Extensions 1→N→G→Q→1 with N=C₃³×C₆ and Q=C₂

Direct product G=N×Q with N=C₃³×C₆ and Q=C₂

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃³×C₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃³×C₆)⋊₁C₂ = S₃×C₃²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	108		(C3^3xC6):1C2	324,172
(C₃³×C₆)⋊₂C₂ = C₃⋊S₃×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	36		(C3^3xC6):2C2	324,173
(C₃³×C₆)⋊₃C₂ = C₆×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	108		(C3^3xC6):3C2	324,174
(C₃³×C₆)⋊₄C₂ = C₂×C₃⁴⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	162		(C3^3xC6):4C2	324,175

Non-split extensions G=N.Q with N=C₃³×C₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃³×C₆).₁C₂ = Dic₃×C₃³	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	108		(C3^3xC6).1C2	324,155
(C₃³×C₆).₂C₂ = C₃²×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	36		(C3^3xC6).2C2	324,156
(C₃³×C₆).₃C₂ = C₃×C₃³⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	108		(C3^3xC6).3C2	324,157
(C₃³×C₆).₄C₂ = C₃⁴⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃³×C₆	324		(C3^3xC6).4C2	324,158

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