C₄₁×D₄₂₁ #46828554

order	34522
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₁×D₄₂₁
unambiguous semidirect product	C₄₂₁⋊(C₂×C₄₁)

Fitting, socle, Hall	C₄₁×C₄₂₁ ⋊ C₂
derived, Sylow	C₄₂₁ ⋊ C₂×C₄₁

	subgroup	G/H
center, hypercenter	C₄₁	D₄₂₁
commutator, cosocle, hypocenter	C₄₂₁	C₂×C₄₁
Frattini	C₁	G
Fitting, socle	C₄₁×C₄₂₁	C₂
LCS	G ▷ C₄₂₁
UCS	C₁ ◁ C₄₁

8 conjugacy classes of subgroups.

μ_t(G) = 17261

8692 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34522, 2);