Extensions 1→N→G→Q→1 with N=C₈×D₄ and Q=C₂

Direct product G=N×Q with N=C₈×D₄ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₈		64		D4xC2xC8	128,1658

Semidirect products G=N:Q with N=C₈×D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₈×D₄)⋊₁C₂ = C₈×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):1C2	128,307
(C₈×D₄)⋊₂C₂ = D₈⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):2C2	128,312
(C₈×D₄)⋊₃C₂ = C₄².₆₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):3C2	128,1704
(C₈×D₄)⋊₄C₂ = C₄².₆₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):4C2	128,1720
(C₈×D₄)⋊₅C₂ = C₈⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):5C2	128,399
(C₈×D₄)⋊₆C₂ = D₄.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):6C2	128,413
(C₈×D₄)⋊₇C₂ = D₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):7C2	128,2011
(C₈×D₄)⋊₈C₂ = D₄⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):8C2	128,2026
(C₈×D₄)⋊₉C₂ = D₄⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):9C2	128,2066
(C₈×D₄)⋊₁₀C₂ = D₈⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):10C2	128,2012
(C₈×D₄)⋊₁₁C₂ = SD₁₆⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):11C2	128,2014
(C₈×D₄)⋊₁₂C₂ = D₈⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):12C2	128,2015
(C₈×D₄)⋊₁₃C₂ = SD₁₆⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):13C2	128,2016
(C₈×D₄)⋊₁₄C₂ = Q₁₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):14C2	128,2017
(C₈×D₄)⋊₁₅C₂ = Q₁₆⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):15C2	128,2019
(C₈×D₄)⋊₁₆C₂ = C₄².₄₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):16C2	128,2028
(C₈×D₄)⋊₁₇C₂ = C₄².₄₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):17C2	128,2029
(C₈×D₄)⋊₁₈C₂ = C₄².₄₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):18C2	128,2032
(C₈×D₄)⋊₁₉C₂ = C₄².₄₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):19C2	128,2033
(C₈×D₄)⋊₂₀C₂ = C₄².₄₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):20C2	128,2034
(C₈×D₄)⋊₂₁C₂ = C₄².₄₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):21C2	128,2035
(C₈×D₄)⋊₂₂C₂ = C₄².₄₆₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):22C2	128,2036
(C₈×D₄)⋊₂₃C₂ = C₄².₄₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):23C2	128,2037
(C₈×D₄)⋊₂₄C₂ = C₄².₄₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):24C2	128,2069
(C₈×D₄)⋊₂₅C₂ = C₄².₄₈₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):25C2	128,2071
(C₈×D₄)⋊₂₆C₂ = C₄².₄₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):26C2	128,2072
(C₈×D₄)⋊₂₇C₂ = C₄².₄₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):27C2	128,2073
(C₈×D₄)⋊₂₈C₂ = C₈⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):28C2	128,397
(C₈×D₄)⋊₂₉C₂ = D₄.₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):29C2	128,409
(C₈×D₄)⋊₃₀C₂ = D₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):30C2	128,2013
(C₈×D₄)⋊₃₁C₂ = D₄⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):31C2	128,2027
(C₈×D₄)⋊₃₂C₂ = D₄⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):32C2	128,2030
(C₈×D₄)⋊₃₃C₂ = D₄⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):33C2	128,2067
(C₈×D₄)⋊₃₄C₂ = C₈⋊₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):34C2	128,313
(C₈×D₄)⋊₃₅C₂ = D₄⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):35C2	128,318
(C₈×D₄)⋊₃₆C₂ = C₄².₂₆₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):36C2	128,1661
(C₈×D₄)⋊₃₇C₂ = C₄².₆₈₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):37C2	128,1663
(C₈×D₄)⋊₃₈C₂ = M₄(2)⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):38C2	128,1665
(C₈×D₄)⋊₃₉C₂ = D₄×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):39C2	128,1666
(C₈×D₄)⋊₄₀C₂ = M₄(2)⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):40C2	128,1667
(C₈×D₄)⋊₄₁C₂ = C₄².₂₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):41C2	128,1698
(C₈×D₄)⋊₄₂C₂ = C₄².₂₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):42C2	128,1700
(C₈×D₄)⋊₄₃C₂ = C₄².₂₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):43C2	128,1701
(C₈×D₄)⋊₄₄C₂ = D₄⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):44C2	128,1702
(C₈×D₄)⋊₄₅C₂ = D₄⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):45C2	128,1706
(C₈×D₄)⋊₄₆C₂ = C₄².₂₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):46C2	128,1708
(C₈×D₄)⋊₄₇C₂ = C₄².₂₉₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	32	(C8xD4):47C2	128,1709
(C₈×D₄)⋊₄₈C₂ = C₄².₆₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):48C2	128,1711
(C₈×D₄)⋊₄₉C₂ = C₄².₃₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):49C2	128,1713
(C₈×D₄)⋊₅₀C₂ = D₄⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):50C2	128,1722
(C₈×D₄)⋊₅₁C₂ = C₄².₃₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):51C2	128,1724
(C₈×D₄)⋊₅₂C₂ = C₄².₃₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):52C2	128,1725
(C₈×D₄)⋊₅₃C₂ = C₄².₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4):53C2	128,1726
(C₈×D₄)⋊₅₄C₂ = C₈×C₄○D₄	φ: trivial image	64	(C8xD4):54C2	128,1696

Non-split extensions G=N.Q with N=C₈×D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₈×D₄).₁C₂ = D₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).1C2	128,61
(C₈×D₄).₂C₂ = C₈×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).2C2	128,308
(C₈×D₄).₃C₂ = SD₁₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).3C2	128,310
(C₈×D₄).₄C₂ = C₈.₂₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).4C2	128,401
(C₈×D₄).₅C₂ = C₈⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).5C2	128,405
(C₈×D₄).₆C₂ = D₄.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).6C2	128,407
(C₈×D₄).₇C₂ = D₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).7C2	128,415
(C₈×D₄).₈C₂ = D₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).8C2	128,2018
(C₈×D₄).₉C₂ = D₄⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).9C2	128,2031
(C₈×D₄).₁₀C₂ = D₄⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).10C2	128,2070
(C₈×D₄).₁₁C₂ = C₄².₄₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).11C2	128,2068
(C₈×D₄).₁₂C₂ = C₄².₄₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).12C2	128,2074
(C₈×D₄).₁₃C₂ = C₈⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).13C2	128,403
(C₈×D₄).₁₄C₂ = D₄.₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).14C2	128,411
(C₈×D₄).₁₅C₂ = C₈⋊₁₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).15C2	128,314
(C₈×D₄).₁₆C₂ = D₄.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).16C2	128,317
(C₈×D₄).₁₇C₂ = C₁₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).17C2	128,900
(C₈×D₄).₁₈C₂ = C₁₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₄	64	(C8xD4).18C2	128,901
(C₈×D₄).₁₉C₂ = D₄×C₁₆	φ: trivial image	64	(C8xD4).19C2	128,899

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Extensions 1→N→G→Q→1 with N=C8×D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₈×D₄ and Q=C₂