C₁₇×D₁₀₅₁ #49088295

order	35734
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₁₀₅₁
unambiguous semidirect product	C₁₀₅₁⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₁₀₅₁ ⋊ C₂
derived, Sylow	C₁₀₅₁ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₁₀₅₁
commutator, cosocle, hypocenter	C₁₀₅₁	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₀₅₁	C₂
LCS	G ▷ C₁₀₅₁
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 17867

8959 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35734, 2);