Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C4○D20

Direct product G=N×Q with N=C3 and Q=C2×C4○D20
dρLabelID
C6×C4○D20240C6xC4oD20480,1138

Semidirect products G=N:Q with N=C3 and Q=C2×C4○D20
extensionφ:Q→Aut NdρLabelID
C31(C2×C4○D20) = C2×D60⋊C2φ: C2×C4○D20/C2×Dic10C2 ⊆ Aut C3240C3:1(C2xC4oD20)480,1081
C32(C2×C4○D20) = C2×D6.D10φ: C2×C4○D20/C2×C4×D5C2 ⊆ Aut C3240C3:2(C2xC4oD20)480,1083
C33(C2×C4○D20) = C2×D205S3φ: C2×C4○D20/C2×D20C2 ⊆ Aut C3240C3:3(C2xC4oD20)480,1074
C34(C2×C4○D20) = S3×C4○D20φ: C2×C4○D20/C4○D20C2 ⊆ Aut C31204C3:4(C2xC4oD20)480,1091
C35(C2×C4○D20) = C2×Dic5.D6φ: C2×C4○D20/C2×C5⋊D4C2 ⊆ Aut C3240C3:5(C2xC4oD20)480,1113
C36(C2×C4○D20) = C2×D6011C2φ: C2×C4○D20/C22×C20C2 ⊆ Aut C3240C3:6(C2xC4oD20)480,1168


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