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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₂₀ = C₂₀⋊₇D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:1D20	160,151
C₂²⋊₂D₂₀ = C₂²⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:2D20	160,103

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₂₀ = D₄₀⋊₇C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.1D20	160,125
C₂².₂D₂₀ = C₂³.₁D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.2D20	160,13
C₂².₃D₂₀ = D₂₀⋊₇C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.3D20	160,32
C₂².₄D₂₀ = C₂².D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.4D20	160,107
C₂².₅D₂₀ = C₈⋊D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	40	4+	C2^2.5D20	160,129
C₂².₆D₂₀ = C₈.D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂²	80	4-	C2^2.6D20	160,130
C₂².₇D₂₀ = C₂₀.₄₄D₄	central extension (φ=1)	160		C2^2.7D20	160,23
C₂².₈D₂₀ = C₄₀⋊₆C₄	central extension (φ=1)	160		C2^2.8D20	160,24
C₂².₉D₂₀ = C₄₀⋊₅C₄	central extension (φ=1)	160		C2^2.9D20	160,25
C₂².₁₀D₂₀ = D₂₀⋊₅C₄	central extension (φ=1)	80		C2^2.10D20	160,28
C₂².₁₁D₂₀ = C₁₀.₁₀C₄²	central extension (φ=1)	160		C2^2.11D20	160,38
C₂².₁₂D₂₀ = C₂×C₄₀⋊C₂	central extension (φ=1)	80		C2^2.12D20	160,123
C₂².₁₃D₂₀ = C₂×D₄₀	central extension (φ=1)	80		C2^2.13D20	160,124
C₂².₁₄D₂₀ = C₂×Dic₂₀	central extension (φ=1)	160		C2^2.14D20	160,126
C₂².₁₅D₂₀ = C₂×C₄⋊Dic₅	central extension (φ=1)	160		C2^2.15D20	160,146
C₂².₁₆D₂₀ = C₂×D₁₀⋊C₄	central extension (φ=1)	80		C2^2.16D20	160,148

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