Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xF₇

Direct product G=NxQ with N=C₃ and Q=C₃xF₇

		d	ρ	Label	ID
C₃²xF₇		63		C3^2xF7	378,47

Semidirect products G=N:Q with N=C₃ and Q=C₃xF₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃xF₇) = C₃xC₃:F₇	φ: C₃xF₇/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	42	6	C3:(C3xF7)	378,49

Non-split extensions G=N.Q with N=C₃ and Q=C₃xF₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xF₇) = C₉xF₇	central extension (φ=1)	63	6	C3.1(C3xF7)	378,7
C₃.₂(C₃xF₇) = C₃xC₇:C₁₈	central extension (φ=1)	189		C3.2(C3xF7)	378,10
C₃.₃(C₃xF₇) = C₉:₃F₇	central stem extension (φ=1)	63	6	C3.3(C3xF7)	378,8
C₃.₄(C₃xF₇) = C₉:₄F₇	central stem extension (φ=1)	63	6	C3.4(C3xF7)	378,9
C₃.₅(C₃xF₇) = C₃².F₇	central stem extension (φ=1)	63	6	C3.5(C3xF7)	378,11
C₃.₆(C₃xF₇) = D₇:He₃	central stem extension (φ=1)	63	6	C3.6(C3xF7)	378,12

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