Extensions 1→N→G→Q→1 with N=D90 and Q=C2

Direct product G=NxQ with N=D90 and Q=C2
dρLabelID
C22xD45180C2^2xD45360,49

Semidirect products G=N:Q with N=D90 and Q=C2
extensionφ:Q→Out NdρLabelID
D90:1C2 = D180φ: C2/C1C2 ⊆ Out D901802+D90:1C2360,27
D90:2C2 = C45:7D4φ: C2/C1C2 ⊆ Out D901802D90:2C2360,29
D90:3C2 = C5:D36φ: C2/C1C2 ⊆ Out D901804+D90:3C2360,10
D90:4C2 = C9:D20φ: C2/C1C2 ⊆ Out D901804+D90:4C2360,13
D90:5C2 = C2xD5xD9φ: C2/C1C2 ⊆ Out D90904+D90:5C2360,45

Non-split extensions G=N.Q with N=D90 and Q=C2
extensionφ:Q→Out NdρLabelID
D90.C2 = D90.C2φ: C2/C1C2 ⊆ Out D901804+D90.C2360,9
D90.2C2 = C4xD45φ: trivial image1802D90.2C2360,26

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