Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×C3×C5×D8 | C2 | semidirect |
| 2. #91793 | C2 | semidirect |
| 3. #91111 | C2 | semidirect |
| 4. #91110 | C2 | semidirect |
| 5. #91096 | C2 | semidirect |
| 12. Dic60 | C22 | semidirect |
| 13. D120 | C22 | semidirect |
| 15. C3⋊#672 | C22 | semidirect |
| 17. C2×C5×D8 | D3 | semidirect |
| 32. C2×C3×D8 | D5 | semidirect |
| 74. C2×D8 | D15 | semidirect |
| 108. C3×C5 | #509 | semidirect |
| 134. C5 | #5147 | semidirect |
| 142. C3 | #65436 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×D8 | 2 |
| #91793 | 2 |
| #91111 | 2 |
| #91110 | 2 |
| #91096 | 2 |
| #65436 | 3 |
| #5147 | 5 |