Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃⋊D₆

Direct product G=N×Q with N=C₃ and Q=Dic₃⋊D₆

		d	ρ	Label	ID
C₃×Dic₃⋊D₆		24	4	C3xDic3:D6	432,659

Semidirect products G=N:Q with N=C₃ and Q=Dic₃⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃⋊D₆) = C₃⋊S₃⋊₄D₁₂	φ: Dic₃⋊D₆/C₆.D₆ → C₂ ⊆ Aut C₃	24	8+	C3:1(Dic3:D6)	432,602
C₃⋊₂(Dic₃⋊D₆) = (S₃×C₆)⋊D₆	φ: Dic₃⋊D₆/C₃⋊D₁₂ → C₂ ⊆ Aut C₃	24	8+	C3:2(Dic3:D6)	432,601
C₃⋊₃(Dic₃⋊D₆) = C₆²⋊₂₃D₆	φ: Dic₃⋊D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	36		C3:3(Dic3:D6)	432,686
C₃⋊₄(Dic₃⋊D₆) = D₆⋊₄S₃²	φ: Dic₃⋊D₆/C₂×S₃² → C₂ ⊆ Aut C₃	24	8+	C3:4(Dic3:D6)	432,599
C₃⋊₅(Dic₃⋊D₆) = C₆²⋊₂₄D₆	φ: Dic₃⋊D₆/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:5(Dic3:D6)	432,696

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃⋊D₆) = D₁₈⋊D₆	φ: Dic₃⋊D₆/C₃×C₃⋊D₄ → C₂ ⊆ Aut C₃	36	4+	C3.1(Dic3:D6)	432,315
C₃.₂(Dic₃⋊D₆) = C₆²⋊₂D₆	φ: Dic₃⋊D₆/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	6	C3.2(Dic3:D6)	432,324

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