C₂×C₄×#16862310 #46777027

order	33568
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#16862310
unambiguous semidirect product	D₁₀₄₉⋊C₄²

Fitting	C₂×C₄×C₁₀₄₉ ⋊ C₄
derived, Sylow	C₁₀₄₉ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 8392

2128 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33568, 222);