Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C3×C4×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ #533 |
| Sylow | C5 ⋊ #5578 |
| Sylow | C3 ⋊ #65912 |
444 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,d^2=f,d^a=de,g^a=g^2,h^a=h^4,d^b=df168 conjugacy classes — view the full character table.
| maximal subgroup of | #14281811, #14281831, #14282023, … |
| maximal normal subgroup of | #14281811, #14281831, #14282023, … |
| maximal quotient of | #14320152, #14320978, #14320984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10532);