Extensions 1→N→G→Q→1 with N=C₄² and Q=D₅

Direct product G=N×Q with N=C₄² and Q=D₅

		d	ρ	Label	ID
D₅×C₄²		80		D5xC4^2	160,92

Semidirect products G=N:Q with N=C₄² and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁D₅ = C₄²⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:1D5	160,93
C₄²⋊₂D₅ = C₄²⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:2D5	160,97
C₄²⋊₃D₅ = D₂₀⋊₄C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	40	2	C4^2:3D5	160,12
C₄²⋊₄D₅ = C₄×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:4D5	160,94
C₄²⋊₅D₅ = C₂₀⋊₄D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:5D5	160,95
C₄²⋊₆D₅ = C₄.D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	80		C4^2:6D5	160,96

Non-split extensions G=N.Q with N=C₄² and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₅ = C₄².D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.1D5	160,10
C₄².₂D₅ = C₂₀⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.2D5	160,11
C₄².₃D₅ = C₄×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.3D5	160,89
C₄².₄D₅ = C₂₀⋊₂Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.4D5	160,90
C₄².₅D₅ = C₂₀.₆Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄²	160		C4^2.5D5	160,91
C₄².₆D₅ = C₄×C₅⋊₂C₈	central extension (φ=1)	160		C4^2.6D5	160,9

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