Extensions 1→N→G→Q→1 with N=D₆₈ and Q=C₂

Direct product G=NxQ with N=D₆₈ and Q=C₂

		d	ρ	Label	ID
C₂xD₆₈		136		C2xD68	272,38

Semidirect products G=N:Q with N=D₆₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₈:₁C₂ = D₁₃₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	136	2+	D68:1C2	272,7
D₆₈:₂C₂ = D₄:D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	136	4+	D68:2C2	272,15
D₆₈:₃C₂ = D₄xD₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	68	4+	D68:3C2	272,40
D₆₈:₄C₂ = D₆₈:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	136	4+	D68:4C2	272,43
D₆₈:₅C₂ = D₆₈:₅C₂	φ: trivial image	136	2	D68:5C2	272,39

Non-split extensions G=N.Q with N=D₆₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₈.₁C₂ = C₁₃₆:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	136	2	D68.1C2	272,6
D₆₈.₂C₂ = Q₈:D₁₇	φ: C₂/C₁ → C₂ ⊆ Out D₆₈	136	4+	D68.2C2	272,17

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