# Extensions 1→N→G→Q→1 with N=C5 and Q=C22.36C24

Direct product G=N×Q with N=C5 and Q=C22.36C24
dρLabelID
C5×C22.36C24160C5xC2^2.36C2^4320,1544

Semidirect products G=N:Q with N=C5 and Q=C22.36C24
extensionφ:Q→Aut NdρLabelID
C51(C22.36C24) = C42.99D10φ: C22.36C24/C42⋊C2C2 ⊆ Aut C5160C5:1(C2^2.36C2^4)320,1206
C52(C22.36C24) = C42.115D10φ: C22.36C24/C4×D4C2 ⊆ Aut C5160C5:2(C2^2.36C2^4)320,1233
C53(C22.36C24) = C42.133D10φ: C22.36C24/C4×Q8C2 ⊆ Aut C5160C5:3(C2^2.36C2^4)320,1254
C54(C22.36C24) = C10.362+ 1+4φ: C22.36C24/C4⋊D4C2 ⊆ Aut C5160C5:4(C2^2.36C2^4)320,1275
C55(C22.36C24) = C10.222- 1+4φ: C22.36C24/C22⋊Q8C2 ⊆ Aut C5160C5:5(C2^2.36C2^4)320,1312
C56(C22.36C24) = C10.242- 1+4φ: C22.36C24/C22⋊Q8C2 ⊆ Aut C5160C5:6(C2^2.36C2^4)320,1315
C57(C22.36C24) = C10.842- 1+4φ: C22.36C24/C22.D4C2 ⊆ Aut C5160C5:7(C2^2.36C2^4)320,1334
C58(C22.36C24) = C42.137D10φ: C22.36C24/C4.4D4C2 ⊆ Aut C5160C5:8(C2^2.36C2^4)320,1341
C59(C22.36C24) = C42.144D10φ: C22.36C24/C4.4D4C2 ⊆ Aut C5160C5:9(C2^2.36C2^4)320,1354
C510(C22.36C24) = C42.164D10φ: C22.36C24/C422C2C2 ⊆ Aut C5160C5:10(C2^2.36C2^4)320,1382
C511(C22.36C24) = C42.178D10φ: C22.36C24/C4⋊Q8C2 ⊆ Aut C5160C5:11(C2^2.36C2^4)320,1405

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