Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ C4×C4⋊C16 |
438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=de,f^2=g,g^2=h,b^a=bd,i^a=i^4,i^b=i^9,i^c=i^4,i^e=i^16,i^f=i^13,i^g=i^16224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1117705);