Extensions 1→N→G→Q→1 with N=C₆₅ and Q=C₄

Direct product G=N×Q with N=C₆₅ and Q=C₄

		d	ρ	Label	ID
C₂₆₀		260	1	C260	260,4

Semidirect products G=N:Q with N=C₆₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₅⋊₁C₄ = C₁₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4+	C65:1C4	260,9
C₆₅⋊₂C₄ = C₆₅⋊₂C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4+	C65:2C4	260,10
C₆₅⋊₃C₄ = C₆₅⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4	C65:3C4	260,6
C₆₅⋊₄C₄ = C₁₃⋊₃F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4	C65:4C4	260,8
C₆₅⋊₅C₄ = C₅×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4	C65:5C4	260,5
C₆₅⋊₆C₄ = C₁₃×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₆₅	65	4	C65:6C4	260,7
C₆₅⋊₇C₄ = Dic₆₅	φ: C₄/C₂ → C₂ ⊆ Aut C₆₅	260	2-	C65:7C4	260,3
C₆₅⋊₈C₄ = C₅×Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆₅	260	2	C65:8C4	260,2
C₆₅⋊₉C₄ = C₁₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₆₅	260	2	C65:9C4	260,1

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