Extensions 1→N→G→Q→1 with N=C4 and Q=C3xC3:C8

Direct product G=NxQ with N=C4 and Q=C3xC3:C8
dρLabelID
C12xC3:C896C12xC3:C8288,236

Semidirect products G=N:Q with N=C4 and Q=C3xC3:C8
extensionφ:Q→Aut NdρLabelID
C4:(C3xC3:C8) = C3xC12:C8φ: C3xC3:C8/C3xC12C2 ⊆ Aut C496C4:(C3xC3:C8)288,238

Non-split extensions G=N.Q with N=C4 and Q=C3xC3:C8
extensionφ:Q→Aut NdρLabelID
C4.(C3xC3:C8) = C3xC12.C8φ: C3xC3:C8/C3xC12C2 ⊆ Aut C4482C4.(C3xC3:C8)288,246
C4.2(C3xC3:C8) = C3xC3:C32central extension (φ=1)962C4.2(C3xC3:C8)288,64
C4.3(C3xC3:C8) = C6xC3:C16central extension (φ=1)96C4.3(C3xC3:C8)288,245

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