Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#91240 |
| Fitting | C24×C3×C5 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#99 |
| Sylow | C5 ⋊ C2×#834 |
| Sylow | C3 ⋊ C2×#4011 |
420 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | #14279054, #14279056, #14279069, … |
| maximal normal subgroup of | #14279054, #14279056, #14279069, … |
| maximal quotient of | C2×#11746804, C2×#11746785, #14280856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6650);