C₂²⋊C₄×C₂²⋊#6157 #28312783

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

Fitting	C₂²×C₂²⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²⋊C₄²

4254 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1098259);