C₂×C₃×C₁₉×D₁₃₉ #44540120

order	31692
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₁₉×D₁₃₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	D₁₃₉
commutator, cosocle, hypocenter	C₁₃₉	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₃₉	C₂
LCS	G ▷ C₁₃₉
UCS	C₁ ◁ C₂×C₃×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 15846

8094 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31692, 58);