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

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

		d	ρ	Label	ID
S₃×C₂×C₆		24		S3xC2xC6	72,48

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₆ = C₃×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out D₆	24	2	D6:1C6	72,28
D₆⋊₂C₆ = C₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₆	12	2	D6:2C6	72,30

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₆ = S₃×C₁₂	φ: trivial image	24	2	D6.C6	72,27

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