C₃×C₇×C₃₁×C₁₉⋊C₃ #49150810

order	37107
automorphism	?
homology	Abelianization (H₁) = C₃²×C₇×C₃₁ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₇×C₃₁×C₁₉⋊C₃
unambiguous semidirect product	C₁₉⋊(C₃²×C₇×C₃₁)
unambiguous semidirect product	(C₃×C₁₉)⋊(C₃×C₇×C₃₁)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₃₁	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₃²×C₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₁	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₃×C₇×C₃₁

48 conjugacy classes of subgroups.

μ_t(G) = 12369

5859 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37107, 39);