C₂×C₄×D₄×#6157 #28328622

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂×C₄×D₄×#6157
unambiguous semidirect product	D₅₃⋊(C₄²×D₄)

Fitting	C₂×C₄×D₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄²×D₄

5694 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114098);