C₂²×SD₁₆×#6157 #28329520

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

direct product	C₂²×SD₁₆×#6157
unambiguous semidirect product	D₅₃⋊(C₂×C₄×SD₁₆)

Fitting	C₂²×SD₁₆×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²×C₄×SD₁₆

3262 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114996);