Extensions 1→N→G→Q→1 with N=D₂₈ and Q=C₆

Direct product G=N×Q with N=D₂₈ and Q=C₆

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

Semidirect products G=N:Q with N=D₂₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈⋊₁C₆ = D₄⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	56	12+	D28:1C6	336,18
D₂₈⋊₂C₆ = D₄×F₇	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	28	12+	D28:2C6	336,125
D₂₈⋊₃C₆ = Q₈⋊₃F₇	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	56	12+	D28:3C6	336,128
D₂₈⋊₄C₆ = D₅₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	56	6+	D28:4C6	336,10
D₂₈⋊₅C₆ = C₂×C₄⋊F₇	φ: C₆/C₂ → C₃ ⊆ Out D₂₈	56		D28:5C6	336,123
D₂₈⋊₆C₆ = D₂₈⋊₆C₆	φ: C₆/C₂ → C₃ ⊆ Out D₂₈	56	6	D28:6C6	336,124
D₂₈⋊₇C₆ = C₃×D₅₆	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	168	2	D28:7C6	336,61
D₂₈⋊₈C₆ = C₃×D₄⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	168	4	D28:8C6	336,69
D₂₈⋊₉C₆ = C₃×D₄×D₇	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	84	4	D28:9C6	336,178
D₂₈⋊₁₀C₆ = C₃×Q₈⋊₂D₇	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	168	4	D28:10C6	336,181
D₂₈⋊₁₁C₆ = C₃×C₄○D₂₈	φ: trivial image	168	2	D28:11C6	336,177

Non-split extensions G=N.Q with N=D₂₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈.₁C₆ = Q₈⋊₂F₇	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	56	12+	D28.1C6	336,20
D₂₈.₂C₆ = C₅₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₂₈	56	6	D28.2C6	336,9
D₂₈.₃C₆ = C₃×C₅₆⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	168	2	D28.3C6	336,60
D₂₈.₄C₆ = C₃×Q₈⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out D₂₈	168	4	D28.4C6	336,71

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