Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC3:C8

Direct product G=NxQ with N=C22 and Q=C3xC3:C8
dρLabelID
C2xC6xC3:C896C2xC6xC3:C8288,691

Semidirect products G=N:Q with N=C22 and Q=C3xC3:C8
extensionφ:Q→Aut NdρLabelID
C22:(C3xC3:C8) = C3xA4:C8φ: C3xC3:C8/C12S3 ⊆ Aut C22723C2^2:(C3xC3:C8)288,398
C22:2(C3xC3:C8) = A4xC3:C8φ: C3xC3:C8/C3:C8C3 ⊆ Aut C22726C2^2:2(C3xC3:C8)288,408
C22:3(C3xC3:C8) = C3xC12.55D4φ: C3xC3:C8/C3xC12C2 ⊆ Aut C2248C2^2:3(C3xC3:C8)288,264

Non-split extensions G=N.Q with N=C22 and Q=C3xC3:C8
extensionφ:Q→Aut NdρLabelID
C22.(C3xC3:C8) = C3xC12.C8φ: C3xC3:C8/C3xC12C2 ⊆ Aut C22482C2^2.(C3xC3:C8)288,246
C22.2(C3xC3:C8) = C6xC3:C16central extension (φ=1)96C2^2.2(C3xC3:C8)288,245

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