Extensions 1→N→G→Q→1 with N=D22 and Q=C2

Direct product G=N×Q with N=D22 and Q=C2
dρLabelID
C22×D1144C2^2xD1188,11

Semidirect products G=N:Q with N=D22 and Q=C2
extensionφ:Q→Out NdρLabelID
D221C2 = D44φ: C2/C1C2 ⊆ Out D22442+D22:1C288,5
D222C2 = C11⋊D4φ: C2/C1C2 ⊆ Out D22442D22:2C288,7

Non-split extensions G=N.Q with N=D22 and Q=C2
extensionφ:Q→Out NdρLabelID
D22.C2 = C4×D11φ: trivial image442D22.C288,4

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