Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C2×C4×C4⋊C4×C43 ⋊ C2 |
| Sylow | C43 ⋊ #34060 |
2458 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,d^2=f,e^2=g,b^a=bf,c^a=cg,d^a=df,i^a=i^42,c^b=cf,i^c=i^421768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 328276);