C₆₁×D₂₆₃ #44545548

order	32086
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₂₆₃
unambiguous semidirect product	C₂₆₃⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₂₆₃ ⋊ C₂
derived, Sylow	C₂₆₃ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₂₆₃
commutator, cosocle, hypocenter	C₂₆₃	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₂₆₃	C₂
LCS	G ▷ C₂₆₃
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 16043

8113 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32086, 2);