Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅xC₁₂

Direct product G=NxQ with N=C₄ and Q=D₅xC₁₂

		d	ρ	Label	ID
D₅xC₄xC₁₂		240		D5xC4xC12	480,664

Semidirect products G=N:Q with N=C₄ and Q=D₅xC₁₂

extension	φ:Q→Aut N	d	Label	ID
C₄:₁(D₅xC₁₂) = C₃xD₂₀:₈C₄	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	240	C4:1(D5xC12)	480,686
C₄:₂(D₅xC₁₂) = C₁₂xD₂₀	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	240	C4:2(D5xC12)	480,666
C₄:₃(D₅xC₁₂) = C₃xD₅xC₄:C₄	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	240	C4:3(D5xC12)	480,684

Non-split extensions G=N.Q with N=C₄ and Q=D₅xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₅xC₁₂) = C₃xD₂₀:₆C₄	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	240		C4.1(D5xC12)	480,87
C₄.₂(D₅xC₁₂) = C₃xC₁₀.Q₁₆	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	480		C4.2(D5xC12)	480,88
C₄.₃(D₅xC₁₂) = C₃xD₂₀:₇C₄	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	120	4	C4.3(D5xC12)	480,103
C₄.₄(D₅xC₁₂) = C₃xDic₅:₃Q₈	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	480		C4.4(D5xC12)	480,680
C₄.₅(D₅xC₁₂) = C₃xD₂₀.₂C₄	φ: D₅xC₁₂/C₃xDic₅ → C₂ ⊆ Aut C₄	240	4	C4.5(D5xC12)	480,700
C₄.₆(D₅xC₁₂) = C₃xD₂₀:₄C₄	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	120	2	C4.6(D5xC12)	480,83
C₄.₇(D₅xC₁₂) = C₃xC₂₀.₄₄D₄	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	480		C4.7(D5xC12)	480,94
C₄.₈(D₅xC₁₂) = C₃xD₂₀:₅C₄	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	240		C4.8(D5xC12)	480,99
C₄.₉(D₅xC₁₂) = C₁₂xDic₁₀	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	480		C4.9(D5xC12)	480,661
C₄.₁₀(D₅xC₁₂) = C₃xD₂₀.₃C₄	φ: D₅xC₁₂/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.10(D5xC12)	480,694
C₄.₁₁(D₅xC₁₂) = C₃xC₁₀.D₈	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	480		C4.11(D5xC12)	480,85
C₄.₁₂(D₅xC₁₂) = C₃xC₂₀.Q₈	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	480		C4.12(D5xC12)	480,86
C₄.₁₃(D₅xC₁₂) = C₃xC₂₀.₅₃D₄	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	240	4	C4.13(D5xC12)	480,100
C₄.₁₄(D₅xC₁₂) = C₃xC₄:C₄:₇D₅	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	240		C4.14(D5xC12)	480,685
C₄.₁₅(D₅xC₁₂) = C₃xD₅xM₄(2)	φ: D₅xC₁₂/C₆xD₅ → C₂ ⊆ Aut C₄	120	4	C4.15(D5xC12)	480,699
C₄.₁₆(D₅xC₁₂) = D₅xC₄₈	central extension (φ=1)	240	2	C4.16(D5xC12)	480,75
C₄.₁₇(D₅xC₁₂) = C₃xC₈₀:C₂	central extension (φ=1)	240	2	C4.17(D5xC12)	480,76
C₄.₁₈(D₅xC₁₂) = C₁₂xC₅:₂C₈	central extension (φ=1)	480		C4.18(D5xC12)	480,80
C₄.₁₉(D₅xC₁₂) = C₃xC₄².D₅	central extension (φ=1)	480		C4.19(D5xC12)	480,81
C₄.₂₀(D₅xC₁₂) = Dic₅xC₂₄	central extension (φ=1)	480		C4.20(D5xC12)	480,91
C₄.₂₁(D₅xC₁₂) = C₃xC₄₀:₈C₄	central extension (φ=1)	480		C4.21(D5xC12)	480,93
C₄.₂₂(D₅xC₁₂) = C₃xC₄²:D₅	central extension (φ=1)	240		C4.22(D5xC12)	480,665
C₄.₂₃(D₅xC₁₂) = D₅xC₂xC₂₄	central extension (φ=1)	240		C4.23(D5xC12)	480,692
C₄.₂₄(D₅xC₁₂) = C₆xC₈:D₅	central extension (φ=1)	240		C4.24(D5xC12)	480,693

Extensions 1→N→G→Q→1 with N=C4 and Q=D5xC12

Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅xC₁₂