D₁₃×C₁₀₉₁ #43248672

order	28366
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₀₉₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₁₃×C₁₀₉₁
unambiguous semidirect product	C₁₃⋊(C₂×C₁₀₉₁)

Fitting, socle, Hall	C₁₃×C₁₀₉₁ ⋊ C₂
derived, Sylow	C₁₃ ⋊ C₂×C₁₀₉₁

	subgroup	G/H
center, hypercenter	C₁₀₉₁	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂×C₁₀₉₁
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₀₉₁	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₁₀₉₁

8 conjugacy classes of subgroups.

μ_t(G) = 14183

8728 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28366, 1);