Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91288 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×#907 |
| Sylow | C3 ⋊ C2×#4094 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14295531, #14295540, #14295937, … |
| maximal normal subgroup of | #14295531, #14295540, #14295937, … |
| maximal quotient of | C2×#11746979, C2×#11748327, C4×#91288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8319);