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

Direct product G=N×Q with N=C₄ and Q=C₃²⋊C₁₂

		d	ρ	Label	ID
C₄×C₃²⋊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/C₂×He₃ → 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/C₂×He₃ → 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) = C₂×He₃⋊₃C₈	central extension (φ=1)	144		C4.3(C3^2:C12)	432,136

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