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

Direct product G=N×Q with N=D54 and Q=C22

Semidirect products G=N:Q with N=D54 and Q=C22
extensionφ:Q→Out NdρLabelID
D541C22 = C2×D108φ: C22/C2C2 ⊆ Out D54216D54:1C2^2432,45
D542C22 = D4×D27φ: C22/C2C2 ⊆ Out D541084+D54:2C2^2432,47
D543C22 = C2×C27⋊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 = D1085C2φ: C22/C2C2 ⊆ Out D542162D54.1C2^2432,46
D54.2C22 = D42D27φ: C22/C2C2 ⊆ Out D542164-D54.2C2^2432,48
D54.3C22 = Q83D27φ: C22/C2C2 ⊆ Out D542164+D54.3C2^2432,50
D54.4C22 = C2×C4×D27φ: trivial image216D54.4C2^2432,44
D54.5C22 = Q8×D27φ: trivial image2164-D54.5C2^2432,49