Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊Q₁₆

Direct product G=N×Q with N=C₅ and Q=C₂²⋊Q₁₆

		d	ρ	Label	ID
C₅×C₂²⋊Q₁₆		160		C5xC2^2:Q16	320,952

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²⋊Q₁₆) = C₂²⋊Dic₂₀	φ: C₂²⋊Q₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:1(C2^2:Q16)	320,366
C₅⋊₂(C₂²⋊Q₁₆) = D₁₀⋊₄Q₁₆	φ: C₂²⋊Q₁₆/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^2:Q16)	320,435
C₅⋊₃(C₂²⋊Q₁₆) = Dic₁₀.₃₇D₄	φ: C₂²⋊Q₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^2:Q16)	320,677
C₅⋊₄(C₂²⋊Q₁₆) = D₁₀⋊₅Q₁₆	φ: C₂²⋊Q₁₆/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160		C5:4(C2^2:Q16)	320,813
C₅⋊₅(C₂²⋊Q₁₆) = (C₂×C₁₀)⋊₈Q₁₆	φ: C₂²⋊Q₁₆/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C2^2:Q16)	320,855

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁