Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C17×#510 ⋊ C4 |
| Sylow | C17 ⋊ #33455 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=h,c^2=f,e^2=gh,g^2=h,b^a=be,e^a=eg,g^a=gh,i^a=i^4,e^b=eg,g^b=gh,d^c=dh,i^c=i^13,i^f=i^16128 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1113847);