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Extensions 1→N→G→Q→1 with N=C55 and Q=C2×C4

Direct product G=N×Q with N=C55 and Q=C2×C4
dρLabelID
C2×C220440C2xC220440,39

Semidirect products G=N:Q with N=C55 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C55⋊(C2×C4) = F5×D11φ: C2×C4/C1 → C2×C4 ⊆ Aut C55558+C55:(C2xC4)440,43
C55⋊2(C2×C4) = C2×C11⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C551104C55:2(C2xC4)440,46
C55⋊3(C2×C4) = F5×C22φ: C2×C4/C2 → C4 ⊆ Aut C551104C55:3(C2xC4)440,45
C55⋊4(C2×C4) = Dic5×D11φ: C2×C4/C2 → C22 ⊆ Aut C552204-C55:4(C2xC4)440,17
C55⋊5(C2×C4) = D5×Dic11φ: C2×C4/C2 → C22 ⊆ Aut C552204-C55:5(C2xC4)440,18
C55⋊6(C2×C4) = D55⋊2C4φ: C2×C4/C2 → C22 ⊆ Aut C552204+C55:6(C2xC4)440,19
C55⋊7(C2×C4) = C4×D55φ: C2×C4/C4 → C2 ⊆ Aut C552202C55:7(C2xC4)440,35
C55⋊8(C2×C4) = C20×D11φ: C2×C4/C4 → C2 ⊆ Aut C552202C55:8(C2xC4)440,25
C55⋊9(C2×C4) = D5×C44φ: C2×C4/C4 → C2 ⊆ Aut C552202C55:9(C2xC4)440,30
C55⋊10(C2×C4) = C2×Dic55φ: C2×C4/C22 → C2 ⊆ Aut C55440C55:10(C2xC4)440,37
C55⋊11(C2×C4) = C10×Dic11φ: C2×C4/C22 → C2 ⊆ Aut C55440C55:11(C2xC4)440,27
C55⋊12(C2×C4) = Dic5×C22φ: C2×C4/C22 → C2 ⊆ Aut C55440C55:12(C2xC4)440,32


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