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 ⋊ #5702 |
| Sylow | C3 ⋊ #66036 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=f,c^2=e,b^a=bf,d^a=def,h^a=h^4,c^b=cf,d^b=de,g^b=g^2,d^c=df87 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5702, D3×#66036, #14484022, … |
| maximal normal subgroup of | D5×#5702, D3×#66036, #14484022, … |
| maximal quotient of | #14326923, #14326977, #14327756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7389);