C₂²×C₄×#11757210 #29508777

order	15424
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11757210
unambiguous semidirect product	D₂₄₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₂₄₁ ⋊ C₄
derived, Sylow	C₂₄₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 3856

1024 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15424, 1609);