C₁₇×D₁₀₆₉ #49138168

order	36346
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₁₀₆₉
unambiguous semidirect product	C₁₀₆₉⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₁₀₆₉ ⋊ C₂
derived, Sylow	C₁₀₆₉ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₁₀₆₉
commutator, cosocle, hypocenter	C₁₀₆₉	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₀₆₉	C₂
LCS	G ▷ C₁₀₆₉
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 18173

9112 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36346, 2);