Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₆

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

		d	ρ	Label	ID
C₂×C₆²		72		C2xC6^2	72,50

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₆ = S₃×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₆	12	6+	(C2xC6):C6	72,44
(C₂×C₆)⋊₂C₆ = C₆×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₆	18	3	(C2xC6):2C6	72,47
(C₂×C₆)⋊₃C₆ = D₄×C₃²	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₆	36		(C2xC6):3C6	72,37
(C₂×C₆)⋊₄C₆ = C₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₆	12	2	(C2xC6):4C6	72,30
(C₂×C₆)⋊₅C₆ = S₃×C₂×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):5C6	72,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₆ = C₂×C₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₆	18	3	(C2xC6).C6	72,16
(C₂×C₆).₂C₆ = D₄×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₆	36	2	(C2xC6).2C6	72,10
(C₂×C₆).₃C₆ = C₆×Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).3C6	72,29

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