Extensions 1→N→G→Q→1 with N=D50 and Q=C2

Direct product G=N×Q with N=D50 and Q=C2
dρLabelID
C22×D25100C2^2xD25200,13

Semidirect products G=N:Q with N=D50 and Q=C2
extensionφ:Q→Out NdρLabelID
D501C2 = D100φ: C2/C1C2 ⊆ Out D501002+D50:1C2200,6
D502C2 = C25⋊D4φ: C2/C1C2 ⊆ Out D501002D50:2C2200,8

Non-split extensions G=N.Q with N=D50 and Q=C2
extensionφ:Q→Out NdρLabelID
D50.C2 = C2×C25⋊C4φ: C2/C1C2 ⊆ Out D50504+D50.C2200,12
D50.2C2 = C4×D25φ: trivial image1002D50.2C2200,5

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