Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 528 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 |
|---|---|---|
| 2. #11751901 | C2 | semidirect |
| 3. #11751812 | C2 | semidirect |
| 4. #11746742 | C2 | semidirect |
| 5. C3×#64871 | C2 | semidirect |
| 6. #11746493 | C2 | semidirect |
| 7. #11746492 | C2 | semidirect |
| 35. #64871 | D3 | semidirect |
| 46. #6766 | C8 | semidirect |
| 105. C5×Dic6 | C2×C8 | semidirect |
| 109. C3×D20 | C2×C8 | semidirect |
| 241. D20 | D3×C8 | semidirect |
| 303. Dic6 | D5⋊C8 | semidirect |
| 356. C3×C5 | #1477 | semidirect |
| 414. C5 | #68166 | semidirect |
| 433. C3 | #10604437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753400 | 2 |
| #11751901 | 2 |
| #11751812 | 2 |
| #11746742 | 2 |
| C3×#64871 | 2 |
| #11746493 | 2 |
| #11746492 | 2 |
| #10604437 | 3 |
| #68166 | 5 |