Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×D₇

Direct product G=N×Q with N=C₃ and Q=C₃²×D₇

		d	ρ	Label	ID
D₇×C₃³		189		D7xC3^3	378,53

Semidirect products G=N:Q with N=C₃ and Q=C₃²×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²×D₇) = C₃²×D₂₁	φ: C₃²×D₇/C₃×C₂₁ → C₂ ⊆ Aut C₃	126		C3:(C3^2xD7)	378,55

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×D₇) = D₇×C₃×C₉	central extension (φ=1)	189		C3.1(C3^2xD7)	378,29
C₃.₂(C₃²×D₇) = D₇×He₃	central stem extension (φ=1)	63	6	C3.2(C3^2xD7)	378,30
C₃.₃(C₃²×D₇) = D₇×3_-¹⁺²	central stem extension (φ=1)	63	6	C3.3(C3^2xD7)	378,31

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32×D7