Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²xD₇

Direct product G=NxQ with N=C₃ and Q=C₃²xD₇

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

Semidirect products G=N:Q with N=C₃ and Q=C₃²xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃²xD₇) = C₃²xD₂₁	φ: C₃²xD₇/C₃xC₂₁ → C₂ ⊆ Aut C₃	126		C3:(C3^2xD7)	378,55

Non-split extensions G=N.Q with N=C₃ and Q=C₃²xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²xD₇) = D₇xC₃xC₉	central extension (φ=1)	189		C3.1(C3^2xD7)	378,29
C₃.₂(C₃²xD₇) = D₇xHe₃	central stem extension (φ=1)	63	6	C3.2(C3^2xD7)	378,30
C₃.₃(C₃²xD₇) = D₇x3_-¹⁺²	central stem extension (φ=1)	63	6	C3.3(C3^2xD7)	378,31

Extensions 1→N→G→Q→1 with N=C3 and Q=C32xD7