Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₃×D₄

Direct product G=N×Q with N=Dic₃ and Q=C₃×D₄

		d	ρ	Label	ID
C₃×D₄×Dic₃		48		C3xD4xDic3	288,705

Semidirect products G=N:Q with N=Dic₃ and Q=C₃×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₃×D₄) = C₃×C₁₂⋊₃D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3:1(C3xD4)	288,711
Dic₃⋊₂(C₃×D₄) = C₃×Dic₃⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48		Dic3:2(C3xD4)	288,655
Dic₃⋊₃(C₃×D₄) = C₃×C₂³.₁₄D₆	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48		Dic3:3(C3xD4)	288,710
Dic₃⋊₄(C₃×D₄) = C₃×Dic₃⋊₄D₄	φ: trivial image	48		Dic3:4(C3xD4)	288,652
Dic₃⋊₅(C₃×D₄) = C₃×Dic₃⋊₅D₄	φ: trivial image	96		Dic3:5(C3xD4)	288,664

Non-split extensions G=N.Q with N=Dic₃ and Q=C₃×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₃×D₄) = C₃×C₂³.₁₁D₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3.1(C3xD4)	288,656
Dic₃.₂(C₃×D₄) = C₃×C₁₂⋊Q₈	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3.2(C3xD4)	288,659
Dic₃.₃(C₃×D₄) = C₃×S₃×D₈	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.3(C3xD4)	288,681
Dic₃.₄(C₃×D₄) = C₃×S₃×SD₁₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.4(C3xD4)	288,684
Dic₃.₅(C₃×D₄) = C₃×S₃×Q₁₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out Dic₃	96	4	Dic3.5(C3xD4)	288,688
Dic₃.₆(C₃×D₄) = C₃×Dic₃.D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48		Dic3.6(C3xD4)	288,649
Dic₃.₇(C₃×D₄) = C₃×D₆⋊Q₈	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	96		Dic3.7(C3xD4)	288,667
Dic₃.₈(C₃×D₄) = C₃×D₈⋊S₃	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.8(C3xD4)	288,682
Dic₃.₉(C₃×D₄) = C₃×Q₈⋊₃D₆	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.9(C3xD4)	288,685
Dic₃.₁₀(C₃×D₄) = C₃×D₄.D₆	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.10(C3xD4)	288,686
Dic₃.₁₁(C₃×D₄) = C₃×Q₁₆⋊S₃	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out Dic₃	96	4	Dic3.11(C3xD4)	288,689
Dic₃.₁₂(C₃×D₄) = C₃×D₈⋊₃S₃	φ: trivial image	48	4	Dic3.12(C3xD4)	288,683
Dic₃.₁₃(C₃×D₄) = C₃×Q₈.₇D₆	φ: trivial image	48	4	Dic3.13(C3xD4)	288,687
Dic₃.₁₄(C₃×D₄) = C₃×D₂₄⋊C₂	φ: trivial image	96	4	Dic3.14(C3xD4)	288,690

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