Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C13×#407 ⋊ C4 |
| Sylow | C13 ⋊ #7915 |
1026 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=e,b^2=f,c^2=h,e^2=h,b^a=bd,d^a=dg,i^a=i^5,c^b=ch,e^b=eg,i^b=i^8,i^e=i^12,i^f=i^12148 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1085824);