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

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

		d	ρ	Label	ID
C₂×D₆.D₆		48		C2xD6.D6	288,948

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.D₆⋊₁C₂ = C₃²⋊D₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6:1C2	288,871
D₆.D₆⋊₂C₂ = C₃²⋊D₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	24	4	D6.D6:2C2	288,872
D₆.D₆⋊₃C₂ = S₃×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6:3C2	288,953
D₆.D₆⋊₄C₂ = D₁₂⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	24	4	D6.D6:4C2	288,954
D₆.D₆⋊₅C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	8-	D6.D6:5C2	288,957
D₆.D₆⋊₆C₂ = D₁₂⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	8-	D6.D6:6C2	288,961
D₆.D₆⋊₇C₂ = D₁₂⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	24	8+	D6.D6:7C2	288,962
D₆.D₆⋊₈C₂ = D₁₂.₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	8-	D6.D6:8C2	288,963
D₆.D₆⋊₉C₂ = Dic₆.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	8+	D6.D6:9C2	288,964
D₆.D₆⋊₁₀C₂ = D₁₂⋊₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	8+	D6.D6:10C2	288,968

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.D₆.₁C₂ = C₃²⋊C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6.1C2	288,379
D₆.D₆.₂C₂ = C₂₄.₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6.2C2	288,452
D₆.D₆.₃C₂ = C₂₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6.3C2	288,453
D₆.D₆.₄C₂ = C₃²⋊Q₁₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.D₆	48	4	D6.D6.4C2	288,874
D₆.D₆.₅C₂ = C₂₄.₆₃D₆	φ: trivial image	48	4	D6.D6.5C2	288,451

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