Extensions 1→N→G→Q→1 with N=C₂³×C₈ and Q=C₂

Direct product G=N×Q with N=C₂³×C₈ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₈		128		C2^4xC8	128,2301

Semidirect products G=N:Q with N=C₂³×C₈ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂³×C₈)⋊₁C₂ = C₂³.₂₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):1C2	128,601
(C₂³×C₈)⋊₂C₂ = C₂³.₂₃D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):2C2	128,625
(C₂³×C₈)⋊₃C₂ = C₂²×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):3C2	128,1608
(C₂³×C₈)⋊₄C₂ = C₂×(C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):4C2	128,1610
(C₂³×C₈)⋊₅C₂ = C₂²×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):5C2	128,1622
(C₂³×C₈)⋊₆C₂ = C₂×C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):6C2	128,1624
(C₂³×C₈)⋊₇C₂ = D₄×C₂×C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):7C2	128,1658
(C₂³×C₈)⋊₈C₂ = C₂×C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):8C2	128,1780
(C₂³×C₈)⋊₉C₂ = C₂³×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):9C2	128,2306
(C₂³×C₈)⋊₁₀C₂ = C₂⁴.₁₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	32	(C2^3xC8):10C2	128,1782
(C₂³×C₈)⋊₁₁C₂ = C₂²×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):11C2	128,2309
(C₂³×C₈)⋊₁₂C₂ = C₂×C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):12C2	128,1779
(C₂³×C₈)⋊₁₃C₂ = C₂³×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):13C2	128,2307
(C₂³×C₈)⋊₁₄C₂ = C₂×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):14C2	128,1659
(C₂³×C₈)⋊₁₅C₂ = C₄².₂₆₄C₂³	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	32	(C2^3xC8):15C2	128,1661
(C₂³×C₈)⋊₁₆C₂ = C₂³×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):16C2	128,2302
(C₂³×C₈)⋊₁₇C₂ = C₂²×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8):17C2	128,2303

Non-split extensions G=N.Q with N=C₂³×C₈ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂³×C₈).₁C₂ = C₂×C₂².₇C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).1C2	128,459
(C₂³×C₈).₂C₂ = C₂³.₂₉C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).2C2	128,461
(C₂³×C₈).₃C₂ = C₂×C₂².₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).3C2	128,466
(C₂³×C₈).₄C₂ = C₂⁴.₁₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).4C2	128,467
(C₂³×C₈).₅C₂ = C₂×C₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).5C2	128,469
(C₂³×C₈).₆C₂ = C₈×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).6C2	128,483
(C₂³×C₈).₇C₂ = C₂³.₂₁M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).7C2	128,582
(C₂³×C₈).₈C₂ = C₂⁴.₁₃₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).8C2	128,624
(C₂³×C₈).₉C₂ = C₂×C₂²⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).9C2	128,843
(C₂³×C₈).₁₀C₂ = C₂²×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).10C2	128,1623
(C₂³×C₈).₁₁C₂ = C₂²×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).11C2	128,1634
(C₂³×C₈).₁₂C₂ = C₂×C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).12C2	128,1636
(C₂³×C₈).₁₃C₂ = C₂³.₂₂D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).13C2	128,540
(C₂³×C₈).₁₄C₂ = C₂²×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).14C2	128,1640
(C₂³×C₈).₁₅C₂ = C₂×C₈.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).15C2	128,1781
(C₂³×C₈).₁₆C₂ = C₂³×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).16C2	128,2308
(C₂³×C₈).₁₇C₂ = C₂⁴.₁₉Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	32	(C2^3xC8).17C2	128,542
(C₂³×C₈).₁₈C₂ = C₂×C₂³.₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).18C2	128,1641
(C₂³×C₈).₁₉C₂ = C₂²×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).19C2	128,1646
(C₂³×C₈).₂₀C₂ = C₂⁴.₁₃₃D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).20C2	128,539
(C₂³×C₈).₂₁C₂ = C₂²×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).21C2	128,1639
(C₂³×C₈).₂₂C₂ = C₂³.₃₆C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).22C2	128,484
(C₂³×C₈).₂₃C₂ = C₂⁴.₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	32	(C2^3xC8).23C2	128,844
(C₂³×C₈).₂₄C₂ = C₂²×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	128	(C2^3xC8).24C2	128,1602
(C₂³×C₈).₂₅C₂ = C₂×C₈○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).25C2	128,1604
(C₂³×C₈).₂₆C₂ = C₂²×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₈	64	(C2^3xC8).26C2	128,2137

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Extensions 1→N→G→Q→1 with N=C23×C8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³×C₈ and Q=C₂