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

Direct product G=N×Q with N=C5 and Q=D12.C4
dρLabelID
C5×D12.C42404C5xD12.C4480,786

Semidirect products G=N:Q with N=C5 and Q=D12.C4
extensionφ:Q→Aut NdρLabelID
C5⋊1(D12.C4) = Dic6.F5φ: D12.C4/Dic6 → C4 ⊆ Aut C52408+C5:1(D12.C4)480,992
C5⋊2(D12.C4) = D12.F5φ: D12.C4/D12 → C4 ⊆ Aut C52408-C5:2(D12.C4)480,989
C5⋊3(D12.C4) = D15⋊C8⋊C2φ: D12.C4/C3⋊D4 → C4 ⊆ Aut C52408C5:3(D12.C4)480,1005
C5⋊4(D12.C4) = C40.55D6φ: D12.C4/S3×C8 → C2 ⊆ Aut C52404C5:4(D12.C4)480,343
C5⋊5(D12.C4) = C40.35D6φ: D12.C4/C8⋊S3 → C2 ⊆ Aut C52404C5:5(D12.C4)480,344
C5⋊6(D12.C4) = D60.4C4φ: D12.C4/C2×C3⋊C8 → C2 ⊆ Aut C52404C5:6(D12.C4)480,367
C5⋊7(D12.C4) = D60.3C4φ: D12.C4/C3×M4(2) → C2 ⊆ Aut C52404C5:7(D12.C4)480,872
C5⋊8(D12.C4) = D12.Dic5φ: D12.C4/C4○D12 → C2 ⊆ Aut C52404C5:8(D12.C4)480,364


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