Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₂₁

Direct product G=N×Q with N=C₃ and Q=C₃×D₂₁

		d	ρ	Label	ID
C₃²×D₂₁		126		C3^2xD21	378,55

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×D₂₁) = C₃×C₃⋊D₂₁	φ: C₃×D₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	126		C3:(C3xD21)	378,57

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₂₁) = C₃×D₆₃	φ: C₃×D₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	126	2	C3.1(C3xD21)	378,36
C₃.₂(C₃×D₂₁) = He₃⋊D₇	φ: C₃×D₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	63	6+	C3.2(C3xD21)	378,38
C₃.₃(C₃×D₂₁) = D₆₃⋊C₃	φ: C₃×D₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	63	6+	C3.3(C3xD21)	378,39
C₃.₄(C₃×D₂₁) = C₉×D₂₁	central extension (φ=1)	126	2	C3.4(C3xD21)	378,37

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