Extensions 1→N→G→Q→1 with N=C₆₃ and Q=C₃

Direct product G=N×Q with N=C₆₃ and Q=C₃

		d	ρ	Label	ID
C₃×C₆₃		189		C3xC63	189,9

Semidirect products G=N:Q with N=C₆₃ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₃⋊₁C₃ = C₉×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆₃	63	3	C63:1C3	189,3
C₆₃⋊₂C₃ = C₆₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆₃	63	3	C63:2C3	189,4
C₆₃⋊₃C₃ = C₆₃⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆₃	63	3	C63:3C3	189,5
C₆₃⋊₄C₃ = C₇×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₆₃	63	3	C63:4C3	189,11

Non-split extensions G=N.Q with N=C₆₃ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₃.C₃ = C₇⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₆₃	189	3	C63.C3	189,1

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Extensions 1→N→G→Q→1 with N=C63 and Q=C3