C₃×C₁₃×C₁₉×D₂₁ #44528034

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×C₁₉×D₂₁
unambiguous semidirect product	C₃⋊(C₃×C₁₃×D₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₉	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₃×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₃×C₁₃×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 10374

8892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 517);