Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×C₄

Direct product G=N×Q with N=Dic₃ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₄×Dic₃		96		C2xC4xDic3	96,129

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₄) = Dic₃⋊₄D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	48		Dic3:1(C2xC4)	96,88
Dic₃⋊₂(C₂×C₄) = C₄×C₃⋊D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	48		Dic3:2(C2xC4)	96,135
Dic₃⋊₃(C₂×C₄) = S₃×C₄⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3:3(C2xC4)	96,98
Dic₃⋊₄(C₂×C₄) = C₂×Dic₃⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₃	96		Dic3:4(C2xC4)	96,130
Dic₃⋊₅(C₂×C₄) = S₃×C₄²	φ: trivial image	48		Dic3:5(C2xC4)	96,78

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₄) = C₄×Dic₆	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	96		Dic3.1(C2xC4)	96,75
Dic₃.₂(C₂×C₄) = Dic₆⋊C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	96		Dic3.2(C2xC4)	96,94
Dic₃.₃(C₂×C₄) = C₈○D₁₂	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	48	2	Dic3.3(C2xC4)	96,108
Dic₃.₄(C₂×C₄) = D₁₂.C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₃	48	4	Dic3.4(C2xC4)	96,114
Dic₃.₅(C₂×C₄) = C₄²⋊₂S₃	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.5(C2xC4)	96,79
Dic₃.₆(C₂×C₄) = C₂×C₈⋊S₃	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.6(C2xC4)	96,107
Dic₃.₇(C₂×C₄) = S₃×M₄(2)	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₃	24	4	Dic3.7(C2xC4)	96,113
Dic₃.₈(C₂×C₄) = C₂³.₁₆D₆	φ: trivial image	48		Dic3.8(C2xC4)	96,84
Dic₃.₉(C₂×C₄) = C₄⋊C₄⋊₇S₃	φ: trivial image	48		Dic3.9(C2xC4)	96,99
Dic₃.₁₀(C₂×C₄) = S₃×C₂×C₈	φ: trivial image	48		Dic3.10(C2xC4)	96,106

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