C₂×D₅₃⋊AΣL(1,𝔽₁₆) #28327976

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂×D₅₃⋊AΣL(1,𝔽₁₆)
unambiguous semidirect product	D₅₃⋊(C₂×AΣL(1,𝔽₁₆))

Fitting	C₂×#120×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²×AΣL(1,𝔽₁₆)

2774 conjugacy classes of subgroups.

μ_t(G) = 848

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1113452);