C₃×C₁₁×D₇×C₁₉⋊C₃ #39911880

order	26334
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₁ · Schur multiplier (H₂) = C₃

Aliases

C₃×C₁₁×D₇×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₁₁	D₇×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃²×C₁₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₁×C₁₉	C₂×C₃
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃×C₁₁

96 conjugacy classes of subgroups.

μ_t(G) = 4389

1485 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26334, 107);