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Extensions 1→N→G→Q→1 with N=C4.10D4 and Q=C22

Direct product G=NxQ with N=C4.10D4 and Q=C22
dρLabelID
C22xC4.10D464C2^2xC4.10D4128,1618

Semidirect products G=N:Q with N=C4.10D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.10D4:1C22 = C42.15D4φ: C22/C1 → C22 ⊆ Out C4.10D4168+C4.10D4:1C2^2128,934
C4.10D4:2C22 = D8:11D4φ: C22/C1 → C22 ⊆ Out C4.10D4168+C4.10D4:2C2^2128,2020
C4.10D4:3C22 = D8.13D4φ: C22/C1 → C22 ⊆ Out C4.10D4328-C4.10D4:3C2^2128,2021
C4.10D4:4C22 = D8oSD16φ: C22/C1 → C22 ⊆ Out C4.10D4324C4.10D4:4C2^2128,2022
C4.10D4:5C22 = D8:6D4φ: C22/C1 → C22 ⊆ Out C4.10D4164C4.10D4:5C2^2128,2023
C4.10D4:6C22 = C2xD4.8D4φ: C22/C2 → C2 ⊆ Out C4.10D432C4.10D4:6C2^2128,1748
C4.10D4:7C22 = C2xD4.10D4φ: C22/C2 → C2 ⊆ Out C4.10D432C4.10D4:7C2^2128,1749
C4.10D4:8C22 = C42.313C23φ: C22/C2 → C2 ⊆ Out C4.10D4164C4.10D4:8C2^2128,1750
C4.10D4:9C22 = M4(2).C23φ: C22/C2 → C2 ⊆ Out C4.10D4328-C4.10D4:9C2^2128,1752
C4.10D4:10C22 = C42.12C23φ: C22/C2 → C2 ⊆ Out C4.10D4168+C4.10D4:10C2^2128,1753
C4.10D4:11C22 = C42.13C23φ: C22/C2 → C2 ⊆ Out C4.10D4328-C4.10D4:11C2^2128,1754
C4.10D4:12C22 = C2xD4.3D4φ: C22/C2 → C2 ⊆ Out C4.10D432C4.10D4:12C2^2128,1796
C4.10D4:13C22 = C2xD4.5D4φ: C22/C2 → C2 ⊆ Out C4.10D464C4.10D4:13C2^2128,1798
C4.10D4:14C22 = M4(2).10C23φ: C22/C2 → C2 ⊆ Out C4.10D4324C4.10D4:14C2^2128,1799
C4.10D4:15C22 = M4(2).37D4φ: C22/C2 → C2 ⊆ Out C4.10D4168+C4.10D4:15C2^2128,1800
C4.10D4:16C22 = M4(2).38D4φ: C22/C2 → C2 ⊆ Out C4.10D4328-C4.10D4:16C2^2128,1801
C4.10D4:17C22 = C2xC42.C4φ: C22/C2 → C2 ⊆ Out C4.10D432C4.10D4:17C2^2128,862
C4.10D4:18C22 = C4:1D4.C4φ: C22/C2 → C2 ⊆ Out C4.10D4168+C4.10D4:18C2^2128,866
C4.10D4:19C22 = C2xM4(2).8C22φ: trivial image32C4.10D4:19C2^2128,1619
C4.10D4:20C22 = M4(2).24C23φ: trivial image168+C4.10D4:20C2^2128,1620

Non-split extensions G=N.Q with N=C4.10D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.10D4.1C22 = C42.16D4φ: C22/C1 → C22 ⊆ Out C4.10D4328-C4.10D4.1C2^2128,935
C4.10D4.2C22 = C42.17D4φ: C22/C1 → C22 ⊆ Out C4.10D4164C4.10D4.2C2^2128,936
C4.10D4.3C22 = Q8wrC2φ: C22/C1 → C22 ⊆ Out C4.10D4164-C4.10D4.3C2^2128,937
C4.10D4.4C22 = D8oQ16φ: C22/C1 → C22 ⊆ Out C4.10D4324-C4.10D4.4C2^2128,2025
C4.10D4.5C22 = C2xC42.3C4φ: C22/C2 → C2 ⊆ Out C4.10D432C4.10D4.5C2^2128,863
C4.10D4.6C22 = (C2xD4).135D4φ: C22/C2 → C2 ⊆ Out C4.10D4164C4.10D4.6C2^2128,864
C4.10D4.7C22 = C4:Q8.C4φ: C22/C2 → C2 ⊆ Out C4.10D4328-C4.10D4.7C2^2128,865
C4.10D4.8C22 = (C2xD4).137D4φ: C22/C2 → C2 ⊆ Out C4.10D4328-C4.10D4.8C2^2128,867
C4.10D4.9C22 = M4(2).25C23φ: trivial image328-C4.10D4.9C2^2128,1621

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