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
C521(C22⋊C4) = D5.D20φ: C22⋊C4/C2C2×C4 ⊆ Aut C52408+C5^2:1(C2^2:C4)400,118
C522(C22⋊C4) = D10⋊F5φ: C22⋊C4/C2C2×C4 ⊆ Aut C52208+C5^2:2(C2^2:C4)400,125
C523(C22⋊C4) = D52⋊C4φ: C22⋊C4/C2D4 ⊆ Aut C52204+C5^2:3(C2^2:C4)400,129
C524(C22⋊C4) = C5×C22⋊F5φ: C22⋊C4/C22C4 ⊆ Aut C52404C5^2:4(C2^2:C4)400,141
C525(C22⋊C4) = D10.D10φ: C22⋊C4/C22C4 ⊆ Aut C52404C5^2:5(C2^2:C4)400,148
C526(C22⋊C4) = C102⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C52100C5^2:6(C2^2:C4)400,155
C527(C22⋊C4) = C1024C4φ: C22⋊C4/C22C4 ⊆ Aut C52204+C5^2:7(C2^2:C4)400,162
C528(C22⋊C4) = D10⋊Dic5φ: C22⋊C4/C22C22 ⊆ Aut C5280C5^2:8(C2^2:C4)400,72
C529(C22⋊C4) = C10.D20φ: C22⋊C4/C22C22 ⊆ Aut C5240C5^2:9(C2^2:C4)400,73
C5210(C22⋊C4) = C5×D10⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C5280C5^2:10(C2^2:C4)400,86
C5211(C22⋊C4) = C10.11D20φ: C22⋊C4/C2×C4C2 ⊆ Aut C52200C5^2:11(C2^2:C4)400,102
C5212(C22⋊C4) = C5×C23.D5φ: C22⋊C4/C23C2 ⊆ Aut C5240C5^2:12(C2^2:C4)400,91
C5213(C22⋊C4) = C10211C4φ: C22⋊C4/C23C2 ⊆ Aut C52200C5^2:13(C2^2:C4)400,107


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