Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=C₆

Direct product G=N×Q with N=C₇⋊C₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₇⋊C₈		336		C6xC7:C8	336,63

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁C₆ = D₄⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	56	12+	C7:C8:1C6	336,18
C₇⋊C₈⋊₂C₆ = D₄.F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	56	12-	C7:C8:2C6	336,19
C₇⋊C₈⋊₃C₆ = Q₈⋊₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	56	12+	C7:C8:3C6	336,20
C₇⋊C₈⋊₄C₆ = C₈⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	56	6	C7:C8:4C6	336,8
C₇⋊C₈⋊₅C₆ = C₂₈.C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	56	6	C7:C8:5C6	336,13
C₇⋊C₈⋊₆C₆ = C₈×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₇⋊C₈	56	6	C7:C8:6C6	336,7
C₇⋊C₈⋊₇C₆ = C₂×C₇⋊C₂₄	φ: C₆/C₂ → C₃ ⊆ Out C₇⋊C₈	112		C7:C8:7C6	336,12
C₇⋊C₈⋊₈C₆ = C₃×D₄⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4	C7:C8:8C6	336,69
C₇⋊C₈⋊₉C₆ = C₃×D₄.D₇	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4	C7:C8:9C6	336,70
C₇⋊C₈⋊₁₀C₆ = C₃×Q₈⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4	C7:C8:10C6	336,71
C₇⋊C₈⋊₁₁C₆ = C₃×C₈⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	168	2	C7:C8:11C6	336,59
C₇⋊C₈⋊₁₂C₆ = C₃×C₄.Dic₇	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	168	2	C7:C8:12C6	336,64
C₇⋊C₈⋊₁₃C₆ = D₇×C₂₄	φ: trivial image	168	2	C7:C8:13C6	336,58

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.C₆ = Q₈.₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇⋊C₈	112	12-	C7:C8.C6	336,21
C₇⋊C₈.₂C₆ = C₃×C₇⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₇⋊C₈	336	4	C7:C8.2C6	336,72

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