Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #346 |
| Sylow | C5 ⋊ #4502 |
| Sylow | C3 ⋊ #64844 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,c^2=e,d^2=e,e^2=f,b^a=bf,h^a=h^2,g^b=g^2,h^c=h^496 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64844, C2×#11746451, AGL(1,𝔽5)×#798, … |
| maximal normal subgroup of | D3×#64844, C2×#11746451, AGL(1,𝔽5)×#798, … |
| maximal quotient of | #14277464, #14277484, #14278694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 646);