Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C8⋊C22

Direct product G=N×Q with N=C3 and Q=C3×C8⋊C22
dρLabelID
C32×C8⋊C2272C3^2xC8:C2^2288,833

Semidirect products G=N:Q with N=C3 and Q=C3×C8⋊C22
extensionφ:Q→Aut NdρLabelID
C31(C3×C8⋊C22) = C3×C8⋊D6φ: C3×C8⋊C22/C3×M4(2)C2 ⊆ Aut C3484C3:1(C3xC8:C2^2)288,679
C32(C3×C8⋊C22) = C3×D8⋊S3φ: C3×C8⋊C22/C3×D8C2 ⊆ Aut C3484C3:2(C3xC8:C2^2)288,682
C33(C3×C8⋊C22) = C3×Q83D6φ: C3×C8⋊C22/C3×SD16C2 ⊆ Aut C3484C3:3(C3xC8:C2^2)288,685
C34(C3×C8⋊C22) = C3×D126C22φ: C3×C8⋊C22/C6×D4C2 ⊆ Aut C3244C3:4(C3xC8:C2^2)288,703
C35(C3×C8⋊C22) = C3×D4⋊D6φ: C3×C8⋊C22/C3×C4○D4C2 ⊆ Aut C3484C3:5(C3xC8:C2^2)288,720

Non-split extensions G=N.Q with N=C3 and Q=C3×C8⋊C22
extensionφ:Q→Aut NdρLabelID
C3.(C3×C8⋊C22) = C9×C8⋊C22central extension (φ=1)724C3.(C3xC8:C2^2)288,186

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