D₃×C₅₇₄₃ #46828038

order	34458
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₇₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₅₇₄₃
unambiguous semidirect product	C₃⋊(C₂×C₅₇₄₃)

Fitting, socle, Hall	C₃×C₅₇₄₃ ⋊ C₂
derived, Sylow	C₃ ⋊ C₂×C₅₇₄₃

	subgroup	G/H
center, hypercenter	C₅₇₄₃	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅₇₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅₇₄₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅₇₄₃

8 conjugacy classes of subgroups.

μ_t(G) = 17229

17229 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34458, 3);