Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
372 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. D5⋊#208 | C2 | semidirect |
| 3. #91242 | C2 | semidirect |
| 12. #6762 | C22 | semidirect |
| 91. C3×D5 | #100 | semidirect |
| 128. C3×C5 | C2×#100 | semidirect |
| 146. D5 | #833 | semidirect |
| 167. C5 | C2×#833 | semidirect |
| 180. C3 | D5⋊#100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×D4×D5 | 2 |
| D5⋊#208 | 2 |
| #91242 | 2 |
| D5⋊#100 | 3 |
| C2×#833 | 5 |