Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₈

Direct product G=N×Q with N=D₄ and Q=D₁₈

		d	ρ	Label	ID
C₂×D₄×D₉		72		C2xD4xD9	288,356

Semidirect products G=N:Q with N=D₄ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₁₈ = D₈×D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	72	4+	D4:1D18	288,120
D₄⋊₂D₁₈ = D₈⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	72	4	D4:2D18	288,121
D₄⋊₃D₁₈ = C₂×D₄⋊D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	144		D4:3D18	288,142
D₄⋊₄D₁₈ = D₄⋊D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	72	4+	D4:4D18	288,160
D₄⋊₅D₁₈ = C₂×D₄⋊₂D₉	φ: trivial image	144		D4:5D18	288,357
D₄⋊₆D₁₈ = D₄⋊₆D₁₈	φ: trivial image	72	4	D4:6D18	288,358
D₄⋊₇D₁₈ = C₄○D₄×D₉	φ: trivial image	72	4	D4:7D18	288,362
D₄⋊₈D₁₈ = D₄⋊₈D₁₈	φ: trivial image	72	4+	D4:8D18	288,363

Non-split extensions G=N.Q with N=D₄ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₁₈ = D₈⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	144	4-	D4.1D18	288,122
D₄.₂D₁₈ = SD₁₆×D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	72	4	D4.2D18	288,123
D₄.₃D₁₈ = D₇₂⋊C₂	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	72	4+	D4.3D18	288,124
D₄.₄D₁₈ = SD₁₆⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	144	4-	D4.4D18	288,125
D₄.₅D₁₈ = SD₁₆⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₄	144	4	D4.5D18	288,126
D₄.₆D₁₈ = C₂×D₄.D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	144		D4.6D18	288,141
D₄.₇D₁₈ = D₃₆⋊₆C₂²	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	72	4	D4.7D18	288,143
D₄.₈D₁₈ = D₄.D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	144	4-	D4.8D18	288,159
D₄.₉D₁₈ = D₄.₉D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₄	144	4	D4.9D18	288,161
D₄.₁₀D₁₈ = D₄.₁₀D₁₈	φ: trivial image	144	4-	D4.10D18	288,364

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