Extensions 1→N→G→Q→1 with N=C22 and Q=C22

Direct product G=NxQ with N=C22 and Q=C22
dρLabelID
C2416C2^416,14

Semidirect products G=N:Q with N=C22 and Q=C22
extensionφ:Q→Aut NdρLabelID
C22:C22 = C2xD4φ: C22/C2C2 ⊆ Aut C228C2^2:C2^216,11

Non-split extensions G=N.Q with N=C22 and Q=C22
extensionφ:Q→Aut NdρLabelID
C22.C22 = C4oD4φ: C22/C2C2 ⊆ Aut C2282C2^2.C2^216,13
C22.2C22 = C22:C4central extension (φ=1)8C2^2.2C2^216,3
C22.3C22 = C4:C4central extension (φ=1)16C2^2.3C2^216,4
C22.4C22 = C2xQ8central extension (φ=1)16C2^2.4C2^216,12

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