Extensions 1→N→G→Q→1 with N=C₁₂₆ and Q=C₂

Direct product G=N×Q with N=C₁₂₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂₆		252		C2xC126	252,15

Semidirect products G=N:Q with N=C₁₂₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₆⋊₁C₂ = D₁₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	126	2+	C126:1C2	252,14
C₁₂₆⋊₂C₂ = C₁₄×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	126	2	C126:2C2	252,13
C₁₂₆⋊₃C₂ = D₇×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	126	2	C126:3C2	252,12

Non-split extensions G=N.Q with N=C₁₂₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₆.₁C₂ = Dic₆₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	252	2-	C126.1C2	252,5
C₁₂₆.₂C₂ = C₇×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	252	2	C126.2C2	252,3
C₁₂₆.₃C₂ = C₉×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₆	252	2	C126.3C2	252,4

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Extensions 1→N→G→Q→1 with N=C126 and Q=C2