D₃×C₁₃×C₄₃⋊C₇ #37553449

order	23478
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₃×C₄₃⋊C₇
unambiguous semidirect product	C₃⋊(C₂×C₁₃×C₄₃⋊C₇)
unambiguous semidirect product	(D₃×C₄₃)⋊(C₇×C₁₃)
unambiguous semidirect product	(D₃×C₁₃×C₄₃)⋊C₇

	subgroup	G/H
center, hypercenter	C₁₃	D₃×C₄₃⋊C₇
commutator, cosocle, hypocenter	C₃×C₄₃	C₂×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₄₃	C₂×C₇
LCS	G ▷ C₃×C₄₃
UCS	C₁ ◁ C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 1677

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23478, 38);