C₃×C₂₉×D₁₁₉ #35208477

order	20706
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₂₉×D₁₁₉
unambiguous semidirect product	C₁₇⋊(C₃×D₇×C₂₉)

	subgroup	G/H
center, hypercenter	C₃×C₂₉	D₁₁₉
commutator, cosocle, hypocenter	C₇×C₁₇	C₂×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₂₉	C₂
LCS	G ▷ C₇×C₁₇
UCS	C₁ ◁ C₃×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 10353

5307 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20706, 9);