D₃×D₁₃×ΓL(1,𝔽₃₂) #37563809

order	24180
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×D₁₃×ΓL(1,𝔽₃₂)
unambiguous semidirect product	(D₃×C₁₃)⋊(C₂×ΓL(1,𝔽₃₂))
unambiguous semidirect product	(C₃×D₁₃)⋊(C₂×ΓL(1,𝔽₃₂))
unambiguous semidirect product	D₃₉⋊(C₂×ΓL(1,𝔽₃₂))
unambiguous semidirect product	(D₃×D₁₃×C₃₁)⋊C₅

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₁₃×C₃₁	C₂²×C₅
LCS	G ▷ C₃×C₁₃×C₃₁
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 1209

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24180, 108);