Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃xC₄oD₄

Direct product G=NxQ with N=C₇ and Q=C₃xC₄oD₄

		d	ρ	Label	ID
C₄oD₄xC₂₁		168	2	C4oD4xC21	336,207

Semidirect products G=N:Q with N=C₇ and Q=C₃xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₃xC₄oD₄) = D₂₈:₆C₆	φ: C₃xC₄oD₄/C₂xC₄ → C₆ ⊆ Aut C₇	56	6	C7:1(C3xC4oD4)	336,124
C₇:₂(C₃xC₄oD₄) = D₄:₂F₇	φ: C₃xC₄oD₄/D₄ → C₆ ⊆ Aut C₇	56	12-	C7:2(C3xC4oD4)	336,126
C₇:₃(C₃xC₄oD₄) = Q₈:₃F₇	φ: C₃xC₄oD₄/Q₈ → C₆ ⊆ Aut C₇	56	12+	C7:3(C3xC4oD4)	336,128
C₇:₄(C₃xC₄oD₄) = C₄oD₄xC₇:C₃	φ: C₃xC₄oD₄/C₄oD₄ → C₃ ⊆ Aut C₇	56	6	C7:4(C3xC4oD4)	336,167
C₇:₅(C₃xC₄oD₄) = C₃xC₄oD₂₈	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₇	168	2	C7:5(C3xC4oD4)	336,177
C₇:₆(C₃xC₄oD₄) = C₃xD₄:₂D₇	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₇	168	4	C7:6(C3xC4oD4)	336,179
C₇:₇(C₃xC₄oD₄) = C₃xQ₈:₂D₇	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₇	168	4	C7:7(C3xC4oD4)	336,181

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