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
C52⋊1(C22×C4) = C2×D5×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C52408+C5^2:1(C2^2xC4)400,209
C52⋊2(C22×C4) = C2×D5⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C52208+C5^2:2(C2^2xC4)400,210
C52⋊3(C22×C4) = C4×D52φ: C22×C4/C4 → C22 ⊆ Aut C52404C5^2:3(C2^2xC4)400,169
C52⋊4(C22×C4) = F5×C2×C10φ: C22×C4/C22 → C4 ⊆ Aut C5280C5^2:4(C2^2xC4)400,214
C52⋊5(C22×C4) = C22×D5.D5φ: C22×C4/C22 → C4 ⊆ Aut C5280C5^2:5(C2^2xC4)400,215
C52⋊6(C22×C4) = C22×C5⋊F5φ: C22×C4/C22 → C4 ⊆ Aut C52100C5^2:6(C2^2xC4)400,216
C52⋊7(C22×C4) = C22×C52⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C5240C5^2:7(C2^2xC4)400,217
C52⋊8(C22×C4) = C2×D5×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C5280C5^2:8(C2^2xC4)400,172
C52⋊9(C22×C4) = C2×Dic5⋊2D5φ: C22×C4/C22 → C22 ⊆ Aut C5240C5^2:9(C2^2xC4)400,175
C52⋊10(C22×C4) = D5×C2×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C5280C5^2:10(C2^2xC4)400,182
C52⋊11(C22×C4) = C2×C4×C5⋊D5φ: C22×C4/C2×C4 → C2 ⊆ Aut C52200C5^2:11(C2^2xC4)400,192
C52⋊12(C22×C4) = Dic5×C2×C10φ: C22×C4/C23 → C2 ⊆ Aut C5280C5^2:12(C2^2xC4)400,189
C52⋊13(C22×C4) = C22×C52⋊6C4φ: C22×C4/C23 → C2 ⊆ Aut C52400C5^2:13(C2^2xC4)400,199


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