Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C43×#1285 ⋊ C2 |
| Sylow | C43 ⋊ #10378 |
398 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^8,43|a^2=d,b^2=d,e^2=gh,f^2=g,b^a=bd,c^a=ce,e^a=eh,f^a=fgh,i^a=i^42,c^b=cf,e^b=eh,d^c=dg,e^c=egh,f^c=fg,i^c=i^42706 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 72745);