Extensions 1→N→G→Q→1 with N=C₁₂.₂₉D₆ and Q=C₂

Direct product G=N×Q with N=C₁₂.₂₉D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂.₂₉D₆		48		C2xC12.29D6	288,464

Semidirect products G=N:Q with N=C₁₂.₂₉D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.₂₉D₆⋊₁C₂ = D₁₂.₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	8-	C12.29D6:1C2	288,584
C₁₂.₂₉D₆⋊₂C₂ = D₁₂.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	8+	C12.29D6:2C2	288,598
C₁₂.₂₉D₆⋊₃C₂ = D₁₂⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	24	8+	C12.29D6:3C2	288,574
C₁₂.₂₉D₆⋊₄C₂ = Dic₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	24	8+	C12.29D6:4C2	288,578
C₁₂.₂₉D₆⋊₅C₂ = D₁₂.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	8-	C12.29D6:5C2	288,588
C₁₂.₂₉D₆⋊₆C₂ = S₃²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	24	4	C12.29D6:6C2	288,374
C₁₂.₂₉D₆⋊₇C₂ = C₃⋊S₃.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	24	4	C12.29D6:7C2	288,377
C₁₂.₂₉D₆⋊₈C₂ = C₂₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	4	C12.29D6:8C2	288,439
C₁₂.₂₉D₆⋊₉C₂ = C₂₄.₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	4	C12.29D6:9C2	288,452
C₁₂.₂₉D₆⋊₁₀C₂ = C₃⋊C₈.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	4	C12.29D6:10C2	288,465
C₁₂.₂₉D₆⋊₁₁C₂ = C₃⋊C₈⋊₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	24	4	C12.29D6:11C2	288,466
C₁₂.₂₉D₆⋊₁₂C₂ = S₃²×C₈	φ: trivial image	48	4	C12.29D6:12C2	288,437

Non-split extensions G=N.Q with N=C₁₂.₂₉D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.₂₉D₆.₁C₂ = Dic₆.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	8-	C12.29D6.1C2	288,592
C₁₂.₂₉D₆.₂C₂ = C₃⋊S₃.₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	4	C12.29D6.2C2	288,378
C₁₂.₂₉D₆.₃C₂ = C₃²⋊C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.₂₉D₆	48	4	C12.29D6.3C2	288,380

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