Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×C4×C8×C13 ⋊ C4 |
| Sylow | C13 ⋊ #20787 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=f,d^2=e,e^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^8,g^b=gh,g^c=gh,i^g=i^12256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1104894);