Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=F₅

Direct product G=N×Q with N=C₂×C₈ and Q=F₅

		d	ρ	Label	ID
C₂×C₈×F₅		80		C2xC8xF5	320,1054

Semidirect products G=N:Q with N=C₂×C₈ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁F₅ = (C₂×C₈)⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):1F5	320,232
(C₂×C₈)⋊₂F₅ = C₂₀.₂₄C₄²	φ: F₅/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):2F5	320,233
(C₂×C₈)⋊₃F₅ = D₁₀.₃M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):3F5	320,230
(C₂×C₈)⋊₄F₅ = D₁₀.₁₀D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):4F5	320,231
(C₂×C₈)⋊₅F₅ = C₂×D₅.D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):5F5	320,1058
(C₂×C₈)⋊₆F₅ = (C₂×C₈)⋊₆F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80	4	(C2xC8):6F5	320,1059
(C₂×C₈)⋊₇F₅ = C₂×C₄₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):7F5	320,1057
(C₂×C₈)⋊₈F₅ = C₂×C₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):8F5	320,1055
(C₂×C₈)⋊₉F₅ = C₂₀.₁₂C₄²	φ: F₅/D₅ → C₂ ⊆ Aut C₂×C₈	80	4	(C2xC8):9F5	320,1056

Non-split extensions G=N.Q with N=C₂×C₈ and Q=F₅

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

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Extensions 1→N→G→Q→1 with N=C2×C8 and Q=F5

Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=F₅