Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | Q8×C13×C4⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #26397 |
858 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=fh,b^2=fh,c^2=f,d^2=h,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^12,c^b=cg,d^b=dh,e^b=eh,e^d=eh346 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 232954);