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Extensions 1→N→G→Q→1 with N=C5 and Q=C4.Dic6

Direct product G=N×Q with N=C5 and Q=C4.Dic6
dρLabelID
C5×C4.Dic6480C5xC4.Dic6480,769

Semidirect products G=N:Q with N=C5 and Q=C4.Dic6
extensionφ:Q→Aut NdρLabelID
C5⋊1(C4.Dic6) = C60.6Q8φ: C4.Dic6/C4×Dic3 → C2 ⊆ Aut C5480C5:1(C4.Dic6)480,457
C5⋊2(C4.Dic6) = Dic5.1Dic6φ: C4.Dic6/Dic3⋊C4 → C2 ⊆ Aut C5480C5:2(C4.Dic6)480,410
C5⋊3(C4.Dic6) = Dic5.2Dic6φ: C4.Dic6/C4⋊Dic3 → C2 ⊆ Aut C5480C5:3(C4.Dic6)480,411
C5⋊4(C4.Dic6) = C12.Dic10φ: C4.Dic6/C4⋊Dic3 → C2 ⊆ Aut C5480C5:4(C4.Dic6)480,460
C5⋊5(C4.Dic6) = C4.Dic30φ: C4.Dic6/C3×C4⋊C4 → C2 ⊆ Aut C5480C5:5(C4.Dic6)480,855


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