C₂×C₁₉×C₅⋊(D₁₉⋊C₃) #36343231

order	21660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×C₅⋊(D₁₉⋊C₃)
unambiguous semidirect product	(C₂×C₅)⋊(C₁₉×D₁₉⋊C₃)
unambiguous semidirect product	(C₂×C₁₉⋊C₃)⋊(D₅×C₁₉)
unambiguous semidirect product	(C₂×D₉₅)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₅⋊(D₁₉⋊C₃)
commutator, cosocle, hypocenter	C₅×C₁₉	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉²	C₂×C₃
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₂×C₁₉

92 conjugacy classes of subgroups.

μ_t(G) = 1140

1026 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21660, 155);