Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄⋊₂S₃

Direct product G=N×Q with N=C₇ and Q=D₄⋊₂S₃

		d	ρ	Label	ID
C₇×D₄⋊₂S₃		168	4	C7xD4:2S3	336,189

Semidirect products G=N:Q with N=C₇ and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊₂S₃) = D₂₈⋊S₃	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₇	168	4	C7:1(D4:2S3)	336,139
C₇⋊₂(D₄⋊₂S₃) = D₂₈⋊₅S₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₇	168	4-	C7:2(D4:2S3)	336,138
C₇⋊₃(D₄⋊₂S₃) = Dic₇.D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₇	168	4	C7:3(D4:2S3)	336,152
C₇⋊₄(D₄⋊₂S₃) = C₄₂.C₂³	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₇	168	4-	C7:4(D4:2S3)	336,153
C₇⋊₅(D₄⋊₂S₃) = D₄⋊₂D₂₁	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₇	168	4-	C7:5(D4:2S3)	336,199

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