Finite Group Databasebeta

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C₃³×C₅×C₁₉ #72182449

order	2565
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 808704
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃³

Aliases

C₃³×C₅×C₁₉

Subgroups

	subgroup	G/H
center	G	C₁
commutator, Frattini	C₁	G
LCS	G ▷ C₁
UCS	C₁ ◁ G

112 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2565 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₂×C₃³×C₅×C₁₉, C₃²×C₅×C₉×C₁₉, C₃⁴×C₅×C₁₉, …
maximal normal subgroup of	C₂×C₃³×C₅×C₁₉, C₃²×C₅×C₉×C₁₉, C₃⁴×C₅×C₁₉, …
maximal quotient of	C₂×C₃³×C₅×C₁₉, C₃²×C₅×C₉×C₁₉, C₃⁴×C₅×C₁₉, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.