Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C17 ⋊ C4×C22⋊C16 |
614 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=e,f^2=g,g^2=h,b^a=bd,i^a=i^16,i^b=i^13,i^c=i^16,i^f=i^16416 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1095936);