Extensions 1→N→G→Q→1 with N=D₄×C₁₇ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₇ and Q=C₂

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

Semidirect products G=N:Q with N=D₄×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₇)⋊₁C₂ = D₄⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	136	4+	(D4xC17):1C2	272,15
(D₄×C₁₇)⋊₂C₂ = D₄×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	68	4+	(D4xC17):2C2	272,40
(D₄×C₁₇)⋊₃C₂ = D₄⋊₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	136	4-	(D4xC17):3C2	272,41
(D₄×C₁₇)⋊₄C₂ = D₈×C₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	136	2	(D4xC17):4C2	272,25
(D₄×C₁₇)⋊₅C₂ = C₄○D₄×C₁₇	φ: trivial image	136	2	(D4xC17):5C2	272,49

Non-split extensions G=N.Q with N=D₄×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₇).₁C₂ = D₄.D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	136	4-	(D4xC17).1C2	272,16
(D₄×C₁₇).₂C₂ = SD₁₆×C₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₇	136	2	(D4xC17).2C2	272,26

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