Extensions 1→N→G→Q→1 with N=C5 and Q=C22.D4

Direct product G=NxQ with N=C5 and Q=C22.D4
dρLabelID
C5xC22.D480C5xC2^2.D4160,184

Semidirect products G=N:Q with N=C5 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C5:1(C22.D4) = D10.12D4φ: C22.D4/C22:C4C2 ⊆ Aut C580C5:1(C2^2.D4)160,104
C5:2(C22.D4) = C22.D20φ: C22.D4/C22:C4C2 ⊆ Aut C580C5:2(C2^2.D4)160,107
C5:3(C22.D4) = D10.13D4φ: C22.D4/C4:C4C2 ⊆ Aut C580C5:3(C2^2.D4)160,115
C5:4(C22.D4) = C23.23D10φ: C22.D4/C22xC4C2 ⊆ Aut C580C5:4(C2^2.D4)160,150
C5:5(C22.D4) = C23.18D10φ: C22.D4/C2xD4C2 ⊆ Aut C580C5:5(C2^2.D4)160,156


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