C₂×#127×#6157 #28328671

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂×#127×#6157
unambiguous semidirect product	D₅₃⋊(C₄×#127)

Fitting	C₂×#127×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄×#127

5694 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114147);