Extensions 1→N→G→Q→1 with N=C₃³⋊₆D₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₆D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₆D₄		144		C2xC3^3:6D4	432,680

Semidirect products G=N:Q with N=C₃³⋊₆D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₆D₄⋊₁C₂ = S₃×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	48	8-	C3^3:6D4:1C2	432,597
C₃³⋊₆D₄⋊₂C₂ = D₆⋊S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	48	8-	C3^3:6D4:2C2	432,600
C₃³⋊₆D₄⋊₃C₂ = D₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	48	8-	C3^3:6D4:3C2	432,607
C₃³⋊₆D₄⋊₄C₂ = D₆.₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	48	8-	C3^3:6D4:4C2	432,608
C₃³⋊₆D₄⋊₅C₂ = (C₃×D₁₂)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	144		C3^3:6D4:5C2	432,661
C₃³⋊₆D₄⋊₆C₂ = C₁₂.₅₇S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	144		C3^3:6D4:6C2	432,668
C₃³⋊₆D₄⋊₇C₂ = C₁₂⋊S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	72		C3^3:6D4:7C2	432,673
C₃³⋊₆D₄⋊₈C₂ = C₆².₉₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	72		C3^3:6D4:8C2	432,676
C₃³⋊₆D₄⋊₉C₂ = S₃×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	72		C3^3:6D4:9C2	432,684
C₃³⋊₆D₄⋊₁₀C₂ = C₃⋊S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₆D₄	72		C3^3:6D4:10C2	432,685
C₃³⋊₆D₄⋊₁₁C₂ = C₁₂.₇₃S₃²	φ: trivial image	72		C3^3:6D4:11C2	432,667

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