C₁₃×C₁₇×C₃⋊D₁₅ #34091060

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

Aliases

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

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

96 conjugacy classes of subgroups.

μ_t(G) = 9945

5304 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 45);