Extensions 1→N→G→Q→1 with N=C₂²xC₃₄ and Q=C₂

Direct product G=NxQ with N=C₂²xC₃₄ and Q=C₂

		d	ρ	Label	ID
C₂³xC₃₄		272		C2^3xC34	272,54

Semidirect products G=N:Q with N=C₂²xC₃₄ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₃₄):₁C₂ = D₄xC₃₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	136	(C2^2xC34):1C2	272,47
(C₂²xC₃₄):₂C₂ = C₂xC₁₇:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	136	(C2^2xC34):2C2	272,45
(C₂²xC₃₄):₃C₂ = C₂³xD₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	136	(C2^2xC34):3C2	272,53

Non-split extensions G=N.Q with N=C₂²xC₃₄ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₃₄).₁C₂ = C₂²:C₄xC₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	136	(C2^2xC34).1C2	272,21
(C₂²xC₃₄).₂C₂ = C₂³.D₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	136	(C2^2xC34).2C2	272,19
(C₂²xC₃₄).₃C₂ = C₂²xDic₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₃₄	272	(C2^2xC34).3C2	272,44

Extensions 1→N→G→Q→1 with N=C22xC34 and Q=C2