Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₂

Direct product G=N×Q with N=C₂²×C₆ and Q=C₂

		d	ρ	Label	ID
C₂³×C₆		48		C2^3xC6	48,52

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₆)⋊₁C₂ = C₆×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	24	(C2^2xC6):1C2	48,45
(C₂²×C₆)⋊₂C₂ = C₂×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	24	(C2^2xC6):2C2	48,43
(C₂²×C₆)⋊₃C₂ = S₃×C₂³	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	24	(C2^2xC6):3C2	48,51

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₆).₁C₂ = C₃×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	24	(C2^2xC6).1C2	48,21
(C₂²×C₆).₂C₂ = C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	24	(C2^2xC6).2C2	48,19
(C₂²×C₆).₃C₂ = C₂²×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₆	48	(C2^2xC6).3C2	48,42

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Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C2