Extensions 1→N→G→Q→1 with N=C₆ and Q=F₅

Direct product G=N×Q with N=C₆ and Q=F₅

		d	ρ	Label	ID
C₆×F₅		30	4	C6xF5	120,40

Semidirect products G=N:Q with N=C₆ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊F₅ = C₂×C₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₆	30	4	C6:F5	120,41

Non-split extensions G=N.Q with N=C₆ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.F₅ = C₁₅⋊C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₆	120	4	C6.F5	120,7
C₆.₂F₅ = C₃×C₅⋊C₈	central extension (φ=1)	120	4	C6.2F5	120,6

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Extensions 1→N→G→Q→1 with N=C6 and Q=F5