Extensions 1→N→G→Q→1 with N=C90 and Q=C2

Direct product G=N×Q with N=C90 and Q=C2
dρLabelID
C2×C90180C2xC90180,12

Semidirect products G=N:Q with N=C90 and Q=C2
extensionφ:Q→Aut NdρLabelID
C901C2 = D90φ: C2/C1C2 ⊆ Aut C90902+C90:1C2180,11
C902C2 = C10×D9φ: C2/C1C2 ⊆ Aut C90902C90:2C2180,10
C903C2 = D5×C18φ: C2/C1C2 ⊆ Aut C90902C90:3C2180,9

Non-split extensions G=N.Q with N=C90 and Q=C2
extensionφ:Q→Aut NdρLabelID
C90.1C2 = Dic45φ: C2/C1C2 ⊆ Aut C901802-C90.1C2180,3
C90.2C2 = C5×Dic9φ: C2/C1C2 ⊆ Aut C901802C90.2C2180,1
C90.3C2 = C9×Dic5φ: C2/C1C2 ⊆ Aut C901802C90.3C2180,2

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