C₂×C₁₃×D₇₄₁ #50310540

order	38532
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×D₇₄₁
unambiguous semidirect product	(C₂×C₃)⋊(C₁₃×D₂₄₇)
unambiguous semidirect product	(C₂×C₁₃)⋊(C₁₃×D₅₇)
unambiguous semidirect product	(C₂×C₁₉)⋊(C₁₃×D₃₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₃	D₇₄₁
commutator, cosocle, hypocenter	C₃×C₁₃×C₁₉	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃²×C₁₉	C₂
LCS	G ▷ C₃×C₁₃×C₁₉
UCS	C₁ ◁ C₂×C₁₃

128 conjugacy classes of subgroups.

μ_t(G) = 2964

9672 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38532, 422);