Finite Group DatabasebetaFinite Group Databasebeta| order | 21684 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C4×#19129429 |
| Fitting, Hall | C4×C13×C139 ⋊ C3 |
| derived, Hall | C13×C139 ⋊ C3×C4 |
| Hall | C4×C139 ⋊ C13⋊C3 |
| Sylow | C139 ⋊ C4×C13⋊C3 |
| Hall | C4×C13 ⋊ C139⋊C3 |
| Sylow | C13 ⋊ C4×C139⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7228 |
2420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21684, 4);