C₃×C₁₃×#6908 #23745074

order	9477
nilpotency class	3
automorphism	?
homology	Abelianization (H₁) = C₃⁴×C₁₃ · Schur multiplier (H₂) = C₃⁶

Aliases

	subgroup	G/H
center	C₃×C₉×C₁₃	H(3,𝔽₃)
commutator, Frattini, cosocle	C₃²	C₃⁴×C₁₃
socle	C₃²×C₁₃	C₃×H(3,𝔽₃)
LCS	G ▷ C₃² ▷ C₃ ▷ C₁
UCS	C₁ ◁ C₃×C₉×C₁₃ ◁ C₃²×C₉×C₁₃ ◁ G

1064 conjugacy classes of subgroups; only the 476 normal subgroups are shown.

normal subgroups only

This group has 1064 conjugacy classes of subgroups — too many to draw. Only its 476 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

1989 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 483);