C₇×C₁₃×D₉×C₁₉ #44527539

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₃×D₉×C₁₉
unambiguous semidirect product	C₉⋊(C₂×C₇×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₁₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₇×C₁₃×C₁₉
Frattini	C₃	D₃×C₇×C₁₃×C₁₉
Fitting	C₇×C₉×C₁₃×C₁₉	C₂
socle	C₃×C₇×C₁₃×C₁₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₇×C₁₃×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 15561

10374 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 22);