Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=D₇

Direct product G=N×Q with N=C₃⋊C₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₃⋊C₈		168	4	D7xC3:C8	336,23

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁D₇ = C₃⋊D₅₆	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4+	C3:C8:1D7	336,30
C₃⋊C₈⋊₂D₇ = C₆.D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4-	C3:C8:2D7	336,34
C₃⋊C₈⋊₃D₇ = C₂₁⋊SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4+	C3:C8:3D7	336,35
C₃⋊C₈⋊₄D₇ = C₂₈.₃₂D₆	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4	C3:C8:4D7	336,26
C₃⋊C₈⋊₅D₇ = D₄₂.C₄	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4	C3:C8:5D7	336,28
C₃⋊C₈⋊₆D₇ = D₂₁⋊C₈	φ: trivial image	168	4	C3:C8:6D7	336,25

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.D₇ = C₃⋊Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₃⋊C₈	336	4-	C3:C8.D7	336,39

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