Extensions 1→N→G→Q→1 with N=C55 and Q=C22

Direct product G=N×Q with N=C55 and Q=C22
dρLabelID
C2×C110220C2xC110220,15

Semidirect products G=N:Q with N=C55 and Q=C22
extensionφ:Q→Aut NdρLabelID
C55⋊C22 = D5×D11φ: C22/C1C22 ⊆ Aut C55554+C55:C2^2220,11
C552C22 = D110φ: C22/C2C2 ⊆ Aut C551102+C55:2C2^2220,14
C553C22 = C10×D11φ: C22/C2C2 ⊆ Aut C551102C55:3C2^2220,12
C554C22 = D5×C22φ: C22/C2C2 ⊆ Aut C551102C55:4C2^2220,13


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