C₂²×C₄×#14523438 #45688492

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14523438
unambiguous semidirect product	D₅₂₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₅₂₁ ⋊ C₄
derived, Sylow	C₅₂₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 8336

2144 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1609);