Extensions 1→N→G→Q→1 with N=C₂² and Q=C₉⋊C₁₂

Direct product G=N×Q with N=C₂² and Q=C₉⋊C₁₂

		d	ρ	Label	ID
C₂²×C₉⋊C₁₂		144		C2^2xC9:C12	432,378

Semidirect products G=N:Q with N=C₂² and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₉⋊C₁₂) = C₆².Dic₃	φ: C₉⋊C₁₂/C₃×C₆ → S₃ ⊆ Aut C₂²	36	6-	C2^2:(C9:C12)	432,249
C₂²⋊₂(C₉⋊C₁₂) = Dic₉⋊A₄	φ: C₉⋊C₁₂/Dic₉ → C₃ ⊆ Aut C₂²	108	6-	C2^2:2(C9:C12)	432,265
C₂²⋊₃(C₉⋊C₁₂) = C₆².₂₇D₆	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:3(C9:C12)	432,167

Non-split extensions G=N.Q with N=C₂² and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₉⋊C₁₂) = C₃₆.C₁₂	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.(C9:C12)	432,143
C₂².₂(C₉⋊C₁₂) = C₂×C₉⋊C₂₄	central extension (φ=1)	144		C2^2.2(C9:C12)	432,142

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C9⋊C12