Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₇⋊C₃

Direct product G=N×Q with N=C₇ and Q=C₂×C₇⋊C₃

		d	ρ	Label	ID
C₁₄×C₇⋊C₃		42	3	C14xC7:C3	294,15

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₇⋊C₃) = C₇⋊₃F₇	φ: C₂×C₇⋊C₃/C₇ → C₆ ⊆ Aut C₇	42	6	C7:1(C2xC7:C3)	294,11
C₇⋊₂(C₂×C₇⋊C₃) = C₇⋊₄F₇	φ: C₂×C₇⋊C₃/C₇ → C₆ ⊆ Aut C₇	14	6	C7:2(C2xC7:C3)	294,12
C₇⋊₃(C₂×C₇⋊C₃) = C₂×C₇²⋊C₃	φ: C₂×C₇⋊C₃/C₁₄ → C₃ ⊆ Aut C₇	98		C7:3(C2xC7:C3)	294,16
C₇⋊₄(C₂×C₇⋊C₃) = C₂×C₇²⋊₃C₃	φ: C₂×C₇⋊C₃/C₁₄ → C₃ ⊆ Aut C₇	42	3	C7:4(C2xC7:C3)	294,17
C₇⋊₅(C₂×C₇⋊C₃) = D₇×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₇	42	6	C7:5(C2xC7:C3)	294,9

Non-split extensions G=N.Q with N=C₇ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₂×C₇⋊C₃) = C₂×C₄₉⋊C₃	φ: C₂×C₇⋊C₃/C₁₄ → C₃ ⊆ Aut C₇	98	3	C7.(C2xC7:C3)	294,2

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