Extensions 1→N→G→Q→1 with N=D₃₄ and Q=C₄

Direct product G=N×Q with N=D₃₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₁₇		136		C2xC4xD17	272,37

Semidirect products G=N:Q with N=D₃₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄⋊₁C₄ = D₃₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	136		D34:1C4	272,14
D₃₄⋊₂C₄ = D₁₇.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	68	4+	D34:2C4	272,35
D₃₄⋊₃C₄ = C₂²×C₁₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	68		D34:3C4	272,52

Non-split extensions G=N.Q with N=D₃₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄.C₄ = C₂×C₁₇⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out D₃₄	34	8+	D34.C4	272,51
D₃₄.₂C₄ = C₈⋊D₁₇	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	136	2	D34.2C4	272,5
D₃₄.₃C₄ = C₆₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	136	4	D34.3C4	272,29
D₃₄.₄C₄ = D₃₄.₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₄	136	4	D34.4C4	272,30
D₃₄.₅C₄ = C₈×D₁₇	φ: trivial image	136	2	D34.5C4	272,4

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