Extensions 1→N→G→Q→1 with N=C₆₅ and Q=C₆

Direct product G=N×Q with N=C₆₅ and Q=C₆

		d	ρ	Label	ID
C₃₉₀		390	1	C390	390,12

Semidirect products G=N:Q with N=C₆₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₅⋊₁C₆ = D₆₅⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆₅	65	6+	C65:1C6	390,3
C₆₅⋊₂C₆ = C₅×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆₅	65	6	C65:2C6	390,1
C₆₅⋊₃C₆ = D₅×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆₅	65	6	C65:3C6	390,2
C₆₅⋊₄C₆ = C₁₀×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆₅	130	3	C65:4C6	390,4
C₆₅⋊₅C₆ = C₃×D₆₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₅	195	2	C65:5C6	390,7
C₆₅⋊₆C₆ = C₁₅×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₅	195	2	C65:6C6	390,5
C₆₅⋊₇C₆ = D₅×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆₅	195	2	C65:7C6	390,6

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