Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C16 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C13 ⋊ #7052 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3328 |
Polycyclic presentation:
2^8,13|a^2=c,b^2=d,c^2=e,d^2=f,e^2=g,f^2=h,b^a=bg,i^a=i^8,i^c=i^12352 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1083563);