C₂²×C₄×#13132997 #41003900

order	26944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13132997
unambiguous semidirect product	D₄₂₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₂₁ ⋊ C₄
derived, Sylow	C₄₂₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 6736

1744 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26944, 1609);