Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃₈

Direct product G=N×Q with N=D₄ and Q=C₃₈

		d	ρ	Label	ID
D₄×C₃₈		152		D4xC38	304,38

Semidirect products G=N:Q with N=D₄ and Q=C₃₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₃₈ = D₈×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Out D₄	152	2	D4:C38	304,24
D₄⋊₂C₃₈ = C₄○D₄×C₁₉	φ: trivial image	152	2	D4:2C38	304,40

Non-split extensions G=N.Q with N=D₄ and Q=C₃₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₃₈ = SD₁₆×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Out D₄	152	2	D4.C38	304,25

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Extensions 1→N→G→Q→1 with N=D4 and Q=C38