Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
No aliases for this group.
| Fitting | C43×#3586 ⋊ C2 |
| Sylow | C43 ⋊ #63090 |
10836 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|f^2=h,g^2=h,b^a=bg,e^a=eh,g^a=gh,g^b=gh,d^c=dh,i^c=i^42,i^d=i^42,i^f=i^42943 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1083422);