Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C2×C3×#4147 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×2−1+4 |
| Sylow | C5 ⋊ C2×C3×2−1+4 |
1588 conjugacy classes of subgroups; only the 894 normal subgroups are shown.
This group has 1588 conjugacy classes of subgroups — too many to draw. Only its 894 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
222 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10600485, C3×#10600914, #14297245, … |
| maximal normal subgroup of | C3×#10600485, C3×#10600914, #14297245, … |
| maximal quotient of | C2×C3×#65906, C2×C3×#66146, C2×C3×#65838, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11297);