C₂×C₅×C₁₉×D₅₇ #36343289

order	21660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×C₁₉×D₅₇
unambiguous semidirect product	(C₂×C₃)⋊(C₅×C₁₉×D₁₉)
unambiguous semidirect product	(C₂×C₁₉)⋊(C₅×D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₉²	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₂×C₅×C₁₉

152 conjugacy classes of subgroups.

μ_t(G) = 1140

5700 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21660, 213);