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

Direct product G=N×Q with N=C3 and Q=S3×C24

Semidirect products G=N:Q with N=C3 and Q=S3×C24
extensionφ:Q→Aut NdρLabelID
C31(S3×C24) = C3×C12.29D6φ: S3×C24/C3×C3⋊C8C2 ⊆ Aut C3484C3:1(S3xC24)432,415
C32(S3×C24) = C3⋊S3×C24φ: S3×C24/C3×C24C2 ⊆ Aut C3144C3:2(S3xC24)432,480
C33(S3×C24) = C3×S3×C3⋊C8φ: S3×C24/S3×C12C2 ⊆ Aut C3484C3:3(S3xC24)432,414

Non-split extensions G=N.Q with N=C3 and Q=S3×C24
extensionφ:Q→Aut NdρLabelID
C3.1(S3×C24) = D9×C24φ: S3×C24/C3×C24C2 ⊆ Aut C31442C3.1(S3xC24)432,105
C3.2(S3×C24) = C8×C32⋊C6φ: S3×C24/C3×C24C2 ⊆ Aut C3726C3.2(S3xC24)432,115
C3.3(S3×C24) = C8×C9⋊C6φ: S3×C24/C3×C24C2 ⊆ Aut C3726C3.3(S3xC24)432,120
C3.4(S3×C24) = S3×C72central extension (φ=1)1442C3.4(S3xC24)432,109