Extensions 1→N→G→Q→1 with N=D₈₄ and Q=C₂

Direct product G=N×Q with N=D₈₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₈₄		168		C2xD84	336,196

Semidirect products G=N:Q with N=D₈₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₄⋊₁C₂ = D₁₆₈	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	2+	D84:1C2	336,93
D₈₄⋊₂C₂ = D₄⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:2C2	336,101
D₈₄⋊₃C₂ = D₄×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	84	4+	D84:3C2	336,198
D₈₄⋊₄C₂ = Q₈⋊₃D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:4C2	336,201
D₈₄⋊₅C₂ = C₃⋊D₅₆	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:5C2	336,30
D₈₄⋊₆C₂ = D₈₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:6C2	336,142
D₈₄⋊₇C₂ = S₃×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	84	4+	D84:7C2	336,149
D₈₄⋊₈C₂ = C₇⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:8C2	336,31
D₈₄⋊₉C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84:9C2	336,146
D₈₄⋊₁₀C₂ = D₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	84	4+	D84:10C2	336,148
D₈₄⋊₁₁C₂ = D₈₄⋊₁₁C₂	φ: trivial image	168	2	D84:11C2	336,197

Non-split extensions G=N.Q with N=D₈₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₄.₁C₂ = C₈⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	2	D84.1C2	336,92
D₈₄.₂C₂ = Q₈⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84.2C2	336,103
D₈₄.₃C₂ = C₂₁⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84.3C2	336,35
D₈₄.₄C₂ = Dic₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₈₄	168	4+	D84.4C2	336,37

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