Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×Q₁₆

Direct product G=N×Q with N=C₄ and Q=C₅×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₀		320		Q16xC20	320,940

Semidirect products G=N:Q with N=C₄ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₅×Q₁₆) = C₅×C₄⋊Q₁₆	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4:1(C5xQ16)	320,995
C₄⋊₂(C₅×Q₁₆) = C₅×C₄⋊₂Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4:2(C5xQ16)	320,963

Non-split extensions G=N.Q with N=C₄ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₅×Q₁₆) = C₅×C₁₆⋊₃C₄	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4.1(C5xQ16)	320,171
C₄.₂(C₅×Q₁₆) = C₅×C₁₆⋊₄C₄	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4.2(C5xQ16)	320,172
C₄.₃(C₅×Q₁₆) = C₅×C₄.SD₁₆	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4.3(C5xQ16)	320,988
C₄.₄(C₅×Q₁₆) = C₅×C₈⋊₂Q₈	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4.4(C5xQ16)	320,1001
C₄.₅(C₅×Q₁₆) = C₅×C₄.₁₀D₈	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4.5(C5xQ16)	320,137
C₄.₆(C₅×Q₁₆) = C₅×C₄.₆Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4.6(C5xQ16)	320,138
C₄.₇(C₅×Q₁₆) = C₅×C₄.Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4.7(C5xQ16)	320,978
C₄.₈(C₅×Q₁₆) = C₅×Q₈⋊C₈	central extension (φ=1)	320		C4.8(C5xQ16)	320,131
C₄.₉(C₅×Q₁₆) = C₅×C₈⋊₁C₈	central extension (φ=1)	320		C4.9(C5xQ16)	320,140

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