C₂×Q₃₂×#6923 #30624283

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₃₂×#6923
unambiguous semidirect product	D₆₁⋊(C₄×Q₃₂)

Fitting	C₂×Q₃₂×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂×C₄×Q₃₂

678 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1113838);