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Extensions 1→N→G→Q→1 with N=C2×D14⋊C4 and Q=C2

Direct product G=N×Q with N=C2×D14⋊C4 and Q=C2
dρLabelID
C22×D14⋊C4224C2^2xD14:C4448,1240

Semidirect products G=N:Q with N=C2×D14⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D14⋊C4)⋊1C2 = (C2×Dic7)⋊3D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):1C2448,206
(C2×D14⋊C4)⋊2C2 = (C2×C4)⋊6D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):2C2448,473
(C2×D14⋊C4)⋊3C2 = C23.44D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):3C2448,489
(C2×D14⋊C4)⋊4C2 = C24.12D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):4C2448,490
(C2×D14⋊C4)⋊5C2 = C24.13D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):5C2448,491
(C2×D14⋊C4)⋊6C2 = C23.45D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):6C2448,492
(C2×D14⋊C4)⋊7C2 = C24.14D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):7C2448,493
(C2×D14⋊C4)⋊8C2 = C23⋊2D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):8C2448,494
(C2×D14⋊C4)⋊9C2 = C23.16D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):9C2448,495
(C2×D14⋊C4)⋊10C2 = (C2×D28)⋊10C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):10C2448,522
(C2×D14⋊C4)⋊11C2 = C23.28D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):11C2448,747
(C2×D14⋊C4)⋊12C2 = C2×C4.D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):12C2448,929
(C2×D14⋊C4)⋊13C2 = C2×C23.23D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):13C2448,1242
(C2×D14⋊C4)⋊14C2 = C2×C28⋊7D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):14C2448,1243
(C2×D14⋊C4)⋊15C2 = (C2×C28)⋊5D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):15C2448,205
(C2×D14⋊C4)⋊16C2 = C2×C22⋊D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):16C2448,940
(C2×D14⋊C4)⋊17C2 = C2×D14.D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):17C2448,941
(C2×D14⋊C4)⋊18C2 = C2×Dic7.D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):18C2448,944
(C2×D14⋊C4)⋊19C2 = C2×C22.D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):19C2448,945
(C2×D14⋊C4)⋊20C2 = C2×C4⋊D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):20C2448,959
(C2×D14⋊C4)⋊21C2 = D4⋊5D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):21C2448,1007
(C2×D14⋊C4)⋊22C2 = C42⋊16D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):22C2448,1009
(C2×D14⋊C4)⋊23C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):23C2448,1107
(C2×D14⋊C4)⋊24C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):24C2448,1111
(C2×D14⋊C4)⋊25C2 = C14.372+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):25C2448,1058
(C2×D14⋊C4)⋊26C2 = C14.462+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):26C2448,1070
(C2×D14⋊C4)⋊27C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):27C2448,1097
(C2×D14⋊C4)⋊28C2 = (C2×C4)⋊9D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):28C2448,199
(C2×D14⋊C4)⋊29C2 = C2×D7×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):29C2448,937
(C2×D14⋊C4)⋊30C2 = C2×Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):30C2448,938
(C2×D14⋊C4)⋊31C2 = C2×D14⋊D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):31C2448,942
(C2×D14⋊C4)⋊32C2 = C2×D28⋊C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):32C2448,956
(C2×D14⋊C4)⋊33C2 = C2×D14.5D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):33C2448,958
(C2×D14⋊C4)⋊34C2 = C42⋊11D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):34C2448,998
(C2×D14⋊C4)⋊35C2 = C42⋊17D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):35C2448,1013
(C2×D14⋊C4)⋊36C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):36C2448,1063
(C2×D14⋊C4)⋊37C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):37C2448,1090
(C2×D14⋊C4)⋊38C2 = (C2×C4)⋊3D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):38C2448,525
(C2×D14⋊C4)⋊39C2 = C24.21D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):39C2448,757
(C2×D14⋊C4)⋊40C2 = C42⋊10D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):40C2448,980
(C2×D14⋊C4)⋊41C2 = C2×C23⋊D14φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):41C2448,1252
(C2×D14⋊C4)⋊42C2 = C2×Dic7⋊D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):42C2448,1255
(C2×D14⋊C4)⋊43C2 = C2×C28.23D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4):43C2448,1267
(C2×D14⋊C4)⋊44C2 = C14.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4):44C2448,1282
(C2×D14⋊C4)⋊45C2 = C2×C4×D28φ: trivial image224(C2xD14:C4):45C2448,926
(C2×D14⋊C4)⋊46C2 = C2×C4×C7⋊D4φ: trivial image224(C2xD14:C4):46C2448,1241

Non-split extensions G=N.Q with N=C2×D14⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D14⋊C4).1C2 = C22.58(D4×D7)φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).1C2448,198
(C2×D14⋊C4).2C2 = D14⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).2C2448,201
(C2×D14⋊C4).3C2 = D14⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).3C2448,202
(C2×D14⋊C4).4C2 = D14⋊C4⋊5C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).4C2448,203
(C2×D14⋊C4).5C2 = C2.(C4×D28)φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).5C2448,204
(C2×D14⋊C4).6C2 = (C2×C4).20D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).6C2448,207
(C2×D14⋊C4).7C2 = (C2×C4).21D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).7C2448,208
(C2×D14⋊C4).8C2 = (C22×D7).9D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).8C2448,209
(C2×D14⋊C4).9C2 = (C22×D7).Q8φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).9C2448,210
(C2×D14⋊C4).10C2 = (C2×C42)⋊D7φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).10C2448,474
(C2×D14⋊C4).11C2 = C4⋊(D14⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).11C2448,521
(C2×D14⋊C4).12C2 = D14⋊C4⋊6C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).12C2448,523
(C2×D14⋊C4).13C2 = D14⋊C4⋊7C4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).13C2448,524
(C2×D14⋊C4).14C2 = (C2×C28).289D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).14C2448,526
(C2×D14⋊C4).15C2 = (C2×C28).290D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).15C2448,527
(C2×D14⋊C4).16C2 = C2×C42⋊2D7φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).16C2448,931
(C2×D14⋊C4).17C2 = (C2×C28).33D4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).17C2448,211
(C2×D14⋊C4).18C2 = C2×D14⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).18C2448,961
(C2×D14⋊C4).19C2 = C2×D14⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).19C2448,962
(C2×D14⋊C4).20C2 = C14.512+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4).20C2448,1087
(C2×D14⋊C4).21C2 = (C22×D7)⋊C8φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4112(C2xD14:C4).21C2448,25
(C2×D14⋊C4).22C2 = D14⋊C42φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).22C2448,200
(C2×D14⋊C4).23C2 = C2×C4⋊C4⋊7D7φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).23C2448,955
(C2×D14⋊C4).24C2 = (C2×C4).45D28φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).24C2448,528
(C2×D14⋊C4).25C2 = (C22×Q8)⋊D7φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).25C2448,765
(C2×D14⋊C4).26C2 = C2×C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).26C2448,965
(C2×D14⋊C4).27C2 = C2×D14⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×D14⋊C4224(C2xD14:C4).27C2448,1266
(C2×D14⋊C4).28C2 = C4×D14⋊C4φ: trivial image224(C2xD14:C4).28C2448,472
(C2×D14⋊C4).29C2 = C2×C42⋊D7φ: trivial image224(C2xD14:C4).29C2448,925

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