C₂²×C₄×#11759967 #30657797

order	16448
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11759967
unambiguous semidirect product	D₂₅₇⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₂₅₇ ⋊ C₄
derived, Sylow	C₂₅₇ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 4112

1088 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16448, 1609);