C₂×C₄⋊C₈×#6157 #28318258

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₂×C₄⋊C₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄×C₄⋊C₈

1550 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1103734);