Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C43×#1279 ⋊ C2 |
| Sylow | C43 ⋊ #8902 |
438 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=f,d^2=g,e^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^42,d^b=dg,e^b=eh,i^b=i^42,d^c=dh,e^c=eh,i^c=i^421228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 63871);