C₂×D₆₁⋊(C₂²⋊C₁₆) #30623857

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂×D₆₁⋊(C₂²⋊C₁₆)
unambiguous semidirect product	D₆₁⋊(C₂×C₂²⋊C₁₆)

C₆₁ ⋊ C₂²×C₂²⋊C₁₆

1470 conjugacy classes of subgroups.

μ_t(G) = 3904

1120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1113412);