Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂²

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₁₀		80		C2^3xC10	80,52

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):C₂² = D₄xD₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₁₀	20	4+	(C2xC10):C2^2	80,39
(C₂xC₁₀):₂C₂² = D₄xC₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10):2C2^2	80,46
(C₂xC₁₀):₃C₂² = C₂xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10):3C2^2	80,44
(C₂xC₁₀):₄C₂² = C₂³xD₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10):4C2^2	80,51

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).C₂² = D₄:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₁₀	40	4-	(C2xC10).C2^2	80,40
(C₂xC₁₀).₂C₂² = C₅xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40	2	(C2xC10).2C2^2	80,48
(C₂xC₁₀).₃C₂² = C₄xDic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).3C2^2	80,11
(C₂xC₁₀).₄C₂² = C₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).4C2^2	80,12
(C₂xC₁₀).₅C₂² = C₄:Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).5C2^2	80,13
(C₂xC₁₀).₆C₂² = D₁₀:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10).6C2^2	80,14
(C₂xC₁₀).₇C₂² = C₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10).7C2^2	80,19
(C₂xC₁₀).₈C₂² = C₂xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).8C2^2	80,35
(C₂xC₁₀).₉C₂² = C₂xC₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10).9C2^2	80,36
(C₂xC₁₀).₁₀C₂² = C₂xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40		(C2xC10).10C2^2	80,37
(C₂xC₁₀).₁₁C₂² = C₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	40	2	(C2xC10).11C2^2	80,38
(C₂xC₁₀).₁₂C₂² = C₂²xDic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).12C2^2	80,43
(C₂xC₁₀).₁₃C₂² = C₅xC₂²:C₄	central extension (φ=1)	40		(C2xC10).13C2^2	80,21
(C₂xC₁₀).₁₄C₂² = C₅xC₄:C₄	central extension (φ=1)	80		(C2xC10).14C2^2	80,22
(C₂xC₁₀).₁₅C₂² = Q₈xC₁₀	central extension (φ=1)	80		(C2xC10).15C2^2	80,47

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