C₂×C₁₉×C₂₂₉⋊C₃ #39908252

order	26106
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₂×C₁₉×C₂₂₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₂₂₉⋊C₃
commutator, cosocle, hypocenter	C₂₂₉	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₂₂₉	C₃
LCS	G ▷ C₂₂₉
UCS	C₁ ◁ C₂×C₁₉

16 conjugacy classes of subgroups.

3002 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26106, 3);