Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 48 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×D5×D8 | C2 | semidirect |
| 2. #91271 | C2 | semidirect |
| 3. #91110 | C2 | semidirect |
| 4. C5×#827 | C2 | semidirect |
| 5. #90940 | C2 | semidirect |
| 6. #90938 | C2 | semidirect |
| 7. #90934 | C2 | semidirect |
| 12. D120 | C22 | semidirect |
| 13. C5×Dic12 | C22 | semidirect |
| 18. C3⋊#672 | C22 | semidirect |
| 19. C5×C3⋊C16 | C22 | semidirect |
| 22. D5×D8 | D3 | semidirect |
| 42. #827 | D5 | semidirect |
| 72. Dic12 | C2×D5 | semidirect |
| 76. C3⋊C16 | C2×D5 | semidirect |
| 130. C3×C5 | #509 | semidirect |
| 160. C5 | #5147 | semidirect |
| 169. C3 | #65203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D5×D8 | 2 |
| #91271 | 2 |
| #91110 | 2 |
| C5×#827 | 2 |
| #90940 | 2 |
| #90938 | 2 |
| #90934 | 2 |
| #65203 | 3 |
| #5147 | 5 |