Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#2126 ⋊ C2 |
| Sylow | C43 ⋊ #33560 |
1132 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=h,d^2=h,b^a=be,c^a=cf,g^a=gh,i^a=i^42,d^b=dh,f^b=fgh,i^b=i^42,d^c=dh,e^c=eg,i^c=i^42,f^e=fh580 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323711);