Extensions 1→N→G→Q→1 with N=Dic₉ and Q=C₁₂

Direct product G=N×Q with N=Dic₉ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×Dic₉		144		C12xDic9	432,128

Semidirect products G=N:Q with N=Dic₉ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊C₁₂ = Dic₉⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out Dic₉	144		Dic9:C12	432,145
Dic₉⋊₂C₁₂ = C₄×C₉⋊C₁₂	φ: C₁₂/C₄ → C₃ ⊆ Out Dic₉	144		Dic9:2C12	432,144
Dic₉⋊₃C₁₂ = C₃×Dic₉⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₉	144		Dic9:3C12	432,129

Non-split extensions G=N.Q with N=Dic₉ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.C₁₂ = C₇₂⋊C₆	φ: C₁₂/C₂ → C₆ ⊆ Out Dic₉	72	6	Dic9.C12	432,121
Dic₉.₂C₁₂ = C₈×C₉⋊C₆	φ: C₁₂/C₄ → C₃ ⊆ Out Dic₉	72	6	Dic9.2C12	432,120
Dic₉.₃C₁₂ = C₃×C₈⋊D₉	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₉	144	2	Dic9.3C12	432,106
Dic₉.₄C₁₂ = D₉×C₂₄	φ: trivial image	144	2	Dic9.4C12	432,105

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