Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₆

Direct product G=N×Q with N=C₂²×C₆ and Q=C₆

		d	ρ	Label	ID
C₂²×C₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊C₆ = C₂×S₃×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₆	18	6+	(C2^2xC6):C6	144,190
(C₂²×C₆)⋊₂C₆ = A₄×C₂×C₆	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₆	36		(C2^2xC6):2C6	144,193
(C₂²×C₆)⋊₃C₆ = D₄×C₃×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6):3C6	144,179
(C₂²×C₆)⋊₄C₆ = C₆×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	24		(C2^2xC6):4C6	144,167
(C₂²×C₆)⋊₅C₆ = S₃×C₂²×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	48		(C2^2xC6):5C6	144,195

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).C₆ = Dic₃×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₆	36	6-	(C2^2xC6).C6	144,129
(C₂²×C₆).₂C₆ = C₄×C₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₆	36	3	(C2^2xC6).2C6	144,34
(C₂²×C₆).₃C₆ = C₂²×C₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₆	36		(C2^2xC6).3C6	144,110
(C₂²×C₆).₄C₆ = C₁₂×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₆	36	3	(C2^2xC6).4C6	144,155
(C₂²×C₆).₅C₆ = C₉×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6).5C6	144,21
(C₂²×C₆).₆C₆ = D₄×C₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6).6C6	144,48
(C₂²×C₆).₇C₆ = C₃²×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6).7C6	144,102
(C₂²×C₆).₈C₆ = C₃×C₆.D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	24		(C2^2xC6).8C6	144,84
(C₂²×C₆).₉C₆ = Dic₃×C₂×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₆	48		(C2^2xC6).9C6	144,166

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