Extensions 1→N→G→Q→1 with N=Q8 and Q=C23

Direct product G=N×Q with N=Q8 and Q=C23

Semidirect products G=N:Q with N=Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
Q81C23 = C22×SD16φ: C23/C22C2 ⊆ Out Q832Q8:1C2^364,251
Q82C23 = C2×C8⋊C22φ: C23/C22C2 ⊆ Out Q816Q8:2C2^364,254
Q83C23 = C22×C4○D4φ: trivial image32Q8:3C2^364,263
Q84C23 = C2×2+ 1+4φ: trivial image16Q8:4C2^364,264

Non-split extensions G=N.Q with N=Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
Q8.1C23 = C22×Q16φ: C23/C22C2 ⊆ Out Q864Q8.1C2^364,252
Q8.2C23 = C2×C4○D8φ: C23/C22C2 ⊆ Out Q832Q8.2C2^364,253
Q8.3C23 = C2×C8.C22φ: C23/C22C2 ⊆ Out Q832Q8.3C2^364,255
Q8.4C23 = D8⋊C22φ: C23/C22C2 ⊆ Out Q8164Q8.4C2^364,256
Q8.5C23 = D4○D8φ: C23/C22C2 ⊆ Out Q8164+Q8.5C2^364,257
Q8.6C23 = D4○SD16φ: C23/C22C2 ⊆ Out Q8164Q8.6C2^364,258
Q8.7C23 = Q8○D8φ: C23/C22C2 ⊆ Out Q8324-Q8.7C2^364,259
Q8.8C23 = C2×2- 1+4φ: trivial image32Q8.8C2^364,265
Q8.9C23 = C2.C25φ: trivial image164Q8.9C2^364,266