Extensions 1→N→G→Q→1 with N=C₆ and Q=F₉

Direct product G=N×Q with N=C₆ and Q=F₉

		d	ρ	Label	ID
C₆×F₉		48	8	C6xF9	432,751

Semidirect products G=N:Q with N=C₆ and Q=F₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊F₉ = C₂×C₃⋊F₉	φ: F₉/C₃²⋊C₄ → C₂ ⊆ Aut C₆	48	8	C6:F9	432,752

Non-split extensions G=N.Q with N=C₆ and Q=F₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁F₉ = He₃⋊C₁₆	φ: F₉/C₃²⋊C₄ → C₂ ⊆ Aut C₆	144	6	C6.1F9	432,233
C₆.₂F₉ = C₂×He₃⋊C₈	φ: F₉/C₃²⋊C₄ → C₂ ⊆ Aut C₆	54	6+	C6.2F9	432,529
C₆.₃F₉ = C₆.F₉	φ: F₉/C₃²⋊C₄ → C₂ ⊆ Aut C₆	48	8	C6.3F9	432,566
C₆.₄F₉ = C₃×C₂.F₉	central extension (φ=1)	48	8	C6.4F9	432,565

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Extensions 1→N→G→Q→1 with N=C6 and Q=F9