Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xD₅

Direct product G=NxQ with N=C₆ and Q=C₄xD₅

		d	ρ	Label	ID
D₅xC₂xC₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₆ and Q=C₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₄xD₅) = C₂xD₃₀.C₂	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₆	120		C6:1(C4xD5)	240,144
C₆:₂(C₄xD₅) = C₂xC₄xD₁₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	120		C6:2(C4xD5)	240,176
C₆:₃(C₄xD₅) = C₂xD₅xDic₃	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	120		C6:3(C4xD5)	240,139

Non-split extensions G=N.Q with N=C₆ and Q=C₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xD₅) = D₁₅:₂C₈	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₆	120	4	C6.1(C4xD5)	240,9
C₆.₂(C₄xD₅) = D₃₀.₅C₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₆	120	4	C6.2(C4xD5)	240,12
C₆.₃(C₄xD₅) = D₃₀:₄C₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₆	120		C6.3(C4xD5)	240,28
C₆.₄(C₄xD₅) = Dic₁₅:₅C₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₆	240		C6.4(C4xD5)	240,30
C₆.₅(C₄xD₅) = C₈xD₁₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	120	2	C6.5(C4xD5)	240,65
C₆.₆(C₄xD₅) = C₄₀:S₃	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	120	2	C6.6(C4xD5)	240,66
C₆.₇(C₄xD₅) = C₄xDic₁₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	240		C6.7(C4xD5)	240,72
C₆.₈(C₄xD₅) = C₃₀.₄Q₈	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	240		C6.8(C4xD5)	240,73
C₆.₉(C₄xD₅) = D₃₀:₃C₄	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₆	120		C6.9(C4xD5)	240,75
C₆.₁₀(C₄xD₅) = D₅xC₃:C₈	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	120	4	C6.10(C4xD5)	240,7
C₆.₁₁(C₄xD₅) = C₂₀.₃₂D₆	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	120	4	C6.11(C4xD5)	240,10
C₆.₁₂(C₄xD₅) = Dic₃xDic₅	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	240		C6.12(C4xD5)	240,25
C₆.₁₃(C₄xD₅) = D₁₀:Dic₃	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	120		C6.13(C4xD5)	240,26
C₆.₁₄(C₄xD₅) = C₃₀.Q₈	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₆	240		C6.14(C4xD5)	240,29
C₆.₁₅(C₄xD₅) = D₅xC₂₄	central extension (φ=1)	120	2	C6.15(C4xD5)	240,33
C₆.₁₆(C₄xD₅) = C₃xC₈:D₅	central extension (φ=1)	120	2	C6.16(C4xD5)	240,34
C₆.₁₇(C₄xD₅) = C₁₂xDic₅	central extension (φ=1)	240		C6.17(C4xD5)	240,40
C₆.₁₈(C₄xD₅) = C₃xC₁₀.D₄	central extension (φ=1)	240		C6.18(C4xD5)	240,41
C₆.₁₉(C₄xD₅) = C₃xD₁₀:C₄	central extension (φ=1)	120		C6.19(C4xD5)	240,43

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