Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.₂D₄

Direct product G=N×Q with N=C₅ and Q=C₈.₂D₄

		d	ρ	Label	ID
C₅×C₈.₂D₄		160		C5xC8.2D4	320,998

Semidirect products G=N:Q with N=C₅ and Q=C₈.₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.₂D₄) = C₈.D₂₀	φ: C₈.₂D₄/C₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8.2D4)	320,342
C₅⋊₂(C₈.₂D₄) = C₄².₆₅D₁₀	φ: C₈.₂D₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:2(C8.2D4)	320,687
C₅⋊₃(C₈.₂D₄) = C₄².₈₀D₁₀	φ: C₈.₂D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C8.2D4)	320,713
C₅⋊₄(C₈.₂D₄) = C₄₀.₃₁D₄	φ: C₈.₂D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:4(C8.2D4)	320,794
C₅⋊₅(C₈.₂D₄) = C₄₀.₃₇D₄	φ: C₈.₂D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160		C5:5(C8.2D4)	320,817

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁