Finite Group DatabasebetaFinite Group Databasebeta| order | 10980 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×Dic305⋊C3 |
| unambiguous semidirect product | Dic305⋊C32 |
| unambiguous semidirect product | (C3×Dic305)⋊C3 |
| derived, Hall | C5×C61 ⋊ C32×C4 |
| Hall | C3×C5×C61⋊C3 ⋊ C4 |
| Hall | Dic305 ⋊ C32 |
| Hall | C3×C61⋊C3 ⋊ Dic5 |
| Sylow | C61 ⋊ C32×Dic5 |
| Sylow | C5 ⋊ C3×Dic61⋊C3 |
72 conjugacy classes of subgroups.
372 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10980, 82);