Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊Dic₃

		d	ρ	Label	ID
C₃×C₁₂⋊Dic₃		144		C3xC12:Dic3	432,489

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊Dic₃) = C₆².₈₀D₆	φ: C₁₂⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144		C3:1(C12:Dic3)	432,452
C₃⋊₂(C₁₂⋊Dic₃) = C₆².₁₄₇D₆	φ: C₁₂⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3:2(C12:Dic3)	432,505

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊Dic₃) = C₃₆⋊Dic₃	φ: C₁₂⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3.(C12:Dic3)	432,182
C₃.₂(C₁₂⋊Dic₃) = C₆².₃₀D₆	central stem extension (φ=1)	144		C3.2(C12:Dic3)	432,188

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12⋊Dic3