Extensions 1→N→G→Q→1 with N=C5 and Q=C12.D4

Direct product G=N×Q with N=C5 and Q=C12.D4
dρLabelID
C5×C12.D41204C5xC12.D4480,152

Semidirect products G=N:Q with N=C5 and Q=C12.D4
extensionφ:Q→Aut NdρLabelID
C5⋊(C12.D4) = C5⋊(C12.D4)φ: C12.D4/C22×C6C4 ⊆ Aut C51204C5:(C12.D4)480,318
C52(C12.D4) = C60.28D4φ: C12.D4/C4.Dic3C2 ⊆ Aut C51204C5:2(C12.D4)480,34
C53(C12.D4) = C60.8D4φ: C12.D4/C6×D4C2 ⊆ Aut C51204C5:3(C12.D4)480,193


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