Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²:C₁₂

Direct product G=NxQ with N=C₄ and Q=C₃²:C₁₂

		d	ρ	Label	ID
C₄xC₃²:C₁₂		144		C4xC3^2:C12	432,138

Semidirect products G=N:Q with N=C₄ and Q=C₃²:C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃²:C₁₂) = C₆².₂₀D₆	φ: C₃²:C₁₂/C₂xHe₃ → C₂ ⊆ Aut C₄	144		C4:(C3^2:C12)	432,140

Non-split extensions G=N.Q with N=C₄ and Q=C₃²:C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃²:C₁₂) = He₃:₇M₄(2)	φ: C₃²:C₁₂/C₂xHe₃ → C₂ ⊆ Aut C₄	72	6	C4.(C3^2:C12)	432,137
C₄.₂(C₃²:C₁₂) = He₃:₃C₁₆	central extension (φ=1)	144	6	C4.2(C3^2:C12)	432,30
C₄.₃(C₃²:C₁₂) = C₂xHe₃:₃C₈	central extension (φ=1)	144		C4.3(C3^2:C12)	432,136

Extensions 1→N→G→Q→1 with N=C4 and Q=C32:C12