Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
395 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 395 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
| 211. C32 | #1841 | semidirect |
| 243. C3 | #68696 | semidirect |
| 244. C3 | #68716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| M16×C3⋊Dic3 | 2 |
| C3×C3⋊#338 | 2 |
| C3×#4557 | 2 |
| #10589170 | 2 |
| #10589160 | 2 |
| #68716 | 3 |
| #68696 | 3 |