Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #539 |
| Sylow | C5 ⋊ #5564 |
| Sylow | C3 ⋊ #65999 |
436 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|d^2=e,b^a=be,c^a=cf,h^a=h^4,c^b=cf,d^b=def,g^b=g^2,d^c=df90 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5564, D3×#65999, #14480966, … |
| maximal normal subgroup of | D5×#5564, D3×#65999, #14480966, … |
| maximal quotient of | #14322675, #14322993, #14323095, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7373);