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

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

		d	ρ	Label	ID
S₃×C₂₄		48	2	S3xC24	144,69

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₈) = C₁₂.₂₉D₆	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₃	24	4	C3:1(S3xC8)	144,53
C₃⋊₂(S₃×C₈) = C₈×C₃⋊S₃	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₃	72		C3:2(S3xC8)	144,85
C₃⋊₃(S₃×C₈) = S₃×C₃⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₃	48	4	C3:3(S3xC8)	144,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₈) = C₈×D₉	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₃	72	2	C3.(S3xC8)	144,5

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