D₅×D₁₇×C₁₉⋊C₃ #34084332

order	19380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₅×D₁₇×C₁₉⋊C₃
unambiguous semidirect product	(D₅×C₁₇)⋊(C₂×C₁₉⋊C₃)
unambiguous semidirect product	(C₅×D₁₇)⋊(C₂×C₁₉⋊C₃)
unambiguous semidirect product	D₈₅⋊(C₂×C₁₉⋊C₃)
unambiguous semidirect product	(D₅×C₁₉×D₁₇)⋊C₃

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅×C₁₇×C₁₉	C₂²×C₃
LCS	G ▷ C₅×C₁₇×C₁₉
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 1615

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19380, 44);