Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₂₀

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₂₀

		d	ρ	Label	ID
C₂×C₁₀×C₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₂₀

extension	φ:Q→Aut N	d	Label	ID
C₁₀⋊(C₂×C₂₀) = F₅×C₂×C₁₀	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80	C10:(C2xC20)	400,214
C₁₀⋊₂(C₂×C₂₀) = D₅×C₂×C₂₀	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Aut C₁₀	80	C10:2(C2xC20)	400,182
C₁₀⋊₃(C₂×C₂₀) = Dic₅×C₂×C₁₀	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	80	C10:3(C2xC20)	400,189

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₂₀) = C₅×D₅⋊C₈	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.1(C2xC20)	400,135
C₁₀.₂(C₂×C₂₀) = C₅×C₄.F₅	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.2(C2xC20)	400,136
C₁₀.₃(C₂×C₂₀) = C₂₀×F₅	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.3(C2xC20)	400,137
C₁₀.₄(C₂×C₂₀) = C₅×C₄⋊F₅	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.4(C2xC20)	400,138
C₁₀.₅(C₂×C₂₀) = C₁₀×C₅⋊C₈	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	80		C10.5(C2xC20)	400,139
C₁₀.₆(C₂×C₂₀) = C₅×C₂².F₅	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.6(C2xC20)	400,140
C₁₀.₇(C₂×C₂₀) = C₅×C₂²⋊F₅	φ: C₂×C₂₀/C₁₀ → C₄ ⊆ Aut C₁₀	40	4	C10.7(C2xC20)	400,141
C₁₀.₈(C₂×C₂₀) = D₅×C₄₀	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Aut C₁₀	80	2	C10.8(C2xC20)	400,76
C₁₀.₉(C₂×C₂₀) = C₅×C₈⋊D₅	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Aut C₁₀	80	2	C10.9(C2xC20)	400,77
C₁₀.₁₀(C₂×C₂₀) = C₅×C₁₀.D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Aut C₁₀	80		C10.10(C2xC20)	400,84
C₁₀.₁₁(C₂×C₂₀) = C₅×D₁₀⋊C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Aut C₁₀	80		C10.11(C2xC20)	400,86
C₁₀.₁₂(C₂×C₂₀) = C₁₀×C₅⋊₂C₈	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	80		C10.12(C2xC20)	400,81
C₁₀.₁₃(C₂×C₂₀) = C₅×C₄.Dic₅	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	40	2	C10.13(C2xC20)	400,82
C₁₀.₁₄(C₂×C₂₀) = Dic₅×C₂₀	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	80		C10.14(C2xC20)	400,83
C₁₀.₁₅(C₂×C₂₀) = C₅×C₄⋊Dic₅	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	80		C10.15(C2xC20)	400,85
C₁₀.₁₆(C₂×C₂₀) = C₅×C₂³.D₅	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Aut C₁₀	40		C10.16(C2xC20)	400,91
C₁₀.₁₇(C₂×C₂₀) = C₂²⋊C₄×C₂₅	central extension (φ=1)	200		C10.17(C2xC20)	400,21
C₁₀.₁₈(C₂×C₂₀) = C₄⋊C₄×C₂₅	central extension (φ=1)	400		C10.18(C2xC20)	400,22
C₁₀.₁₉(C₂×C₂₀) = M₄(2)×C₂₅	central extension (φ=1)	200	2	C10.19(C2xC20)	400,24
C₁₀.₂₀(C₂×C₂₀) = C₂²⋊C₄×C₅²	central extension (φ=1)	200		C10.20(C2xC20)	400,109
C₁₀.₂₁(C₂×C₂₀) = C₄⋊C₄×C₅²	central extension (φ=1)	400		C10.21(C2xC20)	400,110
C₁₀.₂₂(C₂×C₂₀) = M₄(2)×C₅²	central extension (φ=1)	200		C10.22(C2xC20)	400,112

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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C20

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₂₀