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Extensions 1→N→G→Q→1 with N=C22×Q8 and Q=C14

Direct product G=N×Q with N=C22×Q8 and Q=C14
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=C22×Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C22×Q8)⋊1C14 = C7×C23⋊Q8φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):1C14448,801
(C22×Q8)⋊2C14 = C7×Q8⋊D4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):2C14448,856
(C22×Q8)⋊3C14 = C14×C22⋊Q8φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):3C14448,1306
(C22×Q8)⋊4C14 = C14×C4.4D4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):4C14448,1309
(C22×Q8)⋊5C14 = C7×C23.38C23φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):5C14448,1319
(C22×Q8)⋊6C14 = C7×Q8⋊5D4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):6C14448,1331
(C22×Q8)⋊7C14 = C7×D4×Q8φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):7C14448,1332
(C22×Q8)⋊8C14 = SD16×C2×C14φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):8C14448,1353
(C22×Q8)⋊9C14 = C14×C8.C22φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):9C14448,1357
(C22×Q8)⋊10C14 = C14×2- 1+4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8):10C14448,1390
(C22×Q8)⋊11C14 = C4○D4×C2×C14φ: trivial image224(C2^2xQ8):11C14448,1388

Non-split extensions G=N.Q with N=C22×Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C22×Q8).1C14 = C7×C23.67C23φ: C14/C7 → C2 ⊆ Out C22×Q8448(C2^2xQ8).1C14448,799
(C22×Q8).2C14 = C7×C23.78C23φ: C14/C7 → C2 ⊆ Out C22×Q8448(C2^2xQ8).2C14448,803
(C22×Q8).3C14 = C14×C4.10D4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8).3C14448,820
(C22×Q8).4C14 = C14×Q8⋊C4φ: C14/C7 → C2 ⊆ Out C22×Q8448(C2^2xQ8).4C14448,823
(C22×Q8).5C14 = C7×C23.38D4φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8).5C14448,827
(C22×Q8).6C14 = C7×C22⋊Q16φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8).6C14448,859
(C22×Q8).7C14 = C7×C23.32C23φ: C14/C7 → C2 ⊆ Out C22×Q8224(C2^2xQ8).7C14448,1302
(C22×Q8).8C14 = C14×C4⋊Q8φ: C14/C7 → C2 ⊆ Out C22×Q8448(C2^2xQ8).8C14448,1314
(C22×Q8).9C14 = Q16×C2×C14φ: C14/C7 → C2 ⊆ Out C22×Q8448(C2^2xQ8).9C14448,1354
(C22×Q8).10C14 = Q8×C2×C28φ: trivial image448(C2^2xQ8).10C14448,1299

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