Extensions 1→N→G→Q→1 with N=D₁₀₀ and Q=C₂

Direct product G=N×Q with N=D₁₀₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀₀		200		C2xD100	400,37

Semidirect products G=N:Q with N=D₁₀₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀₀⋊₁C₂ = D₂₀₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	200	2+	D100:1C2	400,8
D₁₀₀⋊₂C₂ = D₄⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	200	4+	D100:2C2	400,16
D₁₀₀⋊₃C₂ = D₄×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	100	4+	D100:3C2	400,39
D₁₀₀⋊₄C₂ = Q₈⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	200	4+	D100:4C2	400,42
D₁₀₀⋊₅C₂ = D₁₀₀⋊₅C₂	φ: trivial image	200	2	D100:5C2	400,38

Non-split extensions G=N.Q with N=D₁₀₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀₀.₁C₂ = C₂₀₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	200	2	D100.1C2	400,7
D₁₀₀.₂C₂ = Q₈⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀₀	200	4+	D100.2C2	400,18

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