Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C3×C5×C22⋊Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ #552 |
| Sylow | C5 ⋊ #5642 |
| Sylow | C3 ⋊ #65976 |
428 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=e,d^2=ef,b^a=bf,d^a=de,g^a=g^2,h^a=h^4,d^b=df,d^c=de123 conjugacy classes — view the full character table.
| maximal subgroup of | #14458625, #14458631, #14458716, … |
| maximal normal subgroup of | #14458625, #14458631, #14458716, … |
| maximal quotient of | #14326406, #14326583, #14326790, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10596);