Q₈×(C₂²⋊D₁₁)⋊C₄ #14913632

order	2816
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

Fitting	Q₈×C₁₁×C₂²⋊C₄ ⋊ C₂
Sylow	C₁₁ ⋊ C₄×D₄×Q₈

3148 conjugacy classes of subgroups.

μ_t(G) = 1408

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 329427);