Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #568 |
| Sylow | C5 ⋊ #5745 |
| Sylow | C3 ⋊ #66079 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|d^2=e,e^2=f,b^a=bf,h^a=h^4,g^b=g^2,d^c=df114 conjugacy classes — view the full character table.
| maximal subgroup of | #14412171, #14412172, #14412173, … |
| maximal normal subgroup of | #14412171, #14412172, #14412173, … |
| maximal quotient of | #14411419, #14411420, #14411421, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8236);