Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃³⋊C₂

Direct product G=N×Q with N=C₆ and Q=C₃³⋊C₂

		d	ρ	Label	ID
C₆×C₃³⋊C₂		108		C6xC3^3:C2	324,174

Semidirect products G=N:Q with N=C₆ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃³⋊C₂) = C₂×C₃⁴⋊C₂	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₆	162		C6:(C3^3:C2)	324,175

Non-split extensions G=N.Q with N=C₆ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃³⋊C₂) = C₃²⋊₅Dic₉	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₆	324		C6.1(C3^3:C2)	324,103
C₆.₂(C₃³⋊C₂) = C₂×C₃²⋊₄D₉	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₆	162		C6.2(C3^3:C2)	324,149
C₆.₃(C₃³⋊C₂) = C₃⁴⋊₈C₄	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₆	324		C6.3(C3^3:C2)	324,158
C₆.₄(C₃³⋊C₂) = He₃⋊₆Dic₃	central extension (φ=1)	36	6	C6.4(C3^3:C2)	324,104
C₆.₅(C₃³⋊C₂) = C₂×He₃⋊₅S₃	central extension (φ=1)	36	6	C6.5(C3^3:C2)	324,150
C₆.₆(C₃³⋊C₂) = C₃×C₃³⋊₅C₄	central extension (φ=1)	108		C6.6(C3^3:C2)	324,157

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