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Extensions 1→N→G→Q→1 with N=D4⋊D4 and Q=C2

Direct product G=N×Q with N=D4⋊D4 and Q=C2
dρLabelID
C2×D4⋊D464C2xD4:D4128,1732

Semidirect products G=N:Q with N=D4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊D4⋊1C2 = C24.121D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:1C2128,1920
D4⋊D4⋊2C2 = C24.124D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:2C2128,1923
D4⋊D4⋊3C2 = C42.265D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:3C2128,1939
D4⋊D4⋊4C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:4C2128,1944
D4⋊D4⋊5C2 = D8⋊12D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:5C2128,2012
D4⋊D4⋊6C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:6C2128,2014
D4⋊D4⋊7C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:7C2128,2016
D4⋊D4⋊8C2 = Q16⋊13D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:8C2128,2019
D4⋊D4⋊9C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:9C2128,2029
D4⋊D4⋊10C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:10C2128,2033
D4⋊D4⋊11C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:11C2128,2035
D4⋊D4⋊12C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:12C2128,2037
D4⋊D4⋊13C2 = C24.104D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:13C2128,1737
D4⋊D4⋊14C2 = C24.105D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:14C2128,1738
D4⋊D4⋊15C2 = C4○D4⋊D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:15C2128,1740
D4⋊D4⋊16C2 = (C2×Q8)⋊16D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:16C2128,1742
D4⋊D4⋊17C2 = (C2×D4)⋊21D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:17C2128,1744
D4⋊D4⋊18C2 = (C2×Q8)⋊17D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:18C2128,1745
D4⋊D4⋊19C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:19C2128,1847
D4⋊D4⋊20C2 = C42.353C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:20C2128,1851
D4⋊D4⋊21C2 = C24.127D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:21C2128,1926
D4⋊D4⋊22C2 = C24.130D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:22C2128,1929
D4⋊D4⋊23C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:23C2128,1930
D4⋊D4⋊24C2 = C4.182+ 1+4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:24C2128,1935
D4⋊D4⋊25C2 = C4.192+ 1+4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:25C2128,1936
D4⋊D4⋊26C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:26C2128,1946
D4⋊D4⋊27C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:27C2128,1951
D4⋊D4⋊28C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:28C2128,1952
D4⋊D4⋊29C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:29C2128,1953
D4⋊D4⋊30C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:30C2128,1956
D4⋊D4⋊31C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:31C2128,1996
D4⋊D4⋊32C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:32C2128,1997
D4⋊D4⋊33C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:33C2128,1999
D4⋊D4⋊34C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:34C2128,2000
D4⋊D4⋊35C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:35C2128,2001
D4⋊D4⋊36C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:36C2128,2003
D4⋊D4⋊37C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:37C2128,2004
D4⋊D4⋊38C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:38C2128,2006
D4⋊D4⋊39C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:39C2128,2007
D4⋊D4⋊40C2 = Q16⋊4D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:40C2128,2009
D4⋊D4⋊41C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:41C2128,2038
D4⋊D4⋊42C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:42C2128,2039
D4⋊D4⋊43C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:43C2128,2040
D4⋊D4⋊44C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:44C2128,2041
D4⋊D4⋊45C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:45C2128,2051
D4⋊D4⋊46C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:46C2128,2053
D4⋊D4⋊47C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out D4⋊D432D4:D4:47C2128,2054
D4⋊D4⋊48C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:48C2128,2058
D4⋊D4⋊49C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:49C2128,2062
D4⋊D4⋊50C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4:50C2128,2064
D4⋊D4⋊51C2 = C24.103D4φ: trivial image32D4:D4:51C2128,1734
D4⋊D4⋊52C2 = C42.450D4φ: trivial image64D4:D4:52C2128,1838

Non-split extensions G=N.Q with N=D4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊D4.1C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4.1C2128,1843
D4⋊D4.2C2 = C42.358C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4.2C2128,1856
D4⋊D4.3C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4.3C2128,1857
D4⋊D4.4C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out D4⋊D464D4:D4.4C2128,1957
D4⋊D4.5C2 = C42.384D4φ: trivial image64D4:D4.5C2128,1834

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