Extensions 1→N→G→Q→1 with N=D58 and Q=C2

Direct product G=NxQ with N=D58 and Q=C2
dρLabelID
C22xD29116C2^2xD29232,13

Semidirect products G=N:Q with N=D58 and Q=C2
extensionφ:Q→Out NdρLabelID
D58:1C2 = D116φ: C2/C1C2 ⊆ Out D581162+D58:1C2232,6
D58:2C2 = C29:D4φ: C2/C1C2 ⊆ Out D581162D58:2C2232,8

Non-split extensions G=N.Q with N=D58 and Q=C2
extensionφ:Q→Out NdρLabelID
D58.C2 = C2xC29:C4φ: C2/C1C2 ⊆ Out D58584+D58.C2232,12
D58.2C2 = C4xD29φ: trivial image1162D58.2C2232,5

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