Extensions 1→N→G→Q→1 with N=C32 and Q=C5⋊D4

Direct product G=N×Q with N=C32 and Q=C5⋊D4
dρLabelID
C32×C5⋊D4180C3^2xC5:D4360,94

Semidirect products G=N:Q with N=C32 and Q=C5⋊D4
extensionφ:Q→Aut NdρLabelID
C32⋊(C5⋊D4) = S32⋊D5φ: C5⋊D4/C5 → D4 ⊆ Aut C32304C3^2:(C5:D4)360,133
C32⋊2(C5⋊D4) = D6⋊D15φ: C5⋊D4/C10 → C22 ⊆ Aut C321204-C3^2:2(C5:D4)360,80
C32⋊3(C5⋊D4) = D6⋊2D15φ: C5⋊D4/C10 → C22 ⊆ Aut C32604+C3^2:3(C5:D4)360,82
C32⋊4(C5⋊D4) = D30⋊S3φ: C5⋊D4/C10 → C22 ⊆ Aut C32604C3^2:4(C5:D4)360,86
C32⋊5(C5⋊D4) = C3×C5⋊D12φ: C5⋊D4/Dic5 → C2 ⊆ Aut C321204C3^2:5(C5:D4)360,63
C32⋊6(C5⋊D4) = C15⋊D12φ: C5⋊D4/Dic5 → C2 ⊆ Aut C32180C3^2:6(C5:D4)360,70
C32⋊7(C5⋊D4) = C3×C15⋊D4φ: C5⋊D4/D10 → C2 ⊆ Aut C32604C3^2:7(C5:D4)360,61
C32⋊8(C5⋊D4) = C30.12D6φ: C5⋊D4/D10 → C2 ⊆ Aut C32180C3^2:8(C5:D4)360,68
C32⋊9(C5⋊D4) = C3×C15⋊7D4φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C32602C3^2:9(C5:D4)360,104
C32⋊10(C5⋊D4) = C62⋊D5φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C32180C3^2:10(C5:D4)360,114


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