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

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

		d	ρ	Label	ID
C₂×D₆₈		136		C2xD68	272,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁D₆₈ = C₆₈⋊₃C₄	central extension (φ=1)	272		C2.1D68	272,13
C₂.₂D₆₈ = D₃₄⋊C₄	central extension (φ=1)	136		C2.2D68	272,14
C₂.₃D₆₈ = C₁₃₆⋊C₂	central stem extension (φ=1)	136	2	C2.3D68	272,6
C₂.₄D₆₈ = D₁₃₆	central stem extension (φ=1)	136	2+	C2.4D68	272,7
C₂.₅D₆₈ = Dic₆₈	central stem extension (φ=1)	272	2-	C2.5D68	272,8

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