Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C2×C43 |
No aliases for this group.
| Fitting | C43×#1434 ⋊ C2 |
| Sylow | C43 ⋊ #13831 |
1630 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=h,c^2=g,b^a=be,c^a=cf,d^a=def,i^a=i^42,c^b=cef,d^b=de,i^b=i^42,i^d=i^421252 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 91204);