Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=S₃

Direct product G=N×Q with N=C₃⋊C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃⋊C₈		48	4	S3xC3:C8	144,52

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁S₃ = C₃⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	24	4+	C3:C8:1S3	144,57
C₃⋊C₈⋊₂S₃ = D₁₂.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	48	4-	C3:C8:2S3	144,59
C₃⋊C₈⋊₃S₃ = C₃²⋊₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	24	4+	C3:C8:3S3	144,60
C₃⋊C₈⋊₄S₃ = D₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8:4S3	144,54
C₃⋊C₈⋊₅S₃ = C₁₂.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	24	4	C3:C8:5S3	144,55
C₃⋊C₈⋊₆S₃ = C₁₂.₂₉D₆	φ: trivial image	24	4	C3:C8:6S3	144,53

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.S₃ = C₃²⋊₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₈	48	4-	C3:C8.S3	144,62

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