Extensions 1→N→G→Q→1 with N=C₂³xC₁₀ and Q=C₄

Direct product G=NxQ with N=C₂³xC₁₀ and Q=C₄

		d	ρ	Label	ID
C₂⁴xC₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₂³xC₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₁₀):₁C₄ = C₅xC₂wrC₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	40	4	(C2^3xC10):1C4	320,156
(C₂³xC₁₀):₂C₄ = C₁₀xC₂³:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):2C4	320,910
(C₂³xC₁₀):₃C₄ = C₂⁴:₂Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	40	4	(C2^3xC10):3C4	320,94
(C₂³xC₁₀):₄C₄ = C₂xC₂³:Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):4C4	320,846
(C₂³xC₁₀):₅C₄ = C₂⁴:₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	40	4	(C2^3xC10):5C4	320,272
(C₂³xC₁₀):₆C₄ = C₂xC₂³:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):6C4	320,1134
(C₂³xC₁₀):₇C₄ = C₂⁴:₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	40		(C2^3xC10):7C4	320,1138
(C₂³xC₁₀):₈C₄ = C₂²xC₂²:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):8C4	320,1607
(C₂³xC₁₀):₉C₄ = C₂⁴xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):9C4	320,1638
(C₂³xC₁₀):₁₀C₄ = C₅xC₂⁴:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):10C4	320,880
(C₂³xC₁₀):₁₁C₄ = C₂²:C₄xC₂xC₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10):11C4	320,1514
(C₂³xC₁₀):₁₂C₄ = C₂⁵.₂D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):12C4	320,874
(C₂³xC₁₀):₁₃C₄ = C₂²xC₂³.D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10):13C4	320,1511
(C₂³xC₁₀):₁₄C₄ = C₂⁴xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320		(C2^3xC10):14C4	320,1626

Non-split extensions G=N.Q with N=C₂³xC₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₁₀).₁C₄ = C₅xC₂³:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).1C4	320,128
(C₂³xC₁₀).₂C₄ = C₁₀xC₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).2C4	320,912
(C₂³xC₁₀).₃C₄ = C₂⁴.Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).3C4	320,83
(C₂³xC₁₀).₄C₄ = C₂xC₂₀.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).4C4	320,843
(C₂³xC₁₀).₅C₄ = C₂⁴.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).5C4	320,271
(C₂³xC₁₀).₆C₄ = C₂xC₂³.₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).6C4	320,1135
(C₂³xC₁₀).₇C₄ = C₂⁴.₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).7C4	320,1136
(C₂³xC₁₀).₈C₄ = C₂xC₂³.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).8C4	320,1137
(C₂³xC₁₀).₉C₄ = C₂³xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	320		(C2^3xC10).9C4	320,1605
(C₂³xC₁₀).₁₀C₄ = C₂²xC₂².F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).10C4	320,1606
(C₂³xC₁₀).₁₁C₄ = C₁₀xC₂²:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).11C4	320,907
(C₂³xC₁₀).₁₂C₄ = C₅xC₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).12C4	320,908
(C₂³xC₁₀).₁₃C₄ = M₄(2)xC₂xC₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).13C4	320,1568
(C₂³xC₁₀).₁₄C₄ = C₂xC₂₀.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).14C4	320,833
(C₂³xC₁₀).₁₅C₄ = C₂⁴.₄Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10).15C4	320,834
(C₂³xC₁₀).₁₆C₄ = C₂³xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320		(C2^3xC10).16C4	320,1452
(C₂³xC₁₀).₁₇C₄ = C₂²xC₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10).17C4	320,1453

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