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

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

		d	ρ	Label	ID
C₁₂×C₃⋊Dic₃		144		C12xC3:Dic3	432,487

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×C₃⋊Dic₃) = Dic₃×C₃⋊Dic₃	φ: C₄×C₃⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144		C3:1(C4xC3:Dic3)	432,448
C₃⋊₂(C₄×C₃⋊Dic₃) = C₄×C₃³⋊₅C₄	φ: C₄×C₃⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3:2(C4xC3:Dic3)	432,503

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₃⋊Dic₃) = C₄×C₉⋊Dic₃	φ: C₄×C₃⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3.(C4xC3:Dic3)	432,180
C₃.₂(C₄×C₃⋊Dic₃) = C₄×He₃⋊₃C₄	central stem extension (φ=1)	144		C3.2(C4xC3:Dic3)	432,186

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