Extensions 1→N→G→Q→1 with N=C₂xC₁₂₄ and Q=C₂

Direct product G=NxQ with N=C₂xC₁₂₄ and Q=C₂

		d	ρ	Label	ID
C₂²xC₁₂₄		496		C2^2xC124	496,37

Semidirect products G=N:Q with N=C₂xC₁₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂₄):₁C₂ = D₆₂:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248		(C2xC124):1C2	496,13
(C₂xC₁₂₄):₂C₂ = C₂²:C₄xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248		(C2xC124):2C2	496,20
(C₂xC₁₂₄):₃C₂ = C₂xD₁₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248		(C2xC124):3C2	496,29
(C₂xC₁₂₄):₄C₂ = D₁₂₄:₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248	2	(C2xC124):4C2	496,30
(C₂xC₁₂₄):₅C₂ = C₂xC₄xD₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248		(C2xC124):5C2	496,28
(C₂xC₁₂₄):₆C₂ = D₄xC₆₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248		(C2xC124):6C2	496,38
(C₂xC₁₂₄):₇C₂ = C₄oD₄xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248	2	(C2xC124):7C2	496,40

Non-split extensions G=N.Q with N=C₂xC₁₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂₄).₁C₂ = Dic₃₁:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).1C2	496,11
(C₂xC₁₂₄).₂C₂ = C₄:C₄xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).2C2	496,21
(C₂xC₁₂₄).₃C₂ = C₄:Dic₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).3C2	496,12
(C₂xC₁₂₄).₄C₂ = C₂xDic₆₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).4C2	496,27
(C₂xC₁₂₄).₅C₂ = C₄.Dic₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248	2	(C2xC124).5C2	496,9
(C₂xC₁₂₄).₆C₂ = C₂xC₃₁:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).6C2	496,8
(C₂xC₁₂₄).₇C₂ = C₄xDic₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).7C2	496,10
(C₂xC₁₂₄).₈C₂ = M₄(2)xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	248	2	(C2xC124).8C2	496,23
(C₂xC₁₂₄).₉C₂ = Q₈xC₆₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂₄	496		(C2xC124).9C2	496,39

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