Extensions 1→N→G→Q→1 with N=C₂³×C₆ and Q=C₂

Direct product G=N×Q with N=C₂³×C₆ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂³×C₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆)⋊₁C₂ = C₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	24		(C2^3xC6):1C2	96,167
(C₂³×C₆)⋊₂C₂ = D₄×C₂×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6):2C2	96,221
(C₂³×C₆)⋊₃C₂ = C₂⁴⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	24		(C2^3xC6):3C2	96,160
(C₂³×C₆)⋊₄C₂ = C₂²×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6):4C2	96,219
(C₂³×C₆)⋊₅C₂ = S₃×C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6):5C2	96,230

Non-split extensions G=N.Q with N=C₂³×C₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆).₁C₂ = C₆×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6).1C2	96,162
(C₂³×C₆).₂C₂ = C₂×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6).2C2	96,159
(C₂³×C₆).₃C₂ = C₂³×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₆	96		(C2^3xC6).3C2	96,218

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