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 ⋊ #383 |
| Sylow | C5 ⋊ #4937 |
| Sylow | C3 ⋊ #65226 |
276 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=e,c^2=f,b^a=bf,c^a=cef,g^a=g^2,h^a=h^4252 conjugacy classes — view the full character table.
| maximal subgroup of | #14277013, #14277016, #14277026, … |
| maximal normal subgroup of | #14277013, #14277016, #14277026, … |
| maximal quotient of | #14279894, #14280216, #14298941, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5233);