C₇×C₁₃×D₁₇₁ #44527540

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

Aliases

direct product	C₇×C₁₃×D₁₇₁
unambiguous semidirect product	C₉⋊(C₇×C₁₃×D₁₉)
unambiguous semidirect product	C₁₉⋊(C₇×C₁₃×D₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₁₇₁
commutator, cosocle, hypocenter	C₉×C₁₉	C₂×C₇×C₁₃
Frattini	C₃	C₇×C₁₃×D₅₇
Fitting	C₇×C₉×C₁₃×C₁₉	C₂
socle	C₃×C₇×C₁₃×C₁₉	D₃
LCS	G ▷ C₉×C₁₉
UCS	C₁ ◁ C₇×C₁₃

48 conjugacy classes of subgroups.

μ_t(G) = 15561

7917 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 23);