Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₁₈

Direct product G=N×Q with N=C₂² and Q=Dic₁₈

		d	ρ	Label	ID
C₂²×Dic₁₈		288		C2^2xDic18	288,352

Semidirect products G=N:Q with N=C₂² and Q=Dic₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₁₈ = C₁₂.₁S₄	φ: Dic₁₈/C₁₂ → S₃ ⊆ Aut C₂²	72	6-	C2^2:Dic18	288,332
C₂²⋊₂Dic₁₈ = C₂²⋊₂Dic₁₈	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₂²	144		C2^2:2Dic18	288,88
C₂²⋊₃Dic₁₈ = C₃₆.₄₉D₄	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:3Dic18	288,134

Non-split extensions G=N.Q with N=C₂² and Q=Dic₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₁₈ = C₃₆.₅₃D₄	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₂²	144	4	C2^2.1Dic18	288,29
C₂².₂Dic₁₈ = C₇₂.C₄	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.2Dic18	288,20
C₂².₃Dic₁₈ = C₁₈.C₄²	central extension (φ=1)	288		C2^2.3Dic18	288,38
C₂².₄Dic₁₈ = C₂×Dic₉⋊C₄	central extension (φ=1)	288		C2^2.4Dic18	288,133
C₂².₅Dic₁₈ = C₂×C₄⋊Dic₉	central extension (φ=1)	288		C2^2.5Dic18	288,135

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