Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₀²

Direct product G=N×Q with N=C₄ and Q=C₁₀²

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

Semidirect products G=N:Q with N=C₄ and Q=C₁₀²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₁₀² = D₄×C₅×C₁₀	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	200		C4:C10^2	400,202

Non-split extensions G=N.Q with N=C₄ and Q=C₁₀²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁C₁₀² = D₈×C₅²	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	200		C4.1C10^2	400,113
C₄.₂C₁₀² = SD₁₆×C₅²	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	200		C4.2C10^2	400,114
C₄.₃C₁₀² = Q₁₆×C₅²	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	400		C4.3C10^2	400,115
C₄.₄C₁₀² = Q₈×C₅×C₁₀	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	400		C4.4C10^2	400,203
C₄.₅C₁₀² = C₄○D₄×C₅²	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₄	200		C4.5C10^2	400,204
C₄.₆C₁₀² = M₄(2)×C₅²	central extension (φ=1)	200		C4.6C10^2	400,112

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