C₂×C₃₁×D₁₇₁ #35234362

order	21204
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃₁×D₁₇₁
unambiguous semidirect product	(C₂×C₉)⋊(C₃₁×D₁₉)
unambiguous semidirect product	(C₂×C₁₉)⋊(D₉×C₃₁)

	subgroup	G/H
center, hypercenter	C₂×C₃₁	D₁₇₁
commutator, cosocle, hypocenter	C₉×C₁₉	C₂²×C₃₁
Frattini	C₃	C₂×C₃₁×D₅₇
Fitting	C₂×C₉×C₁₉×C₃₁	C₂
socle	C₂×C₃×C₁₉×C₃₁	D₃
LCS	G ▷ C₉×C₁₉
UCS	C₁ ◁ C₂×C₃₁

60 conjugacy classes of subgroups.

μ_t(G) = 10602

5394 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21204, 59);