Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇×M₄(2)

Direct product G=N×Q with N=C₃ and Q=C₇×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₁		168	2	M4(2)xC21	336,110

Semidirect products G=N:Q with N=C₃ and Q=C₇×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇×M₄(2)) = C₇×C₈⋊S₃	φ: C₇×M₄(2)/C₅₆ → C₂ ⊆ Aut C₃	168	2	C3:1(C7xM4(2))	336,75
C₃⋊₂(C₇×M₄(2)) = C₇×C₄.Dic₃	φ: C₇×M₄(2)/C₂×C₂₈ → C₂ ⊆ Aut C₃	168	2	C3:2(C7xM4(2))	336,80

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