Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
780 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 118 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. C2×D5⋊#208 | C2 | semidirect |
| 3. C3×#65755 | C2 | semidirect |
| 4. C2×#91174 | C2 | semidirect |
| 5. #11746574 | C2 | semidirect |
| 30. #65755 | D3 | semidirect |
| 56. #6762 | D4 | semidirect |
| 213. C2×C3×D5 | #100 | semidirect |
| 383. C2×D5 | #823 | semidirect |
| 428. C3×C5 | #1900 | semidirect |
| 511. C5 | #69985 | semidirect |
| 538. C3 | #10604249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5⋊#208 | 2 |
| C2×#91448 | 2 |
| C3×#65755 | 2 |
| C2×#91174 | 2 |
| #11746574 | 2 |
| #10604249 | 3 |
| #69985 | 5 |