Extensions 1→N→G→Q→1 with N=C10 and Q=D6

Direct product G=NxQ with N=C10 and Q=D6
dρLabelID
S3xC2xC1060S3xC2xC10120,45

Semidirect products G=N:Q with N=C10 and Q=D6
extensionφ:Q→Aut NdρLabelID
C10:1D6 = C2xS3xD5φ: D6/S3C2 ⊆ Aut C10304+C10:1D6120,42
C10:2D6 = C22xD15φ: D6/C6C2 ⊆ Aut C1060C10:2D6120,46

Non-split extensions G=N.Q with N=C10 and Q=D6
extensionφ:Q→Aut NdρLabelID
C10.1D6 = D5xDic3φ: D6/S3C2 ⊆ Aut C10604-C10.1D6120,8
C10.2D6 = S3xDic5φ: D6/S3C2 ⊆ Aut C10604-C10.2D6120,9
C10.3D6 = D30.C2φ: D6/S3C2 ⊆ Aut C10604+C10.3D6120,10
C10.4D6 = C15:D4φ: D6/S3C2 ⊆ Aut C10604-C10.4D6120,11
C10.5D6 = C3:D20φ: D6/S3C2 ⊆ Aut C10604+C10.5D6120,12
C10.6D6 = C5:D12φ: D6/S3C2 ⊆ Aut C10604+C10.6D6120,13
C10.7D6 = C15:Q8φ: D6/S3C2 ⊆ Aut C101204-C10.7D6120,14
C10.8D6 = Dic30φ: D6/C6C2 ⊆ Aut C101202-C10.8D6120,26
C10.9D6 = C4xD15φ: D6/C6C2 ⊆ Aut C10602C10.9D6120,27
C10.10D6 = D60φ: D6/C6C2 ⊆ Aut C10602+C10.10D6120,28
C10.11D6 = C2xDic15φ: D6/C6C2 ⊆ Aut C10120C10.11D6120,29
C10.12D6 = C15:7D4φ: D6/C6C2 ⊆ Aut C10602C10.12D6120,30
C10.13D6 = C5xDic6central extension (φ=1)1202C10.13D6120,21
C10.14D6 = S3xC20central extension (φ=1)602C10.14D6120,22
C10.15D6 = C5xD12central extension (φ=1)602C10.15D6120,23
C10.16D6 = C10xDic3central extension (φ=1)120C10.16D6120,24
C10.17D6 = C5xC3:D4central extension (φ=1)602C10.17D6120,25

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