Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C42×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ #518 |
| Sylow | C5 ⋊ #5545 |
| Sylow | C3 ⋊ #65879 |
676 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|c^2=ef,d^2=f,d^a=de,h^a=h^4,c^b=ce,g^b=g^2126 conjugacy classes — view the full character table.
| maximal subgroup of | #14417042, #14417045, #14417054, … |
| maximal normal subgroup of | #14417042, #14417045, #14417054, … |
| maximal quotient of | #14319649, #14319683, #14319743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6924);