Extensions 1→N→G→Q→1 with N=C3 and Q=D4.5D4

Direct product G=N×Q with N=C3 and Q=D4.5D4
dρLabelID
C3×D4.5D4964C3xD4.5D4192,906

Semidirect products G=N:Q with N=C3 and Q=D4.5D4
extensionφ:Q→Aut NdρLabelID
C31(D4.5D4) = D12.7D4φ: D4.5D4/C4.10D4C2 ⊆ Aut C3968-C3:1(D4.5D4)192,314
C32(D4.5D4) = C24.18D4φ: D4.5D4/C8.C4C2 ⊆ Aut C3964-C3:2(D4.5D4)192,455
C33(D4.5D4) = Q8.10D12φ: D4.5D4/C8○D4C2 ⊆ Aut C3964-C3:3(D4.5D4)192,702
C34(D4.5D4) = C24.29D4φ: D4.5D4/C2×Q16C2 ⊆ Aut C3964C3:4(D4.5D4)192,751
C35(D4.5D4) = M4(2).16D6φ: D4.5D4/C8.C22C2 ⊆ Aut C3968-C3:5(D4.5D4)192,763


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