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
C22⋊C4×C52200C2^2:C4xC5^2400,109

Semidirect products G=N:Q with N=C52 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C52⋊1(C22⋊C4) = D5.D20φ: C22⋊C4/C2 → C2×C4 ⊆ Aut C52408+C5^2:1(C2^2:C4)400,118
C52⋊2(C22⋊C4) = D10⋊F5φ: C22⋊C4/C2 → C2×C4 ⊆ Aut C52208+C5^2:2(C2^2:C4)400,125
C52⋊3(C22⋊C4) = D52⋊C4φ: C22⋊C4/C2 → D4 ⊆ Aut C52204+C5^2:3(C2^2:C4)400,129
C52⋊4(C22⋊C4) = C5×C22⋊F5φ: C22⋊C4/C22 → C4 ⊆ Aut C52404C5^2:4(C2^2:C4)400,141
C52⋊5(C22⋊C4) = D10.D10φ: C22⋊C4/C22 → C4 ⊆ Aut C52404C5^2:5(C2^2:C4)400,148
C52⋊6(C22⋊C4) = C102⋊C4φ: C22⋊C4/C22 → C4 ⊆ Aut C52100C5^2:6(C2^2:C4)400,155
C52⋊7(C22⋊C4) = C102⋊4C4φ: C22⋊C4/C22 → C4 ⊆ Aut C52204+C5^2:7(C2^2:C4)400,162
C52⋊8(C22⋊C4) = D10⋊Dic5φ: C22⋊C4/C22 → C22 ⊆ Aut C5280C5^2:8(C2^2:C4)400,72
C52⋊9(C22⋊C4) = C10.D20φ: C22⋊C4/C22 → C22 ⊆ Aut C5240C5^2:9(C2^2:C4)400,73
C52⋊10(C22⋊C4) = C5×D10⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C5280C5^2:10(C2^2:C4)400,86
C52⋊11(C22⋊C4) = C10.11D20φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C52200C5^2:11(C2^2:C4)400,102
C52⋊12(C22⋊C4) = C5×C23.D5φ: C22⋊C4/C23 → C2 ⊆ Aut C5240C5^2:12(C2^2:C4)400,91
C52⋊13(C22⋊C4) = C102⋊11C4φ: C22⋊C4/C23 → C2 ⊆ Aut C52200C5^2:13(C2^2:C4)400,107


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