D₄×#13133240 #28259395

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹

Aliases

Fitting	D₄×Q₁₆×C₅₃ ⋊ C₂
Sylow	C₅₃ ⋊ D₄×#135

2822 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1044871);