Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#1511 ⋊ C2 |
| Sylow | C43 ⋊ #18149 |
1074 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,c^2=gh,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,i^a=i^42,e^b=eg,f^b=fh,i^b=i^42,e^c=eh,i^c=i^42583 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 142074);