Extensions 1→N→G→Q→1 with N=Dic₁₈ and Q=C₄

Direct product G=N×Q with N=Dic₁₈ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₁₈		288		C4xDic18	288,78

Semidirect products G=N:Q with N=Dic₁₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈⋊₁C₄ = C₄²⋊₄D₉	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	72	2	Dic18:1C4	288,12
Dic₁₈⋊₂C₄ = C₃₆.₄₅D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	288		Dic18:2C4	288,24
Dic₁₈⋊₃C₄ = C₁₈.Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	288		Dic18:3C4	288,16
Dic₁₈⋊₄C₄ = Dic₁₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	72	4	Dic18:4C4	288,32
Dic₁₈⋊₅C₄ = Dic₉⋊₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	288		Dic18:5C4	288,97

Non-split extensions G=N.Q with N=Dic₁₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈.C₄ = D₃₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₈	144	4	Dic18.C4	288,117
Dic₁₈.₂C₄ = D₃₆.₂C₄	φ: trivial image	144	2	Dic18.2C4	288,112

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