C₃×C₁₃×C₁₇×D₁₅ #34091068

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×C₁₇×D₁₅
unambiguous semidirect product	C₃⋊(C₃×D₅×C₁₃×C₁₇)
unambiguous semidirect product	C₅⋊(C₃×D₃×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₃×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₁₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₃×C₁₃×C₁₇

72 conjugacy classes of subgroups.

μ_t(G) = 6630

5967 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 53);