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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.33C24

Direct product G=N×Q with N=C5 and Q=C22.33C24
dρLabelID
C5×C22.33C24160C5xC2^2.33C2^4320,1541

Semidirect products G=N:Q with N=C5 and Q=C22.33C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.33C24) = C10.62- 1+4φ: C22.33C24/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:1(C2^2.33C2^4)320,1187
C5⋊2(C22.33C24) = C42.118D10φ: C22.33C24/C4×D4 → C2 ⊆ Aut C5160C5:2(C2^2.33C2^4)320,1236
C5⋊3(C22.33C24) = C10.352+ 1+4φ: C22.33C24/C4⋊D4 → C2 ⊆ Aut C5160C5:3(C2^2.33C2^4)320,1274
C5⋊4(C22.33C24) = C10.202- 1+4φ: C22.33C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:4(C2^2.33C2^4)320,1310
C5⋊5(C22.33C24) = C10.572+ 1+4φ: C22.33C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:5(C2^2.33C2^4)320,1317
C5⋊6(C22.33C24) = C10.632+ 1+4φ: C22.33C24/C22.D4 → C2 ⊆ Aut C5160C5:6(C2^2.33C2^4)320,1332
C5⋊7(C22.33C24) = C10.852- 1+4φ: C22.33C24/C22.D4 → C2 ⊆ Aut C5160C5:7(C2^2.33C2^4)320,1337
C5⋊8(C22.33C24) = C42.150D10φ: C22.33C24/C42.C2 → C2 ⊆ Aut C5160C5:8(C2^2.33C2^4)320,1364
C5⋊9(C22.33C24) = C42.161D10φ: C22.33C24/C42⋊2C2 → C2 ⊆ Aut C5160C5:9(C2^2.33C2^4)320,1379


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