Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃₄

Direct product G=NxQ with N=C₂xC₄ and Q=C₃₄

		d	ρ	Label	ID
C₂²xC₆₈		272		C2^2xC68	272,46

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₃₄ = C₂²:C₄xC₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	136		(C2xC4):1C34	272,21
(C₂xC₄):₂C₃₄ = D₄xC₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	136		(C2xC4):2C34	272,47
(C₂xC₄):₃C₃₄ = C₄oD₄xC₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	136	2	(C2xC4):3C34	272,49

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₃₄ = C₄:C₄xC₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	272		(C2xC4).1C34	272,22
(C₂xC₄).₂C₃₄ = M₄(2)xC₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	136	2	(C2xC4).2C34	272,24
(C₂xC₄).₃C₃₄ = Q₈xC₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂xC₄	272		(C2xC4).3C34	272,48

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C34