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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:D4128,1730

Semidirect products G=N:Q with N=Q8⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊D4⋊1C2 = C24.178D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:1C2128,1736
Q8⋊D4⋊2C2 = C24.105D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:2C2128,1738
Q8⋊D4⋊3C2 = (C2×Q8)⋊16D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:3C2128,1742
Q8⋊D4⋊4C2 = (C2×Q8)⋊17D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:4C2128,1745
Q8⋊D4⋊5C2 = C42.230D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:5C2128,1844
Q8⋊D4⋊6C2 = C42.360C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:6C2128,1858
Q8⋊D4⋊7C2 = C24.126D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:7C2128,1925
Q8⋊D4⋊8C2 = C24.129D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:8C2128,1928
Q8⋊D4⋊9C2 = C4.152+ 1+4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:9C2128,1932
Q8⋊D4⋊10C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:10C2128,1933
Q8⋊D4⋊11C2 = C42.271D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:11C2128,1945
Q8⋊D4⋊12C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:12C2128,1953
Q8⋊D4⋊13C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:13C2128,1957
Q8⋊D4⋊14C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:14C2128,1997
Q8⋊D4⋊15C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:15C2128,1998
Q8⋊D4⋊16C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:16C2128,2002
Q8⋊D4⋊17C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:17C2128,2003
Q8⋊D4⋊18C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:18C2128,2007
Q8⋊D4⋊19C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:19C2128,2010
Q8⋊D4⋊20C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:20C2128,2040
Q8⋊D4⋊21C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:21C2128,2052
Q8⋊D4⋊22C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:22C2128,2053
Q8⋊D4⋊23C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:23C2128,2058
Q8⋊D4⋊24C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:24C2128,2061
Q8⋊D4⋊25C2 = C23⋊2SD16φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:25C2128,333
Q8⋊D4⋊26C2 = Q8⋊D4⋊C2φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:26C2128,336
Q8⋊D4⋊27C2 = C24.12D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:27C2128,338
Q8⋊D4⋊28C2 = C23⋊4SD16φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:28C2128,1919
Q8⋊D4⋊29C2 = C24.123D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:29C2128,1922
Q8⋊D4⋊30C2 = C42.264D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:30C2128,1938
Q8⋊D4⋊31C2 = C42.269D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:31C2128,1943
Q8⋊D4⋊32C2 = D4×SD16φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4:32C2128,2013
Q8⋊D4⋊33C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:33C2128,2017
Q8⋊D4⋊34C2 = D4⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:34C2128,2030
Q8⋊D4⋊35C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4:35C2128,2033
Q8⋊D4⋊36C2 = C24.103D4φ: trivial image32Q8:D4:36C2128,1734
Q8⋊D4⋊37C2 = C42.223D4φ: trivial image64Q8:D4:37C2128,1835

Non-split extensions G=N.Q with N=Q8⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊D4.1C2 = C42.235D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4.1C2128,1849
Q8⋊D4.2C2 = C42.355C23φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4.2C2128,1853
Q8⋊D4.3C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out Q8⋊D464Q8:D4.3C2128,1950
Q8⋊D4.4C2 = C4⋊C4.6D4φ: C2/C1 → C2 ⊆ Out Q8⋊D432Q8:D4.4C2128,335
Q8⋊D4.5C2 = C42.226D4φ: trivial image64Q8:D4.5C2128,1840

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