Extensions 1→N→G→Q→1 with N=C8 and Q=C32:C4

Direct product G=NxQ with N=C8 and Q=C32:C4
dρLabelID
C8xC32:C4484C8xC3^2:C4288,414

Semidirect products G=N:Q with N=C8 and Q=C32:C4
extensionφ:Q→Aut NdρLabelID
C8:1(C32:C4) = C3:S3.4D8φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8:1(C3^2:C4)288,417
C8:2(C32:C4) = C8:(C32:C4)φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8:2(C3^2:C4)288,416
C8:3(C32:C4) = (C3xC24):C4φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8:3(C3^2:C4)288,415

Non-split extensions G=N.Q with N=C8 and Q=C32:C4
extensionφ:Q→Aut NdρLabelID
C8.1(C32:C4) = C8.(C32:C4)φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8.1(C3^2:C4)288,419
C8.2(C32:C4) = (C3xC24).C4φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8.2(C3^2:C4)288,418
C8.3(C32:C4) = C32:3M5(2)φ: C32:C4/C3:S3C2 ⊆ Aut C8484C8.3(C3^2:C4)288,413
C8.4(C32:C4) = C32:2C32central extension (φ=1)964C8.4(C3^2:C4)288,188
C8.5(C32:C4) = C3:S3:3C16central extension (φ=1)484C8.5(C3^2:C4)288,412

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