C₁₃×D₁₀₅₁ #41032232

order	27326
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₁₀₅₁
unambiguous semidirect product	C₁₀₅₁⋊(C₂×C₁₃)

Fitting, socle, Hall	C₁₃×C₁₀₅₁ ⋊ C₂
derived, Sylow	C₁₀₅₁ ⋊ C₂×C₁₃

	subgroup	G/H
center, hypercenter	C₁₃	D₁₀₅₁
commutator, cosocle, hypocenter	C₁₀₅₁	C₂×C₁₃
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₀₅₁	C₂
LCS	G ▷ C₁₀₅₁
UCS	C₁ ◁ C₁₃

8 conjugacy classes of subgroups.

μ_t(G) = 13663

6851 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27326, 2);