Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=Q₈

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃⋊Dic₃		288		Q8xC3:Dic3	288,802

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁Q₈ = C₆².₉C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3:1Q8	288,487
C₃⋊Dic₃⋊₂Q₈ = C₄×PSU₃(𝔽₂)	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	36	8	C3:Dic3:2Q8	288,892
C₃⋊Dic₃⋊₃Q₈ = C₄⋊PSU₃(𝔽₂)	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	36	8	C3:Dic3:3Q8	288,893
C₃⋊Dic₃⋊₄Q₈ = C₆².₈C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:4Q8	288,486
C₃⋊Dic₃⋊₅Q₈ = C₆².₁₃C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:5Q8	288,491
C₃⋊Dic₃⋊₆Q₈ = C₆².₄₃C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:6Q8	288,521
C₃⋊Dic₃⋊₇Q₈ = C₁₂⋊Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:7Q8	288,567
C₃⋊Dic₃⋊₈Q₈ = C₁₂⋊₂Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	288		C3:Dic3:8Q8	288,745
C₃⋊Dic₃⋊₉Q₈ = C₆².₂₅₉C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	288		C3:Dic3:9Q8	288,801
C₃⋊Dic₃⋊₁₀Q₈ = C₆².₂₃₁C₂³	φ: trivial image	288		C3:Dic3:10Q8	288,744

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁Q₈ = C₃²⋊C₄⋊C₈	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.1Q8	288,380
C₃⋊Dic₃.₂Q₈ = C₆².₆D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.2Q8	288,390
C₃⋊Dic₃.₃Q₈ = C₆².₇D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.3Q8	288,391
C₃⋊Dic₃.₄Q₈ = C₆².₁₇C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.4Q8	288,495
C₃⋊Dic₃.₅Q₈ = C₄.₃PSU₃(𝔽₂)	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8	C3:Dic3.5Q8	288,891
C₃⋊Dic₃.₆Q₈ = C₈⋊(C₃²⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.6Q8	288,416
C₃⋊Dic₃.₇Q₈ = C₃⋊S₃.₄D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.7Q8	288,417
C₃⋊Dic₃.₈Q₈ = (C₃×C₁₂)⋊₄C₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.8Q8	288,424
C₃⋊Dic₃.₉Q₈ = C₃²⋊₅(C₄⋊C₈)	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.9Q8	288,427
C₃⋊Dic₃.₁₀Q₈ = C₆².₄₀C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.10Q8	288,518
C₃⋊Dic₃.₁₁Q₈ = C₆².₂₃₃C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊Dic₃	288		C3:Dic3.11Q8	288,746

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