C₇×C₁₉×D₁₁₁ #44443290

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

Aliases

direct product	C₇×C₁₉×D₁₁₁
unambiguous semidirect product	C₃⋊(C₇×C₁₉×D₃₇)
unambiguous semidirect product	C₃₇⋊(D₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₁₁₁
commutator, cosocle, hypocenter	C₃×C₃₇	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₃×C₃₇
UCS	C₁ ◁ C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 14763

7581 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 23);