Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃⋊C₄

Direct product G=N×Q with N=C₃ and Q=Dic₃⋊C₄

		d	ρ	Label	ID
C₃×Dic₃⋊C₄		48		C3xDic3:C4	144,77

Semidirect products G=N:Q with N=C₃ and Q=Dic₃⋊C₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(Dic₃⋊C₄) = Dic₃⋊Dic₃	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₃	48	C3:1(Dic3:C4)	144,66
C₃⋊₂(Dic₃⋊C₄) = C₆².C₂²	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₃	48	C3:2(Dic3:C4)	144,67
C₃⋊₃(Dic₃⋊C₄) = C₆.Dic₆	φ: Dic₃⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	144	C3:3(Dic3:C4)	144,93

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃⋊C₄) = Dic₉⋊C₄	φ: Dic₃⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(Dic3:C4)	144,12

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Extensions 1→N→G→Q→1 with N=C3 and Q=Dic3⋊C4