C₁₉×C₃₇×D₂₁ #44443293

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

Aliases

direct product	C₁₉×C₃₇×D₂₁
unambiguous semidirect product	C₃⋊(D₇×C₁₉×C₃₇)
unambiguous semidirect product	C₇⋊(D₃×C₁₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₃₇	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₁₉×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₉×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 14763

8436 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 26);