Extensions 1→N→G→Q→1 with N=C₂³xC₆ and Q=C₂

Direct product G=NxQ with N=C₂³xC₆ and Q=C₂

		d	ρ	Label	ID
C₂⁴xC₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂³xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆):₁C₂ = C₃xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	24		(C2^3xC6):1C2	96,167
(C₂³xC₆):₂C₂ = D₄xC₂xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6):2C2	96,221
(C₂³xC₆):₃C₂ = C₂⁴:₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	24		(C2^3xC6):3C2	96,160
(C₂³xC₆):₄C₂ = C₂²xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6):4C2	96,219
(C₂³xC₆):₅C₂ = S₃xC₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6):5C2	96,230

Non-split extensions G=N.Q with N=C₂³xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆).₁C₂ = C₆xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6).1C2	96,162
(C₂³xC₆).₂C₂ = C₂xC₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6).2C2	96,159
(C₂³xC₆).₃C₂ = C₂³xDic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6).3C2	96,218

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