Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #554 |
| Sylow | C5 ⋊ #5511 |
| Sylow | C3 ⋊ #66024 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,d^2=e,b^a=bf,h^a=h^4,d^b=df,g^b=g^2,d^c=def93 conjugacy classes — view the full character table.
| maximal subgroup of | #14483812, D5×#5511, C2×#11753714, … |
| maximal normal subgroup of | #14483812, D5×#5511, C2×#11753714, … |
| maximal quotient of | #14326699, #14326763, #14327070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7909);