Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 320 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 |
|---|---|---|
| 48. #6662 | C8 | semidirect |
| 237. C3×C5 | #1579 | semidirect |
| 272. C5 | #68215 | semidirect |
| 283. C3 | #10599310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750931 | 2 |
| C4×#6662 | 2 |
| #11746846 | 2 |
| C5×#4480 | 2 |
| C3×#64704 | 2 |
| #11745845 | 2 |
| #11745832 | 2 |
| #10599310 | 3 |
| #68215 | 5 |