Extensions 1→N→G→Q→1 with N=D4 and Q=C23

Direct product G=N×Q with N=D4 and Q=C23

Semidirect products G=N:Q with N=D4 and Q=C23
extensionφ:Q→Out NdρLabelID
D41C23 = C22×D8φ: C23/C22C2 ⊆ Out D432D4:1C2^364,250
D42C23 = C2×C8⋊C22φ: C23/C22C2 ⊆ Out D416D4:2C2^364,254
D43C23 = C22×C4○D4φ: trivial image32D4:3C2^364,263
D44C23 = C2×2+ 1+4φ: trivial image16D4:4C2^364,264

Non-split extensions G=N.Q with N=D4 and Q=C23
extensionφ:Q→Out NdρLabelID
D4.1C23 = C22×SD16φ: C23/C22C2 ⊆ Out D432D4.1C2^364,251
D4.2C23 = C2×C4○D8φ: C23/C22C2 ⊆ Out D432D4.2C2^364,253
D4.3C23 = C2×C8.C22φ: C23/C22C2 ⊆ Out D432D4.3C2^364,255
D4.4C23 = D8⋊C22φ: C23/C22C2 ⊆ Out D4164D4.4C2^364,256
D4.5C23 = D4○D8φ: C23/C22C2 ⊆ Out D4164+D4.5C2^364,257
D4.6C23 = D4○SD16φ: C23/C22C2 ⊆ Out D4164D4.6C2^364,258
D4.7C23 = Q8○D8φ: C23/C22C2 ⊆ Out D4324-D4.7C2^364,259
D4.8C23 = C2×2- 1+4φ: trivial image32D4.8C2^364,265
D4.9C23 = C2.C25φ: trivial image164D4.9C2^364,266