Extensions 1→N→G→Q→1 with N=C20 and Q=Dic5

Direct product G=NxQ with N=C20 and Q=Dic5
dρLabelID
Dic5xC2080Dic5xC20400,83

Semidirect products G=N:Q with N=C20 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C20:1Dic5 = C20:5F5φ: Dic5/C5C4 ⊆ Aut C20804C20:1Dic5400,145
C20:2Dic5 = C4xD5.D5φ: Dic5/C5C4 ⊆ Aut C20804C20:2Dic5400,144
C20:3Dic5 = C20:3Dic5φ: Dic5/C10C2 ⊆ Aut C20400C20:3Dic5400,101
C20:4Dic5 = C4xC52:6C4φ: Dic5/C10C2 ⊆ Aut C20400C20:4Dic5400,99
C20:5Dic5 = C5xC4:Dic5φ: Dic5/C10C2 ⊆ Aut C2080C20:5Dic5400,85

Non-split extensions G=N.Q with N=C20 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C20.1Dic5 = C20.12F5φ: Dic5/C5C4 ⊆ Aut C20804C20.1Dic5400,143
C20.2Dic5 = C52:3C16φ: Dic5/C5C4 ⊆ Aut C20804C20.2Dic5400,57
C20.3Dic5 = C20.14F5φ: Dic5/C5C4 ⊆ Aut C20804C20.3Dic5400,142
C20.4Dic5 = C4.Dic25φ: Dic5/C10C2 ⊆ Aut C202002C20.4Dic5400,10
C20.5Dic5 = C4:Dic25φ: Dic5/C10C2 ⊆ Aut C20400C20.5Dic5400,13
C20.6Dic5 = C20.59D10φ: Dic5/C10C2 ⊆ Aut C20200C20.6Dic5400,98
C20.7Dic5 = C25:2C16φ: Dic5/C10C2 ⊆ Aut C204002C20.7Dic5400,1
C20.8Dic5 = C2xC25:2C8φ: Dic5/C10C2 ⊆ Aut C20400C20.8Dic5400,9
C20.9Dic5 = C4xDic25φ: Dic5/C10C2 ⊆ Aut C20400C20.9Dic5400,11
C20.10Dic5 = C52:7C16φ: Dic5/C10C2 ⊆ Aut C20400C20.10Dic5400,50
C20.11Dic5 = C2xC52:7C8φ: Dic5/C10C2 ⊆ Aut C20400C20.11Dic5400,97
C20.12Dic5 = C5xC4.Dic5φ: Dic5/C10C2 ⊆ Aut C20402C20.12Dic5400,82
C20.13Dic5 = C5xC5:2C16central extension (φ=1)802C20.13Dic5400,49
C20.14Dic5 = C10xC5:2C8central extension (φ=1)80C20.14Dic5400,81

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