Order 1152.
977 conjugacy classes of subgroups.
The subgroup lattice has 377 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #10590301 | C2 | direct (N × H) |
| 48. C2×C3×Dic6 | Q8 | semidirect |
| 118. C3×Dic6 | C2×Q8 | semidirect |
| 154. C2×Dic6 | Dic6 | semidirect |
| 260. Dic6 | C2×Dic6 | semidirect |
| 263. C2×C32 | #475 | semidirect |
| 324. C32 | C2×#475 | semidirect |
| 349. C2×C3 | #4851 | semidirect |
| 350. C2×C3 | #5020 | semidirect |
| 370. C3 | C2×#4851 | semidirect |
| 371. C3 | C2×#5020 | semidirect |
| 372. C2 | #10590301 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64078 | 2 |
| C2×C3×C4×Dic6 | 2 |
| C2×C3×C4⋊(C3⋊C8) | 2 |
| C2×#63573 | 2 |
| C2×#63566 | 2 |
| #10590301 | 2 |
| C2×#5020 | 3 |
| C2×#4851 | 3 |