Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C4×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #33580 |
770 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=e,f^2=gh,g^2=h,b^a=be,c^a=cf,d^a=dh,f^a=fg,g^a=gh,i^a=i^42,f^c=fg,g^c=gh1222 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323844);