Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ C4×C4⋊C4 |
| Sylow | C5 ⋊ Dic3×C4⋊C4 |
| Sylow | C3 ⋊ C4⋊C4×Dic5 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=e,c^2=f,c^a=cf,h^a=h^4,c^b=cf,g^b=g^2132 conjugacy classes — view the full character table.
| maximal subgroup of | #14295706, #14295709, #14295712, … |
| maximal normal subgroup of | #14295706, #14295709, #14295712, … |
| maximal quotient of | #14279849, #14279909, #14279941, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2894);