Extensions 1→N→G→Q→1 with N=C62 and Q=C6

Direct product G=NxQ with N=C62 and Q=C6
dρLabelID
C2xC186372C2xC186372,15

Semidirect products G=N:Q with N=C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
C62:C6 = C2xC31:C6φ: C6/C1C6 ⊆ Aut C62626+C62:C6372,7
C62:2C6 = C22xC31:C3φ: C6/C2C3 ⊆ Aut C62124C62:2C6372,9
C62:3C6 = C6xD31φ: C6/C3C2 ⊆ Aut C621862C62:3C6372,12

Non-split extensions G=N.Q with N=C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
C62.C6 = C31:C12φ: C6/C1C6 ⊆ Aut C621246-C62.C6372,1
C62.2C6 = C4xC31:C3φ: C6/C2C3 ⊆ Aut C621243C62.2C6372,2
C62.3C6 = C3xDic31φ: C6/C3C2 ⊆ Aut C623722C62.3C6372,4

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