# Extensions 1→N→G→Q→1 with N=C52 and Q=C2×C4

Direct product G=N×Q with N=C52 and Q=C2×C4
dρLabelID
C10×C20200C10xC20200,37

Semidirect products G=N:Q with N=C52 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C521(C2×C4) = D5×F5φ: C2×C4/C1C2×C4 ⊆ Aut C52208+C5^2:1(C2xC4)200,41
C522(C2×C4) = D5⋊F5φ: C2×C4/C1C2×C4 ⊆ Aut C52108+C5^2:2(C2xC4)200,42
C523(C2×C4) = C10×F5φ: C2×C4/C2C4 ⊆ Aut C52404C5^2:3(C2xC4)200,45
C524(C2×C4) = C2×D5.D5φ: C2×C4/C2C4 ⊆ Aut C52404C5^2:4(C2xC4)200,46
C525(C2×C4) = C2×C5⋊F5φ: C2×C4/C2C4 ⊆ Aut C5250C5^2:5(C2xC4)200,47
C526(C2×C4) = C2×C52⋊C4φ: C2×C4/C2C4 ⊆ Aut C52204+C5^2:6(C2xC4)200,48
C527(C2×C4) = D5×Dic5φ: C2×C4/C2C22 ⊆ Aut C52404-C5^2:7(C2xC4)200,22
C528(C2×C4) = Dic52D5φ: C2×C4/C2C22 ⊆ Aut C52204+C5^2:8(C2xC4)200,23
C529(C2×C4) = D5×C20φ: C2×C4/C4C2 ⊆ Aut C52402C5^2:9(C2xC4)200,28
C5210(C2×C4) = C4×C5⋊D5φ: C2×C4/C4C2 ⊆ Aut C52100C5^2:10(C2xC4)200,33
C5211(C2×C4) = C10×Dic5φ: C2×C4/C22C2 ⊆ Aut C5240C5^2:11(C2xC4)200,30
C5212(C2×C4) = C2×C526C4φ: C2×C4/C22C2 ⊆ Aut C52200C5^2:12(C2xC4)200,35

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