Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈⋊₂C₄

Direct product G=N×Q with N=C₅ and Q=D₈⋊₂C₄

		d	ρ	Label	ID
C₅×D₈⋊₂C₄		80	4	C5xD8:2C4	320,165

Semidirect products G=N:Q with N=C₅ and Q=D₈⋊₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₈⋊₂C₄) = D₁₀.D₈	φ: D₈⋊₂C₄/D₈ → C₄ ⊆ Aut C₅	80	8-	C5:1(D8:2C4)	320,241
C₅⋊₂(D₈⋊₂C₄) = D₄₀⋊₁C₄	φ: D₈⋊₂C₄/Q₁₆ → C₄ ⊆ Aut C₅	80	8+	C5:2(D8:2C4)	320,245
C₅⋊₃(D₈⋊₂C₄) = D₄₀⋊₁₄C₄	φ: D₈⋊₂C₄/C₄.Q₈ → C₂ ⊆ Aut C₅	80	4	C5:3(D8:2C4)	320,46
C₅⋊₄(D₈⋊₂C₄) = D₄₀⋊₈C₄	φ: D₈⋊₂C₄/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:4(D8:2C4)	320,76
C₅⋊₅(D₈⋊₂C₄) = D₈⋊₂Dic₅	φ: D₈⋊₂C₄/C₄○D₈ → C₂ ⊆ Aut C₅	80	4	C5:5(D8:2C4)	320,124

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁