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

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

		d	ρ	Label	ID
C₃×C₃⋊S₃.Q₈		48	4	C3xC3:S3.Q8	432,575

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃⋊S₃.Q₈) = C₃³⋊C₄⋊C₄	φ: C₃⋊S₃.Q₈/C₆.D₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C3:S3.Q8)	432,581
C₃⋊₂(C₃⋊S₃.Q₈) = (C₃×C₆).₉D₁₂	φ: C₃⋊S₃.Q₈/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(C3:S3.Q8)	432,587

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊S₃.Q₈) = C₆.S₃≀C₂	φ: C₃⋊S₃.Q₈/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	72	6-	C3.(C3:S3.Q8)	432,237

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