Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C43×#1889 ⋊ C2 |
| Sylow | C43 ⋊ #23900 |
3520 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^a=be,c^a=cf,d^a=de,c^b=cg,f^b=fh,i^b=i^42,e^c=eh,i^c=i^42,f^d=fh718 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 201148);