Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C43×D4⋊C8 ⋊ C2 |
| Sylow | C43 ⋊ #18662 |
1260 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=gh,e^2=g,f^2=h,b^a=be,c^a=cf,d^a=dg,e^a=eg,f^a=fh,i^a=i^42,d^b=dg,e^b=eg,f^b=fh,i^b=i^42,e^c=eh,f^c=fh1222 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 147133);