Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
300 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 103 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 | #1680 | semidirect |
| 272. C5 | #70946 | semidirect |
| 283. C3 | #10601739 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×C8×Q8 | 2 |
| #11751132 | 2 |
| #11751121 | 2 |
| #11750782 | 2 |
| #11746307 | 2 |
| #11746303 | 2 |
| #11746278 | 2 |
| #10601739 | 3 |
| #70946 | 5 |