Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₃×Q₈⋊₂S₃		48	4	C3xQ8:2S3	144,82

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₂S₃) = C₃²⋊₅SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₃	24	4+	C3:1(Q8:2S3)	144,60
C₃⋊₂(Q₈⋊₂S₃) = Dic₆⋊S₃	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(Q8:2S3)	144,58
C₃⋊₃(Q₈⋊₂S₃) = C₃²⋊₁₁SD₁₆	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₃	72		C3:3(Q8:2S3)	144,98

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₂S₃) = Q₈⋊₂D₉	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₃	72	4+	C3.(Q8:2S3)	144,18

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊2S3