Extensions 1→N→G→Q→1 with N=C₁₅₆ and Q=C₃

Direct product G=N×Q with N=C₁₅₆ and Q=C₃

		d	ρ	Label	ID
C₃×C₁₅₆		468		C3xC156	468,28

Semidirect products G=N:Q with N=C₁₅₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₆⋊C₃ = C₁₂×C₁₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₅₆	156	3	C156:C3	468,22

Non-split extensions G=N.Q with N=C₁₅₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₆.C₃ = C₄×C₁₃⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₁₅₆	468	3	C156.C3	468,2

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Extensions 1→N→G→Q→1 with N=C156 and Q=C3