Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#92028 |
| Hall | C3×C5 ⋊ C2×2−1+4 |
| Sylow | C5 ⋊ C2×#1010 |
| Sylow | C3 ⋊ C2×#4147 |
1588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
114 conjugacy classes — view the full character table.
| maximal subgroup of | #14297415, #14412037, #14412215, … |
| maximal normal subgroup of | #14297415, #14412037, #14412215, … |
| maximal quotient of | C2×#11753397, C2×#11755124, C2×#11755144, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11232);