Extensions 1→N→G→Q→1 with N=C₂xC₃:Dic₃ and Q=C₂

Direct product G=NxQ with N=C₂xC₃:Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃:Dic₃		144		C2^2xC3:Dic3	144,176

Semidirect products G=N:Q with N=C₂xC₃:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:Dic₃):₁C₂ = D₆:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):1C2	144,64
(C₂xC₃:Dic₃):₂C₂ = C₆.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):2C2	144,95
(C₂xC₃:Dic₃):₃C₂ = C₆²:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):3C2	144,100
(C₂xC₃:Dic₃):₄C₂ = C₂xS₃xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):4C2	144,146
(C₂xC₃:Dic₃):₅C₂ = D₆.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	24	4-	(C2xC3:Dic3):5C2	144,148
(C₂xC₃:Dic₃):₆C₂ = C₂xD₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):6C2	144,150
(C₂xC₃:Dic₃):₇C₂ = C₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):7C2	144,173
(C₂xC₃:Dic₃):₈C₂ = C₂xC₃²:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):8C2	144,177
(C₂xC₃:Dic₃):₉C₂ = C₂xC₄xC₃:S₃	φ: trivial image	72		(C2xC3:Dic3):9C2	144,169

Non-split extensions G=N.Q with N=C₂xC₃:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:Dic₃).₁C₂ = Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).1C2	144,63
(C₂xC₃:Dic₃).₂C₂ = Dic₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).2C2	144,66
(C₂xC₃:Dic₃).₃C₂ = C₆².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).3C2	144,67
(C₂xC₃:Dic₃).₄C₂ = C₆.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).4C2	144,93
(C₂xC₃:Dic₃).₅C₂ = C₁₂:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).5C2	144,94
(C₂xC₃:Dic₃).₆C₂ = C₂xC₃²:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).6C2	144,134
(C₂xC₃:Dic₃).₇C₂ = C₆².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	24	4-	(C2xC3:Dic3).7C2	144,135
(C₂xC₃:Dic₃).₈C₂ = C₂xC₃²:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).8C2	144,152
(C₂xC₃:Dic₃).₉C₂ = C₂xC₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).9C2	144,168
(C₂xC₃:Dic₃).₁₀C₂ = C₄xC₃:Dic₃	φ: trivial image	144		(C2xC3:Dic3).10C2	144,92

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