Extensions 1→N→G→Q→1 with N=C₂xC₃₄ and Q=C₄

Direct product G=NxQ with N=C₂xC₃₄ and Q=C₄

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

Semidirect products G=N:Q with N=C₂xC₃₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₃₄):₁C₄ = D₁₇.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₃₄	68	4+	(C2xC34):1C4	272,35
(C₂xC₃₄):₂C₄ = C₂²xC₁₇:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₃₄	68		(C2xC34):2C4	272,52
(C₂xC₃₄):₃C₄ = C₂²:C₄xC₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	136		(C2xC34):3C4	272,21
(C₂xC₃₄):₄C₄ = C₂³.D₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	136		(C2xC34):4C4	272,19
(C₂xC₃₄):₅C₄ = C₂²xDic₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	272		(C2xC34):5C4	272,44

Non-split extensions G=N.Q with N=C₂xC₃₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₃₄).₁C₄ = C₂xC₁₇:₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₃₄	272		(C2xC34).1C4	272,33
(C₂xC₃₄).₂C₄ = C₁₇:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₃₄	136	4-	(C2xC34).2C4	272,34
(C₂xC₃₄).₃C₄ = M₄(2)xC₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	136	2	(C2xC34).3C4	272,24
(C₂xC₃₄).₄C₄ = C₂xC₁₇:₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	272		(C2xC34).4C4	272,9
(C₂xC₃₄).₅C₄ = C₆₈.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₃₄	136	2	(C2xC34).5C4	272,10

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