C₁₉×C₁₃⋊C₃×C₄₁ #44477208

order	30381
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₉×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₁₃⋊C₃×C₄₁
unambiguous semidirect product	C₁₃⋊(C₃×C₁₉×C₄₁)
unambiguous semidirect product	(C₁₃×C₄₁)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₄₁	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃×C₁₉×C₄₁
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₉×C₄₁	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₁₉×C₄₁

16 conjugacy classes of subgroups.

μ_t(G) = 10127

5453 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30381, 3);