C₂²×C₄×C₈×D₅₃ #28247470

order	13568
isoclinism	isoclinic class of D₅₃
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₈ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂²×C₄×C₈×D₅₃

Fitting	C₂²×C₄×C₈×C₅₃ ⋊ C₂
derived, Sylow	C₅₃ ⋊ C₂³×C₄×C₈

4638 conjugacy classes of subgroups.

μ_t(G) = 6784

3584 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1032946);