Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 95 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×#443 | C2 | semidirect |
| 3. #11750801 | C2 | semidirect |
| 4. #11746388 | C2 | semidirect |
| 5. #11746318 | C2 | semidirect |
| 6. #11746314 | C2 | semidirect |
| 7. #11746282 | C2 | semidirect |
| 16. #91113 | C4 | semidirect |
| 17. #91112 | C4 | semidirect |
| 18. #91111 | C4 | semidirect |
| 19. #91110 | C4 | semidirect |
| 25. C5×#443 | D3 | semidirect |
| 52. C3×#443 | D5 | semidirect |
| 128. #443 | D15 | semidirect |
| 240. C3×C5 | #2179 | semidirect |
| 273. C5 | #70922 | semidirect |
| 282. C3 | #10601715 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#443 | 2 |
| #11751295 | 2 |
| #11750801 | 2 |
| #11746388 | 2 |
| #11746318 | 2 |
| #11746314 | 2 |
| #11746282 | 2 |
| #10601715 | 3 |
| #70922 | 5 |