Extensions 1→N→G→Q→1 with N=C57 and Q=C6

Direct product G=NxQ with N=C57 and Q=C6
dρLabelID
C3xC114342C3xC114342,18

Semidirect products G=N:Q with N=C57 and Q=C6
extensionφ:Q→Aut NdρLabelID
C57:1C6 = D57:C3φ: C6/C1C6 ⊆ Aut C57576+C57:1C6342,11
C57:2C6 = C3xC19:C6φ: C6/C1C6 ⊆ Aut C57576C57:2C6342,9
C57:3C6 = S3xC19:C3φ: C6/C1C6 ⊆ Aut C57576C57:3C6342,10
C57:4C6 = C6xC19:C3φ: C6/C2C3 ⊆ Aut C571143C57:4C6342,12
C57:5C6 = C3xD57φ: C6/C3C2 ⊆ Aut C571142C57:5C6342,15
C57:6C6 = C32xD19φ: C6/C3C2 ⊆ Aut C57171C57:6C6342,13
C57:7C6 = S3xC57φ: C6/C3C2 ⊆ Aut C571142C57:7C6342,14

Non-split extensions G=N.Q with N=C57 and Q=C6
extensionφ:Q→Aut NdρLabelID
C57.C6 = C57.C6φ: C6/C1C6 ⊆ Aut C571716C57.C6342,1
C57.2C6 = C2xC19:2C9φ: C6/C2C3 ⊆ Aut C573423C57.2C6342,2
C57.3C6 = C9xD19φ: C6/C3C2 ⊆ Aut C571712C57.3C6342,4

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