C₂²×C₄⋊#13109888 #39910309

order	26176
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₄₀₉ ⋊ C₄
Sylow	C₄₀₉ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 6544

1672 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26176, 1611);