Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 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×#576 | C2 | semidirect |
| 2. #11751294 | C2 | semidirect |
| 3. C2×#91110 | C2 | semidirect |
| 4. #11751243 | C2 | semidirect |
| 5. #11746388 | C2 | semidirect |
| 6. #11746384 | C2 | semidirect |
| 7. #11746382 | C2 | semidirect |
| 18. C2×D120 | C22 | semidirect |
| 23. #91103 | C22 | semidirect |
| 24. #91096 | C22 | semidirect |
| 25. C2×C3⋊#672 | C22 | semidirect |
| 27. C5×#576 | D3 | semidirect |
| 61. C3×#576 | D5 | semidirect |
| 153. #576 | D15 | semidirect |
| 307. C3×C5 | #2192 | semidirect |
| 355. C5 | #72122 | semidirect |
| 368. C3 | #10602915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#576 | 2 |
| #11751294 | 2 |
| C2×#91110 | 2 |
| #11751243 | 2 |
| #11746388 | 2 |
| #11746384 | 2 |
| #11746382 | 2 |
| #10602915 | 3 |
| #72122 | 5 |