Extensions 1→N→G→Q→1 with N=He₃ and Q=Dic₃

Direct product G=N×Q with N=He₃ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×He₃		36	6	Dic3xHe3	324,93

Semidirect products G=N:Q with N=He₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁Dic₃ = C₃³⋊C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	36	6-	He3:1Dic3	324,14
He₃⋊₂Dic₃ = C₃³⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	36	6-	He3:2Dic3	324,22
He₃⋊₃Dic₃ = He₃⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	108	6-	He3:3Dic3	324,24
He₃⋊₄Dic₃ = He₃⋊₄Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out He₃	18	6	He3:4Dic3	324,113
He₃⋊₅Dic₃ = C₃³⋊₄C₁₂	φ: Dic₃/C₆ → C₂ ⊆ Out He₃	108		He3:5Dic3	324,98
He₃⋊₆Dic₃ = He₃⋊₆Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out He₃	36	6	He3:6Dic3	324,104

Non-split extensions G=N.Q with N=He₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.₁Dic₃ = He₃.Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	108	6-	He3.1Dic3	324,16
He₃.₂Dic₃ = He₃.₂Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	108	6-	He3.2Dic3	324,18
He₃.₃Dic₃ = He₃.₃Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out He₃	108	6-	He3.3Dic3	324,23
He₃.₄Dic₃ = He₃.₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out He₃	108	6-	He3.4Dic3	324,101

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