Extensions 1→N→G→Q→1 with N=Dic₅₁ and Q=C₂

Direct product G=N×Q with N=Dic₅₁ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₁		408		C2xDic51	408,28

Semidirect products G=N:Q with N=Dic₅₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₁⋊₁C₂ = C₅₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	204	2	Dic51:1C2	408,29
Dic₅₁⋊₂C₂ = Dic₃×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	204	4-	Dic51:2C2	408,7
Dic₅₁⋊₃C₂ = S₃×Dic₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	204	4-	Dic51:3C2	408,8
Dic₅₁⋊₄C₂ = C₅₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	204	4-	Dic51:4C2	408,10
Dic₅₁⋊₅C₂ = C₄×D₅₁	φ: trivial image	204	2	Dic51:5C2	408,26

Non-split extensions G=N.Q with N=Dic₅₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₁.₁C₂ = Dic₁₀₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	408	2-	Dic51.1C2	408,25
Dic₅₁.₂C₂ = C₅₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₁	408	4-	Dic51.2C2	408,13

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