Extensions 1→N→G→Q→1 with N=C52 and Q=C4⋊C4

Direct product G=N×Q with N=C52 and Q=C4⋊C4
dρLabelID
C4⋊C4×C52400C4:C4xC5^2400,110

Semidirect products G=N:Q with N=C52 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C521(C4⋊C4) = D5.Dic10φ: C4⋊C4/C2C2×C4 ⊆ Aut C52808-C5^2:1(C4:C4)400,119
C522(C4⋊C4) = Dic5⋊F5φ: C4⋊C4/C2C2×C4 ⊆ Aut C52208+C5^2:2(C4:C4)400,126
C523(C4⋊C4) = C2.D5≀C2φ: C4⋊C4/C2D4 ⊆ Aut C52204C5^2:3(C4:C4)400,130
C524(C4⋊C4) = (C5×C10).Q8φ: C4⋊C4/C2Q8 ⊆ Aut C52208+C5^2:4(C4:C4)400,134
C525(C4⋊C4) = C5×C4⋊F5φ: C4⋊C4/C4C4 ⊆ Aut C52804C5^2:5(C4:C4)400,138
C526(C4⋊C4) = C205F5φ: C4⋊C4/C4C4 ⊆ Aut C52804C5^2:6(C4:C4)400,145
C527(C4⋊C4) = C20⋊F5φ: C4⋊C4/C4C4 ⊆ Aut C52100C5^2:7(C4:C4)400,152
C528(C4⋊C4) = C202F5φ: C4⋊C4/C4C4 ⊆ Aut C52404C5^2:8(C4:C4)400,159
C529(C4⋊C4) = Dic5⋊Dic5φ: C4⋊C4/C22C22 ⊆ Aut C5280C5^2:9(C4:C4)400,74
C5210(C4⋊C4) = C10.Dic10φ: C4⋊C4/C22C22 ⊆ Aut C5280C5^2:10(C4:C4)400,75
C5211(C4⋊C4) = C5×C10.D4φ: C4⋊C4/C2×C4C2 ⊆ Aut C5280C5^2:11(C4:C4)400,84
C5212(C4⋊C4) = C5×C4⋊Dic5φ: C4⋊C4/C2×C4C2 ⊆ Aut C5280C5^2:12(C4:C4)400,85
C5213(C4⋊C4) = C102.22C22φ: C4⋊C4/C2×C4C2 ⊆ Aut C52400C5^2:13(C4:C4)400,100
C5214(C4⋊C4) = C203Dic5φ: C4⋊C4/C2×C4C2 ⊆ Aut C52400C5^2:14(C4:C4)400,101


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