Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₈⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₈⋊C₄

		d	ρ	Label	ID
C₁₀×C₈⋊C₄		320		C10xC8:C4	320,904

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈⋊C₄) = C₄².₅F₅	φ: C₂×C₈⋊C₄/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C2xC8:C4)	320,1014
C₅⋊₂(C₂×C₈⋊C₄) = C₂×C₈⋊F₅	φ: C₂×C₈⋊C₄/C₂×C₈ → C₄ ⊆ Aut C₅	80		C5:2(C2xC8:C4)	320,1055
C₅⋊₃(C₂×C₈⋊C₄) = C₂×C₁₀.C₄²	φ: C₂×C₈⋊C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	320		C5:3(C2xC8:C4)	320,1087
C₅⋊₄(C₂×C₈⋊C₄) = D₅×C₈⋊C₄	φ: C₂×C₈⋊C₄/C₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2xC8:C4)	320,331
C₅⋊₅(C₂×C₈⋊C₄) = C₂×C₄².D₅	φ: C₂×C₈⋊C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:5(C2xC8:C4)	320,548
C₅⋊₆(C₂×C₈⋊C₄) = C₂×C₄₀⋊₈C₄	φ: C₂×C₈⋊C₄/C₂²×C₈ → C₂ ⊆ Aut C₅	320		C5:6(C2xC8:C4)	320,727

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁