C₂²×C₃×C₅²×C₁₉⋊C₃ #30685964

order	17100
isoclinism	isoclinic class of C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅² · Schur multiplier (H₂) = C₂×C₃×C₅

Aliases

C₂²×C₃×C₅²×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₅²	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃²×C₅²
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₅²×C₁₉	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂²×C₃×C₅²

480 conjugacy classes of subgroups.

μ_t(G) = 5700

2700 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17100, 601);