C₂²×C₄×#14270406 #44443136

order	29504
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14270406
unambiguous semidirect product	D₄₆₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₆₁ ⋊ C₄
derived, Sylow	C₄₆₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 7376

1904 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29504, 1609);