Finite Group DatabasebetaFinite Group Databasebeta| order | 19908 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| Fitting, Hall | C4×C7×C79 ⋊ C32 |
| derived, Hall | C7×C79 ⋊ C32×C4 |
| Hall | C4×C79 ⋊ C3×ΓL(1,𝔽8) |
| Sylow | C79 ⋊ C3×C4×ΓL(1,𝔽8) |
| Hall | C4×C7 ⋊ C3×C79⋊C3 |
| Sylow | C7 ⋊ C3×C4×C79⋊C3 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2212 |
580 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19908, 69);