Extensions 1→N→G→Q→1 with N=C5:C8 and Q=D6

Direct product G=NxQ with N=C5:C8 and Q=D6
dρLabelID
C2xS3xC5:C8240C2xS3xC5:C8480,1002

Semidirect products G=N:Q with N=C5:C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C5:C8:1D6 = S3xC4.F5φ: D6/S3C2 ⊆ Out C5:C81208C5:C8:1D6480,988
C5:C8:2D6 = D15:M4(2)φ: D6/S3C2 ⊆ Out C5:C81208C5:C8:2D6480,991
C5:C8:3D6 = S3xC22.F5φ: D6/S3C2 ⊆ Out C5:C81208-C5:C8:3D6480,1004
C5:C8:4D6 = D15:2M4(2)φ: D6/S3C2 ⊆ Out C5:C81208+C5:C8:4D6480,1007
C5:C8:5D6 = C5:C8:D6φ: D6/C6C2 ⊆ Out C5:C81208C5:C8:5D6480,993
C5:C8:6D6 = C2xD6.F5φ: D6/C6C2 ⊆ Out C5:C8240C5:C8:6D6480,1008
C5:C8:7D6 = C2xDic3.F5φ: D6/C6C2 ⊆ Out C5:C8240C5:C8:7D6480,1009
C5:C8:8D6 = S3xD5:C8φ: trivial image1208C5:C8:8D6480,986
C5:C8:9D6 = C2xD15:C8φ: trivial image240C5:C8:9D6480,1006

Non-split extensions G=N.Q with N=C5:C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C5:C8.1D6 = D12.F5φ: D6/S3C2 ⊆ Out C5:C82408-C5:C8.1D6480,989
C5:C8.2D6 = Dic6.F5φ: D6/S3C2 ⊆ Out C5:C82408+C5:C8.2D6480,992
C5:C8.3D6 = D15:C8:C2φ: D6/S3C2 ⊆ Out C5:C82408C5:C8.3D6480,1005
C5:C8.4D6 = D12.2F5φ: D6/C6C2 ⊆ Out C5:C82408-C5:C8.4D6480,987
C5:C8.5D6 = D60.C4φ: D6/C6C2 ⊆ Out C5:C82408+C5:C8.5D6480,990
C5:C8.6D6 = C5:C8.D6φ: D6/C6C2 ⊆ Out C5:C82408C5:C8.6D6480,1003

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