Extensions 1→N→G→Q→1 with N=C102 and Q=C2

Direct product G=N×Q with N=C102 and Q=C2
dρLabelID
C2×C102204C2xC102204,12

Semidirect products G=N:Q with N=C102 and Q=C2
extensionφ:Q→Aut NdρLabelID
C1021C2 = D102φ: C2/C1C2 ⊆ Aut C1021022+C102:1C2204,11
C1022C2 = C6×D17φ: C2/C1C2 ⊆ Aut C1021022C102:2C2204,9
C1023C2 = S3×C34φ: C2/C1C2 ⊆ Aut C1021022C102:3C2204,10

Non-split extensions G=N.Q with N=C102 and Q=C2
extensionφ:Q→Aut NdρLabelID
C102.1C2 = Dic51φ: C2/C1C2 ⊆ Aut C1022042-C102.1C2204,3
C102.2C2 = C3×Dic17φ: C2/C1C2 ⊆ Aut C1022042C102.2C2204,2
C102.3C2 = Dic3×C17φ: C2/C1C2 ⊆ Aut C1022042C102.3C2204,1

׿
×
𝔽