Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₃⋊Dic₃		72		C2xC3:Dic3	72,34

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁C₂ = S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	24	4-	C3:Dic3:1C2	72,20
C₃⋊Dic₃⋊₂C₂ = D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	24	4-	C3:Dic3:2C2	72,22
C₃⋊Dic₃⋊₃C₂ = C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	36		C3:Dic3:3C2	72,35
C₃⋊Dic₃⋊₄C₂ = C₄×C₃⋊S₃	φ: trivial image	36		C3:Dic3:4C2	72,32

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁C₂ = C₃²⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	24	4-	C3:Dic3.1C2	72,19
C₃⋊Dic₃.₂C₂ = C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	24	4-	C3:Dic3.2C2	72,24
C₃⋊Dic₃.₃C₂ = C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.3C2	72,31

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