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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=D8

Direct product G=N×Q with N=C2×C14 and Q=D8
dρLabelID
D8×C2×C14224D8xC2xC14448,1352

Semidirect products G=N:Q with N=C2×C14 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1D8 = D28⋊13D4φ: D8/C4 → C22 ⊆ Aut C2×C14112(C2xC14):1D8448,266
(C2×C14)⋊2D8 = D28⋊16D4φ: D8/C4 → C22 ⊆ Aut C2×C14112(C2xC14):2D8448,570
(C2×C14)⋊3D8 = C7⋊C8⋊22D4φ: D8/C4 → C22 ⊆ Aut C2×C14224(C2xC14):3D8448,572
(C2×C14)⋊4D8 = C7×C8⋊7D4φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14):4D8448,874
(C2×C14)⋊5D8 = C56⋊29D4φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14):5D8448,649
(C2×C14)⋊6D8 = C22×D56φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14):6D8448,1193
(C2×C14)⋊7D8 = C7×C22⋊D8φ: D8/D4 → C2 ⊆ Aut C2×C14112(C2xC14):7D8448,855
(C2×C14)⋊8D8 = (C2×C14)⋊8D8φ: D8/D4 → C2 ⊆ Aut C2×C14112(C2xC14):8D8448,751
(C2×C14)⋊9D8 = C22×D4⋊D7φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14):9D8448,1245

Non-split extensions G=N.Q with N=C2×C14 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C2×C14).1D8 = C22.2D56φ: D8/C4 → C22 ⊆ Aut C2×C14112(C2xC14).1D8448,27
(C2×C14).2D8 = D56⋊2C4φ: D8/C4 → C22 ⊆ Aut C2×C141124(C2xC14).2D8448,75
(C2×C14).3D8 = (D4×C14)⋊C4φ: D8/C4 → C22 ⊆ Aut C2×C14112(C2xC14).3D8448,94
(C2×C14).4D8 = D8⋊2Dic7φ: D8/C4 → C22 ⊆ Aut C2×C141124(C2xC14).4D8448,123
(C2×C14).5D8 = C22.D56φ: D8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).5D8448,270
(C2×C14).6D8 = C16⋊D14φ: D8/C4 → C22 ⊆ Aut C2×C141124+(C2xC14).6D8448,442
(C2×C14).7D8 = C16.D14φ: D8/C4 → C22 ⊆ Aut C2×C142244-(C2xC14).7D8448,443
(C2×C14).8D8 = (C2×C14).D8φ: D8/C4 → C22 ⊆ Aut C2×C14224(C2xC14).8D8448,567
(C2×C14).9D8 = Q16⋊D14φ: D8/C4 → C22 ⊆ Aut C2×C141124+(C2xC14).9D8448,727
(C2×C14).10D8 = C56.30C23φ: D8/C4 → C22 ⊆ Aut C2×C142244(C2xC14).10D8448,728
(C2×C14).11D8 = C56.31C23φ: D8/C4 → C22 ⊆ Aut C2×C142244-(C2xC14).11D8448,729
(C2×C14).12D8 = C7×C4○D16φ: D8/C8 → C2 ⊆ Aut C2×C142242(C2xC14).12D8448,916
(C2×C14).13D8 = C56.78D4φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).13D8448,60
(C2×C14).14D8 = C112⋊5C4φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).14D8448,61
(C2×C14).15D8 = C112⋊6C4φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).15D8448,62
(C2×C14).16D8 = C2.D112φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14).16D8448,66
(C2×C14).17D8 = C28.9C42φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).17D8448,108
(C2×C14).18D8 = C2×D112φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14).18D8448,436
(C2×C14).19D8 = C2×C112⋊C2φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14).19D8448,437
(C2×C14).20D8 = D112⋊7C2φ: D8/C8 → C2 ⊆ Aut C2×C142242(C2xC14).20D8448,438
(C2×C14).21D8 = C2×Dic56φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).21D8448,439
(C2×C14).22D8 = C2×C56⋊1C4φ: D8/C8 → C2 ⊆ Aut C2×C14448(C2xC14).22D8448,639
(C2×C14).23D8 = C2×C2.D56φ: D8/C8 → C2 ⊆ Aut C2×C14224(C2xC14).23D8448,646
(C2×C14).24D8 = C7×C22.SD16φ: D8/D4 → C2 ⊆ Aut C2×C14112(C2xC14).24D8448,131
(C2×C14).25D8 = C7×D8⋊2C4φ: D8/D4 → C2 ⊆ Aut C2×C141124(C2xC14).25D8448,164
(C2×C14).26D8 = C7×C22.D8φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).26D8448,888
(C2×C14).27D8 = C7×C16⋊C22φ: D8/D4 → C2 ⊆ Aut C2×C141124(C2xC14).27D8448,917
(C2×C14).28D8 = C7×Q32⋊C2φ: D8/D4 → C2 ⊆ Aut C2×C142244(C2xC14).28D8448,918
(C2×C14).29D8 = C14.C4≀C2φ: D8/D4 → C2 ⊆ Aut C2×C14112(C2xC14).29D8448,8
(C2×C14).30D8 = D56⋊8C4φ: D8/D4 → C2 ⊆ Aut C2×C141124(C2xC14).30D8448,45
(C2×C14).31D8 = C8.4Dic14φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).31D8448,46
(C2×C14).32D8 = C8.5Dic14φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).32D8448,47
(C2×C14).33D8 = C14.D16φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).33D8448,48
(C2×C14).34D8 = C56.6D4φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).34D8448,49
(C2×C14).35D8 = C28.C42φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).35D8448,86
(C2×C14).36D8 = C14.SD32φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).36D8448,119
(C2×C14).37D8 = C14.Q32φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).37D8448,121
(C2×C14).38D8 = C2×C28.Q8φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).38D8448,496
(C2×C14).39D8 = C2×C14.D8φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).39D8448,499
(C2×C14).40D8 = (C2×C14).40D8φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).40D8448,501
(C2×C14).41D8 = C2×C7⋊D16φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).41D8448,680
(C2×C14).42D8 = D8.D14φ: D8/D4 → C2 ⊆ Aut C2×C141124(C2xC14).42D8448,681
(C2×C14).43D8 = C2×D8.D7φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).43D8448,682
(C2×C14).44D8 = C2×C7⋊SD32φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).44D8448,712
(C2×C14).45D8 = Q16.D14φ: D8/D4 → C2 ⊆ Aut C2×C142244(C2xC14).45D8448,713
(C2×C14).46D8 = C2×C7⋊Q32φ: D8/D4 → C2 ⊆ Aut C2×C14448(C2xC14).46D8448,714
(C2×C14).47D8 = C2×D4⋊Dic7φ: D8/D4 → C2 ⊆ Aut C2×C14224(C2xC14).47D8448,748
(C2×C14).48D8 = C7×C22.4Q16central extension (φ=1)448(C2xC14).48D8448,144
(C2×C14).49D8 = C7×C2.D16central extension (φ=1)224(C2xC14).49D8448,161
(C2×C14).50D8 = C7×C2.Q32central extension (φ=1)448(C2xC14).50D8448,162
(C2×C14).51D8 = C7×C16⋊3C4central extension (φ=1)448(C2xC14).51D8448,170
(C2×C14).52D8 = C7×C16⋊4C4central extension (φ=1)448(C2xC14).52D8448,171
(C2×C14).53D8 = C14×D4⋊C4central extension (φ=1)224(C2xC14).53D8448,822
(C2×C14).54D8 = C14×C2.D8central extension (φ=1)448(C2xC14).54D8448,834
(C2×C14).55D8 = C14×D16central extension (φ=1)224(C2xC14).55D8448,913
(C2×C14).56D8 = C14×SD32central extension (φ=1)224(C2xC14).56D8448,914
(C2×C14).57D8 = C14×Q32central extension (φ=1)448(C2xC14).57D8448,915

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