Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
724 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 148 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. C5×#5798 | C2 | semidirect |
| 3. C2×C3×#3965 | C2 | semidirect |
| 4. #11748428 | C2 | semidirect |
| 5. #11745971 | C2 | semidirect |
| 10. #91829 | C4 | semidirect |
| 12. #91825 | C4 | semidirect |
| 23. C2×#3965 | D3 | semidirect |
| 36. C2×D60 | C2×C4 | semidirect |
| 38. C2×Dic30 | C2×C4 | semidirect |
| 43. C4×Dic15 | C2×C4 | semidirect |
| 47. C4×C5×Dic3 | D4 | semidirect |
| 52. #5798 | D5 | semidirect |
| 175. C4×Dic3 | C22⋊D5 | semidirect |
| 281. C3×C5 | #1911 | semidirect |
| 332. C5 | #70071 | semidirect |
| 348. C3 | #10602445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756564 | 2 |
| C5×#5798 | 2 |
| C2×C3×#3965 | 2 |
| #11748428 | 2 |
| #11745971 | 2 |
| #10602445 | 3 |
| #70071 | 5 |