C₂²×C₄×#14267798 #43273067

order	28736
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14267798
unambiguous semidirect product	D₄₄₉⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₄₉ ⋊ C₄
derived, Sylow	C₄₄₉ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 7184

1856 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28736, 1609);