Extensions 1→N→G→Q→1 with N=C₉ and Q=F₇

Direct product G=N×Q with N=C₉ and Q=F₇

		d	ρ	Label	ID
C₉×F₇		63	6	C9xF7	378,7

Semidirect products G=N:Q with N=C₉ and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁F₇ = C₉⋊F₇	φ: F₇/C₇ → C₆ ⊆ Aut C₉	63	6+	C9:1F7	378,18
C₉⋊₂F₇ = C₉⋊₂F₇	φ: F₇/C₇ → C₆ ⊆ Aut C₉	63	6+	C9:2F7	378,19
C₉⋊₃F₇ = C₉⋊₃F₇	φ: F₇/D₇ → C₃ ⊆ Aut C₉	63	6	C9:3F7	378,8
C₉⋊₄F₇ = C₉⋊₄F₇	φ: F₇/D₇ → C₃ ⊆ Aut C₉	63	6	C9:4F7	378,9
C₉⋊₅F₇ = C₉⋊₅F₇	φ: F₇/C₇⋊C₃ → C₂ ⊆ Aut C₉	63	6+	C9:5F7	378,20

Non-split extensions G=N.Q with N=C₉ and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.F₇ = C₇⋊C₅₄	central extension (φ=1)	189	6	C9.F7	378,1

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Extensions 1→N→G→Q→1 with N=C9 and Q=F7