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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.46C24

Direct product G=N×Q with N=C5 and Q=C22.46C24
dρLabelID
C5×C22.46C24160C5xC2^2.46C2^4320,1554

Semidirect products G=N:Q with N=C5 and Q=C22.46C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.46C24) = C10.52- 1+4φ: C22.46C24/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:1(C2^2.46C2^4)320,1185
C5⋊2(C22.46C24) = C42.94D10φ: C22.46C24/C42⋊C2 → C2 ⊆ Aut C5160C5:2(C2^2.46C2^4)320,1201
C5⋊3(C22.46C24) = C42.96D10φ: C22.46C24/C42⋊C2 → C2 ⊆ Aut C5160C5:3(C2^2.46C2^4)320,1203
C5⋊4(C22.46C24) = C42.105D10φ: C22.46C24/C4×D4 → C2 ⊆ Aut C5160C5:4(C2^2.46C2^4)320,1213
C5⋊5(C22.46C24) = C42.132D10φ: C22.46C24/C4×Q8 → C2 ⊆ Aut C5160C5:5(C2^2.46C2^4)320,1253
C5⋊6(C22.46C24) = C10.212- 1+4φ: C22.46C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:6(C2^2.46C2^4)320,1311
C5⋊7(C22.46C24) = C10.772- 1+4φ: C22.46C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:7(C2^2.46C2^4)320,1314
C5⋊8(C22.46C24) = C10.802- 1+4φ: C22.46C24/C22.D4 → C2 ⊆ Aut C5160C5:8(C2^2.46C2^4)320,1322
C5⋊9(C22.46C24) = C42.151D10φ: C22.46C24/C42.C2 → C2 ⊆ Aut C5160C5:9(C2^2.46C2^4)320,1365
C5⋊10(C22.46C24) = C42.152D10φ: C22.46C24/C42.C2 → C2 ⊆ Aut C5160C5:10(C2^2.46C2^4)320,1366
C5⋊11(C22.46C24) = C42.162D10φ: C22.46C24/C42⋊2C2 → C2 ⊆ Aut C5160C5:11(C2^2.46C2^4)320,1380


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