Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×D₅

Direct product G=N×Q with N=C₂² and Q=C₄×D₅

		d	ρ	Label	ID
D₅×C₂²×C₄		80		D5xC2^2xC4	160,214

Semidirect products G=N:Q with N=C₂² and Q=C₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄×D₅) = Dic₅⋊₄D₄	φ: C₄×D₅/Dic₅ → C₂ ⊆ Aut C₂²	80		C2^2:1(C4xD5)	160,102
C₂²⋊₂(C₄×D₅) = C₄×C₅⋊D₄	φ: C₄×D₅/C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:2(C4xD5)	160,149
C₂²⋊₃(C₄×D₅) = D₅×C₂²⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:3(C4xD5)	160,101

Non-split extensions G=N.Q with N=C₂² and Q=C₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄×D₅) = D₂₀.₂C₄	φ: C₄×D₅/Dic₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.1(C4xD5)	160,128
C₂².₂(C₄×D₅) = D₂₀.₃C₄	φ: C₄×D₅/C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.2(C4xD5)	160,122
C₂².₃(C₄×D₅) = C₂³.₁D₁₀	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.3(C4xD5)	160,13
C₂².₄(C₄×D₅) = C₂₀.₄₆D₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4+	C2^2.4(C4xD5)	160,30
C₂².₅(C₄×D₅) = C₄.₁₂D₂₀	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	80	4-	C2^2.5(C4xD5)	160,31
C₂².₆(C₄×D₅) = C₂³.₁₁D₁₀	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.6(C4xD5)	160,98
C₂².₇(C₄×D₅) = D₅×M₄(2)	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.7(C4xD5)	160,127
C₂².₈(C₄×D₅) = C₈×Dic₅	central extension (φ=1)	160		C2^2.8(C4xD5)	160,20
C₂².₉(C₄×D₅) = C₂₀.₈Q₈	central extension (φ=1)	160		C2^2.9(C4xD5)	160,21
C₂².₁₀(C₄×D₅) = C₄₀⋊₈C₄	central extension (φ=1)	160		C2^2.10(C4xD5)	160,22
C₂².₁₁(C₄×D₅) = D₁₀⋊₁C₈	central extension (φ=1)	80		C2^2.11(C4xD5)	160,27
C₂².₁₂(C₄×D₅) = C₁₀.₁₀C₄²	central extension (φ=1)	160		C2^2.12(C4xD5)	160,38
C₂².₁₃(C₄×D₅) = D₅×C₂×C₈	central extension (φ=1)	80		C2^2.13(C4xD5)	160,120
C₂².₁₄(C₄×D₅) = C₂×C₈⋊D₅	central extension (φ=1)	80		C2^2.14(C4xD5)	160,121
C₂².₁₅(C₄×D₅) = C₂×C₄×Dic₅	central extension (φ=1)	160		C2^2.15(C4xD5)	160,143
C₂².₁₆(C₄×D₅) = C₂×C₁₀.D₄	central extension (φ=1)	160		C2^2.16(C4xD5)	160,144
C₂².₁₇(C₄×D₅) = C₂×D₁₀⋊C₄	central extension (φ=1)	80		C2^2.17(C4xD5)	160,148

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