C₂×D₁₆×#6923 #30624281

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₁₆×#6923
unambiguous semidirect product	D₆₁⋊(C₄×D₁₆)

Fitting	C₂×D₁₆×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂×C₄×D₁₆

806 conjugacy classes of subgroups.

μ_t(G) = 1952

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1113836);