Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×D4 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ #520 |
| Sylow | C5 ⋊ #5546 |
| Sylow | C3 ⋊ #66266 |
588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
Polycyclic presentation:
2^6,3,5|a^2=e,d^2=f,d^a=df,h^a=h^2,c^b=cf,g^b=g^2,d^c=df,h^e=h^469 conjugacy classes — view the full character table.
| maximal subgroup of | #14417143, #14417144, #14417314, … |
| maximal normal subgroup of | #14417143, #14417144, #14417314, … |
| maximal quotient of | #14319701, #14319707, #14319759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11041);