Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| unambiguous semidirect product | D13⋊#2883 |
| Fitting | C2×C13×H(5,𝔽2) ⋊ C4 |
| Sylow | C13 ⋊ C2×#2883 |
5338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^8,13|a^2=g,b^a=bf,f^a=fh,i^a=i^8,g^b=gh,d^c=dh,i^e=i^12,i^g=i^12184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114717);