Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×Q₁₆

Direct product G=N×Q with N=C₇ and Q=C₃×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₁		336	2	Q16xC21	336,113

Semidirect products G=N:Q with N=C₇ and Q=C₃×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×Q₁₆) = C₈.F₇	φ: C₃×Q₁₆/C₈ → C₆ ⊆ Aut C₇	112	6-	C7:1(C3xQ16)	336,11
C₇⋊₂(C₃×Q₁₆) = Q₈.₂F₇	φ: C₃×Q₁₆/Q₈ → C₆ ⊆ Aut C₇	112	12-	C7:2(C3xQ16)	336,21
C₇⋊₃(C₃×Q₁₆) = Q₁₆×C₇⋊C₃	φ: C₃×Q₁₆/Q₁₆ → C₃ ⊆ Aut C₇	112	6	C7:3(C3xQ16)	336,55
C₇⋊₄(C₃×Q₁₆) = C₃×Dic₂₈	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₇	336	2	C7:4(C3xQ16)	336,62
C₇⋊₅(C₃×Q₁₆) = C₃×C₇⋊Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₇	336	4	C7:5(C3xQ16)	336,72

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