Extensions 1→N→G→Q→1 with N=C51 and Q=C2×C4

Direct product G=N×Q with N=C51 and Q=C2×C4
dρLabelID
C2×C204408C2xC204408,30

Semidirect products G=N:Q with N=C51 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C51⋊(C2×C4) = S3×C17⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C51518+C51:(C2xC4)408,35
C512(C2×C4) = C2×C51⋊C4φ: C2×C4/C2C4 ⊆ Aut C511024C51:2(C2xC4)408,40
C513(C2×C4) = C6×C17⋊C4φ: C2×C4/C2C4 ⊆ Aut C511024C51:3(C2xC4)408,39
C514(C2×C4) = Dic3×D17φ: C2×C4/C2C22 ⊆ Aut C512044-C51:4(C2xC4)408,7
C515(C2×C4) = S3×Dic17φ: C2×C4/C2C22 ⊆ Aut C512044-C51:5(C2xC4)408,8
C516(C2×C4) = D512C4φ: C2×C4/C2C22 ⊆ Aut C512044+C51:6(C2xC4)408,9
C517(C2×C4) = C4×D51φ: C2×C4/C4C2 ⊆ Aut C512042C51:7(C2xC4)408,26
C518(C2×C4) = C12×D17φ: C2×C4/C4C2 ⊆ Aut C512042C51:8(C2xC4)408,16
C519(C2×C4) = S3×C68φ: C2×C4/C4C2 ⊆ Aut C512042C51:9(C2xC4)408,21
C5110(C2×C4) = C2×Dic51φ: C2×C4/C22C2 ⊆ Aut C51408C51:10(C2xC4)408,28
C5111(C2×C4) = C6×Dic17φ: C2×C4/C22C2 ⊆ Aut C51408C51:11(C2xC4)408,18
C5112(C2×C4) = Dic3×C34φ: C2×C4/C22C2 ⊆ Aut C51408C51:12(C2xC4)408,23


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