Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 75 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×#131 | C2 | semidirect |
| 3. #91790 | C2 | semidirect |
| 4. #91121 | C2 | semidirect |
| 5. #91109 | C2 | semidirect |
| 6. #91106 | C2 | semidirect |
| 7. #91099 | C2 | semidirect |
| 15. #6718 | C4 | semidirect |
| 16. #6717 | C4 | semidirect |
| 17. #6716 | C4 | semidirect |
| 18. #6715 | C4 | semidirect |
| 25. C5×#131 | D3 | semidirect |
| 48. C3×#131 | D5 | semidirect |
| 112. #131 | D15 | semidirect |
| 160. C3×C5 | #444 | semidirect |
| 193. C5 | #5145 | semidirect |
| 202. C3 | #65434 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#131 | 2 |
| #91839 | 2 |
| #91790 | 2 |
| #91121 | 2 |
| #91109 | 2 |
| #91106 | 2 |
| #91099 | 2 |
| #65434 | 3 |
| #5145 | 5 |