C₅×C₁₃×C₃⋊D₃×C₁₉ #36372732

order	22230
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₅×C₁₃×C₃⋊D₃×C₁₉
unambiguous semidirect product	C₃⋊(C₅×D₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₃×C₁₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₅×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₁₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₅×C₁₃×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 11115

7410 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22230, 161);