Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C43×#2975 ⋊ C2 |
| Sylow | C43 ⋊ #60241 |
2130 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,g^2=h,b^a=bf,c^a=ch,d^a=df,i^a=i^42,c^b=cfh,e^d=eh,i^e=i^421000 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1034499);