6 | 6 | no | — |
| 480 | C2×C3×C4 | — | 6 | 6 | no | — |
| 481 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 482 | #67 | — | 2 | 6 | no | — |
| 483 | #67 | — | 3 | 12 | no | — |
| 484 | #67 | — | 6 | 6 | no | — |
| 485 | #67 | — | 6 | 6 | no | — |
| 486 | #67 | — | 6 | 2 | no | — |
| 487 | #67 | — | 6 | 2 | no | — |
| 488 | #67 | — | 6 | 6 | no | — |
| 489 | #67 | — | 6 | 2 | no | — |
| 490 | #67 | — | 6 | 6 | no | — |
| 491 | #67 | — | 6 | 6 | no | — |
| 492 | #67 | — | 6 | 6 | no | — |
| 493 | C2×Dic3 | — | 2 | 6 | no | — |
| 494 | C2×Dic3 | — | 3 | 6 | no | — |
| 495 | C2×Dic3 | — | 6 | 3 | no | — |
| 496 | C2×Dic3 | — | 6 | 6 | no | — |
| 497 | C2×Dic3 | — | 6 | 6 | no | — |
| 498 | C2×Dic3 | — | 6 | 6 | no | — |
| 499 | C2×Dic3 | — | 6 | 6 | no | — |
| 500 | C2×Dic3 | — | 6 | 6 | no | — |
| 501 | D12 | — | 3 | 6 | no | — |
| 502 | D12 | — | 3 | 2 | no | — |
| 503 | D12 | — | 6 | 3 | no | — |
| 504 | D12 | — | 6 | 1 | no | — |
| 505 | D12 | — | 6 | 6 | no | — |
| 506 | D12 | — | 6 | 6 | no | — |
| 507 | D12 | — | 6 | 6 | no | — |
| 508 | D12 | C23×D3 | 1 | 2 | yes | — |
| 509 | C4×D3 | — | 2 | 6 | no | — |
| 510 | C4×D3 | — | 3 | 6 | no | — |
| 511 | C4×D3 | — | 3 | 6 | no | — |
| 512 | C4×D3 | — | 3 | 2 | no | — |
| 513 | C4×D3 | — | 3 | 6 | no | — |
| 514 | C4×D3 | — | 6 | 3 | no | — |
| 515 | C4×D3 | — | 6 | 3 | no | — |
| 516 | C4×D3 | — | 6 | 1 | no | — |
| 517 | C4×D3 | — | 6 | 3 | no | — |
| 518 | C4×D3 | — | 6 | 6 | no | — |
| 519 | C4×D3 | — | 6 | 12 | no | — |
| 520 | C4×D3 | — | 6 | 6 | no | — |
| 521 | C4×D3 | — | 6 | 6 | no | — |
| 522 | C4×D3 | — | 6 | 6 | no | — |
| 523 | C4×D3 | — | 6 | 12 | no | — |
| 524 | C4×D3 | — | 6 | 6 | no | — |
| 525 | C4×D3 | — | 6 | 6 | no | — |
| 526 | C4×D3 | — | 6 | 12 | no | — |
| 527 | C4×D3 | — | 6 | 6 | no | — |
| 528 | C4×D3 | — | 6 | 6 | no | — |
| 529 | Dic6 | — | 2 | 6 | no | — |
| 530 | Dic6 | — | 3 | 6 | no | — |
| 531 | Dic6 | — | 3 | 6 | no | — |
| 532 | Dic6 | — | 6 | 3 | no | — |
| 533 | Dic6 | — | 6 | 3 | no | — |
| 534 | Dic6 | — | 6 | 12 | no | — |
| 535 | Dic6 | — | 6 | 6 | no | — |
| 536 | Dic6 | — | 6 | 12 | no | — |
| 537 | Dic6 | — | 6 | 6 | no | — |
| 538 | Dic6 | — | 6 | 6 | no | — |
| 539 | Dic6 | — | 6 | 12 | no | — |
| 540 | Dic6 | — | 6 | 6 | no | — |
| 541 | Dic6 | — | 6 | 6 | no | — |
| 542 | Dic6 | C23×D3 | 1 | 6 | yes | — |
| 543 | C3×C8 | — | 3 | 2 | no | — |
| 544 | C3×C8 | — | 3 | 6 | no | — |
| 545 | C3⋊C8 | C23×D3 | 1 | 2 | yes | — |
| 546 | C3⋊C8 | C23×D3 | 1 | 6 | yes | — |
| 547 | C2×C32 | — | 2 | 3 | no | — |
| 548 | C2×C32 | — | 4 | 1 | no | — |
| 549 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 550 | C3⋊D3 | — | 2 | 3 | no | — |
| 551 | C3⋊D3 | — | 4 | 1 | no | — |
| 552 | C3⋊D3 | #578 | 1 | 2 | yes | complemented |
| 553 | C3×D3 | — | 4 | 2 | no | — |
| 554 | #41 | — | 2 | 3 | no | — |
| 555 | #41 | — | 3 | 6 | no | — |
| 556 | #41 | — | 6 | 6 | no | — |
| 557 | #41 | — | 9 | 1 | no | — |
| 558 | #41 | — | 9 | 3 | no | — |
| 559 | #41 | — | 9 | 3 | no | — |
| 560 | #41 | — | 9 | 6 | no | — |
| 561 | #41 | — | 9 | 3 | no | — |
| 562 | #41 | — | 9 | 3 | no | — |
| 563 | #41 | — | 9 | 3 | no | — |
| 564 | #41 | — | 18 | 3 | no | — |
| 565 | #41 | — | 18 | 6 | no | — |
| 566 | #41 | — | 18 | 3 | no | — |
| 567 | #41 | — | 18 | 3 | no | — |
| 568 | #41 | — | 18 | 12 | no | — |
| 569 | #41 | — | 18 | 6 | no | — |
| 570 | #41 | — | 18 | 3 | no | — |
| 571 | #41 | — | 18 | 3 | no | — |
| 572 | #41 | — | 18 | 6 | no | — |
| 573 | #41 | — | 18 | 3 | no | — |
| 574 | #41 | — | 18 | 3 | no | — |
| 575 | #41 | C2×D32 | 1 | 3 | yes | — |
| 576 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 577 | C2×Q8 | — | 2 | 1 | no | — |
| 578 | C2×Q8 | — | 3 | 6 | no | — |
| 579 | C2×Q8 | — | 6 | 2 | no | — |
| 580 | C2×Q8 | — | 9 | 1 | no | — |
| 581 | C2×Q8 | — | 9 | 3 | no | — |
| 582 | C2×Q8 | — | 9 | 6 | no | — |
| 583 | C2×Q8 | — | 9 | 3 | no | — |
| 584 | C2×Q8 | — | 9 | 6 | no | — |
| 585 | C2×Q8 | — | 9 | 3 | no | — |
| 586 | C2×Q8 | — | 18 | 3 | no | — |
| 587 | C2×Q8 | — | 18 | 3 | no | — |
| 588 | C2×Q8 | — | 18 | 3 | no | — |
| 589 | C2×Q8 | — | 18 | 6 | no | — |
| 590 | C2×Q8 | — | 18 | 3 | no | — |
| 591 | C2×Q8 | — | 18 | 3 | no | — |
| 592 | C2×Q8 | — | 18 | 3 | no | — |
| 593 | C2×Q8 | — | 18 | 3 | no | — |
| 594 | C2×Q8 | — | 18 | 3 | no | — |
| 595 | C2×Q8 | — | 18 | 1 | no | — |
| 596 | C2×Q8 | C2×D32 | 1 | 3 | yes | — |
| 597 | C2×D4 | — | 9 | 1 | no | — |
| 598 | C2×D4 | — | 9 | 3 | no | — |
| 599 | C2×D4 | — | 9 | 1 | no | — |
| 600 | C2×D4 | — | 18 | 3 | no | — |
| 601 | C2×D4 | — | 18 | 3 | no | — |
| 602 | C22×C4 | — | 9 | 3 | no | — |
| 603 | C22×C4 | — | 18 | 3 | no | — |
| 604 | C22×C4 | — | 18 | 3 | no | — |
| 605 | C22×C4 | — | 18 | 3 | no | — |
| 606 | C22×C4 | — | 18 | 3 | no | — |
| 607 | Q16 | — | 3 | 6 | no | — |
| 608 | Q16 | — | 3 | 12 | no | — |
| 609 | Q16 | — | 9 | 6 | no | — |
| 610 | Q16 | — | 9 | 12 | no | — |
| 611 | SD16 | — | 3 | 6 | no | — |
| 612 | SD16 | — | 3 | 6 | no | — |
| 613 | SD16 | — | 9 | 6 | no | — |
| 614 | SD16 | — | 9 | 6 | no | — |
| 615 | D8 | — | 3 | 2 | no | — |
| 616 | D8 | — | 9 | 2 | no | — |
| 617 | M16 | — | 3 | 6 | no | — |
| 618 | M16 | — | 9 | 6 | no | — |
| 619 | C2×C8 | — | 3 | 6 | no | — |
| 620 | C2×C8 | — | 9 | 1 | no | — |
| 621 | C2×C8 | — | 9 | 3 | no | — |
| 622 | C2×C8 | — | 9 | 6 | no | — |
| 623 | C22×C3 | — | 2 | 2 | no | — |
| 624 | C22×C3 | — | 2 | 2 | no | — |
| 625 | C22×C3 | — | 2 | 3 | no | — |
| 626 | C22×C3 | — | 6 | 2 | no | — |
| 627 | C22×C3 | C2×D3×D4 | 1 | 6 | yes | — |
| 628 | C2×D3 | — | 2 | 2 | no | — |
| 629 | C2×D3 | — | 3 | 2 | no | — |
| 630 | C2×D3 | — | 3 | 6 | no | — |
| 631 | C2×D3 | — | 6 | 1 | no | — |
| 632 | C2×D3 | — | 6 | 3 | no | — |
| 633 | C2×D3 | — | 6 | 12 | no | — |
| 634 | C2×D3 | — | 6 | 2 | no | — |
| 635 | C2×D3 | — | 6 | 2 | no | — |
| 636 | C2×D3 | — | 12 | 6 | no | — |
| 637 | C2×D3 | — | 12 | 4 | no | — |
| 638 | C2×D3 | — | 12 | 4 | no | — |
| 639 | C2×D3 | — | 12 | 4 | no | — |
| 640 | C3×C4 | — | 2 | 6 | no | — |
| 641 | C3×C4 | — | 2 | 6 | no | — |
| 642 | C3×C4 | — | 2 | 3 | no | — |
| 643 | C3×C4 | — | 2 | 1 | no | — |
| 644 | C3×C4 | — | 6 | 6 | no | — |
| 645 | C3×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 646 | C3×C4 | C24×D3 | 1 | 2 | yes | — |
| 647 | Dic3 | — | 2 | 6 | no | — |
| 648 | Dic3 | — | 3 | 6 | no | — |
| 649 | Dic3 | — | 3 | 2 | no | — |
| 650 | Dic3 | — | 6 | 1 | no | — |
| 651 | Dic3 | — | 6 | 3 | no | — |
| 652 | Dic3 | — | 6 | 6 | no | — |
| 653 | Dic3 | — | 6 | 6 | no | — |
| 654 | C32 | C2×#578 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 655 | C23 | — | 9 | 3 | no | — |
| 656 | C23 | — | 18 | 1 | no | — |
| 657 | C23 | — | 18 | 1 | no | — |
| 658 | Q8 | — | 2 | 3 | no | — |
| 659 | Q8 | — | 3 | 6 | no | — |
| 660 | Q8 | — | 6 | 6 | no | — |
| 661 | Q8 | — | 9 | 3 | no | — |
| 662 | Q8 | — | 9 | 3 | no | — |
| 663 | Q8 | — | 18 | 3 | no | — |
| 664 | Q8 | — | 18 | 6 | no | — |
| 665 | Q8 | — | 18 | 3 | no | — |
| 666 | Q8 | — | 18 | 6 | no | — |
| 667 | Q8 | — | 18 | 3 | no | — |
| 668 | Q8 | #3811 | 1 | 1 | yes | characteristic |
| 669 | Q8 | C22×D32 | 1 | 3 | yes | — |
| 670 | D4 | — | 2 | 3 | no | — |
| 671 | D4 | — | 3 | 2 | no | — |
| 672 | D4 | — | 6 | 6 | no | — |
| 673 | D4 | — | 9 | 6 | no | — |
| 674 | D4 | — | 9 | 3 | no | — |
| 675 | D4 | — | 9 | 1 | no | — |
| 676 | D4 | — | 18 | 3 | no | — |
| 677 | D4 | — | 18 | 6 | no | — |
| 678 | D4 | — | 18 | 1 | no | — |
| 679 | D4 | — | 18 | 1 | no | — |
| 680 | D4 | — | 18 | 3 | no | — |
| 681 | D4 | — | 18 | 3 | no | — |
| 682 | D4 | #3811 | 1 | 3 | yes | — |
| 683 | D4 | C22×D32 | 1 | 1 | yes | characteristic |
| 684 | C2×C4 | — | 2 | 3 | no | — |
| 685 | C2×C4 | — | 2 | 3 | no | — |
| 686 | C2×C4 | — | 6 | 6 | no | — |
| 687 | C2×C4 | — | 6 | 6 | no | — |
| 688 | C2×C4 | — | 9 | 3 | no | — |
| 689 | C2×C4 | — | 9 | 3 | no | — |
| 690 | C2×C4 | — | 9 | 3 | no | — |
| 691 | C2×C4 | — | 9 | 1 | no | — |
| 692 | C2×C4 | — | 9 | 3 | no | — |
| 693 | C2×C4 | — | 18 | 3 | no | — |
| 694 | C2×C4 | — | 18 | 3 | no | — |
| 695 | C2×C4 | — | 18 | 6 | no | — |
| 696 | C2×C4 | — | 18 | 3 | no | — |
| 697 | C2×C4 | — | 18 | 6 | no | — |
| 698 | C2×C4 | — | 18 | 6 | no | — |
| 699 | C2×C4 | — | 18 | 3 | no | — |
| 700 | C2×C4 | — | 18 | 3 | no | — |
| 701 | C2×C4 | — | 18 | 3 | no | — |
| 702 | C2×C4 | C22×D32 | 1 | 3 | yes | — |
| 703 | C8 | — | 3 | 2 | no | — |
| 704 | C8 | — | 3 | 6 | no | — |
| 705 | C2×C3 | — | 2 | 6 | no | — |
| 706 | C2×C3 | — | 2 | 1 | no | — |
| 707 | C2×C3 | — | 4 | 3 | no | — |
| 708 | C2×C3 | — | 4 | 2 | no | — |
| 709 | C2×C3 | — | 4 | 2 | no | — |
| 710 | C2×C3 | — | 12 | 2 | no | — |
| 711 | C2×C3 | C22×D3×D4 | 1 | 2 | yes | — |
| 712 | D3 | — | 3 | 4 | no | — |
| 713 | D3 | — | 4 | 2 | no | — |
| 714 | D3 | — | 6 | 2 | no | — |
| 715 | D3 | — | 6 | 6 | no | — |
| 716 | D3 | — | 12 | 3 | no | — |
| 717 | D3 | — | 12 | 2 | no | — |
| 718 | D3 | — | 12 | 2 | no | — |
| 719 | C22 | — | 2 | 1 | no | — |
| 720 | C22 | — | 6 | 2 | no | — |
| 721 | C22 | — | 9 | 1 | no | — |
| 722 | C22 | — | 9 | 3 | no | — |
| 723 | C22 | — | 18 | 6 | no | — |
| 724 | C22 | — | 18 | 1 | no | — |
| 725 | C22 | — | 36 | 2 | no | — |
| 726 | C22 | — | 36 | 2 | no | — |
| 727 | C22 | C2×#3811 | 1 | 3 | yes | — |
| 728 | C4 | — | 2 | 3 | no | — |
| 729 | C4 | — | 6 | 6 | no | — |
| 730 | C4 | — | 9 | 1 | no | — |
| 731 | C4 | — | 9 | 3 | no | — |
| 732 | C4 | — | 18 | 3 | no | — |
| 733 | C4 | C2×#3811 | 1 | 3 | yes | — |
| 734 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 735 | C3 | — | 2 | 1 | no | — |
| 736 | C3 | D3×#578 | 1 | 2 | yes | complemented |
| 737 | C2 | — | 2 | 3 | no | — |
| 738 | C2 | — | 4 | 1 | no | — |
| 739 | C2 | — | 9 | 2 | no | — |
| 740 | C2 | — | 12 | 2 | no | — |
| 741 | C2 | — | 18 | 3 | no | — |
| 742 | C2 | — | 36 | 1 | no | — |
| 743 | C2 | C22×#3811 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3⋊D3×2−1+4 | C2 | semidirect |
| 2. #10596694 | C2 | semidirect |
| 3. C3×#5838 | C2 | semidirect |
| 4. #10595472 | C2 | semidirect |
| 5. #10595468 | C2 | semidirect |
| 6. #10595459 | C2 | semidirect |
| 7. #10595450 | C2 | semidirect |
| 8. #10595442 | C2 | semidirect |
| 9. #10595337 | C2 | semidirect |
| 10. C2×#63944 | C2 | semidirect |
| 11. #10595322 | C2 | semidirect |
| 13. C32×2−1+4 | C22 | semidirect |
| 15. #64367 | C22 | semidirect |
| 16. #64367 | C22 | semidirect |
| 21. #64364 | C22 | semidirect |
| 24. C3×#1010 | C22 | semidirect |
| 31. #64297 | C22 | semidirect |
| 32. C3×#951 | C22 | semidirect |
| 33. C3×#950 | C22 | semidirect |
| 34. C3×#948 | C22 | semidirect |
| 35. C2×C3×#216 | C22 | semidirect |
| 36. C3×#942 | C22 | semidirect |
| 37. #63951 | C22 | semidirect |
| 38. #63950 | C22 | semidirect |
| 39. #63945 | C22 | semidirect |
| 42. #63944 | C22 | semidirect |
| 44. #63936 | C22 | semidirect |
| 45. #63931 | C22 | semidirect |
| 48. C2×#3719 | C22 | semidirect |
| 49. #63833 | C22 | semidirect |
| 50. #63831 | C22 | semidirect |
| 51. #63829 | C22 | semidirect |
| 53. #63817 | C22 | semidirect |
| 60. #5838 | D3 | semidirect |
| 143. C3×2−1+4 | C2×D3 | semidirect |
| 152. #1010 | C2×D3 | semidirect |
| 179. #951 | C2×D3 | semidirect |
| 181. #950 | C2×D3 | semidirect |
| 182. #948 | C2×D3 | semidirect |
| 184. C2×#216 | C2×D3 | semidirect |
| 186. #942 | C2×D3 | semidirect |
| 420. 2−1+4 | D32 | semidirect |
| 552. C3⋊D3 | #578 | semidirect |
| 654. C32 | C2×#578 | semidirect |
| 736. C3 | D3×#578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×2−1+4 | 2 |
| #10596694 | 2 |
| C3×#5838 | 2 |
| #10595472 | 2 |
| #10595468 | 2 |
| #10595459 | 2 |
| #10595450 | 2 |
| #10595442 | 2 |
| #10595337 | 2 |
| C2×#63944 | 2 |
| #10595322 | 2 |
| D3×#578 | 3 |