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
Q₁₆×C₂×C₁₀		320		Q16xC2xC10	320,1573

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) = C₅×C₈.₁₈D₄	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(C5xQ16)	320,968
C₂²⋊₂(C₅×Q₁₆) = C₅×C₂²⋊Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2:2(C5xQ16)	320,952

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) = C₅×C₈.₄Q₈	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1(C5xQ16)	320,173
C₂².₂(C₅×Q₁₆) = C₅×C₂³.₃₁D₄	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	80		C2^2.2(C5xQ16)	320,133
C₂².₃(C₅×Q₁₆) = C₅×C₂³.₄₈D₄	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.3(C5xQ16)	320,985
C₂².₄(C₅×Q₁₆) = C₅×C₂².₄Q₁₆	central extension (φ=1)	320		C2^2.4(C5xQ16)	320,145
C₂².₅(C₅×Q₁₆) = C₁₀×Q₈⋊C₄	central extension (φ=1)	320		C2^2.5(C5xQ16)	320,916
C₂².₆(C₅×Q₁₆) = C₁₀×C₂.D₈	central extension (φ=1)	320		C2^2.6(C5xQ16)	320,927

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