# Extensions 1→N→G→Q→1 with N=C8.C4 and Q=C22

Direct product G=N×Q with N=C8.C4 and Q=C22
dρLabelID
C22×C8.C464C2^2xC8.C4128,1646

Semidirect products G=N:Q with N=C8.C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C8.C41C22 = Q16.10D4φ: C22/C1C22 ⊆ Out C8.C4324+C8.C4:1C2^2128,924
C8.C42C22 = D8.3D4φ: C22/C1C22 ⊆ Out C8.C4324C8.C4:2C2^2128,926
C8.C43C22 = M4(2).37D4φ: C22/C1C22 ⊆ Out C8.C4168+C8.C4:3C2^2128,1800
C8.C44C22 = M4(2).38D4φ: C22/C1C22 ⊆ Out C8.C4328-C8.C4:4C2^2128,1801
C8.C45C22 = D811D4φ: C22/C1C22 ⊆ Out C8.C4168+C8.C4:5C2^2128,2020
C8.C46C22 = D8.13D4φ: C22/C1C22 ⊆ Out C8.C4328-C8.C4:6C2^2128,2021
C8.C47C22 = C2×D8.C4φ: C22/C2C2 ⊆ Out C8.C464C8.C4:7C2^2128,874
C8.C48C22 = C23.20SD16φ: C22/C2C2 ⊆ Out C8.C4324C8.C4:8C2^2128,875
C8.C49C22 = C2×M5(2)⋊C2φ: C22/C2C2 ⊆ Out C8.C432C8.C4:9C2^2128,878
C8.C410C22 = C2×M4(2).C4φ: C22/C2C2 ⊆ Out C8.C432C8.C4:10C2^2128,1647
C8.C411C22 = C2×C8.26D4φ: C22/C2C2 ⊆ Out C8.C432C8.C4:11C2^2128,1686
C8.C412C22 = C42.283C23φ: C22/C2C2 ⊆ Out C8.C4324C8.C4:12C2^2128,1687
C8.C413C22 = M4(2).51D4φ: C22/C2C2 ⊆ Out C8.C4164C8.C4:13C2^2128,1688
C8.C414C22 = M4(2)○D8φ: C22/C2C2 ⊆ Out C8.C4324C8.C4:14C2^2128,1689
C8.C415C22 = C2×D4.3D4φ: C22/C2C2 ⊆ Out C8.C432C8.C4:15C2^2128,1796
C8.C416C22 = C2×D4.4D4φ: C22/C2C2 ⊆ Out C8.C432C8.C4:16C2^2128,1797
C8.C417C22 = C2×D4.5D4φ: C22/C2C2 ⊆ Out C8.C464C8.C4:17C2^2128,1798
C8.C418C22 = M4(2).10C23φ: C22/C2C2 ⊆ Out C8.C4324C8.C4:18C2^2128,1799
C8.C419C22 = D8○SD16φ: C22/C2C2 ⊆ Out C8.C4324C8.C4:19C2^2128,2022
C8.C420C22 = D86D4φ: C22/C2C2 ⊆ Out C8.C4164C8.C4:20C2^2128,2023
C8.C421C22 = D8○D8φ: C22/C2C2 ⊆ Out C8.C4164+C8.C4:21C2^2128,2024
C8.C422C22 = C2×C8○D8φ: trivial image32C8.C4:22C2^2128,1685

Non-split extensions G=N.Q with N=C8.C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C8.C4.1C22 = Q32⋊C4φ: C22/C1C22 ⊆ Out C8.C4328-C8.C4.1C2^2128,912
C8.C4.2C22 = D16⋊C4φ: C22/C1C22 ⊆ Out C8.C4168+C8.C4.2C2^2128,913
C8.C4.3C22 = Q16.D4φ: C22/C1C22 ⊆ Out C8.C4324C8.C4.3C2^2128,925
C8.C4.4C22 = D8.12D4φ: C22/C1C22 ⊆ Out C8.C4644-C8.C4.4C2^2128,927
C8.C4.5C22 = D4.3D8φ: C22/C1C22 ⊆ Out C8.C4324+C8.C4.5C2^2128,953
C8.C4.6C22 = D4.4D8φ: C22/C1C22 ⊆ Out C8.C4644-C8.C4.6C2^2128,954
C8.C4.7C22 = D4.5D8φ: C22/C1C22 ⊆ Out C8.C4324C8.C4.7C2^2128,955
C8.C4.8C22 = M5(2).C22φ: C22/C1C22 ⊆ Out C8.C4168+C8.C4.8C2^2128,970
C8.C4.9C22 = C23.10SD16φ: C22/C1C22 ⊆ Out C8.C4328-C8.C4.9C2^2128,971
C8.C4.10C22 = C2×C8.17D4φ: C22/C2C2 ⊆ Out C8.C464C8.C4.10C2^2128,879
C8.C4.11C22 = C23.21SD16φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.11C2^2128,880
C8.C4.12C22 = C2×C8.Q8φ: C22/C2C2 ⊆ Out C8.C432C8.C4.12C2^2128,886
C8.C4.13C22 = M5(2)⋊3C4φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.13C2^2128,887
C8.C4.14C22 = C2×C8.4Q8φ: C22/C2C2 ⊆ Out C8.C464C8.C4.14C2^2128,892
C8.C4.15C22 = M5(2).1C4φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.15C2^2128,893
C8.C4.16C22 = C8○D16φ: C22/C2C2 ⊆ Out C8.C4322C8.C4.16C2^2128,910
C8.C4.17C22 = D165C4φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.17C2^2128,911
C8.C4.18C22 = C8.3D8φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.18C2^2128,944
C8.C4.19C22 = D83D4φ: C22/C2C2 ⊆ Out C8.C4164+C8.C4.19C2^2128,945
C8.C4.20C22 = C8.5D8φ: C22/C2C2 ⊆ Out C8.C4324-C8.C4.20C2^2128,946
C8.C4.21C22 = D83Q8φ: C22/C2C2 ⊆ Out C8.C4164C8.C4.21C2^2128,962
C8.C4.22C22 = D8.2Q8φ: C22/C2C2 ⊆ Out C8.C4324C8.C4.22C2^2128,963
C8.C4.23C22 = D8○Q16φ: C22/C2C2 ⊆ Out C8.C4324-C8.C4.23C2^2128,2025
C8.C4.24C22 = M4(2).29C23φ: trivial image324C8.C4.24C2^2128,1648

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