Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C5 ⋊ #5632 |
| Sylow | C3 ⋊ #66061 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=e,d^2=f,d^a=def,h^a=h^4,c^b=ce,g^b=g^2,d^c=df87 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5632, #14482915, D3×#66061, … |
| maximal normal subgroup of | D5×#5632, #14482915, D3×#66061, … |
| maximal quotient of | #14326154, #14326155, #14327064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7626);