D₄⋊(C₄₃⋊C₃₂) #24984035

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₂ · Schur multiplier (H₂) = C₂²

Aliases

D₄⋊(C₄₃⋊C₃₂)

C₄₃ ⋊ D₄⋊C₃₂

138 conjugacy classes of subgroups; only the 67 normal subgroups are shown.

normal subgroups only

This group has 138 conjugacy classes of subgroups — too many to draw. Only its 67 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,c^2=e,d^2=f,f^2=g,g^2=h,b^a=bc,c^a=ce,i^a=i^42,c^b=ce

1792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 57006);