Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₅

Direct product G=N×Q with N=C₈ and Q=D₂₅

		d	ρ	Label	ID
C₈×D₂₅		200	2	C8xD25	400,5

Semidirect products G=N:Q with N=C₈ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₂₅ = D₂₀₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₈	200	2+	C8:1D25	400,8
C₈⋊₂D₂₅ = C₂₀₀⋊C₂	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₈	200	2	C8:2D25	400,7
C₈⋊₃D₂₅ = C₈⋊D₂₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₈	200	2	C8:3D25	400,6

Non-split extensions G=N.Q with N=C₈ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₂₅ = Dic₁₀₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₈	400	2-	C8.D25	400,4
C₈.₂D₂₅ = C₂₅⋊₂C₁₆	central extension (φ=1)	400	2	C8.2D25	400,1

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Extensions 1→N→G→Q→1 with N=C8 and Q=D25