Extensions 1→N→G→Q→1 with N=C3 and Q=D4⋊D10

Direct product G=N×Q with N=C3 and Q=D4⋊D10
dρLabelID
C3×D4⋊D101204C3xD4:D10480,742

Semidirect products G=N:Q with N=C3 and Q=D4⋊D10
extensionφ:Q→Aut NdρLabelID
C31(D4⋊D10) = C60.38D4φ: D4⋊D10/C4.Dic5C2 ⊆ Aut C31204+C3:1(D4:D10)480,381
C32(D4⋊D10) = D60.C22φ: D4⋊D10/D4⋊D5C2 ⊆ Aut C31208+C3:2(D4:D10)480,556
C33(D4⋊D10) = D12⋊D10φ: D4⋊D10/Q8⋊D5C2 ⊆ Aut C31208+C3:3(D4:D10)480,580
C34(D4⋊D10) = C60.36D4φ: D4⋊D10/C2×D20C2 ⊆ Aut C31204C3:4(D4:D10)480,374
C35(D4⋊D10) = D4⋊D30φ: D4⋊D10/C5×C4○D4C2 ⊆ Aut C31204+C3:5(D4:D10)480,914


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