Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11750782 | C2 | semidirect |
| 5. C3×#64677 | C2 | semidirect |
| 6. #11745860 | C2 | semidirect |
| 7. #11745859 | C2 | semidirect |
| 31. #64677 | D3 | semidirect |
| 252. C3×C5 | #1679 | semidirect |
| 293. C5 | #68539 | semidirect |
| 306. C3 | #10601647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750782 | 2 |
| C5×C8×D12 | 2 |
| #11747077 | 2 |
| #11746964 | 2 |
| C3×#64677 | 2 |
| #11745860 | 2 |
| #11745859 | 2 |
| #10601647 | 3 |
| #68539 | 5 |