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

Direct product G=N×Q with N=C8.D4 and Q=C2
dρLabelID
C2×C8.D464C2xC8.D4128,1785

Semidirect products G=N:Q with N=C8.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8.D41C2 = D8.D4φ: C2/C1C2 ⊆ Out C8.D4328-C8.D4:1C2128,923
C8.D42C2 = M4(2)⋊15D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:2C2128,1788
C8.D43C2 = C8.D4⋊C2φ: C2/C1C2 ⊆ Out C8.D464C8.D4:3C2128,1791
C8.D44C2 = (C2×C8)⋊13D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:4C2128,1792
C8.D45C2 = M4(2)⋊17D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:5C2128,1795
C8.D46C2 = C42.385C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:6C2128,1905
C8.D47C2 = C42.390C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:7C2128,1910
C8.D48C2 = C42.260D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:8C2128,1915
C8.D49C2 = C24.128D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:9C2128,1927
C8.D410C2 = C24.129D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:10C2128,1928
C8.D411C2 = C24.130D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:11C2128,1929
C8.D412C2 = C4.162+ 1+4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:12C2128,1933
C8.D413C2 = C4.172+ 1+4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:13C2128,1934
C8.D414C2 = C4.192+ 1+4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:14C2128,1936
C8.D415C2 = C42.300D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:15C2128,1984
C8.D416C2 = C42.304D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:16C2128,1988
C8.D417C2 = C42.25C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:17C2128,1990
C8.D418C2 = C42.30C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:18C2128,1995
C8.D419C2 = D810D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:19C2128,1999
C8.D420C2 = Q169D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:20C2128,2002
C8.D421C2 = SD162D4φ: C2/C1C2 ⊆ Out C8.D432C8.D4:21C2128,2007
C8.D422C2 = SD163D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4:22C2128,2008
C8.D423C2 = C42.46C23φ: C2/C1C2 ⊆ Out C8.D432C8.D4:23C2128,2043
C8.D424C2 = C42.47C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:24C2128,2044
C8.D425C2 = C42.50C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:25C2128,2047
C8.D426C2 = C42.51C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:26C2128,2048
C8.D427C2 = C42.472C23φ: C2/C1C2 ⊆ Out C8.D432C8.D4:27C2128,2055
C8.D428C2 = C42.476C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:28C2128,2059
C8.D429C2 = C42.477C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:29C2128,2060
C8.D430C2 = C42.480C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:30C2128,2063
C8.D431C2 = C42.58C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:31C2128,2076
C8.D432C2 = C42.63C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:32C2128,2081
C8.D433C2 = C42.493C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:33C2128,2084
C8.D434C2 = C42.497C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4:34C2128,2088
C8.D435C2 = C24.110D4φ: trivial image32C8.D4:35C2128,1786
C8.D436C2 = C42.256D4φ: trivial image64C8.D4:36C2128,1904

Non-split extensions G=N.Q with N=C8.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8.D4.1C2 = C23.2D8φ: C2/C1C2 ⊆ Out C8.D4328-C8.D4.1C2128,72
C8.D4.2C2 = C23.2SD16φ: C2/C1C2 ⊆ Out C8.D4328-C8.D4.2C2128,74
C8.D4.3C2 = C23.10SD16φ: C2/C1C2 ⊆ Out C8.D4328-C8.D4.3C2128,971
C8.D4.4C2 = C42.389C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4.4C2128,1909
C8.D4.5C2 = C42.262D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4.5C2128,1917
C8.D4.6C2 = C42.303D4φ: C2/C1C2 ⊆ Out C8.D464C8.D4.6C2128,1987
C8.D4.7C2 = C42.28C23φ: C2/C1C2 ⊆ Out C8.D464C8.D4.7C2128,1993

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