Finite Group DatabasebetaFinite Group Databasebeta| order | 35008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | (C2×D547)⋊C16 |
| Fitting | C2×C16×C547 ⋊ C2 |
| Sylow | C547 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17504 |
Polycyclic presentation:
2^6,547|a^2=d,d^2=e,e^2=f,b^a=bc,g^b=g^5468776 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35008, 328);