Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
680 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 106 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. #11756985 | C2 | semidirect |
| 3. C3×#65777 | C2 | semidirect |
| 4. C2×#91174 | C2 | semidirect |
| 5. #11746575 | C2 | semidirect |
| 30. #65777 | D3 | semidirect |
| 53. #6762 | D4 | semidirect |
| 401. C3×C5 | #1914 | semidirect |
| 472. C5 | #70137 | semidirect |
| 495. C3 | #10604464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756985 | 2 |
| #11754940 | 2 |
| C3×#65777 | 2 |
| C2×#91174 | 2 |
| #11746575 | 2 |
| #10604464 | 3 |
| #70137 | 5 |