C₁₉×D₇₀₉ #41002287

order	26942
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₇₀₉
unambiguous semidirect product	C₇₀₉⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₇₀₉ ⋊ C₂
derived, Sylow	C₇₀₉ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₇₀₉
commutator, cosocle, hypocenter	C₇₀₉	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₇₀₉	C₂
LCS	G ▷ C₇₀₉
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 13471

6764 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26942, 2);