Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
741 conjugacy classes of subgroups.
The subgroup lattice has 741 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10594768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10594765 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592617 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4918 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×D3×Q32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10591049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10591047 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10591045 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10591043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D3×#829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10590246 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10590242 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10590238 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10590228 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #82041 | — | 3 | 1 | no | maximal |
| 17 | #82028 | — | 3 | 1 | no | maximal |
| 18 | #64316 | — | 2 | 1 | no | — |
| 19 | #64315 | — | 2 | 1 | no | — |
| 20 | #64128 | C22 | 1 | 1 | yes | characteristic |
| 21 | Q16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#919 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×D3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×D3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×D3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 26 | #63951 | — | 2 | 1 | no | — |
| 27 | #63948 | — | 2 | 1 | no | — |
| 28 | #63948 | — | 2 | 1 | no | — |
| 29 | #63946 | — | 2 | 1 | no | — |
| 30 | #63945 | — | 2 | 1 | no | — |
| 31 | #63943 | — | 2 | 1 | no | — |
| 32 | #63810 | C22 | 1 | 1 | yes | characteristic |
| 33 | #63808 | C22 | 1 | 1 | yes | characteristic |
| 34 | #63808 | C22 | 1 | 1 | yes | characteristic |
| 35 | #63807 | C22 | 1 | 1 | yes | characteristic |
| 36 | #63803 | C22 | 1 | 1 | yes | characteristic |
| 37 | #63802 | C22 | 1 | 1 | yes | characteristic |
| 38 | D3×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 39 | C32×Q32 | C22 | 1 | 1 | yes | characteristic |
| 40 | #63656 | C22 | 1 | 1 | yes | characteristic |
| 41 | #63655 | C22 | 1 | 1 | yes | characteristic |
| 42 | #63627 | C22 | 1 | 1 | yes | characteristic |
| 43 | #63625 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×#829 | C22 | 1 | 1 | yes | characteristic |
| 45 | C3×#829 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×#829 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#828 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×Dic24 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#800 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#798 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×D3×C16 | C22 | 1 | 1 | yes | characteristic |
| 52 | #63551 | C22 | 1 | 1 | yes | characteristic |
| 53 | #63551 | C22 | 1 | 1 | yes | characteristic |
| 54 | #63550 | C22 | 1 | 1 | yes | characteristic |
| 55 | #63549 | C22 | 1 | 1 | yes | characteristic |
| 56 | #63547 | C22 | 1 | 1 | yes | characteristic |
| 57 | #63546 | C22 | 1 | 1 | yes | characteristic |
| 58 | #63543 | C22 | 1 | 1 | yes | characteristic |
| 59 | #63542 | C22 | 1 | 1 | yes | characteristic |
| 60 | D3×C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 61 | #5771 | — | 3 | 1 | no | — |
| 62 | #5766 | — | 3 | 1 | no | — |
| 63 | #5766 | — | 3 | 1 | no | — |
| 64 | #5766 | — | 3 | 1 | no | — |
| 65 | C3×#510 | — | 3 | 1 | no | — |
| 66 | C2×C3×Q32 | — | 3 | 1 | no | — |
| 67 | #5194 | — | 3 | 1 | no | — |
| 68 | C2×#829 | — | 3 | 1 | no | — |
| 69 | #5179 | — | 3 | 1 | no | — |
| 70 | #5179 | — | 3 | 1 | no | — |
| 71 | #4919 | — | 3 | 1 | no | — |
| 72 | #4919 | — | 3 | 1 | no | — |
| 73 | #4918 | — | 3 | 1 | no | — |
| 74 | #4918 | — | 3 | 1 | no | — |
| 75 | #4918 | — | 3 | 1 | no | — |
| 76 | #4918 | — | 3 | 1 | no | — |
| 77 | #4918 | — | 3 | 1 | no | — |
| 78 | #4918 | — | 6 | 1 | no | — |
| 79 | #4918 | D3 | 1 | 1 | yes | characteristic, complemented |
| 80 | D3×Q32 | — | 3 | 1 | no | — |
| 81 | D3×Q32 | — | 3 | 1 | no | — |
| 82 | D3×Q32 | — | 3 | 1 | no | — |
| 83 | D3×Q32 | D3 | 1 | 1 | yes | characteristic, complemented |
| 84 | #4916 | — | 3 | 1 | no | — |
| 85 | #4916 | — | 3 | 1 | no | — |
| 86 | #4915 | — | 3 | 1 | no | — |
| 87 | #4915 | — | 3 | 1 | no | — |
| 88 | #4909 | — | 3 | 1 | no | — |
| 89 | #4907 | — | 3 | 1 | no | — |
| 90 | #4904 | — | 3 | 1 | no | — |
| 91 | #4901 | — | 3 | 1 | no | — |
| 92 | #3832 | — | 2 | 1 | no | — |
| 93 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 94 | C3×#239 | — | 2 | 1 | no | — |
| 95 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 96 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 97 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 98 | #3799 | — | 2 | 1 | no | — |
| 99 | #3799 | — | 2 | 1 | no | — |
| 100 | #3799 | — | 4 | 1 | no | — |
| 101 | #3799 | — | 4 | 1 | no | — |
| 102 | #3798 | — | 4 | 1 | no | — |
| 103 | #3798 | — | 4 | 1 | no | — |
| 104 | #3798 | D4 | 1 | 1 | yes | characteristic |
| 105 | #3797 | — | 2 | 1 | no | — |
| 106 | #3797 | — | 4 | 1 | no | — |
| 107 | #3796 | — | 2 | 1 | no | — |
| 108 | #3796 | — | 4 | 1 | no | — |
| 109 | #3795 | — | 2 | 1 | no | — |
| 110 | #3795 | — | 4 | 1 | no | — |
| 111 | D3×Dic6 | — | 2 | 1 | no | — |
| 112 | D3×Dic6 | — | 4 | 1 | no | — |
| 113 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 114 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 115 | #3756 | — | 2 | 1 | no | — |
| 116 | #3755 | — | 2 | 1 | no | — |
| 117 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 118 | #3745 | C23 | 1 | 1 | yes | characteristic |
| 119 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×#216 | — | 2 | 1 | no | — |
| 121 | C3×#216 | — | 2 | 1 | no | — |
| 122 | C3×#216 | — | 2 | 1 | no | — |
| 123 | C3×#215 | — | 2 | 1 | no | — |
| 124 | C3×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 125 | C3×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 126 | C3×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 127 | C3×D24 | C23 | 1 | 1 | yes | characteristic |
| 128 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 129 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 130 | #3719 | — | 2 | 1 | no | — |
| 131 | #3718 | — | 2 | 1 | no | — |
| 132 | #3717 | — | 2 | 1 | no | — |
| 133 | #3717 | — | 2 | 1 | no | — |
| 134 | #3716 | — | 2 | 1 | no | — |
| 135 | #3715 | — | 2 | 1 | no | — |
| 136 | #3712 | D4 | 1 | 1 | yes | characteristic |
| 137 | #3711 | D4 | 1 | 1 | yes | characteristic |
| 138 | #3711 | D4 | 1 | 1 | yes | characteristic |
| 139 | C32×C16 | C23 | 1 | 1 | yes | characteristic |
| 140 | C3⋊(C3⋊C16) | C23 | 1 | 1 | yes | characteristic |
| 141 | C3×C3⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 142 | C3×C3⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 143 | #3417 | — | 9 | 1 | no | Sylow |
| 144 | #1010 | — | 6 | 1 | no | — |
| 145 | #1007 | — | 6 | 1 | no | — |
| 146 | #1007 | — | 6 | 1 | no | — |
| 147 | #1007 | — | 6 | 1 | no | — |
| 148 | C3×#135 | — | 3 | 1 | no | — |
| 149 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 150 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 151 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 152 | #951 | — | 6 | 1 | no | — |
| 153 | #942 | — | 6 | 1 | no | — |
| 154 | #942 | — | 6 | 1 | no | — |
| 155 | #942 | — | 6 | 1 | no | — |
| 156 | #919 | — | 3 | 1 | no | — |
| 157 | #919 | — | 3 | 1 | no | — |
| 158 | #919 | — | 3 | 1 | no | — |
| 159 | #919 | — | 3 | 1 | no | — |
| 160 | #919 | — | 3 | 1 | no | — |
| 161 | #919 | — | 6 | 1 | no | — |
| 162 | #919 | C2×D3 | 1 | 1 | yes | characteristic |
| 163 | #918 | — | 6 | 1 | no | — |
| 164 | #918 | — | 6 | 1 | no | — |
| 165 | #918 | — | 6 | 1 | no | — |
| 166 | #918 | — | 6 | 1 | no | — |
| 167 | #918 | — | 6 | 1 | no | — |
| 168 | #918 | — | 6 | 1 | no | — |
| 169 | D3×Q16 | — | 3 | 1 | no | — |
| 170 | D3×Q16 | — | 3 | 1 | no | — |
| 171 | D3×Q16 | — | 3 | 1 | no | — |
| 172 | D3×Q16 | — | 3 | 1 | no | — |
| 173 | D3×Q16 | — | 3 | 1 | no | — |
| 174 | D3×Q16 | — | 6 | 1 | no | — |
| 175 | D3×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 176 | D3×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | D3×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | #915 | — | 6 | 1 | no | — |
| 179 | #915 | — | 6 | 1 | no | — |
| 180 | #912 | — | 3 | 1 | no | — |
| 181 | #912 | — | 3 | 1 | no | — |
| 182 | C2×Dic12 | — | 3 | 1 | no | — |
| 183 | #904 | — | 3 | 1 | no | — |
| 184 | #904 | — | 3 | 1 | no | — |
| 185 | #904 | — | 3 | 1 | no | — |
| 186 | #901 | — | 3 | 1 | no | — |
| 187 | #901 | — | 3 | 1 | no | — |
| 188 | C3×Q32 | — | 2 | 1 | no | — |
| 189 | C3×Q32 | — | 3 | 1 | no | — |
| 190 | C3×Q32 | — | 3 | 1 | no | — |
| 191 | C3×Q32 | — | 3 | 1 | no | — |
| 192 | C3×Q32 | — | 3 | 1 | no | — |
| 193 | C3×Q32 | C2×D3 | 1 | 1 | yes | characteristic |
| 194 | C3×Q32 | C2×D3 | 1 | 1 | yes | characteristic |
| 195 | C3×SD32 | — | 3 | 1 | no | — |
| 196 | C3×SD32 | — | 3 | 1 | no | — |
| 197 | C3×M32 | — | 3 | 1 | no | — |
| 198 | C2×C3×C16 | — | 3 | 1 | no | — |
| 199 | #829 | — | 3 | 1 | no | — |
| 200 | #829 | — | 3 | 1 | no | — |
| 201 | #829 | — | 3 | 1 | no | — |
| 202 | #829 | — | 3 | 1 | no | — |
| 203 | #829 | — | 3 | 1 | no | — |
| 204 | #829 | — | 3 | 1 | no | — |
| 205 | #829 | — | 6 | 1 | no | — |
| 206 | #829 | C2×D3 | 1 | 1 | yes | characteristic |
| 207 | #829 | C2×D3 | 1 | 1 | yes | characteristic |
| 208 | #829 | C2×D3 | 1 | 1 | yes | characteristic |
| 209 | #828 | — | 3 | 1 | no | — |
| 210 | #828 | — | 3 | 1 | no | — |
| 211 | #828 | — | 3 | 1 | no | — |
| 212 | #828 | — | 3 | 1 | no | — |
| 213 | #828 | — | 6 | 1 | no | — |
| 214 | #828 | C2×D3 | 1 | 1 | yes | characteristic |
| 215 | #827 | — | 3 | 1 | no | — |
| 216 | #826 | — | 3 | 1 | no | — |
| 217 | #812 | — | 3 | 1 | no | — |
| 218 | C2×C3⋊C16 | — | 3 | 1 | no | — |
| 219 | Dic24 | — | 3 | 1 | no | — |
| 220 | Dic24 | — | 3 | 1 | no | — |
| 221 | Dic24 | C2×D3 | 1 | 1 | yes | characteristic |
| 222 | #800 | — | 3 | 1 | no | — |
| 223 | #800 | — | 3 | 1 | no | — |
| 224 | #800 | — | 3 | 1 | no | — |
| 225 | #800 | — | 6 | 1 | no | — |
| 226 | #800 | C2×D3 | 1 | 1 | yes | characteristic |
| 227 | D48 | — | 3 | 1 | no | — |
| 228 | #798 | — | 3 | 1 | no | — |
| 229 | #798 | — | 3 | 1 | no | — |
| 230 | #798 | — | 3 | 1 | no | — |
| 231 | #798 | — | 6 | 1 | no | — |
| 232 | #798 | C2×D3 | 1 | 1 | yes | characteristic |
| 233 | D3×C16 | — | 3 | 1 | no | — |
| 234 | D3×C16 | — | 3 | 1 | no | — |
| 235 | D3×C16 | — | 3 | 1 | no | — |
| 236 | D3×C16 | C2×D3 | 1 | 1 | yes | characteristic |
| 237 | C32×Q8 | — | 2 | 1 | no | — |
| 238 | C32×Q8 | — | 2 | 1 | no | — |
| 239 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 240 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 241 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 242 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 243 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | #634 | — | 2 | 1 | no | — |
| 245 | #634 | — | 4 | 1 | no | — |
| 246 | C3×D12 | — | 2 | 1 | no | — |
| 247 | C3×D12 | — | 4 | 1 | no | — |
| 248 | C3×C4×D3 | — | 4 | 1 | no | — |
| 249 | C3×C4×D3 | — | 4 | 1 | no | — |
| 250 | C3×C4×D3 | — | 4 | 1 | no | — |
| 251 | C3×C4×D3 | — | 4 | 1 | no | — |
| 252 | C3×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C3×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C3×Dic6 | — | 2 | 1 | no | — |
| 255 | C3×Dic6 | — | 2 | 1 | no | — |
| 256 | C3×Dic6 | — | 2 | 1 | no | — |
| 257 | C3×Dic6 | — | 4 | 1 | no | — |
| 258 | C3×Dic6 | — | 4 | 1 | no | — |
| 259 | C3×Dic6 | — | 4 | 1 | no | — |
| 260 | #627 | — | 4 | 1 | no | — |
| 261 | #627 | — | 4 | 1 | no | — |
| 262 | #627 | D8 | 1 | 1 | yes | characteristic |
| 263 | #626 | — | 4 | 1 | no | — |
| 264 | #626 | — | 4 | 1 | no | — |
| 265 | #626 | — | 4 | 1 | no | — |
| 266 | #626 | D8 | 1 | 1 | yes | characteristic |
| 267 | #626 | D8 | 1 | 1 | yes | characteristic |
| 268 | #625 | — | 4 | 1 | no | — |
| 269 | #625 | D8 | 1 | 1 | yes | characteristic |
| 270 | #624 | — | 4 | 1 | no | — |
| 271 | #624 | — | 4 | 1 | no | — |
| 272 | #624 | — | 4 | 1 | no | — |
| 273 | D3×Dic3 | — | 4 | 1 | no | — |
| 274 | D3×Dic3 | — | 4 | 1 | no | — |
| 275 | D3×Dic3 | — | 4 | 1 | no | — |
| 276 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 277 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | #578 | — | 9 | 1 | no | — |
| 281 | #578 | — | 9 | 1 | no | — |
| 282 | #510 | — | 3 | 1 | no | — |
| 283 | #510 | — | 9 | 1 | no | — |
| 284 | #510 | — | 9 | 1 | no | — |
| 285 | #510 | — | 9 | 1 | no | — |
| 286 | #510 | — | 9 | 1 | no | — |
| 287 | #510 | — | 9 | 1 | no | — |
| 288 | #508 | — | 9 | 1 | no | — |
| 289 | #508 | — | 9 | 1 | no | — |
| 290 | #508 | — | 9 | 1 | no | — |
| 291 | C2×Q32 | — | 3 | 1 | no | — |
| 292 | C2×Q32 | — | 9 | 1 | no | — |
| 293 | C2×Q32 | — | 9 | 1 | no | — |
| 294 | #504 | — | 9 | 1 | no | — |
| 295 | C3×#41 | — | 6 | 1 | no | — |
| 296 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 297 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 298 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 299 | #239 | — | 2 | 1 | no | — |
| 300 | #239 | — | 6 | 1 | no | — |
| 301 | #239 | — | 6 | 1 | no | — |
| 302 | #239 | — | 6 | 1 | no | — |
| 303 | #239 | — | 6 | 1 | no | — |
| 304 | #239 | — | 6 | 1 | no | — |
| 305 | #239 | — | 12 | 1 | no | — |
| 306 | #239 | — | 12 | 1 | no | — |
| 307 | #239 | — | 12 | 1 | no | — |
| 308 | #239 | — | 12 | 1 | no | — |
| 309 | D3×Q8 | — | 2 | 1 | no | — |
| 310 | D3×Q8 | — | 2 | 1 | no | — |
| 311 | D3×Q8 | — | 2 | 1 | no | — |
| 312 | D3×Q8 | — | 6 | 1 | no | — |
| 313 | D3×Q8 | — | 6 | 1 | no | — |
| 314 | D3×Q8 | — | 6 | 1 | no | — |
| 315 | D3×Q8 | — | 6 | 1 | no | — |
| 316 | D3×Q8 | — | 6 | 1 | no | — |
| 317 | D3×Q8 | — | 12 | 1 | no | — |
| 318 | D3×Q8 | — | 12 | 1 | no | — |
| 319 | D3×Q8 | — | 12 | 1 | no | — |
| 320 | D3×Q8 | — | 12 | 1 | no | — |
| 321 | #237 | — | 6 | 1 | no | — |
| 322 | #237 | — | 6 | 1 | no | — |
| 323 | #237 | — | 12 | 1 | no | — |
| 324 | #237 | — | 12 | 1 | no | — |
| 325 | #235 | — | 3 | 1 | no | — |
| 326 | #235 | — | 3 | 1 | no | — |
| 327 | #235 | — | 6 | 1 | no | — |
| 328 | #235 | — | 6 | 1 | no | — |
| 329 | #235 | — | 6 | 1 | no | — |
| 330 | #235 | — | 12 | 1 | no | — |
| 331 | #235 | — | 12 | 1 | no | — |
| 332 | #235 | — | 12 | 1 | no | — |
| 333 | #235 | — | 12 | 1 | no | — |
| 334 | #235 | — | 12 | 1 | no | — |
| 335 | #235 | — | 12 | 1 | no | — |
| 336 | #235 | — | 12 | 1 | no | — |
| 337 | C2×Dic6 | — | 6 | 1 | no | — |
| 338 | C2×Dic6 | — | 12 | 1 | no | — |
| 339 | C3×Q16 | — | 2 | 1 | no | — |
| 340 | C3×Q16 | — | 2 | 1 | no | — |
| 341 | C3×Q16 | — | 3 | 1 | no | — |
| 342 | C3×Q16 | — | 3 | 1 | no | — |
| 343 | C3×Q16 | — | 3 | 1 | no | — |
| 344 | C3×Q16 | — | 6 | 1 | no | — |
| 345 | C3×Q16 | — | 6 | 1 | no | — |
| 346 | C3×Q16 | — | 6 | 1 | no | — |
| 347 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 348 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 349 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | C3×SD16 | — | 6 | 1 | no | — |
| 352 | C3×D8 | — | 3 | 1 | no | — |
| 353 | C2×C3×C8 | — | 3 | 1 | no | — |
| 354 | C2×C3×C8 | — | 3 | 1 | no | — |
| 355 | #216 | — | 2 | 1 | no | — |
| 356 | #216 | — | 2 | 1 | no | — |
| 357 | #216 | — | 2 | 1 | no | — |
| 358 | #216 | — | 6 | 1 | no | — |
| 359 | #216 | — | 6 | 1 | no | — |
| 360 | #216 | — | 6 | 1 | no | — |
| 361 | #216 | — | 6 | 1 | no | — |
| 362 | #216 | — | 6 | 1 | no | — |
| 363 | #216 | — | 12 | 1 | no | — |
| 364 | #215 | — | 2 | 1 | no | — |
| 365 | #215 | — | 6 | 1 | no | — |
| 366 | #215 | — | 6 | 1 | no | — |
| 367 | #215 | — | 6 | 1 | no | — |
| 368 | #215 | — | 6 | 1 | no | — |
| 369 | #215 | — | 6 | 1 | no | — |
| 370 | #215 | — | 12 | 1 | no | — |
| 371 | #214 | — | 6 | 1 | no | — |
| 372 | #214 | — | 6 | 1 | no | — |
| 373 | #208 | — | 3 | 1 | no | — |
| 374 | #208 | — | 3 | 1 | no | — |
| 375 | Dic12 | — | 3 | 1 | no | — |
| 376 | Dic12 | — | 3 | 1 | no | — |
| 377 | Dic12 | — | 6 | 1 | no | — |
| 378 | Dic12 | — | 6 | 1 | no | — |
| 379 | Dic12 | C22×D3 | 1 | 1 | yes | characteristic |
| 380 | Dic12 | C22×D3 | 1 | 1 | yes | characteristic |
| 381 | Dic12 | C22×D3 | 1 | 1 | yes | characteristic |
| 382 | D24 | — | 3 | 1 | no | — |
| 383 | D24 | — | 3 | 1 | no | — |
| 384 | D24 | — | 6 | 1 | no | — |
| 385 | D24 | C22×D3 | 1 | 1 | yes | characteristic |
| 386 | #204 | — | 6 | 1 | no | — |
| 387 | #204 | — | 6 | 1 | no | — |
| 388 | #204 | — | 6 | 1 | no | — |
| 389 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 390 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 391 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 392 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 393 | D3×C8 | — | 3 | 1 | no | — |
| 394 | D3×C8 | — | 3 | 1 | no | — |
| 395 | D3×C8 | — | 6 | 1 | no | — |
| 396 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 397 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 398 | C3×C16 | — | 2 | 1 | no | — |
| 399 | C3×C16 | — | 3 | 1 | no | — |
| 400 | C3×C16 | — | 3 | 1 | no | — |
| 401 | C3×C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 402 | C3×C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 403 | C3⋊C16 | — | 3 | 1 | no | — |
| 404 | C3⋊C16 | — | 3 | 1 | no | — |
| 405 | C3⋊C16 | — | 6 | 1 | no | — |
| 406 | C3⋊C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 407 | C3⋊C16 | C22×D3 | 1 | 1 | yes | characteristic |
| 408 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 409 | C2×C3⋊D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 410 | C2×C3×D3 | — | 4 | 1 | no | — |
| 411 | C2×C3×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 412 | C2×C3×D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 413 | C32×C4 | — | 4 | 1 | no | — |
| 414 | C32×C4 | — | 4 | 1 | no | — |
| 415 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 416 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 417 | C3⋊Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 418 | C3×Dic3 | — | 4 | 1 | no | — |
| 419 | C3×Dic3 | — | 4 | 1 | no | — |
| 420 | C3×Dic3 | — | 4 | 1 | no | — |
| 421 | C3×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 422 | C3×Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 423 | 2−1+4 | — | 18 | 1 | no | — |
| 424 | 2−1+4 | — | 18 | 1 | no | — |
| 425 | #137 | — | 18 | 1 | no | — |
| 426 | #137 | — | 18 | 1 | no | — |
| 427 | #137 | — | 18 | 1 | no | — |
| 428 | #137 | — | 18 | 1 | no | — |
| 429 | #137 | — | 18 | 1 | no | — |
| 430 | #137 | — | 18 | 1 | no | — |
| 431 | #135 | — | 3 | 1 | no | — |
| 432 | #135 | — | 9 | 1 | no | — |
| 433 | #135 | — | 9 | 1 | no | — |
| 434 | #135 | — | 9 | 1 | no | — |
| 435 | #135 | — | 9 | 1 | no | — |
| 436 | #135 | — | 9 | 1 | no | — |
| 437 | C2×Q16 | — | 3 | 1 | no | — |
| 438 | C2×Q16 | — | 3 | 1 | no | — |
| 439 | C2×Q16 | — | 3 | 1 | no | — |
| 440 | C2×Q16 | — | 9 | 1 | no | — |
| 441 | C2×Q16 | — | 9 | 1 | no | — |
| 442 | C2×Q16 | — | 9 | 1 | no | — |
| 443 | #131 | — | 9 | 1 | no | — |
| 444 | Q32 | — | 3 | 1 | no | — |
| 445 | Q32 | — | 3 | 1 | no | — |
| 446 | Q32 | — | 3 | 1 | no | — |
| 447 | Q32 | — | 3 | 1 | no | — |
| 448 | Q32 | — | 9 | 1 | no | — |
| 449 | Q32 | — | 9 | 1 | no | — |
| 450 | Q32 | — | 9 | 1 | no | — |
| 451 | Q32 | — | 9 | 1 | no | — |
| 452 | Q32 | D32 | 1 | 1 | yes | characteristic |
| 453 | SD32 | — | 3 | 1 | no | — |
| 454 | SD32 | — | 3 | 1 | no | — |
| 455 | SD32 | — | 9 | 1 | no | — |
| 456 | SD32 | — | 9 | 1 | no | — |
| 457 | SD32 | — | 9 | 1 | no | — |
| 458 | SD32 | — | 9 | 1 | no | — |
| 459 | D16 | — | 9 | 1 | no | — |
| 460 | M32 | — | 3 | 1 | no | — |
| 461 | M32 | — | 9 | 1 | no | — |
| 462 | M32 | — | 9 | 1 | no | — |
| 463 | C2×C16 | — | 3 | 1 | no | — |
| 464 | C2×C16 | — | 9 | 1 | no | — |
| 465 | C2×C16 | — | 9 | 1 | no | — |
| 466 | C3×Q8 | — | 2 | 1 | no | — |
| 467 | C3×Q8 | — | 2 | 1 | no | — |
| 468 | C3×Q8 | — | 2 | 1 | no | — |
| 469 | C3×Q8 | — | 2 | 1 | no | — |
| 470 | C3×Q8 | — | 4 | 1 | no | — |
| 471 | C3×Q8 | — | 4 | 1 | no | — |
| 472 | C3×Q8 | — | 6 | 1 | no | — |
| 473 | C3×Q8 | — | 6 | 1 | no | — |
| 474 | C3×Q8 | — | 6 | 1 | no | — |
| 475 | C3×Q8 | — | 12 | 1 | no | — |
| 476 | C3×Q8 | — | 12 | 1 | no | — |
| 477 | C3×Q8 | — | 12 | 1 | no | — |
| 478 | C3×D4 | — | 6 | 1 | no | — |
| 479 | C3×D4 | — | 12 | 1 | no | — |
| 480 | C2×C3×C4 | — | 3 | 1 | no | — |
| 481 | C2×C3×C4 | — | 3 | 1 | no | — |
| 482 | C2×C3×C4 | — | 12 | 1 | no | — |
| 483 | C2×C3×C4 | — | 12 | 1 | no | — |
| 484 | C2×C3×C4 | — | 12 | 1 | no | — |
| 485 | C2×C3×C4 | — | 12 | 1 | no | — |
| 486 | #67 | — | 3 | 1 | no | — |
| 487 | #67 | — | 3 | 1 | no | — |
| 488 | #67 | — | 3 | 1 | no | — |
| 489 | #67 | — | 3 | 1 | no | — |
| 490 | #67 | — | 12 | 1 | no | — |
| 491 | #67 | — | 12 | 1 | no | — |
| 492 | #67 | — | 12 | 1 | no | — |
| 493 | #67 | — | 12 | 1 | no | — |
| 494 | #67 | — | 12 | 1 | no | — |
| 495 | C2×Dic3 | — | 12 | 1 | no | — |
| 496 | C2×Dic3 | — | 12 | 1 | no | — |
| 497 | C2×Dic3 | — | 12 | 1 | no | — |
| 498 | D12 | — | 2 | 1 | no | — |
| 499 | D12 | — | 3 | 1 | no | — |
| 500 | D12 | — | 3 | 1 | no | — |
| 501 | D12 | — | 4 | 1 | no | — |
| 502 | D12 | — | 6 | 1 | no | — |
| 503 | D12 | — | 6 | 1 | no | — |
| 504 | D12 | — | 12 | 1 | no | — |
| 505 | D12 | — | 12 | 1 | no | — |
| 506 | D12 | — | 12 | 1 | no | — |
| 507 | D12 | — | 12 | 1 | no | — |
| 508 | D12 | — | 12 | 1 | no | — |
| 509 | D12 | — | 12 | 1 | no | — |
| 510 | D12 | — | 24 | 1 | no | — |
| 511 | C4×D3 | — | 3 | 1 | no | — |
| 512 | C4×D3 | — | 3 | 1 | no | — |
| 513 | C4×D3 | — | 4 | 1 | no | — |
| 514 | C4×D3 | — | 4 | 1 | no | — |
| 515 | C4×D3 | — | 4 | 1 | no | — |
| 516 | C4×D3 | — | 4 | 1 | no | — |
| 517 | C4×D3 | — | 6 | 1 | no | — |
| 518 | C4×D3 | — | 12 | 1 | no | — |
| 519 | C4×D3 | — | 12 | 1 | no | — |
| 520 | C4×D3 | — | 12 | 1 | no | — |
| 521 | C4×D3 | — | 12 | 1 | no | — |
| 522 | C4×D3 | — | 12 | 1 | no | — |
| 523 | C4×D3 | — | 12 | 1 | no | — |
| 524 | C4×D3 | — | 12 | 1 | no | — |
| 525 | C4×D3 | — | 12 | 1 | no | — |
| 526 | C4×D3 | — | 12 | 1 | no | — |
| 527 | C4×D3 | — | 12 | 1 | no | — |
| 528 | C4×D3 | — | 12 | 1 | no | — |
| 529 | C4×D3 | — | 12 | 1 | no | — |
| 530 | C4×D3 | — | 12 | 1 | no | — |
| 531 | C4×D3 | — | 24 | 1 | no | — |
| 532 | C4×D3 | — | 24 | 1 | no | — |
| 533 | C4×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 534 | C4×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 535 | Dic6 | — | 2 | 1 | no | — |
| 536 | Dic6 | — | 2 | 1 | no | — |
| 537 | Dic6 | — | 2 | 1 | no | — |
| 538 | Dic6 | — | 3 | 1 | no | — |
| 539 | Dic6 | — | 3 | 1 | no | — |
| 540 | Dic6 | — | 4 | 1 | no | — |
| 541 | Dic6 | — | 4 | 1 | no | — |
| 542 | Dic6 | — | 4 | 1 | no | — |
| 543 | Dic6 | — | 6 | 1 | no | — |
| 544 | Dic6 | — | 6 | 1 | no | — |
| 545 | Dic6 | — | 12 | 1 | no | — |
| 546 | Dic6 | — | 12 | 1 | no | — |
| 547 | Dic6 | — | 12 | 1 | no | — |
| 548 | Dic6 | — | 12 | 1 | no | — |
| 549 | Dic6 | — | 12 | 1 | no | — |
| 550 | Dic6 | — | 12 | 1 | no | — |
| 551 | Dic6 | — | 12 | 1 | no | — |
| 552 | Dic6 | — | 24 | 1 | no | — |
| 553 | C3×C8 | — | 2 | 1 | no | — |
| 554 | C3×C8 | — | 3 | 1 | no | — |
| 555 | C3×C8 | — | 3 | 1 | no | — |
| 556 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 557 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 558 | C3⋊C8 | — | 3 | 1 | no | — |
| 559 | C3⋊C8 | — | 3 | 1 | no | — |
| 560 | C3⋊C8 | — | 6 | 1 | no | — |
| 561 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 562 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 563 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 564 | C3⋊D3 | — | 2 | 1 | no | — |
| 565 | C3⋊D3 | — | 8 | 1 | no | — |
| 566 | C3×D3 | — | 2 | 1 | no | — |
| 567 | C3×D3 | — | 2 | 1 | no | — |
| 568 | C3×D3 | — | 8 | 1 | no | — |
| 569 | #41 | — | 6 | 1 | no | — |
| 570 | #41 | — | 9 | 1 | no | — |
| 571 | #41 | — | 18 | 1 | no | — |
| 572 | #41 | — | 18 | 1 | no | — |
| 573 | #41 | — | 18 | 1 | no | — |
| 574 | #41 | — | 18 | 1 | no | — |
| 575 | #41 | — | 18 | 1 | no | — |
| 576 | #41 | — | 36 | 1 | no | — |
| 577 | #41 | — | 36 | 1 | no | — |
| 578 | #41 | — | 36 | 1 | no | — |
| 579 | #41 | — | 36 | 1 | no | — |
| 580 | #41 | — | 36 | 1 | no | — |
| 581 | #41 | — | 36 | 1 | no | — |
| 582 | C2×Q8 | — | 6 | 1 | no | — |
| 583 | C2×Q8 | — | 6 | 1 | no | — |
| 584 | C2×Q8 | — | 6 | 1 | no | — |
| 585 | C2×Q8 | — | 18 | 1 | no | — |
| 586 | C2×Q8 | — | 18 | 1 | no | — |
| 587 | C2×Q8 | — | 18 | 1 | no | — |
| 588 | C2×Q8 | — | 36 | 1 | no | — |
| 589 | C2×Q8 | — | 36 | 1 | no | — |
| 590 | Q16 | — | 3 | 1 | no | — |
| 591 | Q16 | — | 3 | 1 | no | — |
| 592 | Q16 | — | 3 | 1 | no | — |
| 593 | Q16 | — | 6 | 1 | no | — |
| 594 | Q16 | — | 6 | 1 | no | — |
| 595 | Q16 | — | 6 | 1 | no | — |
| 596 | Q16 | — | 9 | 1 | no | — |
| 597 | Q16 | — | 18 | 1 | no | — |
| 598 | Q16 | — | 18 | 1 | no | — |
| 599 | Q16 | — | 18 | 1 | no | — |
| 600 | Q16 | C2×D32 | 1 | 1 | yes | characteristic |
| 601 | Q16 | C2×D32 | 1 | 1 | yes | characteristic |
| 602 | SD16 | — | 6 | 1 | no | — |
| 603 | SD16 | — | 18 | 1 | no | — |
| 604 | SD16 | — | 18 | 1 | no | — |
| 605 | SD16 | — | 18 | 1 | no | — |
| 606 | SD16 | — | 18 | 1 | no | — |
| 607 | SD16 | — | 18 | 1 | no | — |
| 608 | D8 | — | 3 | 1 | no | — |
| 609 | D8 | — | 9 | 1 | no | — |
| 610 | M16 | — | 9 | 1 | no | — |
| 611 | M16 | — | 9 | 1 | no | — |
| 612 | M16 | — | 9 | 1 | no | — |
| 613 | C2×C8 | — | 3 | 1 | no | — |
| 614 | C2×C8 | — | 3 | 1 | no | — |
| 615 | C2×C8 | — | 9 | 1 | no | — |
| 616 | C16 | — | 3 | 1 | no | — |
| 617 | C16 | — | 3 | 1 | no | — |
| 618 | C16 | — | 9 | 1 | no | — |
| 619 | C16 | C2×D32 | 1 | 1 | yes | characteristic |
| 620 | C22×C3 | — | 3 | 1 | no | — |
| 621 | C22×C3 | — | 3 | 1 | no | — |
| 622 | C22×C3 | — | 12 | 1 | no | — |
| 623 | C2×D3 | — | 3 | 1 | no | — |
| 624 | C2×D3 | — | 3 | 1 | no | — |
| 625 | C2×D3 | — | 4 | 1 | no | — |
| 626 | C2×D3 | — | 6 | 1 | no | — |
| 627 | C2×D3 | — | 12 | 1 | no | — |
| 628 | C2×D3 | — | 12 | 1 | no | — |
| 629 | C2×D3 | — | 24 | 1 | no | — |
| 630 | C2×D3 | D3×D8 | 1 | 1 | yes | characteristic |
| 631 | C2×D3 | D3×D8 | 1 | 1 | yes | characteristic |
| 632 | C3×C4 | — | 2 | 1 | no | — |
| 633 | C3×C4 | — | 3 | 1 | no | — |
| 634 | C3×C4 | — | 3 | 1 | no | — |
| 635 | C3×C4 | — | 4 | 1 | no | — |
| 636 | C3×C4 | — | 4 | 1 | no | — |
| 637 | C3×C4 | — | 4 | 1 | no | — |
| 638 | C3×C4 | — | 4 | 1 | no | — |
| 639 | C3×C4 | — | 8 | 1 | no | — |
| 640 | C3×C4 | — | 8 | 1 | no | — |
| 641 | C3×C4 | — | 12 | 1 | no | — |
| 642 | C3×C4 | — | 12 | 1 | no | — |
| 643 | C3×C4 | — | 12 | 1 | no | — |
| 644 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 645 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 646 | Dic3 | — | 3 | 1 | no | — |
| 647 | Dic3 | — | 3 | 1 | no | — |
| 648 | Dic3 | — | 4 | 1 | no | — |
| 649 | Dic3 | — | 4 | 1 | no | — |
| 650 | Dic3 | — | 4 | 1 | no | — |
| 651 | Dic3 | — | 6 | 1 | no | — |
| 652 | Dic3 | — | 12 | 1 | no | — |
| 653 | Dic3 | — | 12 | 1 | no | — |
| 654 | Dic3 | — | 24 | 1 | no | — |
| 655 | Dic3 | D3×D8 | 1 | 1 | yes | characteristic |
| 656 | Dic3 | D3×D8 | 1 | 1 | yes | characteristic |
| 657 | C32 | #3417 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 658 | Q8 | — | 2 | 1 | no | — |
| 659 | Q8 | — | 2 | 1 | no | — |
| 660 | Q8 | — | 6 | 1 | no | — |
| 661 | Q8 | — | 6 | 1 | no | — |
| 662 | Q8 | — | 6 | 1 | no | — |
| 663 | Q8 | — | 9 | 1 | no | — |
| 664 | Q8 | — | 12 | 1 | no | — |
| 665 | Q8 | — | 12 | 1 | no | — |
| 666 | Q8 | — | 12 | 1 | no | — |
| 667 | Q8 | — | 18 | 1 | no | — |
| 668 | Q8 | — | 36 | 1 | no | — |
| 669 | Q8 | — | 36 | 1 | no | — |
| 670 | Q8 | — | 36 | 1 | no | — |
| 671 | D4 | — | 6 | 1 | no | — |
| 672 | D4 | — | 9 | 1 | no | — |
| 673 | D4 | — | 9 | 1 | no | — |
| 674 | D4 | — | 9 | 1 | no | — |
| 675 | D4 | — | 12 | 1 | no | — |
| 676 | D4 | — | 18 | 1 | no | — |
| 677 | D4 | — | 36 | 1 | no | — |
| 678 | D4 | — | 36 | 1 | no | — |
| 679 | D4 | — | 36 | 1 | no | — |
| 680 | D4 | — | 36 | 1 | no | — |
| 681 | D4 | — | 36 | 1 | no | — |
| 682 | C2×C4 | — | 3 | 1 | no | — |
| 683 | C2×C4 | — | 3 | 1 | no | — |
| 684 | C2×C4 | — | 9 | 1 | no | — |
| 685 | C2×C4 | — | 12 | 1 | no | — |
| 686 | C2×C4 | — | 12 | 1 | no | — |
| 687 | C2×C4 | — | 12 | 1 | no | — |
| 688 | C2×C4 | — | 12 | 1 | no | — |
| 689 | C2×C4 | — | 36 | 1 | no | — |
| 690 | C2×C4 | — | 36 | 1 | no | — |
| 691 | C2×C4 | — | 36 | 1 | no | — |
| 692 | C2×C4 | — | 36 | 1 | no | — |
| 693 | C2×C4 | — | 36 | 1 | no | — |
| 694 | C2×C4 | — | 36 | 1 | no | — |
| 695 | C2×C4 | — | 36 | 1 | no | — |
| 696 | C2×C4 | — | 36 | 1 | no | — |
| 697 | C8 | — | 3 | 1 | no | — |
| 698 | C8 | — | 3 | 1 | no | — |
| 699 | C8 | — | 9 | 1 | no | — |
| 700 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 701 | C2×C3 | — | 2 | 1 | no | — |
| 702 | C2×C3 | — | 6 | 1 | no | — |
| 703 | C2×C3 | — | 6 | 1 | no | — |
| 704 | C2×C3 | — | 24 | 1 | no | — |
| 705 | C2×C3 | C2×D3×D8 | 1 | 1 | yes | characteristic |
| 706 | C2×C3 | C2×D3×D8 | 1 | 1 | yes | characteristic |
| 707 | D3 | — | 2 | 1 | no | — |
| 708 | D3 | — | 2 | 1 | no | — |
| 709 | D3 | — | 6 | 1 | no | — |
| 710 | D3 | — | 6 | 1 | no | — |
| 711 | D3 | — | 8 | 1 | no | — |
| 712 | D3 | — | 12 | 1 | no | — |
| 713 | D3 | — | 24 | 1 | no | — |
| 714 | D3 | — | 24 | 1 | no | — |
| 715 | D3 | — | 48 | 1 | no | — |
| 716 | C22 | — | 3 | 1 | no | — |
| 717 | C22 | — | 3 | 1 | no | — |
| 718 | C22 | — | 9 | 1 | no | — |
| 719 | C22 | — | 12 | 1 | no | — |
| 720 | C22 | — | 36 | 1 | no | — |
| 721 | C4 | — | 3 | 1 | no | — |
| 722 | C4 | — | 3 | 1 | no | — |
| 723 | C4 | — | 4 | 1 | no | — |
| 724 | C4 | — | 4 | 1 | no | — |
| 725 | C4 | — | 9 | 1 | no | — |
| 726 | C4 | — | 12 | 1 | no | — |
| 727 | C4 | — | 12 | 1 | no | — |
| 728 | C4 | — | 12 | 1 | no | — |
| 729 | C4 | — | 36 | 1 | no | — |
| 730 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 731 | C3 | — | 2 | 1 | no | — |
| 732 | C3 | #82028 | 1 | 1 | yes | characteristic, complemented |
| 733 | C3 | #82041 | 1 | 1 | yes | characteristic, complemented |
| 734 | C2 | — | 6 | 1 | no | — |
| 735 | C2 | — | 6 | 1 | no | — |
| 736 | C2 | — | 18 | 1 | no | — |
| 737 | C2 | — | 24 | 1 | no | — |
| 738 | C2 | — | 72 | 1 | no | — |
| 739 | C2 | D32×D8 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10594768 | C2 | semidirect |
| 2. #10594765 | C2 | semidirect |
| 3. #10592617 | C2 | semidirect |
| 4. C3×#4918 | C2 | semidirect |
| 5. C3×D3×Q32 | C2 | semidirect |
| 6. #10591049 | C2 | semidirect |
| 7. #10591048 | C2 | semidirect |
| 8. #10591047 | C2 | semidirect |
| 9. #10591045 | C2 | semidirect |
| 10. #10591043 | C2 | semidirect |
| 11. D3×#829 | C2 | semidirect |
| 12. #10590246 | C2 | semidirect |
| 13. #10590242 | C2 | semidirect |
| 14. #10590238 | C2 | semidirect |
| 15. #10590228 | C2 | semidirect |
| 79. #4918 | D3 | semidirect |
| 83. D3×Q32 | D3 | semidirect |
| 657. C32 | #3417 | semidirect |
| 732. C3 | #82028 | semidirect |
| 733. C3 | #82041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10594768 | 2 |
| #10594765 | 2 |
| #10592617 | 2 |
| C3×#4918 | 2 |
| C3×D3×Q32 | 2 |
| #10591049 | 2 |
| #10591048 | 2 |
| #10591047 | 2 |
| #10591045 | 2 |
| #10591043 | 2 |
| D3×#829 | 2 |
| #10590246 | 2 |
| #10590242 | 2 |
| #10590238 | 2 |
| #10590228 | 2 |
| #82041 | 3 |
| #82028 | 3 |