Finite Group DatabasebetaFinite Group Databasebeta| order | 34688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C27 |
| unambiguous semidirect product | (C2×D271)⋊#95 |
| Fitting | C2×#95×C271 ⋊ C2 |
| Sylow | C271 ⋊ C22⋊#95 |
1088 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
Polycyclic presentation:
2^7,271|a^2=f,b^2=g,b^a=bd,c^a=ce,h^c=h^2705456 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34688, 2731);