Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
368 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 1. C3×C5×#446 | C2 | semidirect |
| 2. #11751128 | C2 | semidirect |
| 4. #11746306 | C2 | semidirect |
| 5. #11746278 | C2 | semidirect |
| 19. C5×#446 | D3 | semidirect |
| 39. C3×#446 | D5 | semidirect |
| 70. C3×C5×C8 | SD16 | semidirect |
| 100. #446 | D15 | semidirect |
| 142. C5×C8 | #215 | semidirect |
| 173. C3×C8 | #688 | semidirect |
| 200. C3×C5 | #1688 | semidirect |
| 230. C8 | #6717 | semidirect |
| 235. C5 | #70959 | semidirect |
| 246. C3 | #10601752 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#446 | 2 |
| #11751128 | 2 |
| #11750796 | 2 |
| #11746306 | 2 |
| #11746278 | 2 |
| #10601752 | 3 |
| #70959 | 5 |