D₉×C₁₂₁₇ #36346604

order	21906
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₂₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₂₁₇
unambiguous semidirect product	C₉⋊(C₂×C₁₂₁₇)

Fitting, Hall	C₉×C₁₂₁₇ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₂₁₇

	subgroup	G/H
center, hypercenter	C₁₂₁₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₂₁₇
Frattini	C₃	D₃×C₁₂₁₇
Fitting	C₉×C₁₂₁₇	C₂
socle	C₃×C₁₂₁₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₂₁₇

12 conjugacy classes of subgroups.

μ_t(G) = 10953

7302 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21906, 2);