Extensions 1→N→G→Q→1 with N=C₇ and Q=C₆×Q₈

Direct product G=N×Q with N=C₇ and Q=C₆×Q₈

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₇ and Q=C₆×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₆×Q₈) = C₂×C₄.F₇	φ: C₆×Q₈/C₂×C₄ → C₆ ⊆ Aut C₇	112		C7:1(C6xQ8)	336,121
C₇⋊₂(C₆×Q₈) = Q₈×F₇	φ: C₆×Q₈/Q₈ → C₆ ⊆ Aut C₇	56	12-	C7:2(C6xQ8)	336,127
C₇⋊₃(C₆×Q₈) = C₂×Q₈×C₇⋊C₃	φ: C₆×Q₈/C₂×Q₈ → C₃ ⊆ Aut C₇	112		C7:3(C6xQ8)	336,166
C₇⋊₄(C₆×Q₈) = C₆×Dic₁₄	φ: C₆×Q₈/C₂×C₁₂ → C₂ ⊆ Aut C₇	336		C7:4(C6xQ8)	336,174
C₇⋊₅(C₆×Q₈) = C₃×Q₈×D₇	φ: C₆×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₇	168	4	C7:5(C6xQ8)	336,180

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