Extensions 1→N→G→Q→1 with N=C5 and Q=D4.4D4

Direct product G=N×Q with N=C5 and Q=D4.4D4
dρLabelID
C5×D4.4D4804C5xD4.4D4320,973

Semidirect products G=N:Q with N=C5 and Q=D4.4D4
extensionφ:Q→Aut NdρLabelID
C51(D4.4D4) = D20.3D4φ: D4.4D4/C4.D4C2 ⊆ Aut C5808+C5:1(D4.4D4)320,376
C52(D4.4D4) = C8.21D20φ: D4.4D4/C8.C4C2 ⊆ Aut C5804+C5:2(D4.4D4)320,524
C53(D4.4D4) = D4.4D20φ: D4.4D4/C8○D4C2 ⊆ Aut C5804+C5:3(D4.4D4)320,769
C54(D4.4D4) = C40.23D4φ: D4.4D4/C2×D8C2 ⊆ Aut C5804C5:4(D4.4D4)320,787
C55(D4.4D4) = M4(2).D10φ: D4.4D4/C8⋊C22C2 ⊆ Aut C5808+C5:5(D4.4D4)320,826


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