Extensions 1→N→G→Q→1 with N=C3 and Q=D4⋊5D4

Direct product G=N×Q with N=C3 and Q=D4⋊5D4
dρLabelID
C3×D4⋊5D448C3xD4:5D4192,1435

Semidirect products G=N:Q with N=C3 and Q=D4⋊5D4
extensionφ:Q→Aut NdρLabelID
C3⋊1(D4⋊5D4) = C24.38D6φ: D4⋊5D4/C2×C22⋊C4 → C2 ⊆ Aut C348C3:1(D4:5D4)192,1049
C3⋊2(D4⋊5D4) = D12⋊23D4φ: D4⋊5D4/C4×D4 → C2 ⊆ Aut C348C3:2(D4:5D4)192,1109
C3⋊3(D4⋊5D4) = D4⋊5D12φ: D4⋊5D4/C4×D4 → C2 ⊆ Aut C348C3:3(D4:5D4)192,1113
C3⋊4(D4⋊5D4) = C24.44D6φ: D4⋊5D4/C22≀C2 → C2 ⊆ Aut C348C3:4(D4:5D4)192,1150
C3⋊5(D4⋊5D4) = C6.402+ 1+4φ: D4⋊5D4/C4⋊D4 → C2 ⊆ Aut C348C3:5(D4:5D4)192,1169
C3⋊6(D4⋊5D4) = D12⋊20D4φ: D4⋊5D4/C4⋊D4 → C2 ⊆ Aut C348C3:6(D4:5D4)192,1171
C3⋊7(D4⋊5D4) = D12⋊21D4φ: D4⋊5D4/C22⋊Q8 → C2 ⊆ Aut C348C3:7(D4:5D4)192,1189
C3⋊8(D4⋊5D4) = C6.1212+ 1+4φ: D4⋊5D4/C22.D4 → C2 ⊆ Aut C348C3:8(D4:5D4)192,1213
C3⋊9(D4⋊5D4) = D12⋊10D4φ: D4⋊5D4/C4.4D4 → C2 ⊆ Aut C348C3:9(D4:5D4)192,1235
C3⋊10(D4⋊5D4) = C24.53D6φ: D4⋊5D4/C22×D4 → C2 ⊆ Aut C348C3:10(D4:5D4)192,1365
C3⋊11(D4⋊5D4) = C6.1452+ 1+4φ: D4⋊5D4/C2×C4○D4 → C2 ⊆ Aut C348C3:11(D4:5D4)192,1388


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