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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.34C24

Direct product G=N×Q with N=C5 and Q=C22.34C24
dρLabelID
C5×C22.34C24160C5xC2^2.34C2^4320,1542

Semidirect products G=N:Q with N=C5 and Q=C22.34C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.34C24) = C42.100D10φ: C22.34C24/C42⋊C2 → C2 ⊆ Aut C5160C5:1(C2^2.34C2^4)320,1207
C5⋊2(C22.34C24) = C42.116D10φ: C22.34C24/C4×D4 → C2 ⊆ Aut C5160C5:2(C2^2.34C2^4)320,1234
C5⋊3(C22.34C24) = C10.442+ 1+4φ: C22.34C24/C4⋊D4 → C2 ⊆ Aut C5160C5:3(C2^2.34C2^4)320,1287
C5⋊4(C22.34C24) = C10.472+ 1+4φ: C22.34C24/C4⋊D4 → C2 ⊆ Aut C5160C5:4(C2^2.34C2^4)320,1291
C5⋊5(C22.34C24) = C10.662+ 1+4φ: C22.34C24/C22.D4 → C2 ⊆ Aut C5160C5:5(C2^2.34C2^4)320,1335
C5⋊6(C22.34C24) = C42.156D10φ: C22.34C24/C42.C2 → C2 ⊆ Aut C5160C5:6(C2^2.34C2^4)320,1370
C5⋊7(C22.34C24) = C42.168D10φ: C22.34C24/C4⋊1D4 → C2 ⊆ Aut C5160C5:7(C2^2.34C2^4)320,1391


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