Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #556 |
| Sylow | C5 ⋊ #5671 |
| Sylow | C3 ⋊ #65918 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=f,d^2=ef,c^a=cf,d^a=de,h^a=h^4,d^b=de,g^b=g^2111 conjugacy classes — view the full character table.
| maximal subgroup of | #14471623, #14471636, #14471644, … |
| maximal normal subgroup of | #14471623, #14471636, #14471644, … |
| maximal quotient of | #14326919, #14327719, #14327811, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6796);