C₃×C₁₉×#10587721 #44527851

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

Aliases

	subgroup	G/H
center, hypercenter	C₃×C₁₉	#10587721
commutator, cosocle, hypocenter	C₇×C₁₃	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₃×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 5187

1539 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 334);