Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=C14

Direct product G=N×Q with N=C4×Q8 and Q=C14
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C4×Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C4×Q8)⋊1C14 = SD16×C28φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):1C14448,846
(C4×Q8)⋊2C14 = C7×SD16⋊C4φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):2C14448,848
(C4×Q8)⋊3C14 = C7×C4⋊SD16φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):3C14448,868
(C4×Q8)⋊4C14 = C7×Q8.D4φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):4C14448,872
(C4×Q8)⋊5C14 = C7×C23.32C23φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):5C14448,1302
(C4×Q8)⋊6C14 = C7×C23.33C23φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):6C14448,1303
(C4×Q8)⋊7C14 = C7×C23.36C23φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):7C14448,1312
(C4×Q8)⋊8C14 = C7×C23.37C23φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):8C14448,1316
(C4×Q8)⋊9C14 = C7×C22.35C24φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):9C14448,1324
(C4×Q8)⋊10C14 = C7×C22.36C24φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):10C14448,1325
(C4×Q8)⋊11C14 = C7×Q85D4φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):11C14448,1331
(C4×Q8)⋊12C14 = C7×D4×Q8φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):12C14448,1332
(C4×Q8)⋊13C14 = C7×Q86D4φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):13C14448,1333
(C4×Q8)⋊14C14 = C7×C22.46C24φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):14C14448,1335
(C4×Q8)⋊15C14 = C7×D43Q8φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):15C14448,1337
(C4×Q8)⋊16C14 = C7×C22.50C24φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):16C14448,1339
(C4×Q8)⋊17C14 = C7×C22.53C24φ: C14/C7C2 ⊆ Out C4×Q8224(C4xQ8):17C14448,1342
(C4×Q8)⋊18C14 = C4○D4×C28φ: trivial image224(C4xQ8):18C14448,1300

Non-split extensions G=N.Q with N=C4×Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C4×Q8).1C14 = C7×Q8⋊C8φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).1C14448,130
(C4×Q8).2C14 = Q16×C28φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).2C14448,847
(C4×Q8).3C14 = C7×Q16⋊C4φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).3C14448,849
(C4×Q8).4C14 = C7×C84Q8φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).4C14448,854
(C4×Q8).5C14 = C7×C42Q16φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).5C14448,870
(C4×Q8).6C14 = C7×Q8⋊Q8φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).6C14448,883
(C4×Q8).7C14 = C7×C4.Q16φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).7C14448,885
(C4×Q8).8C14 = C7×Q8.Q8φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).8C14448,887
(C4×Q8).9C14 = C7×Q83Q8φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).9C14448,1340
(C4×Q8).10C14 = C7×Q82φ: C14/C7C2 ⊆ Out C4×Q8448(C4xQ8).10C14448,1341
(C4×Q8).11C14 = Q8×C56φ: trivial image448(C4xQ8).11C14448,853

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