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

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

		d	ρ	Label	ID
C₂×Dic₃²		96		C2xDic3^2	288,602

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×Dic₃) = Dic₃×C₃⋊D₄	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	48		Dic3:1(C2xDic3)	288,620
Dic₃⋊₂(C₂×Dic₃) = C₆².₁₁₅C₂³	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	48		Dic3:2(C2xDic3)	288,621
Dic₃⋊₃(C₂×Dic₃) = S₃×C₄⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out Dic₃	96		Dic3:3(C2xDic3)	288,537
Dic₃⋊₄(C₂×Dic₃) = C₂×Dic₃⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out Dic₃	96		Dic3:4(C2xDic3)	288,613
Dic₃⋊₅(C₂×Dic₃) = C₄×S₃×Dic₃	φ: trivial image	96		Dic3:5(C2xDic3)	288,523

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×Dic₃) = D₁₂.₂Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.1(C2xDic3)	288,462
Dic₃.₂(C₂×Dic₃) = D₁₂.Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.2(C2xDic3)	288,463
Dic₃.₃(C₂×Dic₃) = Dic₃×Dic₆	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.3(C2xDic3)	288,490
Dic₃.₄(C₂×Dic₃) = C₆².₁₃C₂³	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.4(C2xDic3)	288,491
Dic₃.₅(C₂×Dic₃) = S₃×C₄.Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.5(C2xDic3)	288,461
Dic₃.₆(C₂×Dic₃) = C₂×D₆.Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out Dic₃	96		Dic3.6(C2xDic3)	288,467
Dic₃.₇(C₂×Dic₃) = C₆².₂₅C₂³	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Out Dic₃	96		Dic3.7(C2xDic3)	288,503
Dic₃.₈(C₂×Dic₃) = C₂×S₃×C₃⋊C₈	φ: trivial image	96		Dic3.8(C2xDic3)	288,460
Dic₃.₉(C₂×Dic₃) = C₆².₁₁C₂³	φ: trivial image	96		Dic3.9(C2xDic3)	288,489
Dic₃.₁₀(C₂×Dic₃) = C₆².₉₇C₂³	φ: trivial image	48		Dic3.10(C2xDic3)	288,603

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