Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 320 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 |
|---|---|---|
| 4. #11750781 | C2 | semidirect |
| 5. #11746307 | C2 | semidirect |
| 6. #11746302 | C2 | semidirect |
| 7. #11746279 | C2 | semidirect |
| 89. C3×C5×C8 | SD16 | semidirect |
| 178. C5×C8 | #214 | semidirect |
| 216. C3×C8 | #687 | semidirect |
| 249. C3×C5 | #1691 | semidirect |
| 284. C8 | #6716 | semidirect |
| 289. C5 | #70872 | semidirect |
| 302. C3 | #10601665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#436 | 2 |
| #11751120 | 2 |
| #11751109 | 2 |
| #11750781 | 2 |
| #11746307 | 2 |
| #11746302 | 2 |
| #11746279 | 2 |
| #10601665 | 3 |
| #70872 | 5 |