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Extensions 1→N→G→Q→1 with N=C7×C4.Q8 and Q=C2

Direct product G=N×Q with N=C7×C4.Q8 and Q=C2
dρLabelID
C14×C4.Q8448C14xC4.Q8448,833

Semidirect products G=N:Q with N=C7×C4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.Q8)⋊1C2 = D56⋊8C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q81124(C7xC4.Q8):1C2448,45
(C7×C4.Q8)⋊2C2 = C8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):2C2448,395
(C7×C4.Q8)⋊3C2 = C56⋊7D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):3C2448,399
(C7×C4.Q8)⋊4C2 = C8.2D28φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):4C2448,402
(C7×C4.Q8)⋊5C2 = D56⋊9C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):5C2448,403
(C7×C4.Q8)⋊6C2 = Dic7⋊8SD16φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):6C2448,386
(C7×C4.Q8)⋊7C2 = D7×C4.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):7C2448,393
(C7×C4.Q8)⋊8C2 = (C8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):8C2448,394
(C7×C4.Q8)⋊9C2 = C8⋊8D28φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):9C2448,398
(C7×C4.Q8)⋊10C2 = C7×D8⋊2C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q81124(C7xC4.Q8):10C2448,164
(C7×C4.Q8)⋊11C2 = C7×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):11C2448,836
(C7×C4.Q8)⋊12C2 = C7×D8⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):12C2448,850
(C7×C4.Q8)⋊13C2 = C7×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):13C2448,877
(C7×C4.Q8)⋊14C2 = C7×C8.D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):14C2448,878
(C7×C4.Q8)⋊15C2 = D14.2SD16φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):15C2448,396
(C7×C4.Q8)⋊16C2 = D14.4SD16φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):16C2448,397
(C7×C4.Q8)⋊17C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):17C2448,400
(C7×C4.Q8)⋊18C2 = C28.(C4○D4)φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):18C2448,401
(C7×C4.Q8)⋊19C2 = D28⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):19C2448,404
(C7×C4.Q8)⋊20C2 = D28.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):20C2448,405
(C7×C4.Q8)⋊21C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):21C2448,873
(C7×C4.Q8)⋊22C2 = C7×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):22C2448,884
(C7×C4.Q8)⋊23C2 = C7×D4.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):23C2448,886
(C7×C4.Q8)⋊24C2 = C7×C23.46D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):24C2448,889
(C7×C4.Q8)⋊25C2 = C7×C23.19D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):25C2448,890
(C7×C4.Q8)⋊26C2 = C7×C23.47D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):26C2448,891
(C7×C4.Q8)⋊27C2 = C7×C23.20D4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8224(C7xC4.Q8):27C2448,893
(C7×C4.Q8)⋊28C2 = C7×C23.25D4φ: trivial image224(C7xC4.Q8):28C2448,835
(C7×C4.Q8)⋊29C2 = SD16×C28φ: trivial image224(C7xC4.Q8):29C2448,846

Non-split extensions G=N.Q with N=C7×C4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.Q8).1C2 = C56.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q81124(C7xC4.Q8).1C2448,44
(C7×C4.Q8).2C2 = Dic28⋊9C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).2C2448,387
(C7×C4.Q8).3C2 = C56⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).3C2448,390
(C7×C4.Q8).4C2 = C56⋊5Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).4C2448,389
(C7×C4.Q8).5C2 = C56.8Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).5C2448,392
(C7×C4.Q8).6C2 = C7×C8.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q81124(C7xC4.Q8).6C2448,169
(C7×C4.Q8).7C2 = C7×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).7C2448,849
(C7×C4.Q8).8C2 = C7×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).8C2448,909
(C7×C4.Q8).9C2 = Dic14⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).9C2448,388
(C7×C4.Q8).10C2 = Dic14.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).10C2448,391
(C7×C4.Q8).11C2 = C7×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).11C2448,883
(C7×C4.Q8).12C2 = C7×Q8.Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).12C2448,887
(C7×C4.Q8).13C2 = C7×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).13C2448,906
(C7×C4.Q8).14C2 = C7×C8.5Q8φ: C2/C1 → C2 ⊆ Out C7×C4.Q8448(C7xC4.Q8).14C2448,907

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