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
C52⋊1(C2×C4) = D5×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C52208+C5^2:1(C2xC4)200,41
C52⋊2(C2×C4) = D5⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C52108+C5^2:2(C2xC4)200,42
C52⋊3(C2×C4) = C10×F5φ: C2×C4/C2 → C4 ⊆ Aut C52404C5^2:3(C2xC4)200,45
C52⋊4(C2×C4) = C2×D5.D5φ: C2×C4/C2 → C4 ⊆ Aut C52404C5^2:4(C2xC4)200,46
C52⋊5(C2×C4) = C2×C5⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C5250C5^2:5(C2xC4)200,47
C52⋊6(C2×C4) = C2×C52⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C52204+C5^2:6(C2xC4)200,48
C52⋊7(C2×C4) = D5×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C52404-C5^2:7(C2xC4)200,22
C52⋊8(C2×C4) = Dic5⋊2D5φ: C2×C4/C2 → C22 ⊆ Aut C52204+C5^2:8(C2xC4)200,23
C52⋊9(C2×C4) = D5×C20φ: C2×C4/C4 → C2 ⊆ Aut C52402C5^2:9(C2xC4)200,28
C52⋊10(C2×C4) = C4×C5⋊D5φ: C2×C4/C4 → C2 ⊆ Aut C52100C5^2:10(C2xC4)200,33
C52⋊11(C2×C4) = C10×Dic5φ: C2×C4/C22 → C2 ⊆ Aut C5240C5^2:11(C2xC4)200,30
C52⋊12(C2×C4) = C2×C52⋊6C4φ: C2×C4/C22 → C2 ⊆ Aut C52200C5^2:12(C2xC4)200,35


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