Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₂³

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₃⋊D₄		96		C2^3xC3:D4	192,1529

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁C₂³ = C₂²×S₃×D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:1C2^3	192,1514
C₃⋊D₄⋊₂C₂³ = C₂²×D₄⋊₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	96		C3:D4:2C2^3	192,1515
C₃⋊D₄⋊₃C₂³ = C₂×D₄⋊₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:3C2^3	192,1516
C₃⋊D₄⋊₄C₂³ = C₂×S₃×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:4C2^3	192,1520
C₃⋊D₄⋊₅C₂³ = C₂×D₄○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:5C2^3	192,1521
C₃⋊D₄⋊₆C₂³ = S₃×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	24	8+	C3:D4:6C2^3	192,1524
C₃⋊D₄⋊₇C₂³ = C₂²×C₄○D₁₂	φ: trivial image	96		C3:D4:7C2^3	192,1513

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.₁C₂³ = C₂×Q₈○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	96		C3:D4.1C2^3	192,1522
C₃⋊D₄.₂C₂³ = C₆.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48	4	C3:D4.2C2^3	192,1523
C₃⋊D₄.₃C₂³ = D₆.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4.3C2^3	192,1525
C₃⋊D₄.₄C₂³ = S₃×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8-	C3:D4.4C2^3	192,1526
C₃⋊D₄.₅C₂³ = D₁₂.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊D₄	48	8+	C3:D4.5C2^3	192,1527
C₃⋊D₄.₆C₂³ = C₂×Q₈.₁₅D₆	φ: trivial image	96		C3:D4.6C2^3	192,1519

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