Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₅

Direct product G=N×Q with N=C₂₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₂₈		140	2	D5xC28	280,20

Semidirect products G=N:Q with N=C₂₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁D₅ = D₁₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	140	2+	C28:1D5	280,26
C₂₈⋊₂D₅ = C₄×D₃₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	140	2	C28:2D5	280,25
C₂₈⋊₃D₅ = C₇×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	140	2	C28:3D5	280,21

Non-split extensions G=N.Q with N=C₂₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁D₅ = Dic₇₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	280	2-	C28.1D5	280,24
C₂₈.₂D₅ = C₃₅⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	280	2	C28.2D5	280,3
C₂₈.₃D₅ = C₇×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₈	280	2	C28.3D5	280,19
C₂₈.₄D₅ = C₇×C₅⋊₂C₈	central extension (φ=1)	280	2	C28.4D5	280,1

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