Extensions 1→N→G→Q→1 with N=C3 and Q=C24:S3

Direct product G=NxQ with N=C3 and Q=C24:S3
dρLabelID
C3xC24:S3144C3xC24:S3432,481

Semidirect products G=N:Q with N=C3 and Q=C24:S3
extensionφ:Q→Aut NdρLabelID
C3:1(C24:S3) = C33:9M4(2)φ: C24:S3/C32:4C8C2 ⊆ Aut C372C3:1(C24:S3)432,435
C3:2(C24:S3) = C33:15M4(2)φ: C24:S3/C3xC24C2 ⊆ Aut C3216C3:2(C24:S3)432,497
C3:3(C24:S3) = C33:8M4(2)φ: C24:S3/C4xC3:S3C2 ⊆ Aut C3144C3:3(C24:S3)432,434

Non-split extensions G=N.Q with N=C3 and Q=C24:S3
extensionφ:Q→Aut NdρLabelID
C3.(C24:S3) = C72:S3φ: C24:S3/C3xC24C2 ⊆ Aut C3216C3.(C24:S3)432,170
C3.2(C24:S3) = He3:6M4(2)central stem extension (φ=1)726C3.2(C24:S3)432,174

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