Extensions 1→N→G→Q→1 with N=C₆.D₆ and Q=C₂

Direct product G=N×Q with N=C₆.D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₆.D₆		24		C2xC6.D6	144,149

Semidirect products G=N:Q with N=C₆.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆⋊₁C₂ = D₆.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	24	4+	C6.D6:1C2	144,142
C₆.D₆⋊₂C₂ = D₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6:2C2	144,147
C₆.D₆⋊₃C₂ = Dic₃⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	12	4+	C6.D6:3C2	144,154
C₆.D₆⋊₄C₂ = S₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	12	4+	C6.D6:4C2	144,115
C₆.D₆⋊₅C₂ = C₄×S₃²	φ: trivial image	24	4	C6.D6:5C2	144,143

Non-split extensions G=N.Q with N=C₆.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆.₁C₂ = Dic₃.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.1C2	144,140
C₆.D₆.₂C₂ = C₃⋊S₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6.2C2	144,116

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