Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 4. #11746960 | C2 | semidirect |
| 5. C5×#4480 | C2 | semidirect |
| 6. C3×#64702 | C2 | semidirect |
| 7. #11745859 | C2 | semidirect |
| 31. #64702 | D3 | semidirect |
| 57. #4480 | D5 | semidirect |
| 93. C5×C3⋊C8 | SD16 | semidirect |
| 224. C3⋊C8 | #677 | semidirect |
| 256. C3×C5 | #1693 | semidirect |
| 297. C5 | #68451 | semidirect |
| 310. C3 | #10599335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750942 | 2 |
| #11747085 | 2 |
| #11747012 | 2 |
| #11746960 | 2 |
| C5×#4480 | 2 |
| C3×#64702 | 2 |
| #11745859 | 2 |
| #10599335 | 3 |
| #68451 | 5 |