Finite Group DatabasebetaFinite Group Databasebeta| order | 35028 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#26043015 |
| derived, Hall | C7×C139 ⋊ C32×C4 |
| Hall | C3×#15668588 ⋊ C4 |
| Hall | C7×Dic139 ⋊ C32 |
| Hall | Dic139 ⋊ C3×ΓL(1,𝔽8) |
| Sylow | C139 ⋊ C3×C4×ΓL(1,𝔽8) |
| Sylow | C7 ⋊ C3×(C139⋊C3)⋊C4 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11676 |
1026 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35028, 77);