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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₇)⋊₁C₃ = D₇×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	63	6	(C3^2xD7):1C3	378,30
(C₃²×D₇)⋊₂C₃ = D₇⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	63	6	(C3^2xD7):2C3	378,12
(C₃²×D₇)⋊₃C₃ = C₃²×F₇	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	63		(C3^2xD7):3C3	378,47

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₇).₁C₃ = D₇×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	63	6	(C3^2xD7).1C3	378,31
(C₃²×D₇).₂C₃ = C₃×C₇⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	189		(C3^2xD7).2C3	378,10
(C₃²×D₇).₃C₃ = C₃².F₇	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₇	63	6	(C3^2xD7).3C3	378,11
(C₃²×D₇).₄C₃ = D₇×C₃×C₉	φ: trivial image	189		(C3^2xD7).4C3	378,29

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