Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₂

Direct product G=N×Q with N=C₃²×C₆ and Q=C₂

		d	ρ	Label	ID
C₃×C₆²		108		C3xC6^2	108,45

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₃²×C₆)⋊₁C₂ = S₃×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	36	(C3^2xC6):1C2	108,42
(C₃²×C₆)⋊₂C₂ = C₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	36	(C3^2xC6):2C2	108,43
(C₃²×C₆)⋊₃C₂ = C₂×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	54	(C3^2xC6):3C2	108,44

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₃²×C₆).₁C₂ = C₃²×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	36	(C3^2xC6).1C2	108,32
(C₃²×C₆).₂C₂ = C₃×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	36	(C3^2xC6).2C2	108,33
(C₃²×C₆).₃C₂ = C₃³⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₆	108	(C3^2xC6).3C2	108,34

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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C2