Extensions 1→N→G→Q→1 with N=C84 and Q=C2

Direct product G=NxQ with N=C84 and Q=C2
dρLabelID
C2xC84168C2xC84168,39

Semidirect products G=N:Q with N=C84 and Q=C2
extensionφ:Q→Aut NdρLabelID
C84:1C2 = D84φ: C2/C1C2 ⊆ Aut C84842+C84:1C2168,36
C84:2C2 = C4xD21φ: C2/C1C2 ⊆ Aut C84842C84:2C2168,35
C84:3C2 = C3xD28φ: C2/C1C2 ⊆ Aut C84842C84:3C2168,26
C84:4C2 = C12xD7φ: C2/C1C2 ⊆ Aut C84842C84:4C2168,25
C84:5C2 = C7xD12φ: C2/C1C2 ⊆ Aut C84842C84:5C2168,31
C84:6C2 = S3xC28φ: C2/C1C2 ⊆ Aut C84842C84:6C2168,30
C84:7C2 = D4xC21φ: C2/C1C2 ⊆ Aut C84842C84:7C2168,40

Non-split extensions G=N.Q with N=C84 and Q=C2
extensionφ:Q→Aut NdρLabelID
C84.1C2 = Dic42φ: C2/C1C2 ⊆ Aut C841682-C84.1C2168,34
C84.2C2 = C21:C8φ: C2/C1C2 ⊆ Aut C841682C84.2C2168,5
C84.3C2 = C3xDic14φ: C2/C1C2 ⊆ Aut C841682C84.3C2168,24
C84.4C2 = C3xC7:C8φ: C2/C1C2 ⊆ Aut C841682C84.4C2168,4
C84.5C2 = C7xDic6φ: C2/C1C2 ⊆ Aut C841682C84.5C2168,29
C84.6C2 = C7xC3:C8φ: C2/C1C2 ⊆ Aut C841682C84.6C2168,3
C84.7C2 = Q8xC21φ: C2/C1C2 ⊆ Aut C841682C84.7C2168,41

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