Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C5 ⋊ #435 |
| Sylow | C5 ⋊ #5011 |
| Sylow | C3 ⋊ #65300 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,d^2=f,c^a=cf,g^a=g^2,h^a=h^4,c^b=ce168 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#435, C2×#11751112, D5×#5011, … |
| maximal normal subgroup of | D15×#435, C2×#11751112, D5×#5011, … |
| maximal quotient of | #14286503, #14286598, #14286693, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5307);