Extensions 1→N→G→Q→1 with N=C3 and Q=C3×S3×Q8

Direct product G=N×Q with N=C3 and Q=C3×S3×Q8
dρLabelID
S3×Q8×C32144S3xQ8xC3^2432,706

Semidirect products G=N:Q with N=C3 and Q=C3×S3×Q8
extensionφ:Q→Aut NdρLabelID
C31(C3×S3×Q8) = C3×Dic3.D6φ: C3×S3×Q8/C3×Dic6C2 ⊆ Aut C3484C3:1(C3xS3xQ8)432,645
C32(C3×S3×Q8) = C3×S3×Dic6φ: C3×S3×Q8/S3×C12C2 ⊆ Aut C3484C3:2(C3xS3xQ8)432,642
C33(C3×S3×Q8) = C3×Q8×C3⋊S3φ: C3×S3×Q8/Q8×C32C2 ⊆ Aut C3144C3:3(C3xS3xQ8)432,716

Non-split extensions G=N.Q with N=C3 and Q=C3×S3×Q8
extensionφ:Q→Aut NdρLabelID
C3.1(C3×S3×Q8) = C3×Q8×D9φ: C3×S3×Q8/Q8×C32C2 ⊆ Aut C31444C3.1(C3xS3xQ8)432,364
C3.2(C3×S3×Q8) = Q8×C32⋊C6φ: C3×S3×Q8/Q8×C32C2 ⊆ Aut C37212-C3.2(C3xS3xQ8)432,368
C3.3(C3×S3×Q8) = Q8×C9⋊C6φ: C3×S3×Q8/Q8×C32C2 ⊆ Aut C37212-C3.3(C3xS3xQ8)432,370
C3.4(C3×S3×Q8) = S3×Q8×C9central extension (φ=1)1444C3.4(C3xS3xQ8)432,366

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