Extensions 1→N→G→Q→1 with N=D₅₀ and Q=C₂²

Direct product G=N×Q with N=D₅₀ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₂₅		200		C2^3xD25	400,54

Semidirect products G=N:Q with N=D₅₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₀⋊₁C₂² = C₂×D₁₀₀	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	200		D50:1C2^2	400,37
D₅₀⋊₂C₂² = D₄×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	100	4+	D50:2C2^2	400,39
D₅₀⋊₃C₂² = C₂×C₂₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	200		D50:3C2^2	400,44

Non-split extensions G=N.Q with N=D₅₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₀.₁C₂² = D₁₀₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	200	2	D50.1C2^2	400,38
D₅₀.₂C₂² = D₄⋊₂D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	200	4-	D50.2C2^2	400,40
D₅₀.₃C₂² = Q₈⋊₂D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	200	4+	D50.3C2^2	400,42
D₅₀.₄C₂² = C₄×C₂₅⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	100	4	D50.4C2^2	400,30
D₅₀.₅C₂² = C₁₀₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	100	4	D50.5C2^2	400,31
D₅₀.₆C₂² = D₂₅.D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	100	4+	D50.6C2^2	400,34
D₅₀.₇C₂² = C₂²×C₂₅⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₀	100		D50.7C2^2	400,53
D₅₀.₈C₂² = C₂×C₄×D₂₅	φ: trivial image	200		D50.8C2^2	400,36
D₅₀.₉C₂² = Q₈×D₂₅	φ: trivial image	200	4-	D50.9C2^2	400,41

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