Extensions 1→N→G→Q→1 with N=C₂³xC₆ and Q=C₄

Direct product G=NxQ with N=C₂³xC₆ and Q=C₄

		d	ρ	Label	ID
C₂⁴xC₁₂		192		C2^4xC12	192,1530

Semidirect products G=N:Q with N=C₂³xC₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆):₁C₄ = C₃xC₂wrC₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	24	4	(C2^3xC6):1C4	192,157
(C₂³xC₆):₂C₄ = C₆xC₂³:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6):2C4	192,842
(C₂³xC₆):₃C₄ = C₂⁴:₅Dic₃	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	24	4	(C2^3xC6):3C4	192,95
(C₂³xC₆):₄C₄ = C₂xC₂³.₇D₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6):4C4	192,778
(C₂³xC₆):₅C₄ = C₃xC₂⁴:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6):5C4	192,812
(C₂³xC₆):₆C₄ = C₂xC₆xC₂²:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6):6C4	192,1401
(C₂³xC₆):₇C₄ = C₂⁵.₄S₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6):7C4	192,806
(C₂³xC₆):₈C₄ = C₂²xC₆.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6):8C4	192,1398
(C₂³xC₆):₉C₄ = Dic₃xC₂⁴	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	192		(C2^3xC6):9C4	192,1528

Non-split extensions G=N.Q with N=C₂³xC₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆).₁C₄ = C₃xC₂³:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6).1C4	192,129
(C₂³xC₆).₂C₄ = C₆xC₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6).2C4	192,844
(C₂³xC₆).₃C₄ = C₂⁴.₃Dic₃	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6).3C4	192,84
(C₂³xC₆).₄C₄ = C₂xC₁₂.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₆	48		(C2^3xC6).4C4	192,775
(C₂³xC₆).₅C₄ = C₆xC₂²:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6).5C4	192,839
(C₂³xC₆).₆C₄ = C₃xC₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6).6C4	192,840
(C₂³xC₆).₇C₄ = C₂xC₆xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6).7C4	192,1455
(C₂³xC₆).₈C₄ = C₂xC₁₂.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6).8C4	192,765
(C₂³xC₆).₉C₄ = C₂⁴.₆Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	48		(C2^3xC6).9C4	192,766
(C₂³xC₆).₁₀C₄ = C₂³xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	192		(C2^3xC6).10C4	192,1339
(C₂³xC₆).₁₁C₄ = C₂²xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₆	96		(C2^3xC6).11C4	192,1340

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