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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.47C24

Direct product G=N×Q with N=C5 and Q=C22.47C24
dρLabelID
C5×C22.47C24160C5xC2^2.47C2^4320,1555

Semidirect products G=N:Q with N=C5 and Q=C22.47C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.47C24) = C10.112+ 1+4φ: C22.47C24/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:1(C2^2.47C2^4)320,1186
C5⋊2(C22.47C24) = C42.95D10φ: C22.47C24/C42⋊C2 → C2 ⊆ Aut C5160C5:2(C2^2.47C2^4)320,1202
C5⋊3(C22.47C24) = C42.104D10φ: C22.47C24/C4×D4 → C2 ⊆ Aut C5160C5:3(C2^2.47C2^4)320,1212
C5⋊4(C22.47C24) = C42.113D10φ: C22.47C24/C4×D4 → C2 ⊆ Aut C5160C5:4(C2^2.47C2^4)320,1230
C5⋊5(C22.47C24) = C42.119D10φ: C22.47C24/C4×D4 → C2 ⊆ Aut C5160C5:5(C2^2.47C2^4)320,1237
C5⋊6(C22.47C24) = C10.342+ 1+4φ: C22.47C24/C4⋊D4 → C2 ⊆ Aut C5160C5:6(C2^2.47C2^4)320,1273
C5⋊7(C22.47C24) = C10.432+ 1+4φ: C22.47C24/C4⋊D4 → C2 ⊆ Aut C5160C5:7(C2^2.47C2^4)320,1286
C5⋊8(C22.47C24) = C10.1152+ 1+4φ: C22.47C24/C4⋊D4 → C2 ⊆ Aut C5160C5:8(C2^2.47C2^4)320,1290
C5⋊9(C22.47C24) = C10.642+ 1+4φ: C22.47C24/C22.D4 → C2 ⊆ Aut C5160C5:9(C2^2.47C2^4)320,1333
C5⋊10(C22.47C24) = C42.153D10φ: C22.47C24/C42.C2 → C2 ⊆ Aut C5160C5:10(C2^2.47C2^4)320,1367
C5⋊11(C22.47C24) = C42.163D10φ: C22.47C24/C42⋊2C2 → C2 ⊆ Aut C5160C5:11(C2^2.47C2^4)320,1381


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