C₂²×Q₁₆×#6923 #30625442

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

direct product	C₂²×Q₁₆×#6923
unambiguous semidirect product	D₆₁⋊(C₂×C₄×Q₁₆)

Fitting	C₂²×Q₁₆×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂²×C₄×Q₁₆

2830 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114997);