Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #367 |
| Sylow | C5 ⋊ #4505 |
| Sylow | C3 ⋊ #64725 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=cef,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^2,h^a=h^4246 conjugacy classes — view the full character table.
| maximal subgroup of | #14279627, #14279630, #14279638, … |
| maximal normal subgroup of | #14279627, #14279630, #14279638, … |
| maximal quotient of | #14278653, #14278821, #14279757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 521);