Extensions 1→N→G→Q→1 with N=C₃xD₂₈ and Q=C₂

Direct product G=NxQ with N=C₃xD₂₈ and Q=C₂

		d	ρ	Label	ID
C₆xD₂₈		168		C6xD28	336,176

Semidirect products G=N:Q with N=C₃xD₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₂₈):₁C₂ = C₃:D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4+	(C3xD28):1C2	336,30
(C₃xD₂₈):₂C₂ = D₂₈:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4-	(C3xD28):2C2	336,138
(C₃xD₂₈):₃C₂ = S₃xD₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	84	4+	(C3xD28):3C2	336,149
(C₃xD₂₈):₄C₂ = C₂₁:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28):4C2	336,29
(C₃xD₂₈):₅C₂ = D₂₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28):5C2	336,139
(C₃xD₂₈):₆C₂ = C₂₈:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	84	4	(C3xD28):6C2	336,150
(C₃xD₂₈):₇C₂ = C₃xD₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	2	(C3xD28):7C2	336,61
(C₃xD₂₈):₈C₂ = C₃xD₄:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28):8C2	336,69
(C₃xD₂₈):₉C₂ = C₃xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	84	4	(C3xD28):9C2	336,178
(C₃xD₂₈):₁₀C₂ = C₃xQ₈:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28):10C2	336,181
(C₃xD₂₈):₁₁C₂ = C₃xC₄oD₂₈	φ: trivial image	168	2	(C3xD28):11C2	336,177

Non-split extensions G=N.Q with N=C₃xD₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₂₈).₁C₂ = C₆.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4-	(C3xD28).1C2	336,34
(C₃xD₂₈).₂C₂ = C₂₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28).2C2	336,32
(C₃xD₂₈).₃C₂ = C₃xC₅₆:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	2	(C3xD28).3C2	336,60
(C₃xD₂₈).₄C₂ = C₃xQ₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₈	168	4	(C3xD28).4C2	336,71

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