Finite Group Databasebeta

← Prev (#72185169) Next (#72185171) →

C₃³×C₁₃×C₁₇ #72185170

order	5967
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 2156544
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃³

Aliases

C₃³×C₁₃×C₁₇

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

5967 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₂×C₃³×C₁₃×C₁₇, C₃²×C₉×C₁₃×C₁₇, C₃⁴×C₁₃×C₁₇, …
maximal normal subgroup of	C₂×C₃³×C₁₃×C₁₇, C₃²×C₉×C₁₃×C₁₇, C₃⁴×C₁₃×C₁₇, …
maximal quotient of	C₂×C₃³×C₁₃×C₁₇, C₃²×C₉×C₁₃×C₁₇, C₃⁴×C₁₃×C₁₇, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.