Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₄₆D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₄₆D₄

		d	ρ	Label	ID
C₅×C₂³.₄₆D₄		160		C5xC2^3.46D4	320,982

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₄₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₄₆D₄) = C₂³.₃₈D₂₀	φ: C₂³.₄₆D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:1(C2^3.46D4)	320,362
C₅⋊₂(C₂³.₄₆D₄) = D₁₀.₁₆SD₁₆	φ: C₂³.₄₆D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^3.46D4)	320,404
C₅⋊₃(C₂³.₄₆D₄) = D₁₀.₁₇SD₁₆	φ: C₂³.₄₆D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^3.46D4)	320,490
C₅⋊₄(C₂³.₄₆D₄) = C₄⋊C₄.₂₂₈D₁₀	φ: C₂³.₄₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^3.46D4)	320,595
C₅⋊₅(C₂³.₄₆D₄) = C₄⋊D₄.D₅	φ: C₂³.₄₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:5(C2^3.46D4)	320,661

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁