Extensions 1→N→G→Q→1 with N=C₃² and Q=F₇

Direct product G=NxQ with N=C₃² and Q=F₇

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

Semidirect products G=N:Q with N=C₃² and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:F₇ = C₃²:F₇	φ: F₇/C₇ → C₆ ⊆ Aut C₃²	63	6+	C3^2:F7	378,22
C₃²:₂F₇ = D₇:He₃	φ: F₇/D₇ → C₃ ⊆ Aut C₃²	63	6	C3^2:2F7	378,12
C₃²:₃F₇ = C₃xC₃:F₇	φ: F₇/C₇:C₃ → C₂ ⊆ Aut C₃²	42	6	C3^2:3F7	378,49
C₃²:₄F₇ = C₃²:₄F₇	φ: F₇/C₇:C₃ → C₂ ⊆ Aut C₃²	63		C3^2:4F7	378,51

Non-split extensions G=N.Q with N=C₃² and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².F₇ = C₃².F₇	φ: F₇/D₇ → C₃ ⊆ Aut C₃²	63	6	C3^2.F7	378,11
C₃².₂F₇ = D₂₁:C₉	φ: F₇/C₇:C₃ → C₂ ⊆ Aut C₃²	126	6	C3^2.2F7	378,21
C₃².₃F₇ = C₃xC₇:C₁₈	central extension (φ=1)	189		C3^2.3F7	378,10

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