Extensions 1→N→G→Q→1 with N=C₅₅ and Q=C₅

Direct product G=N×Q with N=C₅₅ and Q=C₅

		d	ρ	Label	ID
C₅×C₅₅		275		C5xC55	275,4

Semidirect products G=N:Q with N=C₅₅ and Q=C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₅⋊C₅ = C₅×C₁₁⋊C₅	φ: C₅/C₁ → C₅ ⊆ Aut C₅₅	55	5	C55:C5	275,3

Non-split extensions G=N.Q with N=C₅₅ and Q=C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₅.C₅ = C₁₁⋊C₂₅	φ: C₅/C₁ → C₅ ⊆ Aut C₅₅	275	5	C55.C5	275,1

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Extensions 1→N→G→Q→1 with N=C55 and Q=C5