Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C3×C5×Q8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ D3×C22⋊Q8 |
| Sylow | C3 ⋊ D5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=f,d^a=de,h^a=h^4,d^b=de,g^b=g^2,d^c=df90 conjugacy classes — view the full character table.
| maximal subgroup of | #14282743, #14283187, #14283339, … |
| maximal normal subgroup of | #14282743, #14283187, #14283339, … |
| maximal quotient of | #14319837, #14320229, #14320363, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9476);