D₃×C₇×C₁₃×C₁₉⋊C₃ #44527907

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇×C₁₃×C₁₉⋊C₃
unambiguous semidirect product	C₃⋊(C₂×C₇×C₁₃×C₁₉⋊C₃)
unambiguous semidirect product	(D₃×C₁₉)⋊(C₃×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₃×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₃×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₇×C₁₃

72 conjugacy classes of subgroups.

μ_t(G) = 5187

2457 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 390);