Finite Group DatabasebetaFinite Group Databasebeta| order | 35008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic547 |
| Sylow | C547 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17504 |
5500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35008, 500);