C₂×D₅₃⋊(C₂²⋊C₁₆) #28327936

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂×D₅₃⋊(C₂²⋊C₁₆)
unambiguous semidirect product	D₅₃⋊(C₂×C₂²⋊C₁₆)

C₅₃ ⋊ C₂²×C₂²⋊C₁₆

1470 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1113412);