Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C17×D4⋊C16 ⋊ C2 |
| Sylow | C17 ⋊ #11629 |
430 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=e,c^2=f,d^2=f,e^2=g,g^2=h,b^a=bd,d^a=df,c^b=cf,d^b=df,i^c=i^16536 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 79477);