Q₈×C₂²⋊(C₁₁⋊C₈) #14770289

order	2816
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

C₁₁ ⋊ Q₈×C₂²⋊C₈

1356 conjugacy classes of subgroups.

μ_t(G) = 1408

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 186084);