Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #578 |
| Sylow | C5 ⋊ #5766 |
| Sylow | C3 ⋊ #66113 |
496 conjugacy classes of subgroups.
| minimal degree | μ(G) = 40 |
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=f,e^2=f,b^a=bf,h^a=h^4,d^b=df,g^b=g^2,d^c=de,e^c=ef,e^d=ef72 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5766, #14510140, D3×#66113, … |
| maximal normal subgroup of | D5×#5766, #14510140, D3×#66113, … |
| maximal quotient of | #14412729, #14412731, #14413540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8302);