Extensions 1→N→G→Q→1 with N=D₆.₆D₆ and Q=C₂

Direct product G=N×Q with N=D₆.₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₆.₆D₆		48		C2xD6.6D6	288,949

Semidirect products G=N:Q with N=D₆.₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₆D₆⋊₁C₂ = C₂₄⋊₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	4+	D6.6D6:1C2	288,442
D₆.₆D₆⋊₂C₂ = D₆.₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	4	D6.6D6:2C2	288,454
D₆.₆D₆⋊₃C₂ = D₆.₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	4+	D6.6D6:3C2	288,456
D₆.₆D₆⋊₄C₂ = D₁₂.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6:4C2	288,582
D₆.₆D₆⋊₅C₂ = Dic₆.₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6:5C2	288,583
D₆.₆D₆⋊₆C₂ = D₁₂.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6:6C2	288,597
D₆.₆D₆⋊₇C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	4	D6.6D6:7C2	288,945
D₆.₆D₆⋊₈C₂ = D₁₂⋊₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	24	4+	D6.6D6:8C2	288,956
D₆.₆D₆⋊₉C₂ = Dic₆⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	24	8+	D6.6D6:9C2	288,960
D₆.₆D₆⋊₁₀C₂ = D₁₂⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	24	8+	D6.6D6:10C2	288,962
D₆.₆D₆⋊₁₁C₂ = Dic₆.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6:11C2	288,964
D₆.₆D₆⋊₁₂C₂ = S₃×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6:12C2	288,966
D₆.₆D₆⋊₁₃C₂ = S₃×C₄○D₁₂	φ: trivial image	48	4	D6.6D6:13C2	288,953

Non-split extensions G=N.Q with N=D₆.₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₆D₆.₁C₂ = Dic₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	4	D6.6D6.1C2	288,449
D₆.₆D₆.₂C₂ = Dic₆.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₆D₆	48	8+	D6.6D6.2C2	288,596

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