# Extensions 1→N→G→Q→1 with N=C4.D4 and Q=C22

Direct product G=N×Q with N=C4.D4 and Q=C22
dρLabelID
C22×C4.D432C2^2xC4.D4128,1617

Semidirect products G=N:Q with N=C4.D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.D41C22 = D4≀C2φ: C22/C1C22 ⊆ Out C4.D484+C4.D4:1C2^2128,928
C4.D42C22 = D811D4φ: C22/C1C22 ⊆ Out C4.D4168+C4.D4:2C2^2128,2020
C4.D43C22 = D8○SD16φ: C22/C1C22 ⊆ Out C4.D4324C4.D4:3C2^2128,2022
C4.D44C22 = D86D4φ: C22/C1C22 ⊆ Out C4.D4164C4.D4:4C2^2128,2023
C4.D45C22 = D8○D8φ: C22/C1C22 ⊆ Out C4.D4164+C4.D4:5C2^2128,2024
C4.D46C22 = C2×D44D4φ: C22/C2C2 ⊆ Out C4.D416C4.D4:6C2^2128,1746
C4.D47C22 = C2×D4.9D4φ: C22/C2C2 ⊆ Out C4.D432C4.D4:7C2^2128,1747
C4.D48C22 = C42.313C23φ: C22/C2C2 ⊆ Out C4.D4164C4.D4:8C2^2128,1750
C4.D49C22 = M4(2)⋊C23φ: C22/C2C2 ⊆ Out C4.D4168+C4.D4:9C2^2128,1751
C4.D410C22 = C42.12C23φ: C22/C2C2 ⊆ Out C4.D4168+C4.D4:10C2^2128,1753
C4.D411C22 = C42.13C23φ: C22/C2C2 ⊆ Out C4.D4328-C4.D4:11C2^2128,1754
C4.D412C22 = C2×D4.3D4φ: C22/C2C2 ⊆ Out C4.D432C4.D4:12C2^2128,1796
C4.D413C22 = C2×D4.4D4φ: C22/C2C2 ⊆ Out C4.D432C4.D4:13C2^2128,1797
C4.D414C22 = M4(2).10C23φ: C22/C2C2 ⊆ Out C4.D4324C4.D4:14C2^2128,1799
C4.D415C22 = M4(2).37D4φ: C22/C2C2 ⊆ Out C4.D4168+C4.D4:15C2^2128,1800
C4.D416C22 = M4(2).38D4φ: C22/C2C2 ⊆ Out C4.D4328-C4.D4:16C2^2128,1801
C4.D417C22 = C2×C2≀C4φ: C22/C2C2 ⊆ Out C4.D416C4.D4:17C2^2128,850
C4.D418C22 = C2×M4(2).8C22φ: trivial image32C4.D4:18C2^2128,1619
C4.D419C22 = M4(2).24C23φ: trivial image168+C4.D4:19C2^2128,1620

Non-split extensions G=N.Q with N=C4.D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.D4.1C22 = C424D4φ: C22/C1C22 ⊆ Out C4.D4164C4.D4.1C2^2128,929
C4.D4.2C22 = C42.13D4φ: C22/C1C22 ⊆ Out C4.D4164C4.D4.2C2^2128,930
C4.D4.3C22 = C425D4φ: C22/C1C22 ⊆ Out C4.D4168+C4.D4.3C2^2128,931
C4.D4.4C22 = C426D4φ: C22/C1C22 ⊆ Out C4.D4168+C4.D4.4C2^2128,932
C4.D4.5C22 = C42.14D4φ: C22/C1C22 ⊆ Out C4.D4328-C4.D4.5C2^2128,933
C4.D4.6C22 = D8.13D4φ: C22/C1C22 ⊆ Out C4.D4328-C4.D4.6C2^2128,2021
C4.D4.7C22 = C2×C23.D4φ: C22/C2C2 ⊆ Out C4.D432C4.D4.7C2^2128,851
C4.D4.8C22 = C4○C2≀C4φ: C22/C2C2 ⊆ Out C4.D4164C4.D4.8C2^2128,852
C4.D4.9C22 = C24.36D4φ: C22/C2C2 ⊆ Out C4.D4168+C4.D4.9C2^2128,853
C4.D4.10C22 = C2≀C4⋊C2φ: C22/C2C2 ⊆ Out C4.D4168+C4.D4.10C2^2128,854
C4.D4.11C22 = C23.(C2×D4)φ: C22/C2C2 ⊆ Out C4.D4328-C4.D4.11C2^2128,855
C4.D4.12C22 = M4(2).25C23φ: trivial image328-C4.D4.12C2^2128,1621

׿
×
𝔽