Extensions 1→N→G→Q→1 with N=C100 and Q=C4

Direct product G=NxQ with N=C100 and Q=C4
dρLabelID
C4xC100400C4xC100400,20

Semidirect products G=N:Q with N=C100 and Q=C4
extensionφ:Q→Aut NdρLabelID
C100:1C4 = C100:C4φ: C4/C1C4 ⊆ Aut C1001004C100:1C4400,31
C100:2C4 = C4xC25:C4φ: C4/C1C4 ⊆ Aut C1001004C100:2C4400,30
C100:3C4 = C4:Dic25φ: C4/C2C2 ⊆ Aut C100400C100:3C4400,13
C100:4C4 = C4xDic25φ: C4/C2C2 ⊆ Aut C100400C100:4C4400,11
C100:5C4 = C4:C4xC25φ: C4/C2C2 ⊆ Aut C100400C100:5C4400,22

Non-split extensions G=N.Q with N=C100 and Q=C4
extensionφ:Q→Aut NdρLabelID
C100.1C4 = C100.C4φ: C4/C1C4 ⊆ Aut C1002004C100.1C4400,29
C100.2C4 = C25:C16φ: C4/C1C4 ⊆ Aut C1004004C100.2C4400,3
C100.3C4 = D25:C8φ: C4/C1C4 ⊆ Aut C1002004C100.3C4400,28
C100.4C4 = C4.Dic25φ: C4/C2C2 ⊆ Aut C1002002C100.4C4400,10
C100.5C4 = C25:2C16φ: C4/C2C2 ⊆ Aut C1004002C100.5C4400,1
C100.6C4 = C2xC25:2C8φ: C4/C2C2 ⊆ Aut C100400C100.6C4400,9
C100.7C4 = M4(2)xC25φ: C4/C2C2 ⊆ Aut C1002002C100.7C4400,24

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