Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 237. C3×C5 | #1587 | semidirect |
| 272. C5 | #70935 | semidirect |
| 283. C3 | #10603976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×Q8×#170 | 2 |
| #11751823 | 2 |
| #11749244 | 2 |
| #11746801 | 2 |
| #11746512 | 2 |
| #11746494 | 2 |
| #11746487 | 2 |
| #10603976 | 3 |
| #70935 | 5 |