Extensions 1→N→G→Q→1 with N=C8.12D4 and Q=C2

Direct product G=N×Q with N=C8.12D4 and Q=C2
dρLabelID
C2×C8.12D464C2xC8.12D4128,1878

Semidirect products G=N:Q with N=C8.12D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8.12D41C2 = D8.5D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:1C2128,942
C8.12D42C2 = C8.21D8φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:2C2128,981
C8.12D43C2 = C42.269D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:3C2128,1943
C8.12D44C2 = C42.270D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:4C2128,1944
C8.12D45C2 = C42.410C23φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:5C2128,1956
C8.12D46C2 = C42.411C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:6C2128,1957
C8.12D47C2 = D812D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:7C2128,2012
C8.12D48C2 = SD1610D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:8C2128,2014
C8.12D49C2 = Q1612D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:9C2128,2017
C8.12D410C2 = C42.528C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:10C2128,2126
C8.12D411C2 = C42.530C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:11C2128,2128
C8.12D412C2 = C8.3D8φ: C2/C1C2 ⊆ Out C8.12D4324C8.12D4:12C2128,944
C8.12D413C2 = C163D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:13C2128,982
C8.12D414C2 = M4(2)⋊9D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:14C2128,1885
C8.12D415C2 = M4(2)⋊10D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:15C2128,1886
C8.12D416C2 = M4(2)⋊11D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:16C2128,1887
C8.12D417C2 = M4(2).20D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:17C2128,1888
C8.12D418C2 = C42.385C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:18C2128,1905
C8.12D419C2 = C42.387C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:19C2128,1907
C8.12D420C2 = C42.260D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:20C2128,1915
C8.12D421C2 = D85D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:21C2128,2005
C8.12D422C2 = SD162D4φ: C2/C1C2 ⊆ Out C8.12D432C8.12D4:22C2128,2007
C8.12D423C2 = Q164D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:23C2128,2009
C8.12D424C2 = D8○SD16φ: C2/C1C2 ⊆ Out C8.12D4324C8.12D4:24C2128,2022
C8.12D425C2 = C42.531C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:25C2128,2133
C8.12D426C2 = C42.533C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4:26C2128,2135
C8.12D427C2 = C42.360D4φ: trivial image64C8.12D4:27C2128,1879
C8.12D428C2 = C42.308D4φ: trivial image64C8.12D4:28C2128,1900

Non-split extensions G=N.Q with N=C8.12D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8.12D4.1C2 = C8.30D8φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.1C2128,92
C8.12D4.2C2 = Q16.5D4φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.2C2128,943
C8.12D4.3C2 = C8.22SD16φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.3C2128,974
C8.12D4.4C2 = C42.527C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.4C2128,2125
C8.12D4.5C2 = C8.12SD16φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.5C2128,975
C8.12D4.6C2 = C8.7D8φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.6C2128,983
C8.12D4.7C2 = C42.532C23φ: C2/C1C2 ⊆ Out C8.12D464C8.12D4.7C2128,2134

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