Extensions 1→N→G→Q→1 with N=C₅₅ and Q=C₄

Direct product G=N×Q with N=C₅₅ and Q=C₄

		d	ρ	Label	ID
C₂₂₀		220	1	C220	220,6

Semidirect products G=N:Q with N=C₅₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₅⋊₁C₄ = C₁₁⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅₅	55	4	C55:1C4	220,10
C₅₅⋊₂C₄ = C₁₁×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅₅	55	4	C55:2C4	220,9
C₅₅⋊₃C₄ = Dic₅₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅₅	220	2-	C55:3C4	220,5
C₅₅⋊₄C₄ = C₅×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₅₅	220	2	C55:4C4	220,4
C₅₅⋊₅C₄ = C₁₁×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅₅	220	2	C55:5C4	220,3

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