Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
296 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 220. C3×C5 | #2103 | semidirect |
| 252. C5 | #68718 | semidirect |
| 262. C3 | #10599729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11748476 | 2 |
| #11748436 | 2 |
| #11746380 | 2 |
| C5×#4558 | 2 |
| C3×#64780 | 2 |
| #11745990 | 2 |
| #11745983 | 2 |
| #10599729 | 3 |
| #68718 | 5 |