C₂²×C₇×C₁₁×C₁₉⋊C₃ #31798334

order	17556
isoclinism	isoclinic class of C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₁₁ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₇×C₁₁×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₇×C₁₁	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃×C₇×C₁₁
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₁×C₁₉	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂²×C₇×C₁₁

80 conjugacy classes of subgroups.

μ_t(G) = 5852

2772 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17556, 149);