Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×D₂₀

Direct product G=N×Q with N=C₂² and Q=C₃×D₂₀

		d	ρ	Label	ID
C₂×C₆×D₂₀		240		C2xC6xD20	480,1137

Semidirect products G=N:Q with N=C₂² and Q=C₃×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×D₂₀) = A₄×D₂₀	φ: C₃×D₂₀/D₂₀ → C₃ ⊆ Aut C₂²	60	6+	C2^2:(C3xD20)	480,1037
C₂²⋊₂(C₃×D₂₀) = C₃×C₂₀⋊₇D₄	φ: C₃×D₂₀/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C3xD20)	480,723
C₂²⋊₃(C₃×D₂₀) = C₃×C₂²⋊D₂₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	120		C2^2:3(C3xD20)	480,675

Non-split extensions G=N.Q with N=C₂² and Q=C₃×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃×D₂₀) = C₃×D₄₀⋊₇C₂	φ: C₃×D₂₀/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1(C3xD20)	480,697
C₂².₂(C₃×D₂₀) = C₃×C₂³.₁D₁₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(C3xD20)	480,84
C₂².₃(C₃×D₂₀) = C₃×D₂₀⋊₇C₄	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(C3xD20)	480,103
C₂².₄(C₃×D₂₀) = C₃×C₂².D₂₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	240		C2^2.4(C3xD20)	480,679
C₂².₅(C₃×D₂₀) = C₃×C₈⋊D₁₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.5(C3xD20)	480,701
C₂².₆(C₃×D₂₀) = C₃×C₈.D₁₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₂²	240	4	C2^2.6(C3xD20)	480,702
C₂².₇(C₃×D₂₀) = C₃×C₂₀.₄₄D₄	central extension (φ=1)	480		C2^2.7(C3xD20)	480,94
C₂².₈(C₃×D₂₀) = C₃×C₄₀⋊₆C₄	central extension (φ=1)	480		C2^2.8(C3xD20)	480,95
C₂².₉(C₃×D₂₀) = C₃×C₄₀⋊₅C₄	central extension (φ=1)	480		C2^2.9(C3xD20)	480,96
C₂².₁₀(C₃×D₂₀) = C₃×D₂₀⋊₅C₄	central extension (φ=1)	240		C2^2.10(C3xD20)	480,99
C₂².₁₁(C₃×D₂₀) = C₃×C₁₀.₁₀C₄²	central extension (φ=1)	480		C2^2.11(C3xD20)	480,109
C₂².₁₂(C₃×D₂₀) = C₆×C₄₀⋊C₂	central extension (φ=1)	240		C2^2.12(C3xD20)	480,695
C₂².₁₃(C₃×D₂₀) = C₆×D₄₀	central extension (φ=1)	240		C2^2.13(C3xD20)	480,696
C₂².₁₄(C₃×D₂₀) = C₆×Dic₂₀	central extension (φ=1)	480		C2^2.14(C3xD20)	480,698
C₂².₁₅(C₃×D₂₀) = C₆×C₄⋊Dic₅	central extension (φ=1)	480		C2^2.15(C3xD20)	480,718
C₂².₁₆(C₃×D₂₀) = C₆×D₁₀⋊C₄	central extension (φ=1)	240		C2^2.16(C3xD20)	480,720

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