Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=S₃

Direct product G=N×Q with N=C₇⋊C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₇⋊C₈		168	4	S3xC7:C8	336,24

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁S₃ = C₇⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4+	C7:C8:1S3	336,31
C₇⋊C₈⋊₂S₃ = D₁₂.D₇	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4-	C7:C8:2S3	336,36
C₇⋊C₈⋊₃S₃ = Dic₆⋊D₇	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4+	C7:C8:3S3	336,37
C₇⋊C₈⋊₄S₃ = D₆.Dic₇	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4	C7:C8:4S3	336,27
C₇⋊C₈⋊₅S₃ = D₄₂.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	168	4	C7:C8:5S3	336,28
C₇⋊C₈⋊₆S₃ = D₂₁⋊C₈	φ: trivial image	168	4	C7:C8:6S3	336,25

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.S₃ = C₇⋊Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₇⋊C₈	336	4-	C7:C8.S3	336,40

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