Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂³

Direct product G=N×Q with N=Dic₃ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₃		96		C2^3xDic3	96,218

Semidirect products G=N:Q with N=Dic₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁C₂³ = C₂×S₃×D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	24		Dic3:1C2^3	96,209
Dic₃⋊₂C₂³ = C₂²×C₃⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48		Dic3:2C2^3	96,219
Dic₃⋊₃C₂³ = S₃×C₂²×C₄	φ: trivial image	48		Dic3:3C2^3	96,206

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁C₂³ = C₂²×Dic₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	96		Dic3.1C2^3	96,205
Dic₃.₂C₂³ = C₂×C₄○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.2C2^3	96,208
Dic₃.₃C₂³ = C₂×D₄⋊₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.3C2^3	96,210
Dic₃.₄C₂³ = D₄⋊₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	24	4	Dic3.4C2^3	96,211
Dic₃.₅C₂³ = C₂×S₃×Q₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.5C2^3	96,212
Dic₃.₆C₂³ = Q₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48	4	Dic3.6C2^3	96,214
Dic₃.₇C₂³ = D₄○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	24	4+	Dic3.7C2^3	96,216
Dic₃.₈C₂³ = Q₈○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₃	48	4-	Dic3.8C2^3	96,217
Dic₃.₉C₂³ = C₂×Q₈⋊₃S₃	φ: trivial image	48		Dic3.9C2^3	96,213
Dic₃.₁₀C₂³ = S₃×C₄○D₄	φ: trivial image	24	4	Dic3.10C2^3	96,215

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