C₂×C₃×C₁₃×D₁₃₃ #35209202

order	20748
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₁₃×D₁₃₃

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₃	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₂×C₃×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 10374

5304 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 430);