Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂³

Direct product G=N×Q with N=D₄ and Q=C₂³

		d	ρ	Label	ID
D₄×C₂³		32		D4xC2^3	64,261

Semidirect products G=N:Q with N=D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₂³ = C₂²×D₈	φ: C₂³/C₂² → C₂ ⊆ Out D₄	32		D4:1C2^3	64,250
D₄⋊₂C₂³ = C₂×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₄	16		D4:2C2^3	64,254
D₄⋊₃C₂³ = C₂²×C₄○D₄	φ: trivial image	32		D4:3C2^3	64,263
D₄⋊₄C₂³ = C₂×2₊¹⁺⁴	φ: trivial image	16		D4:4C2^3	64,264

Non-split extensions G=N.Q with N=D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁C₂³ = C₂²×SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₄	32		D4.1C2^3	64,251
D₄.₂C₂³ = C₂×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out D₄	32		D4.2C2^3	64,253
D₄.₃C₂³ = C₂×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₄	32		D4.3C2^3	64,255
D₄.₄C₂³ = D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₄	16	4	D4.4C2^3	64,256
D₄.₅C₂³ = D₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out D₄	16	4+	D4.5C2^3	64,257
D₄.₆C₂³ = D₄○SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₄	16	4	D4.6C2^3	64,258
D₄.₇C₂³ = Q₈○D₈	φ: C₂³/C₂² → C₂ ⊆ Out D₄	32	4-	D4.7C2^3	64,259
D₄.₈C₂³ = C₂×2_-¹⁺⁴	φ: trivial image	32		D4.8C2^3	64,265
D₄.₉C₂³ = C₂.C₂⁵	φ: trivial image	16	4	D4.9C2^3	64,266

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