Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×C₆

Direct product G=N×Q with N=D₄ and Q=C₂×C₆

		d	ρ	Label	ID
D₄×C₂×C₆		48		D4xC2xC6	96,221

Semidirect products G=N:Q with N=D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₆) = C₆×D₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₄	48		D4:1(C2xC6)	96,179
D₄⋊₂(C₂×C₆) = C₃×C₈⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₄	24	4	D4:2(C2xC6)	96,183
D₄⋊₃(C₂×C₆) = C₆×C₄○D₄	φ: trivial image	48		D4:3(C2xC6)	96,223
D₄⋊₄(C₂×C₆) = C₃×2₊¹⁺⁴	φ: trivial image	24	4	D4:4(C2xC6)	96,224

Non-split extensions G=N.Q with N=D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₆) = C₆×SD₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₄	48		D4.1(C2xC6)	96,180
D₄.₂(C₂×C₆) = C₃×C₄○D₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₄	48	2	D4.2(C2xC6)	96,182
D₄.₃(C₂×C₆) = C₃×C₈.C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₄	48	4	D4.3(C2xC6)	96,184
D₄.₄(C₂×C₆) = C₃×2_-¹⁺⁴	φ: trivial image	48	4	D4.4(C2xC6)	96,225

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