Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=D₆

Direct product G=N×Q with N=C₃⋊D₄ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×C₃⋊D₄		48		C2xS3xC3:D4	288,976

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁D₆ = S₃²×D₄	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	24	8+	C3:D4:1D6	288,958
C₃⋊D₄⋊₂D₆ = S₃×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4:2D6	288,959
C₃⋊D₄⋊₃D₆ = Dic₆⋊₁₂D₆	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	24	8+	C3:D4:3D6	288,960
C₃⋊D₄⋊₄D₆ = D₁₂⋊₁₂D₆	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4:4D6	288,961
C₃⋊D₄⋊₅D₆ = D₁₂⋊₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	24	8+	C3:D4:5D6	288,962
C₃⋊D₄⋊₆D₆ = D₁₂⋊₂₃D₆	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	24	4	C3:D4:6D6	288,954
C₃⋊D₄⋊₇D₆ = D₁₂⋊₂₇D₆	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	24	4+	C3:D4:7D6	288,956
C₃⋊D₄⋊₈D₆ = C₂×D₆.₄D₆	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:8D6	288,971
C₃⋊D₄⋊₉D₆ = C₂×Dic₃⋊D₆	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	24		C3:D4:9D6	288,977
C₃⋊D₄⋊₁₀D₆ = C₃²⋊2₊¹⁺⁴	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	24	4	C3:D4:10D6	288,978
C₃⋊D₄⋊₁₁D₆ = S₃×C₄○D₁₂	φ: trivial image	48	4	C3:D4:11D6	288,953
C₃⋊D₄⋊₁₂D₆ = D₁₂⋊₂₄D₆	φ: trivial image	48	4	C3:D4:12D6	288,955
C₃⋊D₄⋊₁₃D₆ = C₂×D₆.₃D₆	φ: trivial image	48		C3:D4:13D6	288,970

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.₁D₆ = Dic₆.₂₄D₆	φ: D₆/S₃ → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4.1D6	288,957
C₃⋊D₄.₂D₆ = D₁₂.₃₄D₆	φ: D₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48	4-	C3:D4.2D6	288,946
C₃⋊D₄.₃D₆ = D₁₂.₃₃D₆	φ: trivial image	48	4	C3:D4.3D6	288,945

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