Extensions 1→N→G→Q→1 with N=C10 and Q=C5xD5

Direct product G=NxQ with N=C10 and Q=C5xD5
dρLabelID
D5xC5xC10100D5xC5xC10500,53

Semidirect products G=N:Q with N=C10 and Q=C5xD5
extensionφ:Q→Aut NdρLabelID
C10:(C5xD5) = C10xC5:D5φ: C5xD5/C52C2 ⊆ Aut C10100C10:(C5xD5)500,54

Non-split extensions G=N.Q with N=C10 and Q=C5xD5
extensionφ:Q→Aut NdρLabelID
C10.1(C5xD5) = C5xDic25φ: C5xD5/C52C2 ⊆ Aut C101002C10.1(C5xD5)500,6
C10.2(C5xD5) = He5:5C4φ: C5xD5/C52C2 ⊆ Aut C1010010-C10.2(C5xD5)500,8
C10.3(C5xD5) = C50.C10φ: C5xD5/C52C2 ⊆ Aut C1010010-C10.3(C5xD5)500,9
C10.4(C5xD5) = C10xD25φ: C5xD5/C52C2 ⊆ Aut C101002C10.4(C5xD5)500,28
C10.5(C5xD5) = C2xC52:C10φ: C5xD5/C52C2 ⊆ Aut C105010+C10.5(C5xD5)500,30
C10.6(C5xD5) = C2xC25:C10φ: C5xD5/C52C2 ⊆ Aut C105010+C10.6(C5xD5)500,31
C10.7(C5xD5) = C5xC52:6C4φ: C5xD5/C52C2 ⊆ Aut C10100C10.7(C5xD5)500,38
C10.8(C5xD5) = Dic5xC25central extension (φ=1)1002C10.8(C5xD5)500,7
C10.9(C5xD5) = D5xC50central extension (φ=1)1002C10.9(C5xD5)500,29
C10.10(C5xD5) = Dic5xC52central extension (φ=1)100C10.10(C5xD5)500,37

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