Extensions 1→N→G→Q→1 with N=D₆⋊S₃ and Q=C₂

Direct product G=N×Q with N=D₆⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₆⋊S₃		48		C2xD6:S3	144,150

Semidirect products G=N:Q with N=D₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃⋊₁C₂ = C₃²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:1C2	144,117
D₆⋊S₃⋊₂C₂ = D₁₂⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	48	4-	D6:S3:2C2	144,138
D₆⋊S₃⋊₃C₂ = D₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:3C2	144,145
D₆⋊S₃⋊₄C₂ = D₆.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	24	4-	D6:S3:4C2	144,148
D₆⋊S₃⋊₅C₂ = S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:5C2	144,153
D₆⋊S₃⋊₆C₂ = D₆.D₆	φ: trivial image	24	4	D6:S3:6C2	144,141

Non-split extensions G=N.Q with N=D₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃.C₂ = C₃²⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊S₃	24	4-	D6:S3.C2	144,118

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