Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=F₅

Direct product G=NxQ with N=C₂xC₈ and Q=F₅

		d	ρ	Label	ID
C₂xC₈xF₅		80		C2xC8xF5	320,1054

Semidirect products G=N:Q with N=C₂xC₈ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈):₁F₅ = (C₂xC₈):F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8):1F5	320,232
(C₂xC₈):₂F₅ = C₂₀.₂₄C₄²	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8):2F5	320,233
(C₂xC₈):₃F₅ = D₁₀.₃M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80		(C2xC8):3F5	320,230
(C₂xC₈):₄F₅ = D₁₀.₁₀D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80		(C2xC8):4F5	320,231
(C₂xC₈):₅F₅ = C₂xD₅.D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80		(C2xC8):5F5	320,1058
(C₂xC₈):₆F₅ = (C₂xC₈):₆F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80	4	(C2xC8):6F5	320,1059
(C₂xC₈):₇F₅ = C₂xC₄₀:C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80		(C2xC8):7F5	320,1057
(C₂xC₈):₈F₅ = C₂xC₈:F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80		(C2xC8):8F5	320,1055
(C₂xC₈):₉F₅ = C₂₀.₁₂C₄²	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80	4	(C2xC8):9F5	320,1056

Non-split extensions G=N.Q with N=C₂xC₈ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈).₁F₅ = C₂₀.₂₃C₄²	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).1F5	320,228
(C₂xC₈).₂F₅ = C₂₀.₁₀M₄(2)	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).2F5	320,229
(C₂xC₈).₃F₅ = C₂₀.₂₅C₄²	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₈	80	4	(C2xC8).3F5	320,235
(C₂xC₈).₄F₅ = C₂₀.₃₁M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).4F5	320,218
(C₂xC₈).₅F₅ = C₂₀.₂₆M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).5F5	320,221
(C₂xC₈).₆F₅ = Dic₅.₁₃D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).6F5	320,222
(C₂xC₈).₇F₅ = D₁₀:C₁₆	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).7F5	320,225
(C₂xC₈).₈F₅ = C₁₀.M₅(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).8F5	320,226
(C₂xC₈).₉F₅ = C₂₀.₁₀C₄²	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).9F5	320,234
(C₂xC₈).₁₀F₅ = C₄₀:₁C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).10F5	320,220
(C₂xC₈).₁₁F₅ = C₂xD₁₀.Q₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).11F5	320,1061
(C₂xC₈).₁₂F₅ = C₄₀.₁C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80	4	(C2xC8).12F5	320,227
(C₂xC₈).₁₃F₅ = (C₈xD₅).C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80	4	(C2xC8).13F5	320,1062
(C₂xC₈).₁₄F₅ = C₄₀:₂C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).14F5	320,219
(C₂xC₈).₁₅F₅ = C₂xC₄₀.C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).15F5	320,1060
(C₂xC₈).₁₆F₅ = C₅:M₆(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160	4	(C2xC8).16F5	320,215
(C₂xC₈).₁₇F₅ = C₄₀:C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).17F5	320,217
(C₂xC₈).₁₈F₅ = C₄₀.C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	320		(C2xC8).18F5	320,224
(C₂xC₈).₁₉F₅ = C₂xC₈.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	160		(C2xC8).19F5	320,1052
(C₂xC₈).₂₀F₅ = D₅:M₅(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₈	80	4	(C2xC8).20F5	320,1053
(C₂xC₈).₂₁F₅ = C₂xC₅:C₃₂	central extension (φ=1)	320		(C2xC8).21F5	320,214
(C₂xC₈).₂₂F₅ = C₈xC₅:C₈	central extension (φ=1)	320		(C2xC8).22F5	320,216
(C₂xC₈).₂₃F₅ = Dic₅:C₁₆	central extension (φ=1)	320		(C2xC8).23F5	320,223
(C₂xC₈).₂₄F₅ = C₂xD₅:C₁₆	central extension (φ=1)	160		(C2xC8).24F5	320,1051

Extensions 1→N→G→Q→1 with N=C2xC8 and Q=F5

Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=F₅