Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #556 |
| Sylow | C5 ⋊ #5671 |
| Sylow | C3 ⋊ #66005 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,c^2=e,c^a=cf,g^a=g^2,h^a=h^4,c^b=cf,d^b=def,d^c=df123 conjugacy classes — view the full character table.
| maximal subgroup of | #14471584, #14471590, #14471616, … |
| maximal normal subgroup of | #14471584, #14471590, #14471616, … |
| maximal quotient of | #14326892, #14327674, #14327770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10625);