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Extensions 1→N→G→Q→1 with N=C22⋊D8 and Q=C2

Direct product G=N×Q with N=C22⋊D8 and Q=C2
dρLabelID
C2×C22⋊D832C2xC2^2:D8128,1728

Semidirect products G=N:Q with N=C22⋊D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C22⋊D8⋊1C2 = C23⋊D8φ: C2/C1 → C2 ⊆ Out C22⋊D816C2^2:D8:1C2128,327
C22⋊D8⋊2C2 = (C2×C4)⋊D8φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:2C2128,330
C22⋊D8⋊3C2 = C24.9D4φ: C2/C1 → C2 ⊆ Out C22⋊D816C2^2:D8:3C2128,332
C22⋊D8⋊4C2 = C23⋊3D8φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:4C2128,1918
C22⋊D8⋊5C2 = C24.121D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:5C2128,1920
C22⋊D8⋊6C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:6C2128,1937
C22⋊D8⋊7C2 = D4×D8φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:7C2128,2011
C22⋊D8⋊8C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:8C2128,2014
C22⋊D8⋊9C2 = D4⋊4D8φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:9C2128,2026
C22⋊D8⋊10C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:10C2128,2029
C22⋊D8⋊11C2 = C24.177D4φ: C2/C1 → C2 ⊆ Out C22⋊D816C2^2:D8:11C2128,1735
C22⋊D8⋊12C2 = C24.105D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:12C2128,1738
C22⋊D8⋊13C2 = C4○D4⋊D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:13C2128,1740
C22⋊D8⋊14C2 = (C2×D4)⋊21D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:14C2128,1744
C22⋊D8⋊15C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:15C2128,1841
C22⋊D8⋊16C2 = C42.356C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:16C2128,1854
C22⋊D8⋊17C2 = C24.125D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:17C2128,1924
C22⋊D8⋊18C2 = C24.127D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:18C2128,1926
C22⋊D8⋊19C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:19C2128,1930
C22⋊D8⋊20C2 = C4.142+ 1+4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:20C2128,1931
C22⋊D8⋊21C2 = C42.271D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:21C2128,1945
C22⋊D8⋊22C2 = C42.275D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:22C2128,1949
C22⋊D8⋊23C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:23C2128,1952
C22⋊D8⋊24C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:24C2128,1956
C22⋊D8⋊25C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:25C2128,1996
C22⋊D8⋊26C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:26C2128,1997
C22⋊D8⋊27C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:27C2128,2000
C22⋊D8⋊28C2 = D8⋊5D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:28C2128,2005
C22⋊D8⋊29C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:29C2128,2006
C22⋊D8⋊30C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:30C2128,2038
C22⋊D8⋊31C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:31C2128,2050
C22⋊D8⋊32C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:32C2128,2051
C22⋊D8⋊33C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:33C2128,2054
C22⋊D8⋊34C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8:34C2128,2057
C22⋊D8⋊35C2 = C24.103D4φ: trivial image32C2^2:D8:35C2128,1734
C22⋊D8⋊36C2 = C42.221D4φ: trivial image32C2^2:D8:36C2128,1832

Non-split extensions G=N.Q with N=C22⋊D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C22⋊D8.1C2 = C4⋊C4.D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8.1C2128,329
C22⋊D8.2C2 = C42.269D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8.2C2128,1943
C22⋊D8.3C2 = C42.232D4φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8.3C2128,1846
C22⋊D8.4C2 = C42.352C23φ: C2/C1 → C2 ⊆ Out C22⋊D832C2^2:D8.4C2128,1850
C22⋊D8.5C2 = C42.225D4φ: trivial image32C2^2:D8.5C2128,1837

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