C₃×C₁₉×D₂₆₅ #44475005

order	30210
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₂₆₅
unambiguous semidirect product	C₅⋊(C₃×C₁₉×D₅₃)
unambiguous semidirect product	C₅₃⋊(C₃×D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₆₅
commutator, cosocle, hypocenter	C₅×C₅₃	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₅₃	C₂
LCS	G ▷ C₅×C₅₃
UCS	C₁ ◁ C₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 15105

7638 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30210, 7);