Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₆

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₆

		d	ρ	Label	ID
C₆×C₃⋊Dic₃		72		C6xC3:Dic3	216,143

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊C₆ = He₃⋊₆D₄	φ: C₆/C₁ → C₆ ⊆ Out C₃⋊Dic₃	36	6	C3:Dic3:C6	216,60
C₃⋊Dic₃⋊₂C₆ = C₄×C₃²⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₃⋊Dic₃	36	6	C3:Dic3:2C6	216,50
C₃⋊Dic₃⋊₃C₆ = C₂×C₃²⋊C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₃⋊Dic₃	72		C3:Dic3:3C6	216,59
C₃⋊Dic₃⋊₄C₆ = C₃×S₃×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:4C6	216,119
C₃⋊Dic₃⋊₅C₆ = C₃×D₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:5C6	216,121
C₃⋊Dic₃⋊₆C₆ = C₃×C₃²⋊₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	36		C3:Dic3:6C6	216,144
C₃⋊Dic₃⋊₇C₆ = C₁₂×C₃⋊S₃	φ: trivial image	72		C3:Dic3:7C6	216,141

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.C₆ = He₃⋊₃Q₈	φ: C₆/C₁ → C₆ ⊆ Out C₃⋊Dic₃	72	6-	C3:Dic3.C6	216,49
C₃⋊Dic₃.₂C₆ = C₃×C₃²⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.2C6	216,117
C₃⋊Dic₃.₃C₆ = C₃×C₃²⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.3C6	216,123
C₃⋊Dic₃.₄C₆ = C₃×C₃²⋊₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.4C6	216,140

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