Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃₄

Direct product G=N×Q with N=D₄ and Q=C₃₄

		d	ρ	Label	ID
D₄×C₃₄		136		D4xC34	272,47

Semidirect products G=N:Q with N=D₄ and Q=C₃₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₃₄ = D₈×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Out D₄	136	2	D4:C34	272,25
D₄⋊₂C₃₄ = C₄○D₄×C₁₇	φ: trivial image	136	2	D4:2C34	272,49

Non-split extensions G=N.Q with N=D₄ and Q=C₃₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₃₄ = SD₁₆×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Out D₄	136	2	D4.C34	272,26

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Extensions 1→N→G→Q→1 with N=D4 and Q=C34