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

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

		d	ρ	Label	ID
C₃²×Dic₃⋊C₄		144		C3^2xDic3:C4	432,472

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×Dic₃⋊C₄) = C₃×Dic₃⋊Dic₃	φ: C₃×Dic₃⋊C₄/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C3xDic3:C4)	432,428
C₃⋊₂(C₃×Dic₃⋊C₄) = C₃×C₆².C₂²	φ: C₃×Dic₃⋊C₄/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C3xDic3:C4)	432,429
C₃⋊₃(C₃×Dic₃⋊C₄) = C₃×C₆.Dic₆	φ: C₃×Dic₃⋊C₄/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C3xDic3:C4)	432,488

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×Dic₃⋊C₄) = C₃×Dic₉⋊C₄	φ: C₃×Dic₃⋊C₄/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C3xDic3:C4)	432,129
C₃.₂(C₃×Dic₃⋊C₄) = C₆².₁₉D₆	φ: C₃×Dic₃⋊C₄/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.2(C3xDic3:C4)	432,139
C₃.₃(C₃×Dic₃⋊C₄) = Dic₉⋊C₁₂	φ: C₃×Dic₃⋊C₄/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.3(C3xDic3:C4)	432,145
C₃.₄(C₃×Dic₃⋊C₄) = C₉×Dic₃⋊C₄	central extension (φ=1)	144		C3.4(C3xDic3:C4)	432,132

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