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Extensions 1→N→G→Q→1 with N=C2×C4.Dic7 and Q=C2

Direct product G=N×Q with N=C2×C4.Dic7 and Q=C2
dρLabelID
C22×C4.Dic7224C2^2xC4.Dic7448,1234

Semidirect products G=N:Q with N=C2×C4.Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic7)⋊1C2 = D14⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):1C2448,262
(C2×C4.Dic7)⋊2C2 = Dic7⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):2C2448,263
(C2×C4.Dic7)⋊3C2 = C2×Dic14⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):3C2448,461
(C2×C4.Dic7)⋊4C2 = C42.47D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):4C2448,545
(C2×C4.Dic7)⋊5C2 = C28⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):5C2448,546
(C2×C4.Dic7)⋊6C2 = (C22×C8)⋊D7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):6C2448,644
(C2×C4.Dic7)⋊7C2 = C24.4Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):7C2448,741
(C2×C4.Dic7)⋊8C2 = C4○D28⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):8C2448,500
(C2×C4.Dic7)⋊9C2 = C4⋊C4⋊36D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):9C2448,535
(C2×C4.Dic7)⋊10C2 = C42⋊4D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):10C2448,539
(C2×C4.Dic7)⋊11C2 = C4⋊D4⋊D7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):11C2448,573
(C2×C4.Dic7)⋊12C2 = C7⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):12C2448,576
(C2×C4.Dic7)⋊13C2 = C7⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):13C2448,583
(C2×C4.Dic7)⋊14C2 = D14⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):14C2448,660
(C2×C4.Dic7)⋊15C2 = C2×C28.46D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):15C2448,664
(C2×C4.Dic7)⋊16C2 = M4(2).31D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):16C2448,666
(C2×C4.Dic7)⋊17C2 = (D4×C14)⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):17C2448,749
(C2×C4.Dic7)⋊18C2 = C2×C28.D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):18C2448,750
(C2×C4.Dic7)⋊19C2 = C4○D4⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):19C2448,766
(C2×C4.Dic7)⋊20C2 = (D4×C14).11C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):20C2448,768
(C2×C4.Dic7)⋊21C2 = C2×D4⋊2Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):21C2448,769
(C2×C4.Dic7)⋊22C2 = (D4×C14)⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):22C2448,770
(C2×C4.Dic7)⋊23C2 = (D4×C14).16C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):23C2448,771
(C2×C4.Dic7)⋊24C2 = C2×D7×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):24C2448,1196
(C2×C4.Dic7)⋊25C2 = C28.70C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):25C2448,1198
(C2×C4.Dic7)⋊26C2 = C2×D4.D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):26C2448,1246
(C2×C4.Dic7)⋊27C2 = C2×C28.C23φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):27C2448,1261
(C2×C4.Dic7)⋊28C2 = C2×Q8.Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):28C2448,1271
(C2×C4.Dic7)⋊29C2 = C28.76C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):29C2448,1272
(C2×C4.Dic7)⋊30C2 = C2×D4⋊D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7):30C2448,1273
(C2×C4.Dic7)⋊31C2 = C28.C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7):31C2448,1275
(C2×C4.Dic7)⋊32C2 = C2×D4.9D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7):32C2448,1276
(C2×C4.Dic7)⋊33C2 = C2×D28.2C4φ: trivial image224(C2xC4.Dic7):33C2448,1191

Non-split extensions G=N.Q with N=C2×C4.Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic7).1C2 = C28.8C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7).1C2448,80
(C2×C4.Dic7).2C2 = C28.10C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).2C2448,109
(C2×C4.Dic7).3C2 = C28⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).3C2448,458
(C2×C4.Dic7).4C2 = Dic7⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).4C2448,636
(C2×C4.Dic7).5C2 = C2×C56.C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).5C2448,641
(C2×C4.Dic7).6C2 = C28.(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).6C2448,87
(C2×C4.Dic7).7C2 = C42⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).7C2448,88
(C2×C4.Dic7).8C2 = C28.2C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7112(C2xC4.Dic7).8C2448,89
(C2×C4.Dic7).9C2 = (C2×C28).Q8φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).9C2448,90
(C2×C4.Dic7).10C2 = M4(2)⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).10C2448,111
(C2×C4.Dic7).11C2 = (C2×C56)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).11C2448,113
(C2×C4.Dic7).12C2 = C28.4C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).12C2448,115
(C2×C4.Dic7).13C2 = M4(2)⋊4Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).13C2448,116
(C2×C4.Dic7).14C2 = C28.21C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).14C2448,117
(C2×C4.Dic7).15C2 = C4.Dic7⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).15C2448,498
(C2×C4.Dic7).16C2 = C28.(C2×Q8)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).16C2448,529
(C2×C4.Dic7).17C2 = C28.5C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).17C2448,531
(C2×C4.Dic7).18C2 = C42.43D14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).18C2448,533
(C2×C4.Dic7).19C2 = (C2×C4).47D28φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).19C2448,538
(C2×C4.Dic7).20C2 = C7⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).20C2448,586
(C2×C4.Dic7).21C2 = M4(2)×Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).21C2448,651
(C2×C4.Dic7).22C2 = Dic7⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).22C2448,652
(C2×C4.Dic7).23C2 = C2×C28.53D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).23C2448,657
(C2×C4.Dic7).24C2 = C23.Dic14φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).24C2448,658
(C2×C4.Dic7).25C2 = M4(2).Dic7φ: C2/C1 → C2 ⊆ Out C2×C4.Dic71124(C2xC4.Dic7).25C2448,659
(C2×C4.Dic7).26C2 = C2×C4.12D28φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).26C2448,670
(C2×C4.Dic7).27C2 = (Q8×C14)⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).27C2448,759
(C2×C4.Dic7).28C2 = C2×C28.10D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic7224(C2xC4.Dic7).28C2448,760
(C2×C4.Dic7).29C2 = C4×C4.Dic7φ: trivial image224(C2xC4.Dic7).29C2448,456
(C2×C4.Dic7).30C2 = C28.12C42φ: trivial image224(C2xC4.Dic7).30C2448,635

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