Extensions 1→N→G→Q→1 with N=C₂₂ and Q=F₅

Direct product G=N×Q with N=C₂₂ and Q=F₅

		d	ρ	Label	ID
F₅×C₂₂		110	4	F5xC22	440,45

Semidirect products G=N:Q with N=C₂₂ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊F₅ = C₂×C₁₁⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₂	110	4	C22:F5	440,46

Non-split extensions G=N.Q with N=C₂₂ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.F₅ = C₅₅⋊C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂₂	440	4	C22.F5	440,16
C₂₂.₂F₅ = C₁₁×C₅⋊C₈	central extension (φ=1)	440	4	C22.2F5	440,15

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Extensions 1→N→G→Q→1 with N=C22 and Q=F5