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Extensions 1→N→G→Q→1 with N=C8⋊C4 and Q=C4

Direct product G=N×Q with N=C8⋊C4 and Q=C4
dρLabelID
C4×C8⋊C4128C4xC8:C4128,457

Semidirect products G=N:Q with N=C8⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
C8⋊C4⋊1C4 = C8⋊C4⋊C4φ: C4/C1 → C4 ⊆ Out C8⋊C4168+C8:C4:1C4128,138
C8⋊C4⋊2C4 = (C2×D4).D4φ: C4/C1 → C4 ⊆ Out C8⋊C4328-C8:C4:2C4128,139
C8⋊C4⋊3C4 = C42.4Q8φ: C4/C1 → C4 ⊆ Out C8⋊C432C8:C4:3C4128,17
C8⋊C4⋊4C4 = C42.6Q8φ: C4/C1 → C4 ⊆ Out C8⋊C432C8:C4:4C4128,20
C8⋊C4⋊5C4 = C8⋊C4⋊5C4φ: C4/C1 → C4 ⊆ Out C8⋊C4168+C8:C4:5C4128,144
C8⋊C4⋊6C4 = C8.5C42φ: C4/C2 → C2 ⊆ Out C8⋊C432C8:C4:6C4128,505
C8⋊C4⋊7C4 = C8⋊C42φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:7C4128,508
C8⋊C4⋊8C4 = C8.(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C8⋊C4324C8:C4:8C4128,565
C8⋊C4⋊9C4 = C42.26Q8φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:9C4128,579
C8⋊C4⋊10C4 = C42.7Q8φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:10C4128,27
C8⋊C4⋊11C4 = C42.9Q8φ: C4/C2 → C2 ⊆ Out C8⋊C432C8:C4:11C4128,32
C8⋊C4⋊12C4 = C43.C2φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:12C4128,477
C8⋊C4⋊13C4 = (C4×C8)⋊12C4φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:13C4128,478
C8⋊C4⋊14C4 = C8.16C42φ: C4/C2 → C2 ⊆ Out C8⋊C4324C8:C4:14C4128,479
C8⋊C4⋊15C4 = C4⋊C8⋊14C4φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:15C4128,503
C8⋊C4⋊16C4 = C42.24Q8φ: C4/C2 → C2 ⊆ Out C8⋊C4128C8:C4:16C4128,568
C8⋊C4⋊17C4 = C8⋊C4⋊17C4φ: C4/C2 → C2 ⊆ Out C8⋊C4164C8:C4:17C4128,573
C8⋊C4⋊18C4 = C2.C43φ: trivial image128C8:C4:18C4128,458

Non-split extensions G=N.Q with N=C8⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
C8⋊C4.1C4 = C42.23D4φ: C4/C1 → C4 ⊆ Out C8⋊C464C8:C4.1C4128,19
C8⋊C4.2C4 = C42.25D4φ: C4/C1 → C4 ⊆ Out C8⋊C464C8:C4.2C4128,22
C8⋊C4.3C4 = C8⋊C4.C4φ: C4/C1 → C4 ⊆ Out C8⋊C4328-C8:C4.3C4128,145
C8⋊C4.4C4 = M4(2)⋊1C8φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.4C4128,297
C8⋊C4.5C4 = C8.6C42φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.5C4128,510
C8⋊C4.6C4 = C42.106D4φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.6C4128,581
C8⋊C4.7C4 = M4(2).1C8φ: C4/C2 → C2 ⊆ Out C8⋊C4324C8:C4.7C4128,885
C8⋊C4.8C4 = C8.5M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C4164C8:C4.8C4128,897
C8⋊C4.9C4 = C42.388D4φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.9C4128,31
C8⋊C4.10C4 = C42.370D4φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.10C4128,34
C8⋊C4.11C4 = C8⋊9M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.11C4128,183
C8⋊C4.12C4 = C82⋊15C2φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.12C4128,185
C8⋊C4.13C4 = C8⋊6M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.13C4128,187
C8⋊C4.14C4 = C8⋊1M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.14C4128,301
C8⋊C4.15C4 = C42.104D4φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.15C4128,570
C8⋊C4.16C4 = C2×C16⋊C4φ: C4/C2 → C2 ⊆ Out C8⋊C432C8:C4.16C4128,841
C8⋊C4.17C4 = C4⋊C4.7C8φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.17C4128,883
C8⋊C4.18C4 = C8.12M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C464C8:C4.18C4128,896
C8⋊C4.19C4 = C8.19M4(2)φ: C4/C2 → C2 ⊆ Out C8⋊C4324C8:C4.19C4128,898
C8⋊C4.20C4 = C8×M4(2)φ: trivial image64C8:C4.20C4128,181
C8⋊C4.21C4 = C16○2M5(2)φ: trivial image64C8:C4.21C4128,840

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