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 ⋊ #5812 |
| Sylow | C3 ⋊ #66146 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=f,c^2=f,d^a=df,g^a=g^2,h^a=h^4,c^b=cf174 conjugacy classes — view the full character table.
| maximal subgroup of | #14298682, #14298698, #14299616, … |
| maximal normal subgroup of | #14298682, #14298698, #14299616, … |
| maximal quotient of | #14319671, #14319774, #14322474, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10766);