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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.50C24

Direct product G=N×Q with N=C5 and Q=C22.50C24
dρLabelID
C5×C22.50C24160C5xC2^2.50C2^4320,1558

Semidirect products G=N:Q with N=C5 and Q=C22.50C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.50C24) = C42.98D10φ: C22.50C24/C42⋊C2 → C2 ⊆ Aut C5160C5:1(C2^2.50C2^4)320,1205
C5⋊2(C22.50C24) = C42.106D10φ: C22.50C24/C4×D4 → C2 ⊆ Aut C5160C5:2(C2^2.50C2^4)320,1214
C5⋊3(C22.50C24) = C42.122D10φ: C22.50C24/C4×Q8 → C2 ⊆ Aut C5160C5:3(C2^2.50C2^4)320,1240
C5⋊4(C22.50C24) = C42.135D10φ: C22.50C24/C4×Q8 → C2 ⊆ Aut C5160C5:4(C2^2.50C2^4)320,1256
C5⋊5(C22.50C24) = C10.232- 1+4φ: C22.50C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:5(C2^2.50C2^4)320,1313
C5⋊6(C22.50C24) = C42.139D10φ: C22.50C24/C4.4D4 → C2 ⊆ Aut C5160C5:6(C2^2.50C2^4)320,1343
C5⋊7(C22.50C24) = C42.160D10φ: C22.50C24/C42⋊2C2 → C2 ⊆ Aut C5160C5:7(C2^2.50C2^4)320,1374
C5⋊8(C22.50C24) = C42.177D10φ: C22.50C24/C4⋊Q8 → C2 ⊆ Aut C5160C5:8(C2^2.50C2^4)320,1404


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