Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| unambiguous semidirect product | D13⋊#2995 |
| Sylow | C13 ⋊ C2×#2995 |
1882 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,d^2=f,g^2=h,b^a=bf,c^a=ch,d^a=df,i^a=i^8,c^b=cfh,d^b=dh,i^e=i^12,i^g=i^12160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1115554);