D₄×D₆₁⋊C₁₆ #30624214

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	D₄×D₆₁⋊C₁₆
unambiguous semidirect product	D₆₁⋊(D₄×C₁₆)

C₆₁ ⋊ C₂×D₄×C₁₆

806 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1113769);