Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#1917 ⋊ C2 |
| Sylow | C43 ⋊ #22109 |
728 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=g,d^2=e,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^42,c^b=ceh,d^b=dh,i^b=i^42,d^c=dh,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, 181599);