C₂²×C₄⋊#13132997 #41003902

order	26944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₄₂₁ ⋊ C₄
Sylow	C₄₂₁ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 6736

1720 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26944, 1611);