Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=Q₈

Direct product G=N×Q with N=C₃⋊S₃ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃⋊S₃		72		Q8xC3:S3	144,174

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊Q₈ = C₂×PSU₃(𝔽₂)	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊S₃	18	8+	C3:S3:Q8	144,187
C₃⋊S₃⋊₂Q₈ = Dic₃.D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:2Q8	144,140

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.Q₈ = C₃⋊S₃.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₃⋊S₃	24	4	C3:S3.Q8	144,116
C₃⋊S₃.₂Q₈ = C₄⋊(C₃²⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3.2Q8	144,133

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=Q8