C₆₁×D₂₄₁ #44440577

order	29402
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₂₄₁
unambiguous semidirect product	C₂₄₁⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₂₄₁ ⋊ C₂
derived, Sylow	C₂₄₁ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₂₄₁
commutator, cosocle, hypocenter	C₂₄₁	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₂₄₁	C₂
LCS	G ▷ C₂₄₁
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 14701

7442 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29402, 2);