Extensions 1→N→G→Q→1 with N=C₁₂₆ and Q=C₃

Direct product G=N×Q with N=C₁₂₆ and Q=C₃

		d	ρ	Label	ID
C₃×C₁₂₆		378		C3xC126	378,44

Semidirect products G=N:Q with N=C₁₂₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₆⋊₁C₃ = C₁₈×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂₆	126	3	C126:1C3	378,23
C₁₂₆⋊₂C₃ = C₂×C₆₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂₆	126	3	C126:2C3	378,24
C₁₂₆⋊₃C₃ = C₂×C₆₃⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂₆	126	3	C126:3C3	378,25
C₁₂₆⋊₄C₃ = C₁₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂₆	126	3	C126:4C3	378,46

Non-split extensions G=N.Q with N=C₁₂₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₆.C₃ = C₂×C₇⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂₆	378	3	C126.C3	378,2

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Extensions 1→N→G→Q→1 with N=C126 and Q=C3