Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃×C₇

Direct product G=N×Q with N=C₈ and Q=S₃×C₇

		d	ρ	Label	ID
S₃×C₅₆		168	2	S3xC56	336,74

Semidirect products G=N:Q with N=C₈ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(S₃×C₇) = C₇×D₂₄	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:1(S3xC7)	336,77
C₈⋊₂(S₃×C₇) = C₇×C₂₄⋊C₂	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:2(S3xC7)	336,76
C₈⋊₃(S₃×C₇) = C₇×C₈⋊S₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:3(S3xC7)	336,75

Non-split extensions G=N.Q with N=C₈ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(S₃×C₇) = C₇×Dic₁₂	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₈	336	2	C8.(S3xC7)	336,78
C₈.₂(S₃×C₇) = C₇×C₃⋊C₁₆	central extension (φ=1)	336	2	C8.2(S3xC7)	336,3

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Extensions 1→N→G→Q→1 with N=C8 and Q=S3×C7