Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×Dic₃

Direct product G=N×Q with N=D₆ and Q=C₂×Dic₃

		d	ρ	Label	ID
C₂²×S₃×Dic₃		96		C2^2xS3xDic3	288,969

Semidirect products G=N:Q with N=D₆ and Q=C₂×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×Dic₃) = Dic₃×D₁₂	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	96		D6:1(C2xDic3)	288,540
D₆⋊₂(C₂×Dic₃) = D₁₂⋊Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	96		D6:2(C2xDic3)	288,546
D₆⋊₃(C₂×Dic₃) = Dic₃×C₃⋊D₄	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	48		D6:3(C2xDic3)	288,620
D₆⋊₄(C₂×Dic₃) = C₆².₁₁₅C₂³	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	48		D6:4(C2xDic3)	288,621
D₆⋊₅(C₂×Dic₃) = C₂×D₆⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out D₆	96		D6:5(C2xDic3)	288,608
D₆⋊₆(C₂×Dic₃) = S₃×C₆.D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out D₆	48		D6:6(C2xDic3)	288,616

Non-split extensions G=N.Q with N=D₆ and Q=C₂×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×Dic₃) = D₁₂.₂Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	48	4	D6.1(C2xDic3)	288,462
D₆.₂(C₂×Dic₃) = D₁₂.Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out D₆	48	4	D6.2(C2xDic3)	288,463
D₆.₃(C₂×Dic₃) = C₂×D₆.Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out D₆	96		D6.3(C2xDic3)	288,467
D₆.₄(C₂×Dic₃) = C₆².₁₁C₂³	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out D₆	96		D6.4(C2xDic3)	288,489
D₆.₅(C₂×Dic₃) = C₆².₂₅C₂³	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out D₆	96		D6.5(C2xDic3)	288,503
D₆.₆(C₂×Dic₃) = C₂×S₃×C₃⋊C₈	φ: trivial image	96		D6.6(C2xDic3)	288,460
D₆.₇(C₂×Dic₃) = S₃×C₄.Dic₃	φ: trivial image	48	4	D6.7(C2xDic3)	288,461
D₆.₈(C₂×Dic₃) = C₄×S₃×Dic₃	φ: trivial image	96		D6.8(C2xDic3)	288,523
D₆.₉(C₂×Dic₃) = S₃×C₄⋊Dic₃	φ: trivial image	96		D6.9(C2xDic3)	288,537

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