C₂²×C₄⋊#14523438 #45688494

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₅₂₁ ⋊ C₄
Sylow	C₅₂₁ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 8336

2120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1611);