# Extensions 1→N→G→Q→1 with N=C220 and Q=C2

Direct product G=N×Q with N=C220 and Q=C2
dρLabelID
C2×C220440C2xC220440,39

Semidirect products G=N:Q with N=C220 and Q=C2
extensionφ:Q→Aut NdρLabelID
C2201C2 = D220φ: C2/C1C2 ⊆ Aut C2202202+C220:1C2440,36
C2202C2 = C4×D55φ: C2/C1C2 ⊆ Aut C2202202C220:2C2440,35
C2203C2 = C5×D44φ: C2/C1C2 ⊆ Aut C2202202C220:3C2440,26
C2204C2 = C20×D11φ: C2/C1C2 ⊆ Aut C2202202C220:4C2440,25
C2205C2 = C11×D20φ: C2/C1C2 ⊆ Aut C2202202C220:5C2440,31
C2206C2 = D5×C44φ: C2/C1C2 ⊆ Aut C2202202C220:6C2440,30
C2207C2 = D4×C55φ: C2/C1C2 ⊆ Aut C2202202C220:7C2440,40

Non-split extensions G=N.Q with N=C220 and Q=C2
extensionφ:Q→Aut NdρLabelID
C220.1C2 = Dic110φ: C2/C1C2 ⊆ Aut C2204402-C220.1C2440,34
C220.2C2 = C553C8φ: C2/C1C2 ⊆ Aut C2204402C220.2C2440,5
C220.3C2 = C5×Dic22φ: C2/C1C2 ⊆ Aut C2204402C220.3C2440,24
C220.4C2 = C5×C11⋊C8φ: C2/C1C2 ⊆ Aut C2204402C220.4C2440,4
C220.5C2 = C11×Dic10φ: C2/C1C2 ⊆ Aut C2204402C220.5C2440,29
C220.6C2 = C11×C52C8φ: C2/C1C2 ⊆ Aut C2204402C220.6C2440,3
C220.7C2 = Q8×C55φ: C2/C1C2 ⊆ Aut C2204402C220.7C2440,41

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