Extensions 1→N→G→Q→1 with N=C₄² and Q=C₁₀

Direct product G=N×Q with N=C₄² and Q=C₁₀

		d	ρ	Label	ID
C₂×C₄×C₂₀		160		C2xC4xC20	160,175

Semidirect products G=N:Q with N=C₄² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₁₀ = C₅×C₄²⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:1C10	160,178
C₄²⋊₂C₁₀ = C₅×C₄²⋊₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:2C10	160,187
C₄²⋊₃C₁₀ = C₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	40	2	C4^2:3C10	160,54
C₄²⋊₄C₁₀ = D₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:4C10	160,179
C₄²⋊₅C₁₀ = C₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:5C10	160,185
C₄²⋊₆C₁₀ = C₅×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:6C10	160,188

Non-split extensions G=N.Q with N=C₄² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₁₀ = C₅×C₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.1C10	160,47
C₄².₂C₁₀ = C₅×C₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.2C10	160,55
C₄².₃C₁₀ = Q₈×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.3C10	160,180
C₄².₄C₁₀ = C₅×C₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.4C10	160,186
C₄².₅C₁₀ = C₅×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.5C10	160,189

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