Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
724 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 147 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. #11756557 | C2 | semidirect |
| 3. C2×C3×C5×#100 | C2 | semidirect |
| 4. #11751240 | C2 | semidirect |
| 5. #11746378 | C2 | semidirect |
| 12. #91829 | C4 | semidirect |
| 14. #91825 | C4 | semidirect |
| 23. C2×C5×#100 | D3 | semidirect |
| 37. C2×D60 | C2×C4 | semidirect |
| 39. C2×Dic30 | C2×C4 | semidirect |
| 49. C4×Dic15 | C2×C4 | semidirect |
| 50. C4×Dic15 | D4 | semidirect |
| 53. C2×C3×#100 | D5 | semidirect |
| 134. C2×#100 | D15 | semidirect |
| 281. C3×C5 | #1911 | semidirect |
| 332. C5 | #70071 | semidirect |
| 348. C3 | #10600864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756564 | 2 |
| #11756557 | 2 |
| C2×C3×C5×#100 | 2 |
| #11751240 | 2 |
| #11746378 | 2 |
| #10600864 | 3 |
| #70071 | 5 |