Extensions 1→N→G→Q→1 with N=D₈₂ and Q=C₂

Direct product G=N×Q with N=D₈₂ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄₁		164		C2^2xD41	328,14

Semidirect products G=N:Q with N=D₈₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₂⋊₁C₂ = D₁₆₄	φ: C₂/C₁ → C₂ ⊆ Out D₈₂	164	2+	D82:1C2	328,6
D₈₂⋊₂C₂ = C₄₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₈₂	164	2	D82:2C2	328,8

Non-split extensions G=N.Q with N=D₈₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₂.C₂ = C₂×C₄₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₈₂	82	4+	D82.C2	328,13
D₈₂.₂C₂ = C₄×D₄₁	φ: trivial image	164	2	D82.2C2	328,5

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Extensions 1→N→G→Q→1 with N=D82 and Q=C2