Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=C₆

Direct product G=N×Q with N=C₄×C₈ and Q=C₆

		d	ρ	Label	ID
C₂×C₄×C₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₄×C₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁C₆ = C₃×D₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):1C6	192,131
(C₄×C₈)⋊₂C₆ = C₃×C₄².₁₂C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):2C6	192,864
(C₄×C₈)⋊₃C₆ = C₃×C₄².₇C₂²	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):3C6	192,866
(C₄×C₈)⋊₄C₆ = D₄×C₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):4C6	192,867
(C₄×C₈)⋊₅C₆ = C₃×C₄.₄D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):5C6	192,919
(C₄×C₈)⋊₆C₆ = C₃×C₄².₇₈C₂²	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):6C6	192,921
(C₄×C₈)⋊₇C₆ = C₁₂×D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):7C6	192,870
(C₄×C₈)⋊₈C₆ = C₃×C₈⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):8C6	192,926
(C₄×C₈)⋊₉C₆ = C₃×C₈.₁₂D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):9C6	192,928
(C₄×C₈)⋊₁₀C₆ = C₃×C₈○D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	48	2	(C4xC8):10C6	192,876
(C₄×C₈)⋊₁₁C₆ = C₁₂×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):11C6	192,871
(C₄×C₈)⋊₁₂C₆ = C₃×C₈⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):12C6	192,925
(C₄×C₈)⋊₁₃C₆ = C₁₂×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):13C6	192,837
(C₄×C₈)⋊₁₄C₆ = C₃×C₈○₂M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):14C6	192,838
(C₄×C₈)⋊₁₅C₆ = C₃×C₈⋊₆D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):15C6	192,869

Non-split extensions G=N.Q with N=C₄×C₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁C₆ = C₃×Q₈⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).1C6	192,132
(C₄×C₈).₂C₆ = C₃×C₄⋊C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).2C6	192,169
(C₄×C₈).₃C₆ = Q₈×C₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).3C6	192,878
(C₄×C₈).₄C₆ = C₃×C₄.SD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).4C6	192,920
(C₄×C₈).₅C₆ = C₃×C₈⋊₁C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).5C6	192,141
(C₄×C₈).₆C₆ = C₁₂×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).6C6	192,872
(C₄×C₈).₇C₆ = C₃×C₄⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).7C6	192,927
(C₄×C₈).₈C₆ = C₃×C₈⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).8C6	192,933
(C₄×C₈).₉C₆ = C₃×C₈.₅Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).9C6	192,932
(C₄×C₈).₁₀C₆ = C₃×C₈.C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	48	2	(C4xC8).10C6	192,170
(C₄×C₈).₁₁C₆ = C₃×C₈⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).11C6	192,140
(C₄×C₈).₁₂C₆ = C₃×C₈⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).12C6	192,931
(C₄×C₈).₁₃C₆ = C₃×C₈⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).13C6	192,128
(C₄×C₈).₁₄C₆ = C₃×C₁₆⋊₅C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).14C6	192,152
(C₄×C₈).₁₅C₆ = C₃×C₈⋊₄Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).15C6	192,879

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