C₃×C₁₉×D₁₄₅ #30658346

order	16530
isoclinism	isoclinic class of D₁₄₅
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₁₄₅
unambiguous semidirect product	C₅⋊(C₃×C₁₉×D₂₉)
unambiguous semidirect product	C₂₉⋊(C₃×D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₁₄₅
commutator, cosocle, hypocenter	C₅×C₂₉	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂
LCS	G ▷ C₅×C₂₉
UCS	C₁ ◁ C₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 8265

4218 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16530, 7);