C₂²×C₄×#11745021 #28412541

order	14656
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11745021
unambiguous semidirect product	D₂₂₉⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₂₂₉ ⋊ C₄
derived, Sylow	C₂₂₉ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 3664

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1609);