Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₈

Direct product G=N×Q with N=Dic₃ and Q=D₈

		d	ρ	Label	ID
Dic₃×D₈		96		Dic3xD8	192,708

Semidirect products G=N:Q with N=Dic₃ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₈ = C₂₄⋊₅D₄	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	96		Dic3:1D8	192,710
Dic₃⋊₂D₈ = D₁₂⋊₃D₄	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96		Dic3:2D8	192,345
Dic₃⋊₃D₈ = Dic₃⋊D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96		Dic3:3D8	192,709
Dic₃⋊₄D₈ = Dic₃⋊₄D₈	φ: trivial image	96		Dic3:4D8	192,315
Dic₃⋊₅D₈ = Dic₃⋊₅D₈	φ: trivial image	96		Dic3:5D8	192,431

Non-split extensions G=N.Q with N=Dic₃ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₈ = Dic₃.SD₁₆	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	96		Dic3.1D8	192,319
Dic₃.₂D₈ = C₂₄⋊₂Q₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	192		Dic3.2D8	192,433
Dic₃.₃D₈ = S₃×D₁₆	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	48	4+	Dic3.3D8	192,469
Dic₃.₄D₈ = S₃×SD₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	48	4	Dic3.4D8	192,472
Dic₃.₅D₈ = S₃×Q₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₃	96	4-	Dic3.5D8	192,476
Dic₃.₆D₈ = Dic₃.D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96		Dic3.6D8	192,318
Dic₃.₇D₈ = D₁₂⋊₂Q₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96		Dic3.7D8	192,449
Dic₃.₈D₈ = D₈⋊D₆	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	48	4	Dic3.8D8	192,470
Dic₃.₉D₈ = D₄₈⋊C₂	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	48	4+	Dic3.9D8	192,473
Dic₃.₁₀D₈ = SD₃₂⋊S₃	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96	4-	Dic3.10D8	192,474
Dic₃.₁₁D₈ = Q₃₂⋊S₃	φ: D₈/D₄ → C₂ ⊆ Out Dic₃	96	4	Dic3.11D8	192,477
Dic₃.₁₂D₈ = D₁₆⋊₃S₃	φ: trivial image	96	4-	Dic3.12D8	192,471
Dic₃.₁₃D₈ = D₆.₂D₈	φ: trivial image	96	4	Dic3.13D8	192,475
Dic₃.₁₄D₈ = D₄₈⋊₅C₂	φ: trivial image	96	4+	Dic3.14D8	192,478

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