Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×C22⋊C4×C17 ⋊ C8 |
| Sylow | C17 ⋊ #21902 |
1122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^8,17|a^2=g,b^2=f,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^9,c^b=ce,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, 1118171);