Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄○SD₁₆

Direct product G=N×Q with N=C₅ and Q=D₄○SD₁₆

		d	ρ	Label	ID
C₅×D₄○SD₁₆		80	4	C5xD4oSD16	320,1579

Semidirect products G=N:Q with N=C₅ and Q=D₄○SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄○SD₁₆) = D₄.₁₁D₂₀	φ: D₄○SD₁₆/C₈○D₄ → C₂ ⊆ Aut C₅	80	4	C5:1(D4oSD16)	320,1423
C₅⋊₂(D₄○SD₁₆) = D₂₀.₂₉D₄	φ: D₄○SD₁₆/C₂×SD₁₆ → C₂ ⊆ Aut C₅	80	4	C5:2(D4oSD16)	320,1434
C₅⋊₃(D₄○SD₁₆) = D₈⋊₁₁D₁₀	φ: D₄○SD₁₆/C₄○D₈ → C₂ ⊆ Aut C₅	80	4	C5:3(D4oSD16)	320,1442
C₅⋊₄(D₄○SD₁₆) = D₈⋊₆D₁₀	φ: D₄○SD₁₆/C₈⋊C₂² → C₂ ⊆ Aut C₅	80	8-	C5:4(D4oSD16)	320,1447
C₅⋊₅(D₄○SD₁₆) = C₄₀.C₂³	φ: D₄○SD₁₆/C₈.C₂² → C₂ ⊆ Aut C₅	80	8+	C5:5(D4oSD16)	320,1450
C₅⋊₆(D₄○SD₁₆) = D₂₀.₃₃C₂³	φ: D₄○SD₁₆/2₊¹⁺⁴ → C₂ ⊆ Aut C₅	80	8-	C5:6(D4oSD16)	320,1508
C₅⋊₇(D₄○SD₁₆) = D₂₀.₃₄C₂³	φ: D₄○SD₁₆/2_-¹⁺⁴ → C₂ ⊆ Aut C₅	80	8+	C5:7(D4oSD16)	320,1509

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁