C₂×D₅₃⋊(D₄⋊C₈) #28314453

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

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

C₅₃ ⋊ C₂²×D₄⋊C₈

1886 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1099929);