Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₆

Direct product G=NxQ with N=C₁₂ and Q=C₆

		d	ρ	Label	ID
C₆xC₁₂		72		C6xC12	72,36

Semidirect products G=N:Q with N=C₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂:₁C₆ = C₃xD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	24	2	C12:1C6	72,28
C₁₂:₂C₆ = S₃xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	24	2	C12:2C6	72,27
C₁₂:₃C₆ = D₄xC₃²	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	36		C12:3C6	72,37

Non-split extensions G=N.Q with N=C₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₆ = C₃xDic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	24	2	C12.1C6	72,26
C₁₂.₂C₆ = C₃xC₃:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	24	2	C12.2C6	72,12
C₁₂.₃C₆ = D₄xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	36	2	C12.3C6	72,10
C₁₂.₄C₆ = Q₈xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	72	2	C12.4C6	72,11
C₁₂.₅C₆ = Q₈xC₃²	φ: C₆/C₃ → C₂ ⊆ Aut C₁₂	72		C12.5C6	72,38

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