Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 68 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. C5×#869 | C2 | semidirect |
| 3. C2×#6661 | C2 | semidirect |
| 5. #91087 | C2 | semidirect |
| 35. #869 | D5 | semidirect |
| 107. C3×C5 | #497 | semidirect |
| 131. C5 | #5060 | semidirect |
| 139. C3 | #65375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#869 | 2 |
| C3×#4021 | 2 |
| C2×#6661 | 2 |
| C2×#6655 | 2 |
| #91087 | 2 |
| #65375 | 3 |
| #5060 | 5 |