C₁₃×C₄₁×C₁₉⋊C₃ #44477207

order	30381
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₃×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

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

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

16 conjugacy classes of subgroups.

μ_t(G) = 10127

4797 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30381, 2);