Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×C13×C22⋊C4 ⋊ C4 |
| Sylow | C13 ⋊ #10854 |
1338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=g,c^2=e,b^a=bd,c^a=ce,d^a=dh,g^a=gh,i^a=i^8,d^b=dh,f^b=fh,i^f=i^12184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1092336);