Extensions 1→N→G→Q→1 with N=C6 and Q=C4×C20

Direct product G=N×Q with N=C6 and Q=C4×C20

Semidirect products G=N:Q with N=C6 and Q=C4×C20
extensionφ:Q→Aut NdρLabelID
C6⋊(C4×C20) = Dic3×C2×C20φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6:(C4xC20)480,801

Non-split extensions G=N.Q with N=C6 and Q=C4×C20
extensionφ:Q→Aut NdρLabelID
C6.1(C4×C20) = C20×C3⋊C8φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6.1(C4xC20)480,121
C6.2(C4×C20) = C5×C42.S3φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6.2(C4xC20)480,122
C6.3(C4×C20) = Dic3×C40φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6.3(C4xC20)480,132
C6.4(C4×C20) = C5×C24⋊C4φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6.4(C4xC20)480,134
C6.5(C4×C20) = C5×C6.C42φ: C4×C20/C2×C20C2 ⊆ Aut C6480C6.5(C4xC20)480,150
C6.6(C4×C20) = C15×C2.C42central extension (φ=1)480C6.6(C4xC20)480,198
C6.7(C4×C20) = C15×C8⋊C4central extension (φ=1)480C6.7(C4xC20)480,200