Extensions 1→N→G→Q→1 with N=Dic₃₄ and Q=C₂

Direct product G=N×Q with N=Dic₃₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃₄		272		C2xDic34	272,36

Semidirect products G=N:Q with N=Dic₃₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₄⋊₁C₂ = C₁₃₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	136	2	Dic34:1C2	272,6
Dic₃₄⋊₂C₂ = D₄.D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	136	4-	Dic34:2C2	272,16
Dic₃₄⋊₃C₂ = D₄⋊₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	136	4-	Dic34:3C2	272,41
Dic₃₄⋊₄C₂ = Q₈×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	136	4-	Dic34:4C2	272,42
Dic₃₄⋊₅C₂ = D₆₈⋊₅C₂	φ: trivial image	136	2	Dic34:5C2	272,39

Non-split extensions G=N.Q with N=Dic₃₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₄.₁C₂ = Dic₆₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	272	2-	Dic34.1C2	272,8
Dic₃₄.₂C₂ = C₁₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₄	272	4-	Dic34.2C2	272,18

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