Extensions 1→N→G→Q→1 with N=C₆₉ and Q=C₆

Direct product G=N×Q with N=C₆₉ and Q=C₆

		d	ρ	Label	ID
C₃×C₁₃₈		414		C3xC138	414,10

Semidirect products G=N:Q with N=C₆₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₉⋊₁C₆ = C₃×D₆₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆₉	138	2	C69:1C6	414,7
C₆₉⋊₂C₆ = C₃²×D₂₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₉	207		C69:2C6	414,5
C₆₉⋊₃C₆ = S₃×C₆₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆₉	138	2	C69:3C6	414,6

Non-split extensions G=N.Q with N=C₆₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₉.C₆ = C₉×D₂₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₉	207	2	C69.C6	414,2

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Extensions 1→N→G→Q→1 with N=C69 and Q=C6