Extensions 1→N→G→Q→1 with N=C₄×D₁₉ and Q=C₂

Direct product G=N×Q with N=C₄×D₁₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₁₉		152		C2xC4xD19	304,28

Semidirect products G=N:Q with N=C₄×D₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₉)⋊₁C₂ = D₄×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	76	4+	(C4xD19):1C2	304,31
(C₄×D₁₉)⋊₂C₂ = D₄⋊₂D₁₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	152	4-	(C4xD19):2C2	304,32
(C₄×D₁₉)⋊₃C₂ = D₇₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	152	4+	(C4xD19):3C2	304,34
(C₄×D₁₉)⋊₄C₂ = D₇₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	152	2	(C4xD19):4C2	304,30

Non-split extensions G=N.Q with N=C₄×D₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₉).₁C₂ = Q₈×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	152	4-	(C4xD19).1C2	304,33
(C₄×D₁₉).₂C₂ = C₈⋊D₁₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₉	152	2	(C4xD19).2C2	304,4
(C₄×D₁₉).₃C₂ = C₈×D₁₉	φ: trivial image	152	2	(C4xD19).3C2	304,3

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