Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C8×Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #25296 |
848 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=f,d^2=eh,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,f^c=fh,g^c=gh,i^c=i^421738 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 219107);