Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₁₂

Direct product G=N×Q with N=C₂×C₆ and Q=C₁₂

		d	ρ	Label	ID
C₂×C₆×C₁₂		144		C2xC6xC12	144,178

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₁₂ = Dic₃×A₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂×C₆	36	6-	(C2xC6):C12	144,129
(C₂×C₆)⋊₂C₁₂ = C₁₂×A₄	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6):2C12	144,155
(C₂×C₆)⋊₃C₁₂ = C₃²×C₂²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6):3C12	144,102
(C₂×C₆)⋊₄C₁₂ = C₃×C₆.D₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):4C12	144,84
(C₂×C₆)⋊₅C₁₂ = Dic₃×C₂×C₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):5C12	144,166

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₁₂ = C₄×C₃.A₄	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6).C12	144,34
(C₂×C₆).₂C₁₂ = C₉×C₂²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6).2C12	144,21
(C₂×C₆).₃C₁₂ = C₉×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	72	2	(C2xC6).3C12	144,24
(C₂×C₆).₄C₁₂ = C₃²×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6).4C12	144,105
(C₂×C₆).₅C₁₂ = C₆×C₃⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).5C12	144,74
(C₂×C₆).₆C₁₂ = C₃×C₄.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).6C12	144,75

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