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Extensions 1→N→G→Q→1 with N=C4:D8 and Q=C2

Direct product G=NxQ with N=C4:D8 and Q=C2
dρLabelID
C2xC4:D864C2xC4:D8128,1761

Semidirect products G=N:Q with N=C4:D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D8:1C2 = D4:D8φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:1C2128,351
C4:D8:2C2 = Q8:D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:2C2128,353
C4:D8:3C2 = C42.185C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:3C2128,356
C4:D8:4C2 = D4:3D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:4C2128,357
C4:D8:5C2 = C8:7D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:5C2128,399
C4:D8:6C2 = C8:2D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:6C2128,419
C4:D8:7C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:7C2128,1937
C4:D8:8C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:8C2128,1944
C4:D8:9C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:9C2128,1977
C4:D8:10C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:10C2128,1979
C4:D8:11C2 = D4xD8φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:11C2128,2011
C4:D8:12C2 = SD16:11D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:12C2128,2016
C4:D8:13C2 = D4:4D8φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:13C2128,2026
C4:D8:14C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:14C2128,2037
C4:D8:15C2 = Q8:4D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:15C2128,2090
C4:D8:16C2 = Q8:5D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:16C2128,2123
C4:D8:17C2 = C42.211D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:17C2128,1768
C4:D8:18C2 = C42.444D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:18C2128,1770
C4:D8:19C2 = C42.14C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:19C2128,1773
C4:D8:20C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:20C2128,1777
C4:D8:21C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:21C2128,1841
C4:D8:22C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:22C2128,1847
C4:D8:23C2 = C42.353C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:23C2128,1851
C4:D8:24C2 = C42.356C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:24C2128,1854
C4:D8:25C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:25C2128,1946
C4:D8:26C2 = C42.275D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:26C2128,1949
C4:D8:27C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:27C2128,1952
C4:D8:28C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:28C2128,1956
C4:D8:29C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:29C2128,1983
C4:D8:30C2 = C42.301D4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:30C2128,1985
C4:D8:31C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:31C2128,1989
C4:D8:32C2 = C42.26C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:32C2128,1991
C4:D8:33C2 = D8:9D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:33C2128,1996
C4:D8:34C2 = SD16:7D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:34C2128,2000
C4:D8:35C2 = D8:4D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:35C2128,2004
C4:D8:36C2 = SD16:1D4φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:36C2128,2006
C4:D8:37C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:37C2128,2041
C4:D8:38C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:38C2128,2050
C4:D8:39C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C4:D832C4:D8:39C2128,2057
C4:D8:40C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:40C2128,2064
C4:D8:41C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:41C2128,2098
C4:D8:42C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:42C2128,2129
C4:D8:43C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:43C2128,2131
C4:D8:44C2 = C42.533C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8:44C2128,2135
C4:D8:45C2 = C42.443D4φ: trivial image64C4:D8:45C2128,1767
C4:D8:46C2 = C42.221D4φ: trivial image32C4:D8:46C2128,1832
C4:D8:47C2 = C42.450D4φ: trivial image64C4:D8:47C2128,1838

Non-split extensions G=N.Q with N=C4:D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D8.1C2 = D4:SD16φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.1C2128,354
C4:D8.2C2 = Q8:3D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.2C2128,359
C4:D8.3C2 = C42.189C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.3C2128,360
C4:D8.4C2 = C8:8D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.4C2128,397
C4:D8.5C2 = D4.2SD16φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.5C2128,409
C4:D8.6C2 = D4.2D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.6C2128,413
C4:D8.7C2 = C8:D8φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.7C2128,417
C4:D8.8C2 = C42.248C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.8C2128,429
C4:D8.9C2 = C42.252C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.9C2128,433
C4:D8.10C2 = C42.502C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.10C2128,2093
C4:D8.11C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.11C2128,2126
C4:D8.12C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.12C2128,2102
C4:D8.13C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out C4:D864C4:D8.13C2128,2105

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