Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C17 ⋊ C8×#137 |
714 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,c^2=f,e^2=g,f^2=h,b^a=be,d^a=dg,e^a=eg,i^a=i^16,e^b=eg,i^b=i^16,i^c=i^16440 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 138998);