Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C43×#2392 ⋊ C2 |
| Sylow | C43 ⋊ #34570 |
2094 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=g,e^2=f,b^a=bf,c^a=cg,d^a=dh,c^b=ch,i^c=i^42,i^d=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 336092);