Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₂²

Direct product G=N×Q with N=D₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₂₀		80		C2^2xD20	160,215

Semidirect products G=N:Q with N=D₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₂² = D₅×D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	40	4+	D20:1C2^2	160,131
D₂₀⋊₂C₂² = D₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	40	4+	D20:2C2^2	160,135
D₂₀⋊₃C₂² = C₂×D₄₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80		D20:3C2^2	160,124
D₂₀⋊₄C₂² = C₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4+	D20:4C2^2	160,129
D₂₀⋊₅C₂² = C₂×D₄⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80		D20:5C2^2	160,152
D₂₀⋊₆C₂² = D₄.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4	D20:6C2^2	160,153
D₂₀⋊₇C₂² = C₂×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40		D20:7C2^2	160,217
D₂₀⋊₈C₂² = D₄⋊₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4	D20:8C2^2	160,219
D₂₀⋊₉C₂² = C₂×Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80		D20:9C2^2	160,221
D₂₀⋊₁₀C₂² = D₅×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4	D20:10C2^2	160,223
D₂₀⋊₁₁C₂² = D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4+	D20:11C2^2	160,224
D₂₀⋊₁₂C₂² = C₂×C₄○D₂₀	φ: trivial image	80		D20:12C2^2	160,216

Non-split extensions G=N.Q with N=D₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₂² = D₈⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	40	4	D20.1C2^2	160,132
D₂₀.₂C₂² = D₅×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	40	4	D20.2C2^2	160,134
D₂₀.₃C₂² = SD₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	80	4	D20.3C2^2	160,137
D₂₀.₄C₂² = Q₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	80	4	D20.4C2^2	160,139
D₂₀.₅C₂² = Q₈.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₂₀	80	4+	D20.5C2^2	160,140
D₂₀.₆C₂² = C₂×C₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80		D20.6C2^2	160,123
D₂₀.₇C₂² = D₄₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80	2	D20.7C2^2	160,125
D₂₀.₈C₂² = C₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80	4-	D20.8C2^2	160,130
D₂₀.₉C₂² = C₂×Q₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80		D20.9C2^2	160,162
D₂₀.₁₀C₂² = C₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80	4	D20.10C2^2	160,163
D₂₀.₁₁C₂² = D₄⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	40	4+	D20.11C2^2	160,170
D₂₀.₁₂C₂² = D₄.₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80	4	D20.12C2^2	160,171
D₂₀.₁₃C₂² = Q₈.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₂₀	80	4	D20.13C2^2	160,222
D₂₀.₁₄C₂² = D₄.₁₀D₁₀	φ: trivial image	80	4-	D20.14C2^2	160,225

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