Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C24⋊C2

Direct product G=N×Q with N=C3 and Q=C2×C24⋊C2
dρLabelID
C6×C24⋊C296C6xC24:C2288,673

Semidirect products G=N:Q with N=C3 and Q=C2×C24⋊C2
extensionφ:Q→Aut NdρLabelID
C31(C2×C24⋊C2) = S3×C24⋊C2φ: C2×C24⋊C2/C24⋊C2C2 ⊆ Aut C3484C3:1(C2xC24:C2)288,440
C32(C2×C24⋊C2) = C2×C242S3φ: C2×C24⋊C2/C2×C24C2 ⊆ Aut C3144C3:2(C2xC24:C2)288,759
C33(C2×C24⋊C2) = C2×C325SD16φ: C2×C24⋊C2/C2×Dic6C2 ⊆ Aut C348C3:3(C2xC24:C2)288,480
C34(C2×C24⋊C2) = C2×D12.S3φ: C2×C24⋊C2/C2×D12C2 ⊆ Aut C396C3:4(C2xC24:C2)288,476

Non-split extensions G=N.Q with N=C3 and Q=C2×C24⋊C2
extensionφ:Q→Aut NdρLabelID
C3.(C2×C24⋊C2) = C2×C72⋊C2φ: C2×C24⋊C2/C2×C24C2 ⊆ Aut C3144C3.(C2xC24:C2)288,113

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