Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₃×C₆

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆×C₃⋊D₄		72		C3xC6xC3:D4	432,709

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁(C₃×C₆) = S₃×D₄×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊D₄	72		C3:D4:1(C3xC6)	432,704
C₃⋊D₄⋊₂(C₃×C₆) = C₃²×D₄⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊D₄	72		C3:D4:2(C3xC6)	432,705
C₃⋊D₄⋊₃(C₃×C₆) = C₃²×C₄○D₁₂	φ: trivial image	72		C3:D4:3(C3xC6)	432,703

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