Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×C₁₄

Direct product G=N×Q with N=D₄ and Q=C₂×C₁₄

		d	ρ	Label	ID
D₄×C₂×C₁₄		112		D4xC2xC14	224,190

Semidirect products G=N:Q with N=D₄ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₁₄) = C₁₄×D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₄	112		D4:1(C2xC14)	224,167
D₄⋊₂(C₂×C₁₄) = C₇×C₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₄	56	4	D4:2(C2xC14)	224,171
D₄⋊₃(C₂×C₁₄) = C₁₄×C₄○D₄	φ: trivial image	112		D4:3(C2xC14)	224,192
D₄⋊₄(C₂×C₁₄) = C₇×2₊¹⁺⁴	φ: trivial image	56	4	D4:4(C2xC14)	224,193

Non-split extensions G=N.Q with N=D₄ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₁₄) = C₁₄×SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₄	112		D4.1(C2xC14)	224,168
D₄.₂(C₂×C₁₄) = C₇×C₄○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₄	112	2	D4.2(C2xC14)	224,170
D₄.₃(C₂×C₁₄) = C₇×C₈.C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₄	112	4	D4.3(C2xC14)	224,172
D₄.₄(C₂×C₁₄) = C₇×2_-¹⁺⁴	φ: trivial image	112	4	D4.4(C2xC14)	224,194

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