Extensions 1→N→G→Q→1 with N=C₆xC₁₂ and Q=C₂

Direct product G=NxQ with N=C₆xC₁₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xC₁₂		144		C2xC6xC12	144,178

Semidirect products G=N:Q with N=C₆xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₁₂):₁C₂ = C₃xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12):1C2	144,79
(C₆xC₁₂):₂C₂ = C₆.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):2C2	144,95
(C₆xC₁₂):₃C₂ = C₃²xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):3C2	144,102
(C₆xC₁₂):₄C₂ = C₂xC₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):4C2	144,170
(C₆xC₁₂):₅C₂ = C₁₂.₅₉D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):5C2	144,171
(C₆xC₁₂):₆C₂ = C₃xC₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	24	2	(C6xC12):6C2	144,161
(C₆xC₁₂):₇C₂ = C₆xD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12):7C2	144,160
(C₆xC₁₂):₈C₂ = S₃xC₂xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12):8C2	144,159
(C₆xC₁₂):₉C₂ = C₂xC₄xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):9C2	144,169
(C₆xC₁₂):₁₀C₂ = D₄xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):10C2	144,179
(C₆xC₁₂):₁₁C₂ = C₃²xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):11C2	144,181

Non-split extensions G=N.Q with N=C₆xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₁₂).₁C₂ = C₃xDic₃:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12).1C2	144,77
(C₆xC₁₂).₂C₂ = C₆.Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).2C2	144,93
(C₆xC₁₂).₃C₂ = C₃²xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).3C2	144,103
(C₆xC₁₂).₄C₂ = C₁₂:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).4C2	144,94
(C₆xC₁₂).₅C₂ = C₂xC₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).5C2	144,168
(C₆xC₁₂).₆C₂ = C₁₂.₅₈D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12).6C2	144,91
(C₆xC₁₂).₇C₂ = C₃xC₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	24	2	(C6xC12).7C2	144,75
(C₆xC₁₂).₈C₂ = C₃xC₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12).8C2	144,78
(C₆xC₁₂).₉C₂ = C₆xDic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12).9C2	144,158
(C₆xC₁₂).₁₀C₂ = C₆xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12).10C2	144,74
(C₆xC₁₂).₁₁C₂ = Dic₃xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	48		(C6xC12).11C2	144,76
(C₆xC₁₂).₁₂C₂ = C₂xC₃²:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).12C2	144,90
(C₆xC₁₂).₁₃C₂ = C₄xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).13C2	144,92
(C₆xC₁₂).₁₄C₂ = C₃²xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12).14C2	144,105
(C₆xC₁₂).₁₅C₂ = Q₈xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).15C2	144,180

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