Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×SD₁₆

Direct product G=N×Q with N=C₇ and Q=C₃×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂₁		168	2	SD16xC21	336,112

Semidirect products G=N:Q with N=C₇ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×SD₁₆) = C₅₆⋊C₆	φ: C₃×SD₁₆/C₈ → C₆ ⊆ Aut C₇	56	6	C7:1(C3xSD16)	336,9
C₇⋊₂(C₃×SD₁₆) = D₄.F₇	φ: C₃×SD₁₆/D₄ → C₆ ⊆ Aut C₇	56	12-	C7:2(C3xSD16)	336,19
C₇⋊₃(C₃×SD₁₆) = Q₈⋊₂F₇	φ: C₃×SD₁₆/Q₈ → C₆ ⊆ Aut C₇	56	12+	C7:3(C3xSD16)	336,20
C₇⋊₄(C₃×SD₁₆) = SD₁₆×C₇⋊C₃	φ: C₃×SD₁₆/SD₁₆ → C₃ ⊆ Aut C₇	56	6	C7:4(C3xSD16)	336,54
C₇⋊₅(C₃×SD₁₆) = C₃×C₅₆⋊C₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:5(C3xSD16)	336,60
C₇⋊₆(C₃×SD₁₆) = C₃×D₄.D₇	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₇	168	4	C7:6(C3xSD16)	336,70
C₇⋊₇(C₃×SD₁₆) = C₃×Q₈⋊D₇	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₇	168	4	C7:7(C3xSD16)	336,71

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