Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C43×M128 ⋊ C2 |
| Sylow | C43 ⋊ #7541 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=d,c^2=efh,d^2=h,e^2=fg,f^2=gh,g^2=h,b^a=bc,c^a=ce,e^a=ef,f^a=fg,g^a=gh,i^a=i^42,c^b=ceh,d^b=dh,e^b=ef,f^b=fg,g^b=gh,i^b=i^421726 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 57459);