Extensions 1→N→G→Q→1 with N=C74 and Q=C6

Direct product G=NxQ with N=C74 and Q=C6
dρLabelID
C2xC222444C2xC222444,18

Semidirect products G=N:Q with N=C74 and Q=C6
extensionφ:Q→Aut NdρLabelID
C74:C6 = C2xC37:C6φ: C6/C1C6 ⊆ Aut C74746+C74:C6444,8
C74:2C6 = C22xC37:C3φ: C6/C2C3 ⊆ Aut C74148C74:2C6444,12
C74:3C6 = C6xD37φ: C6/C3C2 ⊆ Aut C742222C74:3C6444,15

Non-split extensions G=N.Q with N=C74 and Q=C6
extensionφ:Q→Aut NdρLabelID
C74.C6 = C74.C6φ: C6/C1C6 ⊆ Aut C741486-C74.C6444,1
C74.2C6 = C4xC37:C3φ: C6/C2C3 ⊆ Aut C741483C74.2C6444,2
C74.3C6 = C3xDic37φ: C6/C3C2 ⊆ Aut C744442C74.3C6444,4

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