# Extensions 1→N→G→Q→1 with N=C52 and Q=C22×C4

Direct product G=N×Q with N=C52 and Q=C22×C4
dρLabelID
C2×C10×C20400C2xC10xC20400,201

Semidirect products G=N:Q with N=C52 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C521(C22×C4) = C2×D5×F5φ: C22×C4/C2C2×C4 ⊆ Aut C52408+C5^2:1(C2^2xC4)400,209
C522(C22×C4) = C2×D5⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C52208+C5^2:2(C2^2xC4)400,210
C523(C22×C4) = C4×D52φ: C22×C4/C4C22 ⊆ Aut C52404C5^2:3(C2^2xC4)400,169
C524(C22×C4) = F5×C2×C10φ: C22×C4/C22C4 ⊆ Aut C5280C5^2:4(C2^2xC4)400,214
C525(C22×C4) = C22×D5.D5φ: C22×C4/C22C4 ⊆ Aut C5280C5^2:5(C2^2xC4)400,215
C526(C22×C4) = C22×C5⋊F5φ: C22×C4/C22C4 ⊆ Aut C52100C5^2:6(C2^2xC4)400,216
C527(C22×C4) = C22×C52⋊C4φ: C22×C4/C22C4 ⊆ Aut C5240C5^2:7(C2^2xC4)400,217
C528(C22×C4) = C2×D5×Dic5φ: C22×C4/C22C22 ⊆ Aut C5280C5^2:8(C2^2xC4)400,172
C529(C22×C4) = C2×Dic52D5φ: C22×C4/C22C22 ⊆ Aut C5240C5^2:9(C2^2xC4)400,175
C5210(C22×C4) = D5×C2×C20φ: C22×C4/C2×C4C2 ⊆ Aut C5280C5^2:10(C2^2xC4)400,182
C5211(C22×C4) = C2×C4×C5⋊D5φ: C22×C4/C2×C4C2 ⊆ Aut C52200C5^2:11(C2^2xC4)400,192
C5212(C22×C4) = Dic5×C2×C10φ: C22×C4/C23C2 ⊆ Aut C5280C5^2:12(C2^2xC4)400,189
C5213(C22×C4) = C22×C526C4φ: C22×C4/C23C2 ⊆ Aut C52400C5^2:13(C2^2xC4)400,199

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