Extensions 1→N→G→Q→1 with N=C₂xC₁₂ and Q=C₂

Direct product G=NxQ with N=C₂xC₁₂ and Q=C₂

		d	ρ	Label	ID
C₂²xC₁₂		48		C2^2xC12	48,44

Semidirect products G=N:Q with N=C₂xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂):₁C₂ = D₆:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24		(C2xC12):1C2	48,14
(C₂xC₁₂):₂C₂ = C₃xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24		(C2xC12):2C2	48,21
(C₂xC₁₂):₃C₂ = C₂xD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24		(C2xC12):3C2	48,36
(C₂xC₁₂):₄C₂ = C₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12):4C2	48,37
(C₂xC₁₂):₅C₂ = S₃xC₂xC₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24		(C2xC12):5C2	48,35
(C₂xC₁₂):₆C₂ = C₆xD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24		(C2xC12):6C2	48,45
(C₂xC₁₂):₇C₂ = C₃xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12):7C2	48,47

Non-split extensions G=N.Q with N=C₂xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂).₁C₂ = Dic₃:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).1C2	48,12
(C₂xC₁₂).₂C₂ = C₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).2C2	48,13
(C₂xC₁₂).₃C₂ = C₂xDic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).3C2	48,34
(C₂xC₁₂).₄C₂ = C₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12).4C2	48,10
(C₂xC₁₂).₅C₂ = C₂xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).5C2	48,9
(C₂xC₁₂).₆C₂ = C₄xDic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).6C2	48,11
(C₂xC₁₂).₇C₂ = C₃xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).7C2	48,22
(C₂xC₁₂).₈C₂ = C₃xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12).8C2	48,24
(C₂xC₁₂).₉C₂ = C₆xQ₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).9C2	48,46

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