Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.₂₆D₄

Direct product G=N×Q with N=C₅ and Q=C₈.₂₆D₄

		d	ρ	Label	ID
C₅×C₈.₂₆D₄		80	4	C5xC8.26D4	320,945

Semidirect products G=N:Q with N=C₅ and Q=C₈.₂₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.₂₆D₄) = D₈⋊F₅	φ: C₈.₂₆D₄/D₈ → C₄ ⊆ Aut C₅	80	8-	C5:1(C8.26D4)	320,1071
C₅⋊₂(C₈.₂₆D₄) = SD₁₆⋊₂F₅	φ: C₈.₂₆D₄/SD₁₆ → C₄ ⊆ Aut C₅	80	8	C5:2(C8.26D4)	320,1075
C₅⋊₃(C₈.₂₆D₄) = Q₁₆⋊F₅	φ: C₈.₂₆D₄/Q₁₆ → C₄ ⊆ Aut C₅	80	8+	C5:3(C8.26D4)	320,1079
C₅⋊₄(C₈.₂₆D₄) = D₄₀⋊₁₀C₄	φ: C₈.₂₆D₄/C₈⋊C₄ → C₂ ⊆ Aut C₅	80	4	C5:4(C8.26D4)	320,344
C₅⋊₅(C₈.₂₆D₄) = M₄(2).₂₂D₁₀	φ: C₈.₂₆D₄/C₄≀C₂ → C₂ ⊆ Aut C₅	80	4	C5:5(C8.26D4)	320,450
C₅⋊₆(C₈.₂₆D₄) = D₄₀⋊₁₆C₄	φ: C₈.₂₆D₄/C₈.C₄ → C₂ ⊆ Aut C₅	80	4	C5:6(C8.26D4)	320,521
C₅⋊₇(C₈.₂₆D₄) = C₄₀.₅₀D₄	φ: C₈.₂₆D₄/C₈○D₄ → C₂ ⊆ Aut C₅	80	4	C5:7(C8.26D4)	320,772
C₅⋊₈(C₈.₂₆D₄) = D₈⋊₄Dic₅	φ: C₈.₂₆D₄/C₄○D₈ → C₂ ⊆ Aut C₅	80	4	C5:8(C8.26D4)	320,824

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