Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ #529 |
| Sylow | C5 ⋊ #5479 |
| Sylow | C3 ⋊ #65813 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=e,d^2=f,b^a=bf,d^a=de,g^a=g^2,h^a=h^4252 conjugacy classes — view the full character table.
| maximal subgroup of | #14281857, #14281866, #14281885, … |
| maximal normal subgroup of | #14281857, #14281866, #14281885, … |
| maximal quotient of | #14320048, #14320551, #14320831, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10433);