Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂²

Direct product G=N×Q with N=C₃ and Q=C₁₂²

		d	ρ	Label	ID
C₃×C₁₂²		432		C3xC12^2	432,512

Semidirect products G=N:Q with N=C₃ and Q=C₁₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊C₁₂² = Dic₃×C₃×C₁₂	φ: C₁₂²/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3:C12^2	432,471

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁C₁₂² = C₄²×He₃	central stem extension (φ=1)	144		C3.1C12^2	432,201
C₃.₂C₁₂² = C₄²×3_-¹⁺²	central stem extension (φ=1)	144		C3.2C12^2	432,202

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C122