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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.C2264C2^2xC8.C2^2128,2311

Semidirect products G=N:Q with N=C8.C22 and Q=C22
extensionφ:Q→Out NdρLabelID
C8.C22⋊1C22 = D8⋊11D4φ: C22/C1 → C22 ⊆ Out C8.C22168+C8.C2^2:1C2^2128,2020
C8.C22⋊2C22 = D8.13D4φ: C22/C1 → C22 ⊆ Out C8.C22328-C8.C2^2:2C2^2128,2021
C8.C22⋊3C22 = D8○SD16φ: C22/C1 → C22 ⊆ Out C8.C22324C8.C2^2:3C2^2128,2022
C8.C22⋊4C22 = D8⋊6D4φ: C22/C1 → C22 ⊆ Out C8.C22164C8.C2^2:4C2^2128,2023
C8.C22⋊5C22 = C2×D4.9D4φ: C22/C2 → C2 ⊆ Out C8.C2232C8.C2^2:5C2^2128,1747
C8.C22⋊6C22 = C2×D4.10D4φ: C22/C2 → C2 ⊆ Out C8.C2232C8.C2^2:6C2^2128,1749
C8.C22⋊7C22 = C42.313C23φ: C22/C2 → C2 ⊆ Out C8.C22164C8.C2^2:7C2^2128,1750
C8.C22⋊8C22 = M4(2)⋊C23φ: C22/C2 → C2 ⊆ Out C8.C22168+C8.C2^2:8C2^2128,1751
C8.C22⋊9C22 = M4(2).C23φ: C22/C2 → C2 ⊆ Out C8.C22328-C8.C2^2:9C2^2128,1752
C8.C22⋊10C22 = C42.13C23φ: C22/C2 → C2 ⊆ Out C8.C22328-C8.C2^2:10C2^2128,1754
C8.C22⋊11C22 = C2×D4.3D4φ: C22/C2 → C2 ⊆ Out C8.C2232C8.C2^2:11C2^2128,1796
C8.C22⋊12C22 = M4(2).37D4φ: C22/C2 → C2 ⊆ Out C8.C22168+C8.C2^2:12C2^2128,1800
C8.C22⋊13C22 = C2×D4○SD16φ: C22/C2 → C2 ⊆ Out C8.C2232C8.C2^2:13C2^2128,2314
C8.C22⋊14C22 = C2×Q8○D8φ: C22/C2 → C2 ⊆ Out C8.C2264C8.C2^2:14C2^2128,2315
C8.C22⋊15C22 = C8.C24φ: C22/C2 → C2 ⊆ Out C8.C22324C8.C2^2:15C2^2128,2316
C8.C22⋊16C22 = C4.C25φ: C22/C2 → C2 ⊆ Out C8.C22328-C8.C2^2:16C2^2128,2318
C8.C22⋊17C22 = C2×D8⋊C22φ: trivial image32C8.C2^2:17C2^2128,2312
C8.C22⋊18C22 = D8⋊C23φ: trivial image168+C8.C2^2:18C2^2128,2317

Non-split extensions G=N.Q with N=C8.C22 and Q=C22
extensionφ:Q→Out NdρLabelID
C8.C22.C22 = D8○Q16φ: C22/C1 → C22 ⊆ Out C8.C22324-C8.C2^2.C2^2128,2025
C8.C22.2C22 = C2×D4.5D4φ: C22/C2 → C2 ⊆ Out C8.C2264C8.C2^2.2C2^2128,1798
C8.C22.3C22 = M4(2).10C23φ: C22/C2 → C2 ⊆ Out C8.C22324C8.C2^2.3C2^2128,1799
C8.C22.4C22 = M4(2).38D4φ: C22/C2 → C2 ⊆ Out C8.C22328-C8.C2^2.4C2^2128,1801

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