Extensions 1→N→G→Q→1 with N=C₂²×C₆² and Q=C₂

Direct product G=N×Q with N=C₂²×C₆² and Q=C₂

		d	ρ	Label	ID
C₂³×C₆²		288		C2^3xC6^2	288,1045

Semidirect products G=N:Q with N=C₂²×C₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆²)⋊₁C₂ = C₃²×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	72		(C2^2xC6^2):1C2	288,817
(C₂²×C₆²)⋊₂C₂ = D₄×C₆²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	144		(C2^2xC6^2):2C2	288,1019
(C₂²×C₆²)⋊₃C₂ = C₃×C₂⁴⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	24		(C2^2xC6^2):3C2	288,724
(C₂²×C₆²)⋊₄C₂ = C₆²⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	72		(C2^2xC6^2):4C2	288,810
(C₂²×C₆²)⋊₅C₂ = C₂×C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	48		(C2^2xC6^2):5C2	288,1002
(C₂²×C₆²)⋊₆C₂ = C₂²×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	144		(C2^2xC6^2):6C2	288,1017
(C₂²×C₆²)⋊₇C₂ = S₃×C₂³×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	96		(C2^2xC6^2):7C2	288,1043
(C₂²×C₆²)⋊₈C₂ = C₂⁴×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	144		(C2^2xC6^2):8C2	288,1044

Non-split extensions G=N.Q with N=C₂²×C₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆²).₁C₂ = C₂²⋊C₄×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	144		(C2^2xC6^2).1C2	288,812
(C₂²×C₆²).₂C₂ = C₆×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	48		(C2^2xC6^2).2C2	288,723
(C₂²×C₆²).₃C₂ = C₂×C₆²⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	144		(C2^2xC6^2).3C2	288,809
(C₂²×C₆²).₄C₂ = Dic₃×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	96		(C2^2xC6^2).4C2	288,1001
(C₂²×C₆²).₅C₂ = C₂³×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆²	288		(C2^2xC6^2).5C2	288,1016

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