Extensions 1→N→G→Q→1 with N=D₄×C₂₈ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₈ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₂₈		224		D4xC2xC28	448,1298

Semidirect products G=N:Q with N=D₄×C₂₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂₈)⋊₁C₂ = C₄×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):1C2	448,547
(D₄×C₂₈)⋊₂C₂ = C₄².₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):2C2	448,548
(D₄×C₂₈)⋊₃C₂ = C₂₈⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):3C2	448,549
(D₄×C₂₈)⋊₄C₂ = D₄.₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):4C2	448,550
(D₄×C₂₈)⋊₅C₂ = C₄×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):5C2	448,989
(D₄×C₂₈)⋊₆C₂ = C₄².₁₀₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):6C2	448,991
(D₄×C₂₈)⋊₇C₂ = C₄².₁₀₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):7C2	448,993
(D₄×C₂₈)⋊₈C₂ = C₄×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):8C2	448,997
(D₄×C₂₈)⋊₉C₂ = C₄²⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):9C2	448,998
(D₄×C₂₈)⋊₁₀C₂ = C₄².₁₀₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):10C2	448,999
(D₄×C₂₈)⋊₁₁C₂ = C₄²⋊₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):11C2	448,1000
(D₄×C₂₈)⋊₁₂C₂ = C₄².₂₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):12C2	448,1001
(D₄×C₂₈)⋊₁₃C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):13C2	448,1002
(D₄×C₂₈)⋊₁₄C₂ = D₂₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):14C2	448,1003
(D₄×C₂₈)⋊₁₅C₂ = D₂₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):15C2	448,1004
(D₄×C₂₈)⋊₁₆C₂ = Dic₁₄⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):16C2	448,1005
(D₄×C₂₈)⋊₁₇C₂ = Dic₁₄⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):17C2	448,1006
(D₄×C₂₈)⋊₁₈C₂ = D₄⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):18C2	448,1007
(D₄×C₂₈)⋊₁₉C₂ = D₄⋊₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):19C2	448,1008
(D₄×C₂₈)⋊₂₀C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):20C2	448,1009
(D₄×C₂₈)⋊₂₁C₂ = C₄².₂₂₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):21C2	448,1010
(D₄×C₂₈)⋊₂₂C₂ = C₄².₁₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):22C2	448,1011
(D₄×C₂₈)⋊₂₃C₂ = C₄².₁₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):23C2	448,1012
(D₄×C₂₈)⋊₂₄C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):24C2	448,1013
(D₄×C₂₈)⋊₂₅C₂ = C₄².₁₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):25C2	448,1014
(D₄×C₂₈)⋊₂₆C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):26C2	448,1015
(D₄×C₂₈)⋊₂₇C₂ = C₄².₁₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):27C2	448,1016
(D₄×C₂₈)⋊₂₈C₂ = C₄².₁₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):28C2	448,1017
(D₄×C₂₈)⋊₂₉C₂ = C₄².₁₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):29C2	448,1018
(D₄×C₂₈)⋊₃₀C₂ = D₈×C₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):30C2	448,845
(D₄×C₂₈)⋊₃₁C₂ = C₇×D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):31C2	448,850
(D₄×C₂₈)⋊₃₂C₂ = C₇×C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):32C2	448,867
(D₄×C₂₈)⋊₃₃C₂ = C₇×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):33C2	448,871
(D₄×C₂₈)⋊₃₄C₂ = C₇×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):34C2	448,1301
(D₄×C₂₈)⋊₃₅C₂ = C₇×C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):35C2	448,1303
(D₄×C₂₈)⋊₃₆C₂ = C₇×C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):36C2	448,1308
(D₄×C₂₈)⋊₃₇C₂ = C₇×C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):37C2	448,1312
(D₄×C₂₈)⋊₃₈C₂ = C₇×C₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):38C2	448,1315
(D₄×C₂₈)⋊₃₉C₂ = C₇×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):39C2	448,1321
(D₄×C₂₈)⋊₄₀C₂ = C₇×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):40C2	448,1322
(D₄×C₂₈)⋊₄₁C₂ = C₇×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):41C2	448,1323
(D₄×C₂₈)⋊₄₂C₂ = C₇×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):42C2	448,1325
(D₄×C₂₈)⋊₄₃C₂ = C₇×D₄²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):43C2	448,1328
(D₄×C₂₈)⋊₄₄C₂ = C₇×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):44C2	448,1329
(D₄×C₂₈)⋊₄₅C₂ = C₇×D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):45C2	448,1330
(D₄×C₂₈)⋊₄₆C₂ = C₇×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):46C2	448,1331
(D₄×C₂₈)⋊₄₇C₂ = C₇×Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):47C2	448,1333
(D₄×C₂₈)⋊₄₈C₂ = C₇×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	112	(D4xC28):48C2	448,1334
(D₄×C₂₈)⋊₄₉C₂ = C₇×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):49C2	448,1336
(D₄×C₂₈)⋊₅₀C₂ = C₇×C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):50C2	448,1338
(D₄×C₂₈)⋊₅₁C₂ = C₇×C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28):51C2	448,1342
(D₄×C₂₈)⋊₅₂C₂ = C₄○D₄×C₂₈	φ: trivial image	224	(D4xC28):52C2	448,1300

Non-split extensions G=N.Q with N=D₄×C₂₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂₈).₁C₂ = C₂₈.₅₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).1C2	448,91
(D₄×C₂₈).₂C₂ = C₂₈.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).2C2	448,541
(D₄×C₂₈).₃C₂ = C₂₈.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).3C2	448,542
(D₄×C₂₈).₄C₂ = D₄.₃Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).4C2	448,543
(D₄×C₂₈).₅C₂ = D₄×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).5C2	448,544
(D₄×C₂₈).₆C₂ = C₄².₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).6C2	448,545
(D₄×C₂₈).₇C₂ = C₂₈⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).7C2	448,546
(D₄×C₂₈).₈C₂ = C₄×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).8C2	448,551
(D₄×C₂₈).₉C₂ = C₄².₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).9C2	448,552
(D₄×C₂₈).₁₀C₂ = D₄.₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).10C2	448,553
(D₄×C₂₈).₁₁C₂ = D₄×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).11C2	448,990
(D₄×C₂₈).₁₂C₂ = D₄⋊₅Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).12C2	448,992
(D₄×C₂₈).₁₃C₂ = C₄².₁₀₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).13C2	448,994
(D₄×C₂₈).₁₄C₂ = C₄².₁₀₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).14C2	448,995
(D₄×C₂₈).₁₅C₂ = D₄⋊₆Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).15C2	448,996
(D₄×C₂₈).₁₆C₂ = C₇×D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).16C2	448,129
(D₄×C₂₈).₁₇C₂ = C₇×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).17C2	448,843
(D₄×C₂₈).₁₈C₂ = C₇×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).18C2	448,844
(D₄×C₂₈).₁₉C₂ = SD₁₆×C₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).19C2	448,846
(D₄×C₂₈).₂₀C₂ = C₇×SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).20C2	448,848
(D₄×C₂₈).₂₁C₂ = C₇×D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).21C2	448,869
(D₄×C₂₈).₂₂C₂ = C₇×D₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).22C2	448,882
(D₄×C₂₈).₂₃C₂ = C₇×D₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).23C2	448,884
(D₄×C₂₈).₂₄C₂ = C₇×D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).24C2	448,886
(D₄×C₂₈).₂₅C₂ = C₇×D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).25C2	448,1332
(D₄×C₂₈).₂₆C₂ = C₇×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).26C2	448,1335
(D₄×C₂₈).₂₇C₂ = C₇×D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).27C2	448,1337
(D₄×C₂₈).₂₈C₂ = C₇×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₈	224	(D4xC28).28C2	448,1339
(D₄×C₂₈).₂₉C₂ = D₄×C₅₆	φ: trivial image	224	(D4xC28).29C2	448,842

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Extensions 1→N→G→Q→1 with N=D4×C28 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄×C₂₈ and Q=C₂