Finite Group DatabasebetaFinite Group Databasebeta| order | 35104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#22578597 |
| unambiguous semidirect product | (C2×#22578597)⋊C2 |
| Fitting | C22×C1097 ⋊ C8 |
| Sylow | C1097 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4388 |
Polycyclic presentation:
2^5,1097|a^2=d,d^2=e,b^a=bc,f^a=f^486,f^d=f^341,f^e=f^1096568 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35104, 238);