Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC8:S3

Direct product G=NxQ with N=C3 and Q=C3xC8:S3
dρLabelID
C32xC8:S3144C3^2xC8:S3432,465

Semidirect products G=N:Q with N=C3 and Q=C3xC8:S3
extensionφ:Q→Aut NdρLabelID
C3:1(C3xC8:S3) = C3xC12.31D6φ: C3xC8:S3/C3xC3:C8C2 ⊆ Aut C3484C3:1(C3xC8:S3)432,417
C3:2(C3xC8:S3) = C3xC24:S3φ: C3xC8:S3/C3xC24C2 ⊆ Aut C3144C3:2(C3xC8:S3)432,481
C3:3(C3xC8:S3) = C3xD6.Dic3φ: C3xC8:S3/S3xC12C2 ⊆ Aut C3484C3:3(C3xC8:S3)432,416

Non-split extensions G=N.Q with N=C3 and Q=C3xC8:S3
extensionφ:Q→Aut NdρLabelID
C3.1(C3xC8:S3) = C3xC8:D9φ: C3xC8:S3/C3xC24C2 ⊆ Aut C31442C3.1(C3xC8:S3)432,106
C3.2(C3xC8:S3) = He3:5M4(2)φ: C3xC8:S3/C3xC24C2 ⊆ Aut C3726C3.2(C3xC8:S3)432,116
C3.3(C3xC8:S3) = C72:C6φ: C3xC8:S3/C3xC24C2 ⊆ Aut C3726C3.3(C3xC8:S3)432,121
C3.4(C3xC8:S3) = C9xC8:S3central extension (φ=1)1442C3.4(C3xC8:S3)432,110

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