Extensions 1→N→G→Q→1 with N=C22 and Q=C22:A4

Direct product G=NxQ with N=C22 and Q=C22:A4
dρLabelID
C22xC22:A412C2^2xC2^2:A4192,1540

Semidirect products G=N:Q with N=C22 and Q=C22:A4
extensionφ:Q→Aut NdρLabelID
C22:(C22:A4) = C26:C3φ: C22:A4/C24C3 ⊆ Aut C2224C2^2:(C2^2:A4)192,1541

Non-split extensions G=N.Q with N=C22 and Q=C22:A4
extensionφ:Q→Aut NdρLabelID
C22.1(C22:A4) = C42:2A4φ: C22:A4/C24C3 ⊆ Aut C2224C2^2.1(C2^2:A4)192,1020
C22.2(C22:A4) = C42:A4φ: C22:A4/C24C3 ⊆ Aut C221612+C2^2.2(C2^2:A4)192,1023
C22.3(C22:A4) = C42.A4φ: C22:A4/C24C3 ⊆ Aut C224812-C2^2.3(C2^2:A4)192,1025
C22.4(C22:A4) = C2xQ8:A4central extension (φ=1)48C2^2.4(C2^2:A4)192,1506
C22.5(C22:A4) = C2xC23:A4central extension (φ=1)16C2^2.5(C2^2:A4)192,1508
C22.6(C22:A4) = C24.7A4central stem extension (φ=1)16C2^2.6(C2^2:A4)192,1021
C22.7(C22:A4) = Q8:SL2(F3)central stem extension (φ=1)64C2^2.7(C2^2:A4)192,1022
C22.8(C22:A4) = C24:5A4central stem extension (φ=1)16C2^2.8(C2^2:A4)192,1024

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