C₂×C₄×C₈×#6157 #28317888

order	13568
isoclinism	isoclinic class of #6157
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

C₂×C₄×C₈×#6157

Fitting	C₂×C₄×C₈×C₅₃ ⋊ C₄
derived, Sylow	C₅₃ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups.

μ_t(G) = 3392

1088 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1103364);