Extensions 1→N→G→Q→1 with N=C₂×C₉⋊C₉ and Q=C₃

Direct product G=N×Q with N=C₂×C₉⋊C₉ and Q=C₃

		d	ρ	Label	ID
C₆×C₉⋊C₉		486		C6xC9:C9	486,192

Semidirect products G=N:Q with N=C₂×C₉⋊C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₉)⋊₁C₃ = C₂×C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	54	9	(C2xC9:C9):1C3	486,88
(C₂×C₉⋊C₉)⋊₂C₃ = C₂×C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	54	9	(C2xC9:C9):2C3	486,90
(C₂×C₉⋊C₉)⋊₃C₃ = C₂×C₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):3C3	486,200
(C₂×C₉⋊C₉)⋊₄C₃ = C₂×C₃³.₃₁C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):4C3	486,201
(C₂×C₉⋊C₉)⋊₅C₃ = C₂×C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):5C3	486,202
(C₂×C₉⋊C₉)⋊₆C₃ = C₂×C₉²⋊₄C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):6C3	486,203
(C₂×C₉⋊C₉)⋊₇C₃ = C₂×C₉²⋊₅C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):7C3	486,204
(C₂×C₉⋊C₉)⋊₈C₃ = C₂×C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):8C3	486,205
(C₂×C₉⋊C₉)⋊₉C₃ = C₂×C₉²⋊₉C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	162		(C2xC9:C9):9C3	486,206
(C₂×C₉⋊C₉)⋊₁₀C₃ = C₂×C₉²⋊₃C₃	φ: trivial image	162		(C2xC9:C9):10C3	486,193
(C₂×C₉⋊C₉)⋊₁₁C₃ = C₁₈×3_-¹⁺²	φ: trivial image	162		(C2xC9:C9):11C3	486,195

Non-split extensions G=N.Q with N=C₂×C₉⋊C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₉).₁C₃ = C₂×C₂₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	54	9	(C2xC9:C9).1C3	486,82
(C₂×C₉⋊C₉).₂C₃ = C₂×C₃².₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉⋊C₉	54	9	(C2xC9:C9).2C3	486,89

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁