C₂²×C₃×C₁₃×C₄₉⋊C₃ #37524310

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₁₃×C₄₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₁₃	C₄₉⋊C₃
commutator, cosocle, hypocenter	C₄₉	C₂²×C₃²×C₁₃
Frattini	C₇	C₂²×C₃×C₁₃×ΓL(1,𝔽₈)
Fitting	C₂²×C₃×C₁₃×C₄₉	C₃
socle	C₂²×C₃×C₇×C₁₃	ΓL(1,𝔽₈)
LCS	G ▷ C₄₉
UCS	C₁ ◁ C₂²×C₃×C₁₃

180 conjugacy classes of subgroups.

μ_t(G) = 7644

2964 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 255);