Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #334 |
| Sylow | C5 ⋊ #4457 |
| Sylow | C3 ⋊ #64883 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=de,c^2=e,d^2=f,b^a=bd,d^a=df,g^a=g^2,h^a=h^3,h^c=h^4108 conjugacy classes — view the full character table.
| maximal subgroup of | #14278434, #14278436, #14278445, … |
| maximal normal subgroup of | #14278434, #14278436, #14278445, … |
| maximal quotient of | #14276753, #14278578, #14278595, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 949);