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Extensions 1→N→G→Q→1 with N=C2×C4○D4 and Q=D7

Direct product G=N×Q with N=C2×C4○D4 and Q=D7
dρLabelID
C2×D7×C4○D4112C2xD7xC4oD4448,1375

Semidirect products G=N:Q with N=C2×C4○D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C4○D4)⋊1D7 = (C7×D4)⋊14D4φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):1D7448,772
(C2×C4○D4)⋊2D7 = C2×D4⋊D14φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4):2D7448,1273
(C2×C4○D4)⋊3D7 = C2×D4.8D14φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):3D7448,1274
(C2×C4○D4)⋊4D7 = C28.C24φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4):4D7448,1275
(C2×C4○D4)⋊5D7 = C14.1042- (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):5D7448,1277
(C2×C4○D4)⋊6D7 = (C2×C28)⋊15D4φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4):6D7448,1281
(C2×C4○D4)⋊7D7 = C14.1452+ (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4):7D7448,1282
(C2×C4○D4)⋊8D7 = C14.1462+ (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4):8D7448,1283
(C2×C4○D4)⋊9D7 = C14.1072- (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):9D7448,1284
(C2×C4○D4)⋊10D7 = (C2×C28)⋊17D4φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):10D7448,1285
(C2×C4○D4)⋊11D7 = C14.1082- (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):11D7448,1286
(C2×C4○D4)⋊12D7 = C14.1482+ (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):12D7448,1287
(C2×C4○D4)⋊13D7 = C2×D4⋊8D14φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4):13D7448,1376
(C2×C4○D4)⋊14D7 = C2×D4.10D14φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4):14D7448,1377
(C2×C4○D4)⋊15D7 = C14.C25φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4):15D7448,1378

Non-split extensions G=N.Q with N=C2×C4○D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C4○D4).1D7 = C4○D4⋊Dic7φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).1D7448,766
(C2×C4○D4).2D7 = Q8.(C2×Dic7)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).2D7448,767
(C2×C4○D4).3D7 = (D4×C14).11C4φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).3D7448,768
(C2×C4○D4).4D7 = C2×Q8⋊2Dic7φ: D7/C7 → C2 ⊆ Out C2×C4○D4112(C2xC4oD4).4D7448,769
(C2×C4○D4).5D7 = (D4×C14)⋊9C4φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4).5D7448,770
(C2×C4○D4).6D7 = (D4×C14).16C4φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4).6D7448,771
(C2×C4○D4).7D7 = (C7×D4).32D4φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).7D7448,773
(C2×C4○D4).8D7 = (D4×C14)⋊10C4φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4).8D7448,774
(C2×C4○D4).9D7 = C28.76C24φ: D7/C7 → C2 ⊆ Out C2×C4○D41124(C2xC4oD4).9D7448,1272
(C2×C4○D4).10D7 = C2×D4.9D14φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).10D7448,1276
(C2×C4○D4).11D7 = C14.1052- (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).11D7448,1278
(C2×C4○D4).12D7 = C14.1442+ (1+4)φ: D7/C7 → C2 ⊆ Out C2×C4○D4224(C2xC4oD4).12D7448,1280
(C2×C4○D4).13D7 = C2×D4.Dic7φ: trivial image224(C2xC4oD4).13D7448,1271
(C2×C4○D4).14D7 = C4○D4×Dic7φ: trivial image224(C2xC4oD4).14D7448,1279

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