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C₂⁹×C₁₉ #72188458

order	9728
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order ≥ 2⁶³
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂³⁶

Aliases

C₂⁹×C₁₉

Subgroups

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

16566916 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9728 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₂⁸×C₄×C₁₉, C₂¹⁰×C₁₉, C₂⁹×C₃×C₁₉
maximal normal subgroup of	C₂⁸×C₄×C₁₉, C₂¹⁰×C₁₉, C₂⁹×C₃×C₁₉
maximal quotient of	C₂⁸×C₄×C₁₉, C₂¹⁰×C₁₉, C₂⁹×C₃×C₁₉

GAP

Past the SmallGroups library coverage — no SmallGroups id.