Extensions 1→N→G→Q→1 with N=D₆⋊S₃ and Q=C₆

Direct product G=N×Q with N=D₆⋊S₃ and Q=C₆

		d	ρ	Label	ID
C₆×D₆⋊S₃		48		C6xD6:S3	432,655

Semidirect products G=N:Q with N=D₆⋊S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃⋊₁C₆ = C₃×C₃²⋊D₈	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:1C6	432,576
D₆⋊S₃⋊₂C₆ = C₃×D₁₂⋊₅S₃	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	48	4	D6:S3:2C6	432,643
D₆⋊S₃⋊₃C₆ = C₃×D₆⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	48	4	D6:S3:3C6	432,650
D₆⋊S₃⋊₄C₆ = C₃×D₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:4C6	432,653
D₆⋊S₃⋊₅C₆ = C₃×S₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:5C6	432,658
D₆⋊S₃⋊₆C₆ = C₃×D₆.D₆	φ: trivial image	48	4	D6:S3:6C6	432,646

Non-split extensions G=N.Q with N=D₆⋊S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃.C₆ = C₃×C₃²⋊₂SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3.C6	432,577

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