# Extensions 1→N→G→Q→1 with N=C22×D4 and Q=D7

Direct product G=N×Q with N=C22×D4 and Q=D7
dρLabelID
C22×D4×D7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=C22×D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C22×D4)⋊1D7 = (C2×C14)⋊8D8φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):1D7448,751
(C22×D4)⋊2D7 = C24.21D14φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4):2D7448,757
(C22×D4)⋊3D7 = C22×D4⋊D7φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4):3D7448,1245
(C22×D4)⋊4D7 = C2×D4.D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):4D7448,1246
(C22×D4)⋊5D7 = C2×C23⋊D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):5D7448,1252
(C22×D4)⋊6D7 = C2×C282D4φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4):6D7448,1253
(C22×D4)⋊7D7 = D4×C7⋊D4φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):7D7448,1254
(C22×D4)⋊8D7 = C2×Dic7⋊D4φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4):8D7448,1255
(C22×D4)⋊9D7 = C2×C28⋊D4φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4):9D7448,1256
(C22×D4)⋊10D7 = C247D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):10D7448,1257
(C22×D4)⋊11D7 = C24.41D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):11D7448,1258
(C22×D4)⋊12D7 = C24.42D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):12D7448,1259
(C22×D4)⋊13D7 = C2×D46D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4):13D7448,1371
(C22×D4)⋊14D7 = C22×D42D7φ: trivial image224(C2^2xD4):14D7448,1370

Non-split extensions G=N.Q with N=C22×D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C22×D4).1D7 = C2×D4⋊Dic7φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).1D7448,748
(C22×D4).2D7 = (D4×C14)⋊6C4φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4).2D7448,749
(C22×D4).3D7 = C2×C28.D4φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4).3D7448,750
(C22×D4).4D7 = (C7×D4).31D4φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4).4D7448,752
(C22×D4).5D7 = C2×C23⋊Dic7φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4).5D7448,753
(C22×D4).6D7 = C24.18D14φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).6D7448,754
(C22×D4).7D7 = C24.19D14φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).7D7448,755
(C22×D4).8D7 = C24.20D14φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).8D7448,756
(C22×D4).9D7 = C22×D4.D7φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).9D7448,1247
(C22×D4).10D7 = C2×C23.18D14φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).10D7448,1249
(C22×D4).11D7 = C2×C28.17D4φ: D7/C7C2 ⊆ Out C22×D4224(C2^2xD4).11D7448,1250
(C22×D4).12D7 = C24.38D14φ: D7/C7C2 ⊆ Out C22×D4112(C2^2xD4).12D7448,1251
(C22×D4).13D7 = C2×D4×Dic7φ: trivial image224(C2^2xD4).13D7448,1248

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