Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C3×C4×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ #529 |
| Sylow | C5 ⋊ #5580 |
| Sylow | C3 ⋊ #65914 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,d^2=f,d^a=df,g^a=g^2,h^a=h^4,d^b=def168 conjugacy classes — view the full character table.
| maximal subgroup of | #14281860, #14281897, #14281923, … |
| maximal normal subgroup of | #14281860, #14281897, #14281923, … |
| maximal quotient of | #14320042, #14320545, #14320822, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10534);