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Extensions 1→N→G→Q→1 with N=C5 and Q=C4.D12

Direct product G=N×Q with N=C5 and Q=C4.D12
dρLabelID
C5×C4.D12240C5xC4.D12480,776

Semidirect products G=N:Q with N=C5 and Q=C4.D12
extensionφ:Q→Aut NdρLabelID
C5⋊1(C4.D12) = D30⋊2Q8φ: C4.D12/C4⋊Dic3 → C2 ⊆ Aut C5240C5:1(C4.D12)480,495
C5⋊2(C4.D12) = D6⋊2Dic10φ: C4.D12/D6⋊C4 → C2 ⊆ Aut C5240C5:2(C4.D12)480,493
C5⋊3(C4.D12) = D30⋊6Q8φ: C4.D12/C3×C4⋊C4 → C2 ⊆ Aut C5240C5:3(C4.D12)480,862
C5⋊4(C4.D12) = D30⋊9Q8φ: C4.D12/C2×Dic6 → C2 ⊆ Aut C5240C5:4(C4.D12)480,459
C5⋊5(C4.D12) = C60.45D4φ: C4.D12/S3×C2×C4 → C2 ⊆ Aut C5240C5:5(C4.D12)480,441


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