Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₈○D₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₈○D₄

		d	ρ	Label	ID
C₁₀×C₈○D₄		160		C10xC8oD4	320,1569

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈○D₄) = C₂×D₄.F₅	φ: C₂×C₈○D₄/C₂×D₄ → C₄ ⊆ Aut C₅	160		C5:1(C2xC8oD4)	320,1593
C₅⋊₂(C₂×C₈○D₄) = C₂×Q₈.F₅	φ: C₂×C₈○D₄/C₂×Q₈ → C₄ ⊆ Aut C₅	160		C5:2(C2xC8oD4)	320,1597
C₅⋊₃(C₂×C₈○D₄) = Dic₅.₂₁C₂⁴	φ: C₂×C₈○D₄/C₄○D₄ → C₄ ⊆ Aut C₅	80	8	C5:3(C2xC8oD4)	320,1601
C₅⋊₄(C₂×C₈○D₄) = C₂×D₂₀.₃C₄	φ: C₂×C₈○D₄/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C2xC8oD4)	320,1410
C₅⋊₅(C₂×C₈○D₄) = C₂×D₂₀.₂C₄	φ: C₂×C₈○D₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:5(C2xC8oD4)	320,1416
C₅⋊₆(C₂×C₈○D₄) = D₅×C₈○D₄	φ: C₂×C₈○D₄/C₈○D₄ → C₂ ⊆ Aut C₅	80	4	C5:6(C2xC8oD4)	320,1421
C₅⋊₇(C₂×C₈○D₄) = C₂×D₄.Dic₅	φ: C₂×C₈○D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:7(C2xC8oD4)	320,1490

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁