Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C13×#2022 ⋊ C2 |
| Sylow | C13 ⋊ #23903 |
2096 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|b^a=be,c^a=cf,d^a=deh,i^a=i^12,c^b=cg,f^b=fh,e^c=eh,f^d=fh,i^d=i^12196 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 201177);