Extensions 1→N→G→Q→1 with N=C3 and Q=D4.3D4

Direct product G=N×Q with N=C3 and Q=D4.3D4
dρLabelID
C3×D4.3D4484C3xD4.3D4192,904

Semidirect products G=N:Q with N=C3 and Q=D4.3D4
extensionφ:Q→Aut NdρLabelID
C31(D4.3D4) = D12.2D4φ: D4.3D4/C4.D4C2 ⊆ Aut C3488-C3:1(D4.3D4)192,307
C32(D4.3D4) = D12.6D4φ: D4.3D4/C4.10D4C2 ⊆ Aut C3488+C3:2(D4.3D4)192,313
C33(D4.3D4) = C24.42D4φ: D4.3D4/C8.C4C2 ⊆ Aut C3484C3:3(D4.3D4)192,457
C34(D4.3D4) = Q8.8D12φ: D4.3D4/C8○D4C2 ⊆ Aut C3484C3:4(D4.3D4)192,700
C35(D4.3D4) = C24.44D4φ: D4.3D4/C2×SD16C2 ⊆ Aut C3484C3:5(D4.3D4)192,736
C36(D4.3D4) = M4(2).13D6φ: D4.3D4/C8⋊C22C2 ⊆ Aut C3488-C3:6(D4.3D4)192,759
C37(D4.3D4) = M4(2).15D6φ: D4.3D4/C8.C22C2 ⊆ Aut C3488+C3:7(D4.3D4)192,762


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