Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊SD₁₆

Direct product G=N×Q with N=C₅ and Q=C₂²⋊SD₁₆

		d	ρ	Label	ID
C₅×C₂²⋊SD₁₆		80		C5xC2^2:SD16	320,951

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²⋊SD₁₆) = D₂₀.₃₁D₄	φ: C₂²⋊SD₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₅	80		C5:1(C2^2:SD16)	320,358
C₅⋊₂(C₂²⋊SD₁₆) = D₂₀.₈D₄	φ: C₂²⋊SD₁₆/D₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^2:SD16)	320,403
C₅⋊₃(C₂²⋊SD₁₆) = D₂₀.₃₆D₄	φ: C₂²⋊SD₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	80		C5:3(C2^2:SD16)	320,673
C₅⋊₄(C₂²⋊SD₁₆) = D₁₀⋊₆SD₁₆	φ: C₂²⋊SD₁₆/C₂×SD₁₆ → C₂ ⊆ Aut C₅	80		C5:4(C2^2:SD16)	320,796
C₅⋊₅(C₂²⋊SD₁₆) = (C₅×D₄).₃₁D₄	φ: C₂²⋊SD₁₆/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^2:SD16)	320,845

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁