D₉×C₁₄₅₁ #39908331

order	26118
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₄₅₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₄₅₁
unambiguous semidirect product	C₉⋊(C₂×C₁₄₅₁)

Fitting, Hall	C₉×C₁₄₅₁ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₄₅₁

	subgroup	G/H
center, hypercenter	C₁₄₅₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₄₅₁
Frattini	C₃	D₃×C₁₄₅₁
Fitting	C₉×C₁₄₅₁	C₂
socle	C₃×C₁₄₅₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₄₅₁

12 conjugacy classes of subgroups.

μ_t(G) = 13059

8706 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26118, 2);