Extensions 1→N→G→Q→1 with N=C3:C8 and Q=C12

Direct product G=NxQ with N=C3:C8 and Q=C12
dρLabelID
C12xC3:C896C12xC3:C8288,236

Semidirect products G=N:Q with N=C3:C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C3:C8:1C12 = C3xC6.Q16φ: C12/C6C2 ⊆ Out C3:C896C3:C8:1C12288,241
C3:C8:2C12 = C3xC12.Q8φ: C12/C6C2 ⊆ Out C3:C896C3:C8:2C12288,242
C3:C8:3C12 = C3xC42.S3φ: C12/C6C2 ⊆ Out C3:C896C3:C8:3C12288,237
C3:C8:4C12 = C3xC24:C4φ: C12/C6C2 ⊆ Out C3:C896C3:C8:4C12288,249
C3:C8:5C12 = Dic3xC24φ: trivial image96C3:C8:5C12288,247

Non-split extensions G=N.Q with N=C3:C8 and Q=C12
extensionφ:Q→Out NdρLabelID
C3:C8.1C12 = C3xC12.53D4φ: C12/C6C2 ⊆ Out C3:C8484C3:C8.1C12288,256
C3:C8.2C12 = C3xD6.C8φ: C12/C6C2 ⊆ Out C3:C8962C3:C8.2C12288,232
C3:C8.3C12 = S3xC48φ: trivial image962C3:C8.3C12288,231

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