Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₂₀ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂xC₁₀xC₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₂₀ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀:(C₂xC₁₀) = C₅xD₄xD₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20:(C2xC10)	400,185
C₂₀:₂(C₂xC₁₀) = C₁₀xD₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:2(C2xC10)	400,183
C₂₀:₃(C₂xC₁₀) = D₅xC₂xC₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:3(C2xC10)	400,182
C₂₀:₄(C₂xC₁₀) = D₄xC₅xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20:4(C2xC10)	400,202

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₂xC₁₀) = C₅xD₄:D₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20.1(C2xC10)	400,87
C₂₀.₂(C₂xC₁₀) = C₅xD₄.D₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20.2(C2xC10)	400,88
C₂₀.₃(C₂xC₁₀) = C₅xQ₈:D₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.3(C2xC10)	400,89
C₂₀.₄(C₂xC₁₀) = C₅xC₅:Q₁₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.4(C2xC10)	400,90
C₂₀.₅(C₂xC₁₀) = C₅xD₄:₂D₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20.5(C2xC10)	400,186
C₂₀.₆(C₂xC₁₀) = C₅xQ₈xD₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.6(C2xC10)	400,187
C₂₀.₇(C₂xC₁₀) = C₅xQ₈:₂D₅	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.7(C2xC10)	400,188
C₂₀.₈(C₂xC₁₀) = C₅xC₄₀:C₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.8(C2xC10)	400,78
C₂₀.₉(C₂xC₁₀) = C₅xD₄₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.9(C2xC10)	400,79
C₂₀.₁₀(C₂xC₁₀) = C₅xDic₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.10(C2xC10)	400,80
C₂₀.₁₁(C₂xC₁₀) = C₁₀xDic₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20.11(C2xC10)	400,181
C₂₀.₁₂(C₂xC₁₀) = C₅xC₄oD₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	40	2	C20.12(C2xC10)	400,184
C₂₀.₁₃(C₂xC₁₀) = D₅xC₄₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.13(C2xC10)	400,76
C₂₀.₁₄(C₂xC₁₀) = C₅xC₈:D₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.14(C2xC10)	400,77
C₂₀.₁₅(C₂xC₁₀) = C₁₀xC₅:₂C₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20.15(C2xC10)	400,81
C₂₀.₁₆(C₂xC₁₀) = C₅xC₄.Dic₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	40	2	C20.16(C2xC10)	400,82
C₂₀.₁₇(C₂xC₁₀) = D₈xC₂₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.17(C2xC10)	400,25
C₂₀.₁₈(C₂xC₁₀) = SD₁₆xC₂₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.18(C2xC10)	400,26
C₂₀.₁₉(C₂xC₁₀) = Q₁₆xC₂₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400	2	C20.19(C2xC10)	400,27
C₂₀.₂₀(C₂xC₁₀) = D₄xC₅₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.20(C2xC10)	400,46
C₂₀.₂₁(C₂xC₁₀) = Q₈xC₅₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.21(C2xC10)	400,47
C₂₀.₂₂(C₂xC₁₀) = C₄oD₄xC₂₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.22(C2xC10)	400,48
C₂₀.₂₃(C₂xC₁₀) = D₈xC₅²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.23(C2xC10)	400,113
C₂₀.₂₄(C₂xC₁₀) = SD₁₆xC₅²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.24(C2xC10)	400,114
C₂₀.₂₅(C₂xC₁₀) = Q₁₆xC₅²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.25(C2xC10)	400,115
C₂₀.₂₆(C₂xC₁₀) = Q₈xC₅xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.26(C2xC10)	400,203
C₂₀.₂₇(C₂xC₁₀) = C₄oD₄xC₅²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.27(C2xC10)	400,204
C₂₀.₂₈(C₂xC₁₀) = M₄(2)xC₂₅	central extension (φ=1)	200	2	C20.28(C2xC10)	400,24
C₂₀.₂₉(C₂xC₁₀) = M₄(2)xC₅²	central extension (φ=1)	200		C20.29(C2xC10)	400,112

Extensions 1→N→G→Q→1 with N=C20 and Q=C2xC10

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₁₀