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 ⋊ #519 |
| Sylow | C5 ⋊ #5516 |
| Sylow | C3 ⋊ #65906 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=f,d^2=e,d^a=df,h^a=h^4,c^b=cf,g^b=g^2,d^c=df114 conjugacy classes — view the full character table.
| maximal subgroup of | #14417290, #14417295, #14417296, … |
| maximal normal subgroup of | #14417290, #14417295, #14417296, … |
| maximal quotient of | #14319676, #14319688, #14319778, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7592);