C₃×D₁₃×D₂₁₁ #45681818

order	32916
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₁₃×D₂₁₁

	subgroup	G/H
center, hypercenter	C₃	D₁₃×D₂₁₁
commutator, cosocle, hypocenter	C₁₃×C₂₁₁	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₂₁₁	C₂²
LCS	G ▷ C₁₃×C₂₁₁
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 8229

2568 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32916, 52);