Finite Group DatabasebetaFinite Group Databasebeta| order | 35028 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#31776102 |
| derived, Hall | C7×C139 ⋊ C22×C9 |
| Hall | #22576805 ⋊ C22 |
| Hall | C2×C7×D139 ⋊ C9 |
| Hall | C2×D139 ⋊ C7⋊C9 |
| Sylow | C139 ⋊ C22×C7⋊C9 |
| Sylow | C7 ⋊ C2×D139⋊C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17514 |
1026 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35028, 38);