Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ #551 |
| Sylow | C5 ⋊ #5659 |
| Sylow | C3 ⋊ #65890 |
496 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|d^2=f,c^a=cf,d^a=def,h^a=h^4,c^b=ce,g^b=g^2111 conjugacy classes — view the full character table.
| maximal subgroup of | #14483269, D3×#65890, C2×#11754681, … |
| maximal normal subgroup of | #14483269, D3×#65890, C2×#11754681, … |
| maximal quotient of | #14326344, #14326346, #14326515, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8876);