Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊Dic3

Direct product G=N×Q with N=C5 and Q=C8⋊Dic3
dρLabelID
C5×C8⋊Dic3480C5xC8:Dic3480,136

Semidirect products G=N:Q with N=C5 and Q=C8⋊Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊(C8⋊Dic3) = C120⋊C4φ: C8⋊Dic3/C24 → C4 ⊆ Aut C51204C5:(C8:Dic3)480,298
C5⋊2(C8⋊Dic3) = C60.7Q8φ: C8⋊Dic3/C4⋊Dic3 → C2 ⊆ Aut C5480C5:2(C8:Dic3)480,61
C5⋊3(C8⋊Dic3) = C120⋊10C4φ: C8⋊Dic3/C2×C24 → C2 ⊆ Aut C5480C5:3(C8:Dic3)480,177


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