D₈×C₂²⋊#6157 #28324288

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

Aliases

Fitting	C₂²×D₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²⋊C₄×D₈

1830 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1109764);