Extensions 1→N→G→Q→1 with N=C₄×Q₈ and Q=C₆

Direct product G=N×Q with N=C₄×Q₈ and Q=C₆

		d	ρ	Label	ID
Q₈×C₂×C₁₂		192		Q8xC2xC12	192,1405

Semidirect products G=N:Q with N=C₄×Q₈ and Q=C₆

extension	φ:Q→Out N	d	Label	ID
(C₄×Q₈)⋊₁C₆ = (C₂×Q₈)⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	32	(C4xQ8):1C6	192,998
(C₄×Q₈)⋊₂C₆ = SL₂(𝔽₃)⋊₅D₄	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	32	(C4xQ8):2C6	192,1003
(C₄×Q₈)⋊₃C₆ = D₄×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	32	(C4xQ8):3C6	192,1004
(C₄×Q₈)⋊₄C₆ = C₂×C₄×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₄×Q₈	64	(C4xQ8):4C6	192,996
(C₄×Q₈)⋊₅C₆ = C₁₂×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):5C6	192,871
(C₄×Q₈)⋊₆C₆ = C₃×SD₁₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):6C6	192,873
(C₄×Q₈)⋊₇C₆ = C₃×C₄⋊SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):7C6	192,893
(C₄×Q₈)⋊₈C₆ = C₃×Q₈.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):8C6	192,897
(C₄×Q₈)⋊₉C₆ = C₃×C₂³.₃₂C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):9C6	192,1408
(C₄×Q₈)⋊₁₀C₆ = C₃×C₂³.₃₃C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):10C6	192,1409
(C₄×Q₈)⋊₁₁C₆ = C₃×C₂³.₃₆C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):11C6	192,1418
(C₄×Q₈)⋊₁₂C₆ = C₃×C₂³.₃₇C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):12C6	192,1422
(C₄×Q₈)⋊₁₃C₆ = C₃×C₂².₃₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):13C6	192,1430
(C₄×Q₈)⋊₁₄C₆ = C₃×C₂².₃₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):14C6	192,1431
(C₄×Q₈)⋊₁₅C₆ = C₃×Q₈⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):15C6	192,1437
(C₄×Q₈)⋊₁₆C₆ = C₃×D₄×Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):16C6	192,1438
(C₄×Q₈)⋊₁₇C₆ = C₃×Q₈⋊₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):17C6	192,1439
(C₄×Q₈)⋊₁₈C₆ = C₃×C₂².₄₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):18C6	192,1441
(C₄×Q₈)⋊₁₉C₆ = C₃×D₄⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):19C6	192,1443
(C₄×Q₈)⋊₂₀C₆ = C₃×C₂².₅₀C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):20C6	192,1445
(C₄×Q₈)⋊₂₁C₆ = C₃×C₂².₅₃C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	96	(C4xQ8):21C6	192,1448
(C₄×Q₈)⋊₂₂C₆ = C₁₂×C₄○D₄	φ: trivial image	96	(C4xQ8):22C6	192,1406

Non-split extensions G=N.Q with N=C₄×Q₈ and Q=C₆

extension	φ:Q→Out N	d	Label	ID
(C₄×Q₈).₁C₆ = C₄○D₄⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	64	(C4xQ8).1C6	192,999
(C₄×Q₈).₂C₆ = SL₂(𝔽₃)⋊₆D₄	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	64	(C4xQ8).2C6	192,1005
(C₄×Q₈).₃C₆ = SL₂(𝔽₃)⋊₃Q₈	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	64	(C4xQ8).3C6	192,1006
(C₄×Q₈).₄C₆ = Q₈×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out C₄×Q₈	64	(C4xQ8).4C6	192,1007
(C₄×Q₈).₅C₆ = C₈×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₄×Q₈	64	(C4xQ8).5C6	192,200
(C₄×Q₈).₆C₆ = C₄×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₄×Q₈	64	(C4xQ8).6C6	192,997
(C₄×Q₈).₇C₆ = C₃×Q₈⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).7C6	192,132
(C₄×Q₈).₈C₆ = C₁₂×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).8C6	192,872
(C₄×Q₈).₉C₆ = C₃×Q₁₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).9C6	192,874
(C₄×Q₈).₁₀C₆ = C₃×C₈⋊₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).10C6	192,879
(C₄×Q₈).₁₁C₆ = C₃×C₄⋊₂Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).11C6	192,895
(C₄×Q₈).₁₂C₆ = C₃×Q₈⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).12C6	192,908
(C₄×Q₈).₁₃C₆ = C₃×C₄.Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).13C6	192,910
(C₄×Q₈).₁₄C₆ = C₃×Q₈.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).14C6	192,912
(C₄×Q₈).₁₅C₆ = C₃×Q₈⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).15C6	192,1446
(C₄×Q₈).₁₆C₆ = C₃×Q₈²	φ: C₆/C₃ → C₂ ⊆ Out C₄×Q₈	192	(C4xQ8).16C6	192,1447
(C₄×Q₈).₁₇C₆ = Q₈×C₂₄	φ: trivial image	192	(C4xQ8).17C6	192,878

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Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=C6

Extensions 1→N→G→Q→1 with N=C₄×Q₈ and Q=C₆