Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
372 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 102 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×#6712 | C2 | semidirect |
| 3. C2×C3×#683 | C2 | semidirect |
| 4. C2×Dic3⋊Dic5 | C2 | semidirect |
| 7. #90994 | C2 | semidirect |
| 28. C2×#683 | D3 | semidirect |
| 210. C3×C5 | #399 | semidirect |
| 273. C5 | #4993 | semidirect |
| 294. C3 | #65238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6712 | 2 |
| C2×C5×(C2×D3)⋊C4 | 2 |
| C2×C3×#683 | 2 |
| C2×Dic3⋊Dic5 | 2 |
| C2×(C2×D3)⋊Dic5 | 2 |
| #90994 | 2 |
| #65238 | 3 |
| #4993 | 5 |