Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C43×#358 ⋊ C2 |
| Sylow | C43 ⋊ #33527 |
1098 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=h,d^2=h,e^2=gh,g^2=h,b^a=be,c^a=cf,e^a=eg,g^a=gh,i^a=i^42,e^b=eg,g^b=gh,i^b=i^42,d^c=dh,i^c=i^42970 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323448);