C₃×D₃₅×C₁₃₉ #44415901

order	29190
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₃₅×C₁₃₉
unambiguous semidirect product	C₅⋊(C₃×D₇×C₁₃₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₃₉	D₃₅
commutator, cosocle, hypocenter	C₅×C₇	C₂×C₃×C₁₃₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₁₃₉	C₂
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₃×C₁₃₉

32 conjugacy classes of subgroups.

μ_t(G) = 14595

7923 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29190, 11);