Extensions 1→N→G→Q→1 with N=C₂xC₃₆ and Q=C₂

Direct product G=NxQ with N=C₂xC₃₆ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃₆		144		C2^2xC36	144,47

Semidirect products G=N:Q with N=C₂xC₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₃₆):₁C₂ = D₁₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72		(C2xC36):1C2	144,14
(C₂xC₃₆):₂C₂ = C₉xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72		(C2xC36):2C2	144,21
(C₂xC₃₆):₃C₂ = C₂xD₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72		(C2xC36):3C2	144,39
(C₂xC₃₆):₄C₂ = D₃₆:₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72	2	(C2xC36):4C2	144,40
(C₂xC₃₆):₅C₂ = C₂xC₄xD₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72		(C2xC36):5C2	144,38
(C₂xC₃₆):₆C₂ = D₄xC₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72		(C2xC36):6C2	144,48
(C₂xC₃₆):₇C₂ = C₉xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72	2	(C2xC36):7C2	144,50

Non-split extensions G=N.Q with N=C₂xC₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₃₆).₁C₂ = Dic₉:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).1C2	144,12
(C₂xC₃₆).₂C₂ = C₄:Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).2C2	144,13
(C₂xC₃₆).₃C₂ = C₂xDic₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).3C2	144,37
(C₂xC₃₆).₄C₂ = C₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72	2	(C2xC36).4C2	144,10
(C₂xC₃₆).₅C₂ = C₂xC₉:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).5C2	144,9
(C₂xC₃₆).₆C₂ = C₄xDic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).6C2	144,11
(C₂xC₃₆).₇C₂ = C₉xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).7C2	144,22
(C₂xC₃₆).₈C₂ = C₉xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	72	2	(C2xC36).8C2	144,24
(C₂xC₃₆).₉C₂ = Q₈xC₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₃₆	144		(C2xC36).9C2	144,49

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