Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂xC₆

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂xC₆

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

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):(C₂xC₆) = C₂xD₅xA₄	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₂xC₁₀	30	6+	(C2xC10):(C2xC6)	240,198
(C₂xC₁₀):₂(C₂xC₆) = C₃xD₄xD₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂xC₁₀	60	4	(C2xC10):2(C2xC6)	240,159
(C₂xC₁₀):₃(C₂xC₆) = A₄xC₂xC₁₀	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₂xC₁₀	60		(C2xC10):3(C2xC6)	240,203
(C₂xC₁₀):₄(C₂xC₆) = D₄xC₃₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10):4(C2xC6)	240,186
(C₂xC₁₀):₅(C₂xC₆) = C₆xC₅:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10):5(C2xC6)	240,164
(C₂xC₁₀):₆(C₂xC₆) = D₅xC₂²xC₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10):6(C2xC6)	240,205

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).(C₂xC₆) = C₃xD₄:₂D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂xC₁₀	120	4	(C2xC10).(C2xC6)	240,160
(C₂xC₁₀).₂(C₂xC₆) = C₁₅xC₄oD₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120	2	(C2xC10).2(C2xC6)	240,188
(C₂xC₁₀).₃(C₂xC₆) = C₁₂xDic₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10).3(C2xC6)	240,40
(C₂xC₁₀).₄(C₂xC₆) = C₃xC₁₀.D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10).4(C2xC6)	240,41
(C₂xC₁₀).₅(C₂xC₆) = C₃xC₄:Dic₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10).5(C2xC6)	240,42
(C₂xC₁₀).₆(C₂xC₆) = C₃xD₁₀:C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).6(C2xC6)	240,43
(C₂xC₁₀).₇(C₂xC₆) = C₃xC₂³.D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).7(C2xC6)	240,48
(C₂xC₁₀).₈(C₂xC₆) = C₆xDic₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10).8(C2xC6)	240,155
(C₂xC₁₀).₉(C₂xC₆) = D₅xC₂xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).9(C2xC6)	240,156
(C₂xC₁₀).₁₀(C₂xC₆) = C₆xD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).10(C2xC6)	240,157
(C₂xC₁₀).₁₁(C₂xC₆) = C₃xC₄oD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	120	2	(C2xC10).11(C2xC6)	240,158
(C₂xC₁₀).₁₂(C₂xC₆) = C₂xC₆xDic₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10).12(C2xC6)	240,163
(C₂xC₁₀).₁₃(C₂xC₆) = C₁₅xC₂²:C₄	central extension (φ=1)	120		(C2xC10).13(C2xC6)	240,82
(C₂xC₁₀).₁₄(C₂xC₆) = C₁₅xC₄:C₄	central extension (φ=1)	240		(C2xC10).14(C2xC6)	240,83
(C₂xC₁₀).₁₅(C₂xC₆) = Q₈xC₃₀	central extension (φ=1)	240		(C2xC10).15(C2xC6)	240,187

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