Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂²xC₁₀

Direct product G=NxQ with N=C₆ and Q=C₂²xC₁₀

		d	ρ	Label	ID
C₂³xC₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₆ and Q=C₂²xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂²xC₁₀) = S₃xC₂²xC₁₀	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120		C6:(C2^2xC10)	240,206

Non-split extensions G=N.Q with N=C₆ and Q=C₂²xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂²xC₁₀) = C₁₀xDic₆	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	240		C6.1(C2^2xC10)	240,165
C₆.₂(C₂²xC₁₀) = S₃xC₂xC₂₀	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120		C6.2(C2^2xC10)	240,166
C₆.₃(C₂²xC₁₀) = C₁₀xD₁₂	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120		C6.3(C2^2xC10)	240,167
C₆.₄(C₂²xC₁₀) = C₅xC₄oD₁₂	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120	2	C6.4(C2^2xC10)	240,168
C₆.₅(C₂²xC₁₀) = C₅xS₃xD₄	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	60	4	C6.5(C2^2xC10)	240,169
C₆.₆(C₂²xC₁₀) = C₅xD₄:₂S₃	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120	4	C6.6(C2^2xC10)	240,170
C₆.₇(C₂²xC₁₀) = C₅xS₃xQ₈	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120	4	C6.7(C2^2xC10)	240,171
C₆.₈(C₂²xC₁₀) = C₅xQ₈:₃S₃	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120	4	C6.8(C2^2xC10)	240,172
C₆.₉(C₂²xC₁₀) = Dic₃xC₂xC₁₀	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	240		C6.9(C2^2xC10)	240,173
C₆.₁₀(C₂²xC₁₀) = C₁₀xC₃:D₄	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₆	120		C6.10(C2^2xC10)	240,174
C₆.₁₁(C₂²xC₁₀) = D₄xC₃₀	central extension (φ=1)	120		C6.11(C2^2xC10)	240,186
C₆.₁₂(C₂²xC₁₀) = Q₈xC₃₀	central extension (φ=1)	240		C6.12(C2^2xC10)	240,187
C₆.₁₃(C₂²xC₁₀) = C₁₅xC₄oD₄	central extension (φ=1)	120	2	C6.13(C2^2xC10)	240,188

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