Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 130 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. C4×Dic30 | C2 | semidirect |
| 2. C4×C5×Dic6 | C2 | semidirect |
| 5. #91431 | C2 | semidirect |
| 6. #91393 | C2 | semidirect |
| 7. #91385 | C2 | semidirect |
| 9. #91363 | C2 | semidirect |
| 10. #91362 | C2 | semidirect |
| 11. #91331 | C2 | semidirect |
| 74. C4×Dic6 | D5 | semidirect |
| 220. C3×C5 | #556 | semidirect |
| 259. C5 | #5671 | semidirect |
| 274. C3 | #65902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Dic30 | 2 |
| C4×C5×Dic6 | 2 |
| C3×#4021 | 2 |
| #91434 | 2 |
| #91431 | 2 |
| #91393 | 2 |
| #91385 | 2 |
| #91368 | 2 |
| #91363 | 2 |
| #91362 | 2 |
| #91331 | 2 |
| #65902 | 3 |
| #5671 | 5 |