Extensions 1→N→G→Q→1 with N=C5 and Q=C23.20D4

Direct product G=NxQ with N=C5 and Q=C23.20D4
dρLabelID
C5xC23.20D4160C5xC2^3.20D4320,986

Semidirect products G=N:Q with N=C5 and Q=C23.20D4
extensionφ:Q→Aut NdρLabelID
C5:1(C23.20D4) = C23.10D20φ: C23.20D4/C22:C8C2 ⊆ Aut C5160C5:1(C2^3.20D4)320,350
C5:2(C23.20D4) = (C2xC8).D10φ: C23.20D4/Q8:C4C2 ⊆ Aut C5160C5:2(C2^3.20D4)320,441
C5:3(C23.20D4) = D10:1C8.C2φ: C23.20D4/Q8:C4C2 ⊆ Aut C5160C5:3(C2^3.20D4)320,442
C5:4(C23.20D4) = C20.(C4oD4)φ: C23.20D4/C4.Q8C2 ⊆ Aut C5160C5:4(C2^3.20D4)320,494
C5:5(C23.20D4) = C2.D8:7D5φ: C23.20D4/C2.D8C2 ⊆ Aut C5160C5:5(C2^3.20D4)320,515
C5:6(C23.20D4) = C4:C4.233D10φ: C23.20D4/C42:C2C2 ⊆ Aut C5160C5:6(C2^3.20D4)320,623
C5:7(C23.20D4) = C10.(C4oD8)φ: C23.20D4/C22:Q8C2 ⊆ Aut C5160C5:7(C2^3.20D4)320,672


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