Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 62 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×#6715 | C2 | semidirect |
| 2. C5×#938 | C2 | semidirect |
| 3. #91460 | C2 | semidirect |
| 4. C2×#6650 | C2 | semidirect |
| 5. C3×#3964 | C2 | semidirect |
| 6. #90986 | C2 | semidirect |
| 7. #90969 | C2 | semidirect |
| 27. #3964 | D3 | semidirect |
| 45. C3⋊#168 | D4 | semidirect |
| 47. #938 | D5 | semidirect |
| 171. C3×C5 | #469 | semidirect |
| 216. C5 | #4782 | semidirect |
| 232. C3 | #65328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6715 | 2 |
| C5×#938 | 2 |
| #91460 | 2 |
| C2×#6650 | 2 |
| C3×#3964 | 2 |
| #90986 | 2 |
| #90969 | 2 |
| #65328 | 3 |
| #4782 | 5 |