Extensions 1→N→G→Q→1 with N=C₃xC₁₂ and Q=C₄

Direct product G=NxQ with N=C₃xC₁₂ and Q=C₄

		d	ρ	Label	ID
C₁₂²		144		C12^2	144,101

Semidirect products G=N:Q with N=C₃xC₁₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂):₁C₄ = C₄xC₃²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃xC₁₂	24	4	(C3xC12):1C4	144,132
(C₃xC₁₂):₂C₄ = C₄:(C₃²:C₄)	φ: C₄/C₁ → C₄ ⊆ Aut C₃xC₁₂	24	4	(C3xC12):2C4	144,133
(C₃xC₁₂):₃C₄ = C₁₂:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	144		(C3xC12):3C4	144,94
(C₃xC₁₂):₄C₄ = C₃xC₄:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	48		(C3xC12):4C4	144,78
(C₃xC₁₂):₅C₄ = Dic₃xC₁₂	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	48		(C3xC12):5C4	144,76
(C₃xC₁₂):₆C₄ = C₄xC₃:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	144		(C3xC12):6C4	144,92
(C₃xC₁₂):₇C₄ = C₃²xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	144		(C3xC12):7C4	144,103

Non-split extensions G=N.Q with N=C₃xC₁₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂).₁C₄ = C₃²:₂C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₃xC₁₂	48	4	(C3xC12).1C4	144,51
(C₃xC₁₂).₂C₄ = C₃:S₃:₃C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃xC₁₂	24	4	(C3xC12).2C4	144,130
(C₃xC₁₂).₃C₄ = C₃²:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₃xC₁₂	24	4	(C3xC12).3C4	144,131
(C₃xC₁₂).₄C₄ = C₁₂.₅₈D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	72		(C3xC12).4C4	144,91
(C₃xC₁₂).₅C₄ = C₃xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	24	2	(C3xC12).5C4	144,75
(C₃xC₁₂).₆C₄ = C₃xC₃:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	48	2	(C3xC12).6C4	144,28
(C₃xC₁₂).₇C₄ = C₂₄.S₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	144		(C3xC12).7C4	144,29
(C₃xC₁₂).₈C₄ = C₆xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	48		(C3xC12).8C4	144,74
(C₃xC₁₂).₉C₄ = C₂xC₃²:₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	144		(C3xC12).9C4	144,90
(C₃xC₁₂).₁₀C₄ = C₃²xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃xC₁₂	72		(C3xC12).10C4	144,105

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