Extensions 1→N→G→Q→1 with N=C₆₈ and Q=C₂

Direct product G=N×Q with N=C₆₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₈		136		C2xC68	136,9

Semidirect products G=N:Q with N=C₆₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₈⋊₁C₂ = D₆₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	68	2+	C68:1C2	136,6
C₆₈⋊₂C₂ = C₄×D₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	68	2	C68:2C2	136,5
C₆₈⋊₃C₂ = D₄×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	68	2	C68:3C2	136,10

Non-split extensions G=N.Q with N=C₆₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₈.₁C₂ = Dic₃₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	136	2-	C68.1C2	136,4
C₆₈.₂C₂ = C₁₇⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	136	2	C68.2C2	136,1
C₆₈.₃C₂ = Q₈×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₆₈	136	2	C68.3C2	136,11

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Extensions 1→N→G→Q→1 with N=C68 and Q=C2