D₃×C₇×C₁₉×C₃₇ #44443289

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇×C₁₉×C₃₇
unambiguous semidirect product	C₃⋊(C₂×C₇×C₁₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₇×C₁₉×C₃₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇×C₁₉×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇×C₁₉×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 14763

14763 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 22);