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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4.Dic3

Direct product G=N×Q with N=C5 and Q=C2×C4.Dic3
dρLabelID
C10×C4.Dic3240C10xC4.Dic3480,800

Semidirect products G=N:Q with N=C5 and Q=C2×C4.Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4.Dic3) = C2×C12.F5φ: C2×C4.Dic3/C2×C12 → C4 ⊆ Aut C5240C5:1(C2xC4.Dic3)480,1061
C5⋊2(C2×C4.Dic3) = C60.59(C2×C4)φ: C2×C4.Dic3/C2×C12 → C4 ⊆ Aut C51204C5:2(C2xC4.Dic3)480,1062
C5⋊3(C2×C4.Dic3) = C2×C15⋊8M4(2)φ: C2×C4.Dic3/C22×C6 → C4 ⊆ Aut C5240C5:3(C2xC4.Dic3)480,1071
C5⋊4(C2×C4.Dic3) = C2×C20.32D6φ: C2×C4.Dic3/C2×C3⋊C8 → C2 ⊆ Aut C5240C5:4(C2xC4.Dic3)480,369
C5⋊5(C2×C4.Dic3) = D5×C4.Dic3φ: C2×C4.Dic3/C4.Dic3 → C2 ⊆ Aut C51204C5:5(C2xC4.Dic3)480,358
C5⋊6(C2×C4.Dic3) = C2×C60.7C4φ: C2×C4.Dic3/C22×C12 → C2 ⊆ Aut C5240C5:6(C2xC4.Dic3)480,886


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