Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×Q₁₆

Direct product G=N×Q with N=C₅ and Q=C₄×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₀		320		Q16xC20	320,940

Semidirect products G=N:Q with N=C₅ and Q=C₄×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×Q₁₆) = Q₁₆×F₅	φ: C₄×Q₁₆/Q₁₆ → C₄ ⊆ Aut C₅	80	8-	C5:(C4xQ16)	320,1076
C₅⋊₂(C₄×Q₁₆) = C₄×Dic₂₀	φ: C₄×Q₁₆/C₄×C₈ → C₂ ⊆ Aut C₅	320		C5:2(C4xQ16)	320,325
C₅⋊₃(C₄×Q₁₆) = Dic₅⋊₄Q₁₆	φ: C₄×Q₁₆/Q₈⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C4xQ16)	320,417
C₅⋊₄(C₄×Q₁₆) = Dic₅⋊₅Q₁₆	φ: C₄×Q₁₆/C₂.D₈ → C₂ ⊆ Aut C₅	320		C5:4(C4xQ16)	320,500
C₅⋊₅(C₄×Q₁₆) = C₄×C₅⋊Q₁₆	φ: C₄×Q₁₆/C₄×Q₈ → C₂ ⊆ Aut C₅	320		C5:5(C4xQ16)	320,656
C₅⋊₆(C₄×Q₁₆) = Q₁₆×Dic₅	φ: C₄×Q₁₆/C₂×Q₁₆ → C₂ ⊆ Aut C₅	320		C5:6(C4xQ16)	320,810

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁