Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xD₇

Direct product G=NxQ with N=C₃² and Q=C₃xD₇

		d	ρ	Label	ID
D₇xC₃³		189		D7xC3^3	378,53

Semidirect products G=N:Q with N=C₃² and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₃xD₇) = He₃:D₇	φ: C₃xD₇/C₇ → C₆ ⊆ Aut C₃²	63	6+	C3^2:(C3xD7)	378,38
C₃²:₂(C₃xD₇) = D₇xHe₃	φ: C₃xD₇/D₇ → C₃ ⊆ Aut C₃²	63	6	C3^2:2(C3xD7)	378,30
C₃²:₃(C₃xD₇) = C₃²xD₂₁	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:3(C3xD7)	378,55
C₃²:₄(C₃xD₇) = C₃xC₃:D₂₁	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:4(C3xD7)	378,57

Non-split extensions G=N.Q with N=C₃² and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃xD₇) = D₇x3_-¹⁺²	φ: C₃xD₇/D₇ → C₃ ⊆ Aut C₃²	63	6	C3^2.(C3xD7)	378,31
C₃².₂(C₃xD₇) = C₉xD₂₁	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₃²	126	2	C3^2.2(C3xD7)	378,37
C₃².₃(C₃xD₇) = D₇xC₃xC₉	central extension (φ=1)	189		C3^2.3(C3xD7)	378,29

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