Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
465 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 465 conjugacy classes of subgroups — too many to draw. Only its 140 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 13. #63642 | C4 | semidirect |
| 14. C8×C3⋊Dic3 | C4 | semidirect |
| 15. #63554 | C4 | semidirect |
| 16. Dic3×C3⋊C8 | C4 | semidirect |
| 220. C32 | #1747 | semidirect |
| 251. C3 | #68697 | semidirect |
| 252. C3 | #68717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592821 | 2 |
| #10591057 | 2 |
| C3×C3⋊#338 | 2 |
| C3×#4557 | 2 |
| #10589158 | 2 |
| #68717 | 3 |
| #68697 | 3 |