Extensions 1→N→G→Q→1 with N=C₃×F₇ and Q=C₃

Direct product G=N×Q with N=C₃×F₇ and Q=C₃

		d	ρ	Label	ID
C₃²×F₇		63		C3^2xF7	378,47

Semidirect products G=N:Q with N=C₃×F₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×F₇)⋊C₃ = D₇⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×F₇	63	6	(C3xF7):C3	378,12

Non-split extensions G=N.Q with N=C₃×F₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×F₇).₁C₃ = C₉⋊₃F₇	φ: C₃/C₁ → C₃ ⊆ Out C₃×F₇	63	6	(C3xF7).1C3	378,8
(C₃×F₇).₂C₃ = C₉⋊₄F₇	φ: C₃/C₁ → C₃ ⊆ Out C₃×F₇	63	6	(C3xF7).2C3	378,9
(C₃×F₇).₃C₃ = C₉×F₇	φ: trivial image	63	6	(C3xF7).3C3	378,7

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Extensions 1→N→G→Q→1 with N=C3×F7 and Q=C3