Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₆ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂²xC₃₀		120		C2^2xC30	120,47

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₁₀) = S₃xC₂xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	60		C6:(C2xC10)	120,45

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₁₀) = C₅xDic₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	120	2	C6.1(C2xC10)	120,21
C₆.₂(C₂xC₁₀) = S₃xC₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2	C6.2(C2xC10)	120,22
C₆.₃(C₂xC₁₀) = C₅xD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2	C6.3(C2xC10)	120,23
C₆.₄(C₂xC₁₀) = C₁₀xDic₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	120		C6.4(C2xC10)	120,24
C₆.₅(C₂xC₁₀) = C₅xC₃:D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2	C6.5(C2xC10)	120,25
C₆.₆(C₂xC₁₀) = D₄xC₁₅	central extension (φ=1)	60	2	C6.6(C2xC10)	120,32
C₆.₇(C₂xC₁₀) = Q₈xC₁₅	central extension (φ=1)	120	2	C6.7(C2xC10)	120,33

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