Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #389 |
| Sylow | C5 ⋊ #4972 |
| Sylow | C3 ⋊ #65261 |
340 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=df,c^2=df,c^a=cd,h^a=h^4,c^b=ce,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#65261, D5×#4972, C2×#11748629, … |
| maximal normal subgroup of | D3×#65261, D5×#4972, C2×#11748629, … |
| maximal quotient of | #14279934, #14279969, #14279984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2824);