Order 1152.
1836 conjugacy classes of subgroups.
The subgroup lattice has 375 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 14. C2×C32×C4⋊C4 | C4 | semidirect |
| 19. #63658 | C4 | semidirect |
| 65. C2×C3×C4⋊C4 | Dic3 | semidirect |
| 93. C2×C32×C4 | C42 | semidirect |
| 108. C2×C3⋊Dic3 | C4⋊C4 | semidirect |
| 179. C2×C4⋊C4 | C3⋊Dic3 | semidirect |
| 207. C2×C3×C4 | C4×Dic3 | semidirect |
| 290. C32 | #1436 | semidirect |
| 327. C2×C4 | C4×C3⋊Dic3 | semidirect |
| 364. C3 | #71564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C32×C4⋊C4 | 2 |
| C22×C4×C3⋊Dic3 | 2 |
| C2×#63658 | 2 |
| #71564 | 3 |