C₂²×C₄⋊#11745021 #28412543

order	14656
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#11745021
unambiguous semidirect product	D₂₂₉⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₂₂₉ ⋊ C₄
Sylow	C₂₂₉ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 3664

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1611);