Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of C5⋊(#41⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#4094⋊C3 |
| unambiguous semidirect product | #4094⋊C32 |
| unambiguous semidirect product | (C3×#4094)⋊C3 |
| Hall | #4094 ⋊ C32 |
| Sylow | C5 ⋊ C3×#131⋊C3 |
116 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 2542);