C₂×C₃×C₁₉×#63270 #44528017

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

C₂×C₃×C₁₉×#63270

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	#63270
commutator, cosocle, hypocenter	C₇×C₁₃	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₃×C₁₉	C₃
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₂×C₃×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 10374

3762 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 500);