C₃×C₁₉×D₂₅₉ #44443286

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₁₉×D₂₅₉

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₅₉
commutator, cosocle, hypocenter	C₇×C₃₇	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₇×C₃₇
UCS	C₁ ◁ C₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 14763

7467 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 19);