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Extensions 1→N→G→Q→1 with N=Q8.D4 and Q=C2

Direct product G=N×Q with N=Q8.D4 and Q=C2
dρLabelID
C2×Q8.D464C2xQ8.D4128,1766

Semidirect products G=N:Q with N=Q8.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8.D4⋊1C2 = C42.268D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:1C2128,1942
Q8.D4⋊2C2 = C42.269D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:2C2128,1943
Q8.D4⋊3C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:3C2128,1980
Q8.D4⋊4C2 = C42.298D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:4C2128,1982
Q8.D4⋊5C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:5C2128,2014
Q8.D4⋊6C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:6C2128,2017
Q8.D4⋊7C2 = C42.461C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:7C2128,2028
Q8.D4⋊8C2 = C42.465C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:8C2128,2032
Q8.D4⋊9C2 = C42.506C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:9C2128,2097
Q8.D4⋊10C2 = C42.527C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:10C2128,2125
Q8.D4⋊11C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:11C2128,2126
Q8.D4⋊12C2 = C42.212D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:12C2128,1769
Q8.D4⋊13C2 = C42.446D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:13C2128,1772
Q8.D4⋊14C2 = C42.16C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:14C2128,1775
Q8.D4⋊15C2 = C42.17C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:15C2128,1776
Q8.D4⋊16C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:16C2128,1777
Q8.D4⋊17C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:17C2128,1778
Q8.D4⋊18C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:18C2128,1843
Q8.D4⋊19C2 = C42.235D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:19C2128,1849
Q8.D4⋊20C2 = C42.355C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:20C2128,1853
Q8.D4⋊21C2 = C42.358C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:21C2128,1856
Q8.D4⋊22C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:22C2128,1857
Q8.D4⋊23C2 = C42.273D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:23C2128,1947
Q8.D4⋊24C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:24C2128,1951
Q8.D4⋊25C2 = C42.408C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:25C2128,1954
Q8.D4⋊26C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:26C2128,1955
Q8.D4⋊27C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:27C2128,1956
Q8.D4⋊28C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:28C2128,1957
Q8.D4⋊29C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:29C2128,1984
Q8.D4⋊30C2 = C42.304D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:30C2128,1988
Q8.D4⋊31C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:31C2128,1990
Q8.D4⋊32C2 = C42.29C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:32C2128,1994
Q8.D4⋊33C2 = C42.30C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:33C2128,1995
Q8.D4⋊34C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:34C2128,1998
Q8.D4⋊35C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:35C2128,2000
Q8.D4⋊36C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:36C2128,2002
Q8.D4⋊37C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:37C2128,2003
Q8.D4⋊38C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:38C2128,2007
Q8.D4⋊39C2 = Q16⋊4D4φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:39C2128,2009
Q8.D4⋊40C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:40C2128,2043
Q8.D4⋊41C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:41C2128,2045
Q8.D4⋊42C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:42C2128,2046
Q8.D4⋊43C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:43C2128,2048
Q8.D4⋊44C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out Q8.D432Q8.D4:44C2128,2055
Q8.D4⋊45C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:45C2128,2059
Q8.D4⋊46C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:46C2128,2103
Q8.D4⋊47C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:47C2128,2107
Q8.D4⋊48C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:48C2128,2132
Q8.D4⋊49C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:49C2128,2133
Q8.D4⋊50C2 = C42.532C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:50C2128,2134
Q8.D4⋊51C2 = C42.533C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4:51C2128,2135
Q8.D4⋊52C2 = C42.443D4φ: trivial image64Q8.D4:52C2128,1767
Q8.D4⋊53C2 = C42.384D4φ: trivial image64Q8.D4:53C2128,1834
Q8.D4⋊54C2 = C42.226D4φ: trivial image64Q8.D4:54C2128,1840

Non-split extensions G=N.Q with N=Q8.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8.D4.1C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4.1C2128,2096
Q8.D4.2C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4.2C2128,2101
Q8.D4.3C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4.3C2128,2109
Q8.D4.4C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out Q8.D464Q8.D4.4C2128,2130

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