Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C5⋊D4

Direct product G=N×Q with N=C3 and Q=C2×C5⋊D4
dρLabelID
C6×C5⋊D4120C6xC5:D4240,164

Semidirect products G=N:Q with N=C3 and Q=C2×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C31(C2×C5⋊D4) = C2×C5⋊D12φ: C2×C5⋊D4/C2×Dic5C2 ⊆ Aut C3120C3:1(C2xC5:D4)240,147
C32(C2×C5⋊D4) = S3×C5⋊D4φ: C2×C5⋊D4/C5⋊D4C2 ⊆ Aut C3604C3:2(C2xC5:D4)240,150
C33(C2×C5⋊D4) = C2×C15⋊D4φ: C2×C5⋊D4/C22×D5C2 ⊆ Aut C3120C3:3(C2xC5:D4)240,145
C34(C2×C5⋊D4) = C2×C157D4φ: C2×C5⋊D4/C22×C10C2 ⊆ Aut C3120C3:4(C2xC5:D4)240,184


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