Extensions 1→N→G→Q→1 with N=C3 and Q=C4○D24

Direct product G=N×Q with N=C3 and Q=C4○D24
dρLabelID
C3×C4○D24482C3xC4oD24288,675

Semidirect products G=N:Q with N=C3 and Q=C4○D24
extensionφ:Q→Aut NdρLabelID
C31(C4○D24) = D6.1D12φ: C4○D24/C24⋊C2C2 ⊆ Aut C3484C3:1(C4oD24)288,454
C32(C4○D24) = D247S3φ: C4○D24/D24C2 ⊆ Aut C3964-C3:2(C4oD24)288,455
C33(C4○D24) = D6.3D12φ: C4○D24/Dic12C2 ⊆ Aut C3484+C3:3(C4oD24)288,456
C34(C4○D24) = C24.78D6φ: C4○D24/C2×C24C2 ⊆ Aut C3144C3:4(C4oD24)288,761
C35(C4○D24) = D12.27D6φ: C4○D24/C4○D12C2 ⊆ Aut C3484C3:5(C4oD24)288,477

Non-split extensions G=N.Q with N=C3 and Q=C4○D24
extensionφ:Q→Aut NdρLabelID
C3.(C4○D24) = D727C2φ: C4○D24/C2×C24C2 ⊆ Aut C31442C3.(C4oD24)288,115

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