Extensions 1→N→G→Q→1 with N=C₁₆₄ and Q=C₂

Direct product G=N×Q with N=C₁₆₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₆₄		328		C2xC164	328,9

Semidirect products G=N:Q with N=C₁₆₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆₄⋊₁C₂ = D₁₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	164	2+	C164:1C2	328,6
C₁₆₄⋊₂C₂ = C₄×D₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	164	2	C164:2C2	328,5
C₁₆₄⋊₃C₂ = D₄×C₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	164	2	C164:3C2	328,10

Non-split extensions G=N.Q with N=C₁₆₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆₄.₁C₂ = Dic₈₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	328	2-	C164.1C2	328,4
C₁₆₄.₂C₂ = C₄₁⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	328	2	C164.2C2	328,1
C₁₆₄.₃C₂ = Q₈×C₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₆₄	328	2	C164.3C2	328,11

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Extensions 1→N→G→Q→1 with N=C164 and Q=C2