Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂₄⋊C₂

Direct product G=N×Q with N=C₇ and Q=C₂₄⋊C₂

		d	ρ	Label	ID
C₇×C₂₄⋊C₂		168	2	C7xC24:C2	336,76

Semidirect products G=N:Q with N=C₇ and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂₄⋊C₂) = C₈⋊D₂₁	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:1(C24:C2)	336,92
C₇⋊₂(C₂₄⋊C₂) = Dic₆⋊D₇	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₇	168	4+	C7:2(C24:C2)	336,37
C₇⋊₃(C₂₄⋊C₂) = D₁₂.D₇	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₇	168	4-	C7:3(C24:C2)	336,36

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