Extensions 1→N→G→Q→1 with N=C₇ and Q=F₇

Direct product G=N×Q with N=C₇ and Q=F₇

		d	ρ	Label	ID
C₇×F₇		42	6	C7xF7	294,8

Semidirect products G=N:Q with N=C₇ and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁F₇ = C₇⋊F₇	φ: F₇/C₇ → C₆ ⊆ Aut C₇	49		C7:1F7	294,13
C₇⋊₂F₇ = C₇²⋊C₆	φ: F₇/C₇ → C₆ ⊆ Aut C₇	21	6+	C7:2F7	294,14
C₇⋊₃F₇ = C₇⋊₃F₇	φ: F₇/D₇ → C₃ ⊆ Aut C₇	42	6	C7:3F7	294,11
C₇⋊₄F₇ = C₇⋊₄F₇	φ: F₇/D₇ → C₃ ⊆ Aut C₇	14	6	C7:4F7	294,12
C₇⋊₅F₇ = C₇⋊₅F₇	φ: F₇/C₇⋊C₃ → C₂ ⊆ Aut C₇	21	6+	C7:5F7	294,10

Non-split extensions G=N.Q with N=C₇ and Q=F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.F₇ = C₄₉⋊C₆	φ: F₇/C₇ → C₆ ⊆ Aut C₇	49	6+	C7.F7	294,1

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Extensions 1→N→G→Q→1 with N=C7 and Q=F7