Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₈⋊Q₈

		d	ρ	Label	ID
C₅×C₈⋊Q₈		320		C5xC8:Q8	320,1002

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊Q₈) = C₈⋊Dic₁₀	φ: C₈⋊Q₈/C₈⋊C₄ → C₂ ⊆ Aut C₅	320		C5:1(C8:Q8)	320,329
C₅⋊₂(C₈⋊Q₈) = C₄₀⋊₃Q₈	φ: C₈⋊Q₈/C₄.Q₈ → C₂ ⊆ Aut C₅	320		C5:2(C8:Q8)	320,483
C₅⋊₃(C₈⋊Q₈) = C₄₀⋊₄Q₈	φ: C₈⋊Q₈/C₂.D₈ → C₂ ⊆ Aut C₅	320		C5:3(C8:Q8)	320,503
C₅⋊₄(C₈⋊Q₈) = C₄².₆₈D₁₀	φ: C₈⋊Q₈/C₄².C₂ → C₂ ⊆ Aut C₅	320		C5:4(C8:Q8)	320,692
C₅⋊₅(C₈⋊Q₈) = C₄².₇₆D₁₀	φ: C₈⋊Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	320		C5:5(C8:Q8)	320,707

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁