# Extensions 1→N→G→Q→1 with N=C20 and Q=C20

Direct product G=N×Q with N=C20 and Q=C20
dρLabelID
C202400C20^2400,108

Semidirect products G=N:Q with N=C20 and Q=C20
extensionφ:Q→Aut NdρLabelID
C201C20 = C5×C4⋊F5φ: C20/C5C4 ⊆ Aut C20804C20:1C20400,138
C202C20 = C20×F5φ: C20/C5C4 ⊆ Aut C20804C20:2C20400,137
C203C20 = C5×C4⋊Dic5φ: C20/C10C2 ⊆ Aut C2080C20:3C20400,85
C204C20 = Dic5×C20φ: C20/C10C2 ⊆ Aut C2080C20:4C20400,83
C205C20 = C4⋊C4×C52φ: C20/C10C2 ⊆ Aut C20400C20:5C20400,110

Non-split extensions G=N.Q with N=C20 and Q=C20
extensionφ:Q→Aut NdρLabelID
C20.1C20 = C5×C4.F5φ: C20/C5C4 ⊆ Aut C20804C20.1C20400,136
C20.2C20 = C5×C5⋊C16φ: C20/C5C4 ⊆ Aut C20804C20.2C20400,56
C20.3C20 = C5×D5⋊C8φ: C20/C5C4 ⊆ Aut C20804C20.3C20400,135
C20.4C20 = C5×C4.Dic5φ: C20/C10C2 ⊆ Aut C20402C20.4C20400,82
C20.5C20 = C5×C52C16φ: C20/C10C2 ⊆ Aut C20802C20.5C20400,49
C20.6C20 = C10×C52C8φ: C20/C10C2 ⊆ Aut C2080C20.6C20400,81
C20.7C20 = C4⋊C4×C25φ: C20/C10C2 ⊆ Aut C20400C20.7C20400,22
C20.8C20 = M4(2)×C25φ: C20/C10C2 ⊆ Aut C202002C20.8C20400,24
C20.9C20 = M4(2)×C52φ: C20/C10C2 ⊆ Aut C20200C20.9C20400,112

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