C₆₁×D₂₈₃ #46828692

order	34526
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₂₈₃
unambiguous semidirect product	C₂₈₃⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₂₈₃ ⋊ C₂
derived, Sylow	C₂₈₃ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₂₈₃
commutator, cosocle, hypocenter	C₂₈₃	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₂₈₃	C₂
LCS	G ▷ C₂₈₃
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 17263

8723 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34526, 2);