Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₆

Direct product G=NxQ with N=C₂xC₆ and Q=C₆

		d	ρ	Label	ID
C₂xC₆²		72		C2xC6^2	72,50

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):C₆ = S₃xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₆	12	6+	(C2xC6):C6	72,44
(C₂xC₆):₂C₆ = C₆xA₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₆	18	3	(C2xC6):2C6	72,47
(C₂xC₆):₃C₆ = D₄xC₃²	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₆	36		(C2xC6):3C6	72,37
(C₂xC₆):₄C₆ = C₃xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₆	12	2	(C2xC6):4C6	72,30
(C₂xC₆):₅C₆ = S₃xC₂xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):5C6	72,48

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).C₆ = C₂xC₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₆	18	3	(C2xC6).C6	72,16
(C₂xC₆).₂C₆ = D₄xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₆	36	2	(C2xC6).2C6	72,10
(C₂xC₆).₃C₆ = C₆xDic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).3C6	72,29

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