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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×M₄(2)) = C₈⋊F₇	φ: C₃×M₄(2)/C₈ → C₆ ⊆ Aut C₇	56	6	C7:1(C3xM4(2))	336,8
C₇⋊₂(C₃×M₄(2)) = C₂₈.C₁₂	φ: C₃×M₄(2)/C₂×C₄ → C₆ ⊆ Aut C₇	56	6	C7:2(C3xM4(2))	336,13
C₇⋊₃(C₃×M₄(2)) = M₄(2)×C₇⋊C₃	φ: C₃×M₄(2)/M₄(2) → C₃ ⊆ Aut C₇	56	6	C7:3(C3xM4(2))	336,52
C₇⋊₄(C₃×M₄(2)) = C₃×C₈⋊D₇	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:4(C3xM4(2))	336,59
C₇⋊₅(C₃×M₄(2)) = C₃×C₄.Dic₇	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₇	168	2	C7:5(C3xM4(2))	336,64

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