Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄○D₂₈

Direct product G=N×Q with N=C₃ and Q=C₄○D₂₈

		d	ρ	Label	ID
C₃×C₄○D₂₈		168	2	C3xC4oD28	336,177

Semidirect products G=N:Q with N=C₃ and Q=C₄○D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄○D₂₈) = D₈₄⋊C₂	φ: C₄○D₂₈/Dic₁₄ → C₂ ⊆ Aut C₃	168	4+	C3:1(C4oD28)	336,142
C₃⋊₂(C₄○D₂₈) = D₆.D₁₄	φ: C₄○D₂₈/C₄×D₇ → C₂ ⊆ Aut C₃	168	4	C3:2(C4oD28)	336,144
C₃⋊₃(C₄○D₂₈) = D₂₈⋊₅S₃	φ: C₄○D₂₈/D₂₈ → C₂ ⊆ Aut C₃	168	4-	C3:3(C4oD28)	336,138
C₃⋊₄(C₄○D₂₈) = Dic₇.D₆	φ: C₄○D₂₈/C₇⋊D₄ → C₂ ⊆ Aut C₃	168	4	C3:4(C4oD28)	336,152
C₃⋊₅(C₄○D₂₈) = D₈₄⋊₁₁C₂	φ: C₄○D₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₃	168	2	C3:5(C4oD28)	336,197

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