Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅₅

Direct product G=N×Q with N=C₄ and Q=D₅₅

		d	ρ	Label	ID
C₄×D₅₅		220	2	C4xD55	440,35

Semidirect products G=N:Q with N=C₄ and Q=D₅₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₅₅ = D₂₂₀	φ: D₅₅/C₅₅ → C₂ ⊆ Aut C₄	220	2+	C4:D55	440,36

Non-split extensions G=N.Q with N=C₄ and Q=D₅₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₅₅ = Dic₁₁₀	φ: D₅₅/C₅₅ → C₂ ⊆ Aut C₄	440	2-	C4.D55	440,34
C₄.₂D₅₅ = C₅₅⋊₃C₈	central extension (φ=1)	440	2	C4.2D55	440,5

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Extensions 1→N→G→Q→1 with N=C4 and Q=D55