C₃×D₁₃×D₁₃₃ #35209136

order	20748
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₁₃×D₁₃₃

	subgroup	G/H
center, hypercenter	C₃	D₁₃×D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₃×C₁₉	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₇×C₁₃×C₁₉
UCS	C₁ ◁ C₃

80 conjugacy classes of subgroups.

μ_t(G) = 5187

1632 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 364);