Extensions 1→N→G→Q→1 with N=C₅₂ and Q=C₂

Direct product G=N×Q with N=C₅₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₅₂		104		C2xC52	104,9

Semidirect products G=N:Q with N=C₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂⋊₁C₂ = D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	52	2+	C52:1C2	104,6
C₅₂⋊₂C₂ = C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	52	2	C52:2C2	104,5
C₅₂⋊₃C₂ = D₄×C₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	52	2	C52:3C2	104,10

Non-split extensions G=N.Q with N=C₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂.₁C₂ = Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	104	2-	C52.1C2	104,4
C₅₂.₂C₂ = C₁₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	104	2	C52.2C2	104,1
C₅₂.₃C₂ = Q₈×C₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₅₂	104	2	C52.3C2	104,11

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Extensions 1→N→G→Q→1 with N=C52 and Q=C2