Extensions 1→N→G→Q→1 with N=C10 and Q=F5

Direct product G=NxQ with N=C10 and Q=F5
dρLabelID
C10xF5404C10xF5200,45

Semidirect products G=N:Q with N=C10 and Q=F5
extensionφ:Q→Aut NdρLabelID
C10:1F5 = C2xC5:F5φ: F5/C5C4 ⊆ Aut C1050C10:1F5200,47
C10:2F5 = C2xC52:C4φ: F5/C5C4 ⊆ Aut C10204+C10:2F5200,48
C10:3F5 = C2xD5.D5φ: F5/D5C2 ⊆ Aut C10404C10:3F5200,46

Non-split extensions G=N.Q with N=C10 and Q=F5
extensionφ:Q→Aut NdρLabelID
C10.1F5 = C25:C8φ: F5/C5C4 ⊆ Aut C102004-C10.1F5200,3
C10.2F5 = C2xC25:C4φ: F5/C5C4 ⊆ Aut C10504+C10.2F5200,12
C10.3F5 = C52:4C8φ: F5/C5C4 ⊆ Aut C10200C10.3F5200,20
C10.4F5 = C52:5C8φ: F5/C5C4 ⊆ Aut C10404-C10.4F5200,21
C10.5F5 = C52:3C8φ: F5/D5C2 ⊆ Aut C10404C10.5F5200,19
C10.6F5 = C5xC5:C8central extension (φ=1)404C10.6F5200,18

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