Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #542 |
| Sylow | C5 ⋊ #5662 |
| Sylow | C3 ⋊ #65974 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=f,b^a=bf,c^a=cf,d^a=def,h^a=h^4,c^b=ce,g^b=g^2,d^c=def84 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5662, #14481344, C2×#11753784, … |
| maximal normal subgroup of | D5×#5662, #14481344, C2×#11753784, … |
| maximal quotient of | #14322725, #14323190, #14323291, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7979);