C₇×C₁₉×C₃⋊D₃₉ #44528040

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₇×C₁₉×C₃⋊D₃₉
unambiguous semidirect product	C₃⋊(C₇×C₁₉×D₃₉)
unambiguous semidirect product	C₁₃⋊(C₇×C₃⋊D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₃⋊D₃₉
commutator, cosocle, hypocenter	C₃²×C₁₃	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₃²×C₁₃
UCS	C₁ ◁ C₇×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 15561

7980 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 523);