Extensions 1→N→G→Q→1 with N=C₃×D₂₈ and Q=C₂

Direct product G=N×Q with N=C₃×D₂₈ and Q=C₂

		d	ρ	Label	ID
C₆×D₂₈		168		C6xD28	336,176

Semidirect products G=N:Q with N=C₃×D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₈)⋊₁C₂ = C₃⋊D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4+	(C3xD28):1C2	336,30
(C₃×D₂₈)⋊₂C₂ = D₂₈⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4-	(C3xD28):2C2	336,138
(C₃×D₂₈)⋊₃C₂ = S₃×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	84	4+	(C3xD28):3C2	336,149
(C₃×D₂₈)⋊₄C₂ = C₂₁⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28):4C2	336,29
(C₃×D₂₈)⋊₅C₂ = D₂₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28):5C2	336,139
(C₃×D₂₈)⋊₆C₂ = C₂₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	84	4	(C3xD28):6C2	336,150
(C₃×D₂₈)⋊₇C₂ = C₃×D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	2	(C3xD28):7C2	336,61
(C₃×D₂₈)⋊₈C₂ = C₃×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28):8C2	336,69
(C₃×D₂₈)⋊₉C₂ = C₃×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	84	4	(C3xD28):9C2	336,178
(C₃×D₂₈)⋊₁₀C₂ = C₃×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28):10C2	336,181
(C₃×D₂₈)⋊₁₁C₂ = C₃×C₄○D₂₈	φ: trivial image	168	2	(C3xD28):11C2	336,177

Non-split extensions G=N.Q with N=C₃×D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₈).₁C₂ = C₆.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4-	(C3xD28).1C2	336,34
(C₃×D₂₈).₂C₂ = C₂₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28).2C2	336,32
(C₃×D₂₈).₃C₂ = C₃×C₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	2	(C3xD28).3C2	336,60
(C₃×D₂₈).₄C₂ = C₃×Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₈	168	4	(C3xD28).4C2	336,71

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