Extensions 1→N→G→Q→1 with N=D10 and Q=C3:S3

Direct product G=NxQ with N=D10 and Q=C3:S3
dρLabelID
C2xD5xC3:S390C2xD5xC3:S3360,152

Semidirect products G=N:Q with N=D10 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
D10:1(C3:S3) = C30.12D6φ: C3:S3/C32C2 ⊆ Out D10180D10:1(C3:S3)360,68
D10:2(C3:S3) = C32:7D20φ: C3:S3/C32C2 ⊆ Out D10180D10:2(C3:S3)360,69

Non-split extensions G=N.Q with N=D10 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
D10.(C3:S3) = C2xC32:3F5φ: C3:S3/C32C2 ⊆ Out D1090D10.(C3:S3)360,147
D10.2(C3:S3) = D5xC3:Dic3φ: trivial image180D10.2(C3:S3)360,65

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