Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×D5×#101 |
| Fitting | C3×C5×#101 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#101 |
| Sylow | C5 ⋊ C2×C3×#101 |
292 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 106 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10598577, #14279137, C3×AGL(1,𝔽5)×#101, … |
| maximal normal subgroup of | C3×#10598577, #14279137, C3×AGL(1,𝔽5)×#101, … |
| maximal quotient of | C3×D5×#324, C3×#10598918, C3×#10598937, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3842);