Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃³⋊C₂

Direct product G=N×Q with N=C₄ and Q=C₃³⋊C₂

		d	ρ	Label	ID
C₄×C₃³⋊C₂		108		C4xC3^3:C2	216,146

Semidirect products G=N:Q with N=C₄ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃³⋊C₂) = C₃³⋊₁₂D₄	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₄	108		C4:(C3^3:C2)	216,147

Non-split extensions G=N.Q with N=C₄ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃³⋊C₂) = C₃³⋊₈Q₈	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₄	216		C4.(C3^3:C2)	216,145
C₄.₂(C₃³⋊C₂) = C₃³⋊₇C₈	central extension (φ=1)	216		C4.2(C3^3:C2)	216,84

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Extensions 1→N→G→Q→1 with N=C4 and Q=C33⋊C2