Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
132 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 52 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. C2×C5×C3⋊C16 | C2 | semidirect |
| 3. C3×#3950 | C2 | semidirect |
| 8. D120 | C4 | semidirect |
| 14. #3950 | D3 | semidirect |
| 24. C2×C3⋊C16 | D5 | semidirect |
| 79. C3×C5 | #357 | semidirect |
| 102. C5 | #4491 | semidirect |
| 110. C3 | #64729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D120 | 2 |
| C2×C5×C3⋊C16 | 2 |
| C3×#3950 | 2 |
| #64729 | 3 |
| #4491 | 5 |