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

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

		d	ρ	Label	ID
C₂²×C₅⋊Q₁₆		320		C2^2xC5:Q16	320,1481

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₅⋊Q₁₆) = (C₂×C₁₀)⋊Q₁₆	φ: C₅⋊Q₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(C5:Q16)	320,678
C₂²⋊₂(C₅⋊Q₁₆) = Dic₁₀.₃₇D₄	φ: C₅⋊Q₁₆/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(C5:Q16)	320,677
C₂²⋊₃(C₅⋊Q₁₆) = (C₂×C₁₀)⋊₈Q₁₆	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2:3(C5:Q16)	320,855

Non-split extensions G=N.Q with N=C₂² and Q=C₅⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅⋊Q₁₆) = C₄₀.₇Q₈	φ: C₅⋊Q₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(C5:Q16)	320,51
C₂².₂(C₅⋊Q₁₆) = C₁₀.₂₉C₄≀C₂	φ: C₅⋊Q₁₆/Dic₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.2(C5:Q16)	320,96
C₂².₃(C₅⋊Q₁₆) = (C₂×C₁₀).Q₁₆	φ: C₅⋊Q₁₆/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(C5:Q16)	320,671
C₂².₄(C₅⋊Q₁₆) = C₄⋊Dic₅⋊C₄	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	80		C2^2.4(C5:Q16)	320,10
C₂².₅(C₅⋊Q₁₆) = C₄⋊C₄.₂₃₀D₁₀	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.5(C5:Q16)	320,597
C₂².₆(C₅⋊Q₁₆) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2^2.6(C5:Q16)	320,87
C₂².₇(C₅⋊Q₁₆) = C₂×C₁₀.D₈	central extension (φ=1)	320		C2^2.7(C5:Q16)	320,589
C₂².₈(C₅⋊Q₁₆) = C₂×C₁₀.Q₁₆	central extension (φ=1)	320		C2^2.8(C5:Q16)	320,596
C₂².₉(C₅⋊Q₁₆) = C₂×Q₈⋊Dic₅	central extension (φ=1)	320		C2^2.9(C5:Q16)	320,851

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