C₂×D₄×D₅₃⋊C₈ #28329420

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂×D₄×D₅₃⋊C₈
unambiguous semidirect product	D₅₃⋊(C₂×C₈×D₄)

C₅₃ ⋊ C₂²×C₈×D₄

3694 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, 1114896);