Extensions 1→N→G→Q→1 with N=C8:C22 and Q=C22

Direct product G=NxQ with N=C8:C22 and Q=C22
dρLabelID
C22xC8:C2232C2^2xC8:C2^2128,2310

Semidirect products G=N:Q with N=C8:C22 and Q=C22
extensionφ:Q→Out NdρLabelID
C8:C22:1C22 = D8:11D4φ: C22/C1C22 ⊆ Out C8:C22168+C8:C2^2:1C2^2128,2020
C8:C22:2C22 = D8oSD16φ: C22/C1C22 ⊆ Out C8:C22324C8:C2^2:2C2^2128,2022
C8:C22:3C22 = D8oD8φ: C22/C1C22 ⊆ Out C8:C22164+C8:C2^2:3C2^2128,2024
C8:C22:4C22 = C2xD4:4D4φ: C22/C2C2 ⊆ Out C8:C2216C8:C2^2:4C2^2128,1746
C8:C22:5C22 = C2xD4.8D4φ: C22/C2C2 ⊆ Out C8:C2232C8:C2^2:5C2^2128,1748
C8:C22:6C22 = C42.313C23φ: C22/C2C2 ⊆ Out C8:C22164C8:C2^2:6C2^2128,1750
C8:C22:7C22 = M4(2):C23φ: C22/C2C2 ⊆ Out C8:C22168+C8:C2^2:7C2^2128,1751
C8:C22:8C22 = M4(2).C23φ: C22/C2C2 ⊆ Out C8:C22328-C8:C2^2:8C2^2128,1752
C8:C22:9C22 = C42.12C23φ: C22/C2C2 ⊆ Out C8:C22168+C8:C2^2:9C2^2128,1753
C8:C22:10C22 = C2xD4.4D4φ: C22/C2C2 ⊆ Out C8:C2232C8:C2^2:10C2^2128,1797
C8:C22:11C22 = M4(2).37D4φ: C22/C2C2 ⊆ Out C8:C22168+C8:C2^2:11C2^2128,1800
C8:C22:12C22 = C2xD4oD8φ: C22/C2C2 ⊆ Out C8:C2232C8:C2^2:12C2^2128,2313
C8:C22:13C22 = C2xD4oSD16φ: C22/C2C2 ⊆ Out C8:C2232C8:C2^2:13C2^2128,2314
C8:C22:14C22 = C8.C24φ: C22/C2C2 ⊆ Out C8:C22324C8:C2^2:14C2^2128,2316
C8:C22:15C22 = D8:C23φ: C22/C2C2 ⊆ Out C8:C22168+C8:C2^2:15C2^2128,2317
C8:C22:16C22 = C4.C25φ: C22/C2C2 ⊆ Out C8:C22328-C8:C2^2:16C2^2128,2318
C8:C22:17C22 = C2xD8:C22φ: trivial image32C8:C2^2:17C2^2128,2312

Non-split extensions G=N.Q with N=C8:C22 and Q=C22
extensionφ:Q→Out NdρLabelID
C8:C22.1C22 = D8.13D4φ: C22/C1C22 ⊆ Out C8:C22328-C8:C2^2.1C2^2128,2021
C8:C22.2C22 = D8:6D4φ: C22/C1C22 ⊆ Out C8:C22164C8:C2^2.2C2^2128,2023
C8:C22.3C22 = C2xD4.3D4φ: C22/C2C2 ⊆ Out C8:C2232C8:C2^2.3C2^2128,1796
C8:C22.4C22 = M4(2).10C23φ: C22/C2C2 ⊆ Out C8:C22324C8:C2^2.4C2^2128,1799
C8:C22.5C22 = M4(2).38D4φ: C22/C2C2 ⊆ Out C8:C22328-C8:C2^2.5C2^2128,1801

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