Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₁₀

Direct product G=N×Q with N=C₁₆ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₁₆		160		D5xC2xC16	320,526

Semidirect products G=N:Q with N=C₁₆ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁D₁₀ = D₈₀⋊C₂	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	80	4+	C16:1D10	320,535
C₁₆⋊₂D₁₀ = D₁₆⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	80	4	C16:2D10	320,538
C₁₆⋊₃D₁₀ = C₁₆⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	80	4+	C16:3D10	320,541
C₁₆⋊₄D₁₀ = D₅×D₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	80	4+	C16:4D10	320,537
C₁₆⋊₅D₁₀ = D₅×SD₃₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	80	4	C16:5D10	320,540
C₁₆⋊₆D₁₀ = D₅×M₅(2)	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	80	4	C16:6D10	320,533
C₁₆⋊₇D₁₀ = C₂×D₈₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:7D10	320,529
C₁₆⋊₈D₁₀ = C₂×C₁₆⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:8D10	320,530
C₁₆⋊₉D₁₀ = C₂×C₈₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:9D10	320,527

Non-split extensions G=N.Q with N=C₁₆ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁D₁₀ = C₁₆.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	160	4-	C16.1D10	320,536
C₁₆.₂D₁₀ = SD₃₂⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	160	4-	C16.2D10	320,542
C₁₆.₃D₁₀ = Q₃₂⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₆	160	4	C16.3D10	320,545
C₁₆.₄D₁₀ = C₅⋊D₃₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4+	C16.4D10	320,77
C₁₆.₅D₁₀ = D₁₆.D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4-	C16.5D10	320,78
C₁₆.₆D₁₀ = C₅⋊SD₆₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4+	C16.6D10	320,79
C₁₆.₇D₁₀ = C₅⋊Q₆₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	320	4-	C16.7D10	320,80
C₁₆.₈D₁₀ = D₁₆⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4-	C16.8D10	320,539
C₁₆.₉D₁₀ = D₅×Q₃₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4-	C16.9D10	320,544
C₁₆.₁₀D₁₀ = D₈₀⋊₅C₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4+	C16.10D10	320,546
C₁₆.₁₁D₁₀ = SD₃₂⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4	C16.11D10	320,543
C₁₆.₁₂D₁₀ = D₂₀.₅C₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₆	160	4	C16.12D10	320,534
C₁₆.₁₃D₁₀ = D₁₆₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2+	C16.13D10	320,6
C₁₆.₁₄D₁₀ = C₁₆₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.14D10	320,7
C₁₆.₁₅D₁₀ = Dic₈₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	320	2-	C16.15D10	320,8
C₁₆.₁₆D₁₀ = D₈₀⋊₇C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.16D10	320,531
C₁₆.₁₇D₁₀ = C₂×Dic₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16.17D10	320,532
C₁₆.₁₈D₁₀ = D₂₀.₆C₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.18D10	320,528
C₁₆.₁₉D₁₀ = D₅×C₃₂	central extension (φ=1)	160	2	C16.19D10	320,4
C₁₆.₂₀D₁₀ = C₃₂⋊D₅	central extension (φ=1)	160	2	C16.20D10	320,5
C₁₆.₂₁D₁₀ = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		C16.21D10	320,56
C₁₆.₂₂D₁₀ = C₈₀.₉C₄	central extension (φ=1)	160	2	C16.22D10	320,57

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Extensions 1→N→G→Q→1 with N=C16 and Q=D10

Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₁₀