Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄.D₅

Direct product G=N×Q with N=C₂² and Q=D₄.D₅

		d	ρ	Label	ID
C₂²×D₄.D₅		160		C2^2xD4.D5	320,1466

Semidirect products G=N:Q with N=C₂² and Q=D₄.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₄.D₅) = C₅⋊₂C₈⋊₂₃D₄	φ: D₄.D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(D4.D5)	320,668
C₂²⋊₂(D₄.D₅) = Dic₁₀⋊₁₇D₄	φ: D₄.D₅/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(D4.D5)	320,667
C₂²⋊₃(D₄.D₅) = (C₅×D₄).₃₁D₄	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2:3(D4.D5)	320,845

Non-split extensions G=N.Q with N=C₂² and Q=D₄.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄.D₅) = C₂₀.₅₈D₈	φ: D₄.D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(D4.D5)	320,125
C₂².₂(D₄.D₅) = C₄⋊C₄⋊Dic₅	φ: D₄.D₅/Dic₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.2(D4.D5)	320,95
C₂².₃(D₄.D₅) = C₄⋊D₄.D₅	φ: D₄.D₅/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(D4.D5)	320,661
C₂².₄(D₄.D₅) = C₄⋊Dic₅⋊C₄	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2.4(D4.D5)	320,10
C₂².₅(D₄.D₅) = C₈.Dic₁₀	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(D4.D5)	320,45
C₂².₆(D₄.D₅) = D₈.Dic₅	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.6(D4.D5)	320,121
C₂².₇(D₄.D₅) = Q₁₆.Dic₅	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	160	4	C2^2.7(D4.D5)	320,123
C₂².₈(D₄.D₅) = C₄⋊C₄.₂₃₁D₁₀	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	160		C2^2.8(D4.D5)	320,598
C₂².₉(D₄.D₅) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2^2.9(D4.D5)	320,87
C₂².₁₀(D₄.D₅) = C₂×C₂₀.Q₈	central extension (φ=1)	320		C2^2.10(D4.D5)	320,590
C₂².₁₁(D₄.D₅) = C₂×C₁₀.Q₁₆	central extension (φ=1)	320		C2^2.11(D4.D5)	320,596
C₂².₁₂(D₄.D₅) = C₂×D₄⋊Dic₅	central extension (φ=1)	160		C2^2.12(D4.D5)	320,841

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