Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×D₇

Direct product G=N×Q with N=C₈ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₂₄		168	2	D7xC24	336,58

Semidirect products G=N:Q with N=C₈ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃×D₇) = C₃×D₅₆	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:1(C3xD7)	336,61
C₈⋊₂(C₃×D₇) = C₃×C₅₆⋊C₂	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:2(C3xD7)	336,60
C₈⋊₃(C₃×D₇) = C₃×C₈⋊D₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:3(C3xD7)	336,59

Non-split extensions G=N.Q with N=C₈ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃×D₇) = C₃×Dic₂₈	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₈	336	2	C8.(C3xD7)	336,62
C₈.₂(C₃×D₇) = C₃×C₇⋊C₁₆	central extension (φ=1)	336	2	C8.2(C3xD7)	336,4

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Extensions 1→N→G→Q→1 with N=C8 and Q=C3×D7