Extensions 1→N→G→Q→1 with N=C5 and Q=C2.Dic12

Direct product G=N×Q with N=C5 and Q=C2.Dic12
dρLabelID
C5×C2.Dic12480C5xC2.Dic12480,135

Semidirect products G=N:Q with N=C5 and Q=C2.Dic12
extensionφ:Q→Aut NdρLabelID
C5⋊(C2.Dic12) = Dic30⋊C4φ: C2.Dic12/Dic6C4 ⊆ Aut C51208-C5:(C2.Dic12)480,230
C52(C2.Dic12) = Dic3015C4φ: C2.Dic12/C4⋊Dic3C2 ⊆ Aut C5480C5:2(C2.Dic12)480,51
C53(C2.Dic12) = Dic308C4φ: C2.Dic12/C2×C24C2 ⊆ Aut C5480C5:3(C2.Dic12)480,176
C54(C2.Dic12) = C10.Dic12φ: C2.Dic12/C2×Dic6C2 ⊆ Aut C5480C5:4(C2.Dic12)480,49


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