Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #541 |
| Sylow | C5 ⋊ #5698 |
| Sylow | C3 ⋊ #66030 |
384 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=e,c^2=e,d^2=f,c^a=cf,d^a=def,h^a=h^4,c^b=cef,g^b=g^2,d^c=df84 conjugacy classes — view the full character table.
| maximal subgroup of | #14481212, D5×#5698, C2×#11753314, … |
| maximal normal subgroup of | #14481212, D5×#5698, C2×#11753314, … |
| maximal quotient of | #14322777, #14323325, #14323336, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7509);