C₂×D₆₁⋊AΣL(1,𝔽₁₆) #30623897

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂×D₆₁⋊AΣL(1,𝔽₁₆)
unambiguous semidirect product	D₆₁⋊(C₂×AΣL(1,𝔽₁₆))

Fitting	C₂×#120×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂²×AΣL(1,𝔽₁₆)

2774 conjugacy classes of subgroups.

μ_t(G) = 976

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1113452);