Extensions 1→N→G→Q→1 with N=D₆.₄D₆ and Q=C₂

Direct product G=N×Q with N=D₆.₄D₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₆.₄D₆		48		C2xD6.4D6	288,971

Semidirect products G=N:Q with N=D₆.₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₄D₆⋊₁C₂ = C₆².₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	24	4	D6.4D6:1C2	288,884
D₆.₄D₆⋊₂C₂ = C₆².₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	8-	D6.4D6:2C2	288,885
D₆.₄D₆⋊₃C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	4-	D6.4D6:3C2	288,946
D₆.₄D₆⋊₄C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	8-	D6.4D6:4C2	288,957
D₆.₄D₆⋊₅C₂ = S₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	8-	D6.4D6:5C2	288,959
D₆.₄D₆⋊₆C₂ = D₁₂⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	8-	D6.4D6:6C2	288,961
D₆.₄D₆⋊₇C₂ = C₃²⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	24	4	D6.4D6:7C2	288,978
D₆.₄D₆⋊₈C₂ = D₁₂⋊₂₃D₆	φ: trivial image	24	4	D6.4D6:8C2	288,954

Non-split extensions G=N.Q with N=D₆.₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₄D₆.₁C₂ = Dic₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	24	4-	D6.4D6.1C2	288,389
D₆.₄D₆.₂C₂ = C₆².₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆.₄D₆	48	4-	D6.4D6.2C2	288,887

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