Extensions 1→N→G→Q→1 with N=C6 and Q=D14

Direct product G=NxQ with N=C6 and Q=D14
dρLabelID
C2xC6xD784C2xC6xD7168,54

Semidirect products G=N:Q with N=C6 and Q=D14
extensionφ:Q→Aut NdρLabelID
C6:1D14 = C2xS3xD7φ: D14/D7C2 ⊆ Aut C6424+C6:1D14168,50
C6:2D14 = C22xD21φ: D14/C14C2 ⊆ Aut C684C6:2D14168,56

Non-split extensions G=N.Q with N=C6 and Q=D14
extensionφ:Q→Aut NdρLabelID
C6.1D14 = Dic3xD7φ: D14/D7C2 ⊆ Aut C6844-C6.1D14168,12
C6.2D14 = S3xDic7φ: D14/D7C2 ⊆ Aut C6844-C6.2D14168,13
C6.3D14 = D21:C4φ: D14/D7C2 ⊆ Aut C6844+C6.3D14168,14
C6.4D14 = C21:D4φ: D14/D7C2 ⊆ Aut C6844-C6.4D14168,15
C6.5D14 = C3:D28φ: D14/D7C2 ⊆ Aut C6844+C6.5D14168,16
C6.6D14 = C7:D12φ: D14/D7C2 ⊆ Aut C6844+C6.6D14168,17
C6.7D14 = C21:Q8φ: D14/D7C2 ⊆ Aut C61684-C6.7D14168,18
C6.8D14 = Dic42φ: D14/C14C2 ⊆ Aut C61682-C6.8D14168,34
C6.9D14 = C4xD21φ: D14/C14C2 ⊆ Aut C6842C6.9D14168,35
C6.10D14 = D84φ: D14/C14C2 ⊆ Aut C6842+C6.10D14168,36
C6.11D14 = C2xDic21φ: D14/C14C2 ⊆ Aut C6168C6.11D14168,37
C6.12D14 = C21:7D4φ: D14/C14C2 ⊆ Aut C6842C6.12D14168,38
C6.13D14 = C3xDic14central extension (φ=1)1682C6.13D14168,24
C6.14D14 = C12xD7central extension (φ=1)842C6.14D14168,25
C6.15D14 = C3xD28central extension (φ=1)842C6.15D14168,26
C6.16D14 = C6xDic7central extension (φ=1)168C6.16D14168,27
C6.17D14 = C3xC7:D4central extension (φ=1)842C6.17D14168,28

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