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×#117 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ #5522 |
| Sylow | C3 ⋊ #65856 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,d^2=e,c^a=cf,g^a=g^2,h^a=h^4,d^c=df180 conjugacy classes — view the full character table.
| maximal subgroup of | #14295570, #14295590, #14295629, … |
| maximal normal subgroup of | #14295570, #14295590, #14295629, … |
| maximal quotient of | #14319485, #117×Dic15, C4×#91770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10476);