Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
420 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #11756480 | C2 | semidirect |
| 5. #11746368 | C2 | semidirect |
| 6. #11746277 | C2 | semidirect |
| 7. #11746277 | C2 | semidirect |
| 102. Dic30 | SD16 | semidirect |
| 297. C3×C5 | #1626 | semidirect |
| 343. C5 | #71204 | semidirect |
| 358. C3 | #10601997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756480 | 2 |
| C3×C5×#486 | 2 |
| #11751176 | 2 |
| #11746368 | 2 |
| #11746277 | 2 |
| #10601997 | 3 |
| #71204 | 5 |