Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C17×#123 ⋊ C8 |
| Sylow | C17 ⋊ #23294 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^8,17|a^2=g,b^2=g,c^2=ef,d^2=ef,g^2=h,b^a=be,c^a=cf,i^a=i^8,d^b=de,i^b=i^9,i^g=i^13,i^h=i^16128 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118233);