Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C29 |
| direct product | C2×C5×#1009 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×H(5,𝔽2) |
| Sylow | C3 ⋊ C2×C5×H(5,𝔽2) |
1796 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#70305, C5×#70384, #14297196, … |
| maximal normal subgroup of | C5×#70305, C5×#70384, #14297196, … |
| maximal quotient of | C2×C5×#5545, C2×C5×#5521, C2×C5×#5523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11319);