Extensions 1→N→G→Q→1 with N=D54 and Q=C22

Direct product G=NxQ with N=D54 and Q=C22
dρLabelID
C23xD27216C2^3xD27432,227

Semidirect products G=N:Q with N=D54 and Q=C22
extensionφ:Q→Out NdρLabelID
D54:1C22 = C2xD108φ: C22/C2C2 ⊆ Out D54216D54:1C2^2432,45
D54:2C22 = D4xD27φ: C22/C2C2 ⊆ Out D541084+D54:2C2^2432,47
D54:3C22 = C2xC27:D4φ: C22/C2C2 ⊆ Out D54216D54:3C2^2432,52

Non-split extensions G=N.Q with N=D54 and Q=C22
extensionφ:Q→Out NdρLabelID
D54.1C22 = D108:5C2φ: C22/C2C2 ⊆ Out D542162D54.1C2^2432,46
D54.2C22 = D4:2D27φ: C22/C2C2 ⊆ Out D542164-D54.2C2^2432,48
D54.3C22 = Q8:3D27φ: C22/C2C2 ⊆ Out D542164+D54.3C2^2432,50
D54.4C22 = C2xC4xD27φ: trivial image216D54.4C2^2432,44
D54.5C22 = Q8xD27φ: trivial image2164-D54.5C2^2432,49

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