D₉×C₁₅₆₇ #43245702

order	28206
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₅₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₅₆₇
unambiguous semidirect product	C₉⋊(C₂×C₁₅₆₇)

Fitting, Hall	C₉×C₁₅₆₇ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₅₆₇

	subgroup	G/H
center, hypercenter	C₁₅₆₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₅₆₇
Frattini	C₃	D₃×C₁₅₆₇
Fitting	C₉×C₁₅₆₇	C₂
socle	C₃×C₁₅₆₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₅₆₇

12 conjugacy classes of subgroups.

μ_t(G) = 14103

9402 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28206, 4);