C₂²×C₄×#13109888 #39910307

order	26176
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13109888
unambiguous semidirect product	D₄₀₉⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₀₉ ⋊ C₄
derived, Sylow	C₄₀₉ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 6544

1696 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26176, 1609);