C₂²×C₄⋊#11757210 #29508779

order	15424
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₂₄₁ ⋊ C₄
Sylow	C₂₄₁ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 3856

1000 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15424, 1611);