Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4 |
| unambiguous semidirect product | #595⋊#504 |
| Sylow | C17 ⋊ C4×#504 |
834 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,e^2=g,g^2=h,i^a=i^9,i^b=i^4,d^c=dh,i^e=i^13,i^f=i^16,i^g=i^16200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118263);