# Extensions 1→N→G→Q→1 with N=C8⋊C22 and Q=C22

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

Semidirect products G=N:Q with N=C8⋊C22 and Q=C22
extensionφ:Q→Out NdρLabelID
C8⋊C221C22 = D811D4φ: C22/C1C22 ⊆ Out C8⋊C22168+C8:C2^2:1C2^2128,2020
C8⋊C222C22 = D8○SD16φ: C22/C1C22 ⊆ Out C8⋊C22324C8:C2^2:2C2^2128,2022
C8⋊C223C22 = D8○D8φ: C22/C1C22 ⊆ Out C8⋊C22164+C8:C2^2:3C2^2128,2024
C8⋊C224C22 = C2×D44D4φ: C22/C2C2 ⊆ Out C8⋊C2216C8:C2^2:4C2^2128,1746
C8⋊C225C22 = C2×D4.8D4φ: C22/C2C2 ⊆ Out C8⋊C2232C8:C2^2:5C2^2128,1748
C8⋊C226C22 = C42.313C23φ: C22/C2C2 ⊆ Out C8⋊C22164C8:C2^2:6C2^2128,1750
C8⋊C227C22 = M4(2)⋊C23φ: C22/C2C2 ⊆ Out C8⋊C22168+C8:C2^2:7C2^2128,1751
C8⋊C228C22 = M4(2).C23φ: C22/C2C2 ⊆ Out C8⋊C22328-C8:C2^2:8C2^2128,1752
C8⋊C229C22 = C42.12C23φ: C22/C2C2 ⊆ Out C8⋊C22168+C8:C2^2:9C2^2128,1753
C8⋊C2210C22 = C2×D4.4D4φ: C22/C2C2 ⊆ Out C8⋊C2232C8:C2^2:10C2^2128,1797
C8⋊C2211C22 = M4(2).37D4φ: C22/C2C2 ⊆ Out C8⋊C22168+C8:C2^2:11C2^2128,1800
C8⋊C2212C22 = C2×D4○D8φ: C22/C2C2 ⊆ Out C8⋊C2232C8:C2^2:12C2^2128,2313
C8⋊C2213C22 = C2×D4○SD16φ: C22/C2C2 ⊆ Out C8⋊C2232C8:C2^2:13C2^2128,2314
C8⋊C2214C22 = C8.C24φ: C22/C2C2 ⊆ Out C8⋊C22324C8:C2^2:14C2^2128,2316
C8⋊C2215C22 = D8⋊C23φ: C22/C2C2 ⊆ Out C8⋊C22168+C8:C2^2:15C2^2128,2317
C8⋊C2216C22 = C4.C25φ: C22/C2C2 ⊆ Out C8⋊C22328-C8:C2^2:16C2^2128,2318
C8⋊C2217C22 = C2×D8⋊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 = D86D4φ: C22/C1C22 ⊆ Out C8⋊C22164C8:C2^2.2C2^2128,2023
C8⋊C22.3C22 = C2×D4.3D4φ: 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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