Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₁

Direct product G=N×Q with N=C₈ and Q=D₂₁

		d	ρ	Label	ID
C₈×D₂₁		168	2	C8xD21	336,90

Semidirect products G=N:Q with N=C₈ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₂₁ = D₁₆₈	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₈	168	2+	C8:1D21	336,93
C₈⋊₂D₂₁ = C₈⋊D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:2D21	336,92
C₈⋊₃D₂₁ = C₅₆⋊S₃	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₈	168	2	C8:3D21	336,91

Non-split extensions G=N.Q with N=C₈ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₂₁ = Dic₈₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₈	336	2-	C8.D21	336,94
C₈.₂D₂₁ = C₂₁⋊C₁₆	central extension (φ=1)	336	2	C8.2D21	336,5

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Extensions 1→N→G→Q→1 with N=C8 and Q=D21