Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C4×C4⋊Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #60043 |
1692 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=fg,b^2=f,c^2=fgh,d^2=g,e^2=h,b^a=bf,c^a=cg,d^a=dg,e^a=ef,c^b=cg,d^b=dh,i^b=i^421240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1032867);